Last update:
Thu Feb 13 10:01:33 MST 2025
William R. Ferng and
Gene H. Golub and
Robert J. Plemmons Adaptive Lanczos methods for recursive
condition estimation . . . . . . . . . . 1--19
Daniel L. Boley and
Sylvan Elhay and
Gene H. Golub and
Martin H. Gutknecht Nonsymmetric Lanczos and finding
orthogonal polynomials associated with
indefinite weights . . . . . . . . . . . 21--43
Rekha Kulkarni and
Pierre-Jean Laurent ${Q}$-splines . . . . . . . . . . . . . 45--73
Charles A. Micchelli Using the refinement equation for the
construction of pre-wavelets . . . . . . 75--116
Phillip J. Barry and
Ronald N. Goldman Shape parameter deletion for Pólya curves 121--137
M. A. Barkatou Characterization of regular singular
linear systems of difference equations 139--154
J. M. Carnicer On best constrained interpolation . . . 155--176
Paul Sablonni\`ere Comparison of four algorithms
accelerating the convergence of a subset
of logarithmic fixed point sequences . . 177--197
Claude Brezinski and
Hassane Sadok Avoiding breakdown in the CGS algorithm 199--206
C. Brezinski and
M. Redivo Zaglia A new presentation of orthogonal
polynomials with applications to their
computation . . . . . . . . . . . . . . 207--221
A. le Méhauté Taylorian fields and subdivision
algorithms . . . . . . . . . . . . . . . 225--235
Ana C. Matos Acceleration results for the vector
E-algorithm . . . . . . . . . . . . . . 237--260
C. Brezinski and
M. Redivo Zaglia and
H. Sadok Avoiding breakdown and near-breakdown in
Lanczos type algorithms . . . . . . . . 261--284
Marc Van Barel and
Adhemar Bultheel The computation of non-perfect
Padé--Hermite approximants . . . . . . . 285--304
G. Csordas and
A. Ruttan and
R. S. Varga The Laguerre inequalities with
applications to a problem associated
with the Riemann hypothesis . . . . . . 305--329
Charles A. Micchelli and
Christophe Rabut and
Florencio I. Utreras Using the refinement equation for the
construction of pre-wavelets. III.
Elliptic splines . . . . . . . . . . . . 331--351
Michael Berry and
Gene Golub Estimating the largest singular values
of large sparse matrices via modified
moments . . . . . . . . . . . . . . . . 353--373
G. Mühlbach and
M. Gasca Multivariate polynomial interpolation
under projectivities. I. Lagrange and
Newton interpolation formulas . . . . . 375--399
Florent Cordellier On the use of Kronecker's algorithm in
the generalized rational interpolation
problem . . . . . . . . . . . . . . . . 401--413
Serge Dubuc and
Abdul Malik Convex hull of powers of a complex
number, trinomial equations and the
Farey sequence . . . . . . . . . . . . . 1--32
Ming Jun Lai Fortran subroutines for ${B}$-nets of
box splines on three- and
four-directional meshes . . . . . . . . 33--38
Christophe Rabut Elementary $m$-harmonic cardinal
${B}$-splines . . . . . . . . . . . . . 39--61 (or 39--62??)
Christophe Rabut High level $m$-harmonic cardinal
${B}$-splines . . . . . . . . . . . . . 63--84
Adhemar Bultheel and
Pablo González-Vera and
Erik Hendriksen and
Olav Njåstad The computation of orthogonal rational
functions and their interpolating
properties . . . . . . . . . . . . . . . 85--114
Naoki Osada Extensions of Levin's transformations to
vector sequences . . . . . . . . . . . . 121--131
C. Brezinski and
M. Redivo Zaglia and
H. Sadok Addendum to: ``Avoiding breakdown and
near-breakdown in Lanczos type
algorithms'' [Numer. Algorithms \bf 1
(1991), no. 3, 261--284, MR 92j:65041] 133--136
Kunio Tanabe and
Masahiko Sagae Pivoting strategy for rank-one
modification of ${LDM}^{\sf t}$-like
factorization . . . . . . . . . . . . . 137--153
Stefan Paszkowski Convergence acceleration of continued
fractions of Poincaré's type $1$ . . . . 155--170
Richard S. Varga and
Amos J. Carpenter Some numerical results on best uniform
rational approximation of $x^\alpha$ on
$[0,1]$ . . . . . . . . . . . . . . . . 171--185
J. L. Merrien A family of Hermite interpolants by
bisection algorithms . . . . . . . . . . 187--200
Stan Cabay and
George Labahn A superfast algorithm for
multidimensional Padé systems . . . . . . 201--224
M. Gasca and
Charles A. Micchelli and
J. M. Peña Almost strictly totally positive
matrices . . . . . . . . . . . . . . . . 225--236
Paul Sablonni\`ere A short note on the generalized Euler
transform for the summation of power
series . . . . . . . . . . . . . . . . . 241--254
M. Gasca and
G. Mühlbach Multivariate polynomial interpolation
under projectivities. II.
Neville--Aitken formulas . . . . . . . . 255--277
Thomas Huckle A note on skewcirculant preconditioners
for elliptic problems . . . . . . . . . 279--286
Pierre Verlinden and
Ann Haegemans An asymptotic expansion in wavelet
analysis and its application to accurate
numerical wavelet decomposition . . . . 287--298
T. Tommasini A new algorithm for special Vandermonde
systems . . . . . . . . . . . . . . . . 299--306
A. Croft An application of convergence
acceleration techniques to a class of
two-point boundary value problems on a
semi-infinite domain . . . . . . . . . . 307--320
G. A. Watson Linear best approximation using a class
of polyhedral norms . . . . . . . . . . 321--335
Robert D. Skeel and
Hon-Wah Tam Limits of parallelism in explicit ODE
methods . . . . . . . . . . . . . . . . 337--349
Craig MacDonald and
Wayne H. Enright Implications of order reduction for
implicit Runge--Kutta methods . . . . . 351--369
Christian H. Bischof and
Per Christian Hansen A block algorithm for computing
rank-revealing ${QR}$ factorizations . . 371--391
Ana C. Matos and
Marc Prévost Acceleration property for the columns of
the ${E}$-algorithm . . . . . . . . . . 393--408
Rembert Reemtsen A cutting plane method for solving
minimax problems in the complex plane 409--436
Daniel Bessis and
Carlos R. Handy Moment problem formulation of the
Schrödinger equation . . . . . . . . . . 1--16
Philip Rabinowitz Extrapolation methods in numerical
integration . . . . . . . . . . . . . . 17--28
Bernhard Beckermann and
Carsten Carstensen A reliable modification of the cross
rule for rational Hermite interpolation 29--44
Bernhard Beckermann and
George Labahn A uniform approach for Hermite Padé and
simultaneous Padé approximants and their
matrix-type generalizations . . . . . . 45--54
T. Bloom and
D. S. Lubinsky and
H. Stahl Interpolatory integration rules and
orthogonal polynomials with varying
weights . . . . . . . . . . . . . . . . 55--65
Catherine M. Bonan-Hamada and
William B. Jones and
W. J. Thron and
Arne Magnus Para-orthogonal Laurent polynomials and
associated sequences of rational
functions . . . . . . . . . . . . . . . 67--74
C. Brezinski and
H. Sadok Some vector sequence transformations
with applications to systems of
equations . . . . . . . . . . . . . . . 75--80
Adhemar Bultheel and
Pablo González-Vera and
Erik Hendriksen and
Olav Njåstad A Favard theorem for orthogonal rational
functions on the unit circle . . . . . . 81--89
Adhemar Bultheel and
Pablo González-Vera and
Erik Hendriksen and
Olav Njåstad A moment problem associated to rational
Szeg\Ho functions . . . . . . . . . . . 91--104
Adhemar Bultheel and
Pablo González-Vera and
Erik Hendriksen and
Olav Njåstad Orthogonal rational functions and
quadrature on the unit circle . . . . . 105--116
M. Camacho and
P. González-Vera Rational approximants to symmetric
formal Laurent series . . . . . . . . . 117--124
J. M. Carnicer Rational interpolation with a single
variable pole . . . . . . . . . . . . . 125--132
C. Carstensen and
G. Mühlbach The Neville--Aitken formula for rational
interpolants with prescribed poles . . . 133--141
John P. Coleman Rational approximations for the cosine
function: ${\rm P}$-acceptability and
order . . . . . . . . . . . . . . . . . 143--158
Annie Cuyt and
Brigitte Verdonk Multivariate rational data fitting:
general data structure, maximal accuracy
and object orientation . . . . . . . . . 159--172
Z. Da Rocha Implementation of the recurrence
relations of biorthogonality . . . . . . 173--183
M. G. de Bruin and
K. A. Driver and
D. S. Lubinsky Convergence of simultaneous Hermite--Padé
approximants to the $n$-tuple of
$q$-hypergeometric series
$\{{}_1\!\Phi_1({1,1\choose c,\gamma_j}
and z)\}^n_{j=1}$ . . . . . . . . . . . 185--192
Mariano Gasca and
José J. Martínez Bivariate Hermite--Birkhoff
interpolation and Vandermonde
determinants . . . . . . . . . . . . . . 193--199
C. González-Concepción and
P. González-Vera and
E. Hendriksen Matrix orthogonal Laurent polynomials
and two-point Padé approximants . . . . . 201--209
S. González-Pinto and
P. González-Vera and
J. C. Santos On extrapolation of Jagerman and Stetter
rules . . . . . . . . . . . . . . . . . 211--222
P. R. Graves-Morris and
R. Thukral Solution of integral equations using
function-valued Padé approximants. II . . 223--234
N. Hayek and
P. González-Vera and
F. Pérez-Acosta Rational approximation to Neumann series
of Bessel functions . . . . . . . . . . 235--244
Herbert H. H. Homeier A Levin-type algorithm for accelerating
the convergence of Fourier series . . . 245--254
William B. Jones and
Olav Njåstad and
Haakon Waadeland Asymptotics for Szeg\Ho polynomial zeros 255--264
A. G. Law and
C. N. Zhang and
A. Rezazadeh and
L. Jódar Evaluation of a rational function . . . 265--272
Hervé Le Ferrand The quadratic convergence of the
topological $\epsilon$-algorithm for
systems of nonlinear equations . . . . . 273--283
Francisco Marcellán and
Gabriela Sansigre Quadratic decomposition of orthogonal
polynomials: a matrix approach . . . . . 285--298
P. Maroni Two-dimensional orthogonal polynomials,
their associated sets and the
co-recursive sets . . . . . . . . . . . 299--311
Ana C. Matos Convergence and acceleration properties
for the vector $\epsilon$-algorithm . . 313--319
Makoto Murofushi and
Hideko Nagasaka On the internal stepsize of an
extrapolation algorithm for IVP in ODE 321--334
Naoki Osada Extrapolation methods for some singular
fixed point sequences . . . . . . . . . 335--344
Miguel A. Piñar and
Teresa E. Pérez On higher order Padé-type approximants
with some prescribed coefficients in the
numerator . . . . . . . . . . . . . . . 345--352
M. Redivo Zaglia Particular rules for the
${\Theta}$-algorithm . . . . . . . . . . 353--369
D. E. Roberts Clifford algebras and vector-valued
rational forms. II . . . . . . . . . . . 371--381
Frode Rònning PC-fractions and Szeg\Ho polynomials
associated with starlike univalent
functions . . . . . . . . . . . . . . . 383--391
A. Ronveaux Sobolev inner products and orthogonal
polynomials of Sobolev type . . . . . . 393--399
Paul Sablonni\`ere Asymptotic behaviour of iterated
modified ${\Delta}^2$ and $\theta_2$
transforms on some slowly convergent
sequences . . . . . . . . . . . . . . . 401--409
Tetsuya Sakurai and
Hiroshi Sugiura and
Tatsuo Torii Numerical factorization of a polynomial
by rational Hermite interpolation . . . 411--418
Franciszek Hugon Szafraniec On extending backwards positive definite
sequences . . . . . . . . . . . . . . . 419--425
Xue Cheng Tai Global extrapolation with a parallel
splitting method . . . . . . . . . . . . 427--440
W. J. Thron Limit periodic Schur algorithms, the
case $\vert\gamma\vert=1,\sum d_n<\infty$ 441--450
M. Van Barel and
A. Bultheel A general module-theoretic framework for
vector M-Padé and matrix rational
interpolation . . . . . . . . . . . . . 451--461
Jeannette Van Iseghem Best choice of the pole for the Padé-type
approximant of a Stieltjes function . . 463--475
Ernst Joachim Weniger Interpolation between sequence
transformations . . . . . . . . . . . . 477--486
Jean-Pierre Dedieu and
Jean-Claude Yakoubsohn Computing the real roots of a polynomial
by the exclusion algorithm . . . . . . . 1--24
Laurent Stolovitch On the computation of a versal family of
matrices . . . . . . . . . . . . . . . . 25--46
Florin Dan Barb and
Martin Weiss Model reduction techniques for
sampled-data systems . . . . . . . . . . 47--64
Marco Marletta Automatic solution of regular and
singular vector Sturm--Liouville
problems . . . . . . . . . . . . . . . . 65--99
Sabine Van Huffel and
Hong Yuan Zha An efficient total least squares
algorithm based on a rank-revealing
two-sided orthogonal decomposition . . . 101--133
Th. Sonar On the design of an upwind scheme for
compressible flow on general
triangulations . . . . . . . . . . . . . 135--149
Per Christian Hansen and
Henrik Gesmar Fast orthogonal decomposition of rank
deficient Toeplitz matrices . . . . . . 151--166
Kuiyuan Li and
Tien-Yien Li A homotopy algorithm for a symmetric
generalized eigenproblem . . . . . . . . 167--195
Wilhelm Niethammer A note on the implementation of the
successive overrelaxation method for
linear complementarity problems . . . . 197--200
Yuan Xu and
W. A. Light and
E. W. Cheney Constructive methods of approximation by
ridge functions and radial functions . . 205--223
Paul Levrie and
Adhemar Bultheel A note on Thiele $n$-fractions . . . . . 225--239
Maria A. Diniz-Ehrhardt and
José Mario Martínez A parallel projection method for
overdetermined nonlinear systems of
equations . . . . . . . . . . . . . . . 241--262
Nguyen Huu Cong ${A}$-stable diagonally implicit
Runge--Kutta--Nyström methods for
parallel computers . . . . . . . . . . . 263--281
M. Calvo and
J. I. Montijano and
L. Rández On the change of step size in multistep
codes . . . . . . . . . . . . . . . . . 283--304
Sylvain Durand Convergence of cascade algorithms
introduced by I. Daubechies . . . . . . 307--322
Kyrre Stròm Products of ${B}$-patches . . . . . . . 323--337
Carmelo Clavero and
Francisco Lisbona Uniformly convergent finite difference
methods for singularly perturbed
problems with turning points . . . . . . 339--359
Khalide Jbilou A general projection algorithm for
solving systems of linear equations . . 361--377
Pascal Joly and
Gérard Meurant Complex conjugate gradient methods . . . 379--406
Carl de Boor On the evaluation of box splines . . . . 5--23
J. C. Mason and
G. Rodriguez and
S. Seatzu Orthogonal splines based on
${B}$-splines---with applications to
least squares, smoothing and
regularisation problems . . . . . . . . 25--40
B. L. MacCarthy and
C. S. Syan and
M. Caulfield-Browne Splines in motion --- An introduction to
MODUS and some unresolved approximation
problems . . . . . . . . . . . . . . . . 41--49
Gerlind Plonka An efficient algorithm for periodic
Hermite spline interpolation with
shifted nodes . . . . . . . . . . . . . 51--62
Leonardo Traversoni An algorithm for natural spline
interpolation . . . . . . . . . . . . . 63--70
Ruud van Damme An algorithm for determining the
approximation orders of multivariate
periodic spline spaces . . . . . . . . . 71--81
I. Barrodale and
R. Kuwahara and
R. Poeckert and
D. Skea Side-scan sonar image processing using
thin plate splines and control point
matching . . . . . . . . . . . . . . . . 85--98
M. J. D. Powell Truncated Laurent expansions for the
fast evaluation of thin plate splines 99--120
David Handscomb Local recovery of a solenoidal vector
field by an extension of the thin-plate
spline technique . . . . . . . . . . . . 121--129
M. G. Cox Reliable determination of interpolating
polynomials . . . . . . . . . . . . . . 133--154
Jean-Paul Berrut A closed formula for the \vCeby\vsev
barycentric weights of optimal
approximation in ${H}^2$ . . . . . . . . 155--163
Morten Dæhlen and
Michael Floater Iterative polynomial interpolation and
data compression . . . . . . . . . . . . 165--177
Jürgen Prestin Lagrange interpolation on extended
generalized Jacobi nodes . . . . . . . . 179--190
I. J. Anderson and
M. G. Cox and
J. C. Mason Tensor-product spline interpolation to
data on or near a family of lines . . . 193--204
L. Lenarduzzi Practical selection of neighbourhoods
for local regression in the bivariate
case . . . . . . . . . . . . . . . . . . 205--213
S. Thiry Extremal signatures for bivariate
Chebyshev approximation problems . . . . 215--225
Wolfgang Dahmen Decomposition of refinable spaces and
applications to operator equations . . . 229--245
W. A. Light Techniques for generating approximations
via convolution kernels . . . . . . . . 247--261
G. A. Watson On matrix approximation problems with Ky
Fan $k$ norms . . . . . . . . . . . . . 263--272
I. D. Coope and
P. R. Graves-Morris The rise and fall of the vector
$\epsilon$-algorithm . . . . . . . . . . 275--286
Bernd Fischer and
Jan Modersitzki An algorithm for complex linear
approximation based on semi-infinite
programming . . . . . . . . . . . . . . 287--297
M.-P. Istace and
J.-P. Thiran On computing best Chebyshev complex
rational approximants . . . . . . . . . 299--308
Kristján Jónasson A projected conjugate gradient method
for sparse minimax problems . . . . . . 309--323
Jack Williams and
Z. Kalogiratou Nonlinear Chebyshev fitting from the
solution of ordinary differential
equations . . . . . . . . . . . . . . . 325--337
M. T. Bozzini and
C. Paracelli An algorithm for constrained smoothing
functions . . . . . . . . . . . . . . . 341--351
Raymond H. Chan and
Ping Tak Peter Tang Constrained minimax approximation and
optimal preconditioners for Toeplitz
matrices . . . . . . . . . . . . . . . . 353--364
G. H. Elliott Least squares data fitting using shape
preserving piecewise approximations . . 365--371
Charles A. Micchelli Optimal estimation of linear operators
from inaccurate data: a second look . . 375--390
Giuseppe Rodriguez and
Sebastiano Seatzu Approximation methods for the finite
moment problem . . . . . . . . . . . . . 391--405
Ken W. Bosworth and
Upmanu Lall An ${L}_1$ smoothing spline algorithm
with cross validation . . . . . . . . . 407--417
D. de Falco and
K. M. Frontini and
L. Gotusso A unifying approach to the
regularization of Fourier polynomials 419--424
Claudio Barone and
Ezio Venturino On the numerical evaluation of Cauchy
transforms . . . . . . . . . . . . . . . 429--436
L. Brutman An application of the generalized
alternating polynomials to the numerical
solution of Fredholm integral equations 437--442
C. Dagnino and
V. Demichelis and
E. Santi An algorithm for numerical integration
based on quasi-interpolating splines . . 443--452
Manfred Tasche Fast algorithms for discrete
Chebyshev--Vandermonde transforms and
applications . . . . . . . . . . . . . . 453--464
B. P. Butler and
A. B. Forbes An algorithm for combining data sets
having different frames of reference . . 467--477
P. Ciarlini and
F. Pavese Application of special reduction
procedures to metrological data . . . . 479--489
M. G. Cox and
P. M. Harris and
D. A. Humphreys An algorithm for the removal of noise
and jitter in signals and its
application to picosecond electrical
measurement . . . . . . . . . . . . . . 491--508
Rudolf Drieschner Chebyshev approximation to data by
geometric elements . . . . . . . . . . . 509--522
A. B. Forbes Generalized regression problems in
metrology . . . . . . . . . . . . . . . 523--533
H.-P. Helfrich and
D. Zwick A trust region method for implicit
orthogonal distance regression . . . . . 535--545
Emanuele Galligani ${C}^1$ surface interpolation with
constraints . . . . . . . . . . . . . . 549--555
Bas J. Hogervorst and
Ruud van Damme Degenerate polynomial patches of degree
$11$ for almost ${GC}^2$ interpolation
over triangles . . . . . . . . . . . . . 557--568
P. R. Pfluger and
M. Neamtu On degenerate surface patches . . . . . 569--575
Shmuel Rippa Scattered data interpolation using
minimum energy Powell--Sabin elements
and data dependent triangulations . . . 577--587
Eric Grosse Approximation in VLSI simulation . . . . 591--601
R. Model and
L. Trahms An inverse problem of magnetic source
localization . . . . . . . . . . . . . . 603--610
A. Potchinkov and
R. Reemtsen A globally most violated cutting plane
method for complex minimax problems with
application to digital filter design . . 611--620
Venkat V. S. S. Sastry Algorithms for the computation of Hankel
functions of complex order . . . . . . . 621--628
Per Christian Hansen REGULARIZATION TOOLS: A Matlab package
for analysis and solution of discrete
ill-posed problems . . . . . . . . . . . 1--35
Zhi Jian Huang The semilocal convergence of a
generalization of Brent's and Brown's
methods . . . . . . . . . . . . . . . . 37--62
Jean-Claude Yakoubsohn Approximating the zeros of analytic
functions by the exclusion algorithm . . 63--88
Tony F. Chan and
Julia A. Olkin Circulant preconditioners for
Toeplitz-block matrices . . . . . . . . 89--101
B. J. C. Baxter and
C. A. E. Micchelli Norm estimates for the $l^2$-inverses of
multivariate Toeplitz matrices . . . . . 103--117
H. Allouche and
A. Cuyt Well-defined determinant representations
for nonnormal multivariate rational
interpolants . . . . . . . . . . . . . . 119--135
H. Allouche and
A. Cuyt Singular rules for a multivariate
quotient-difference algorithm . . . . . 137--168
J.-P. Dedieu and
Ch. Favardin Algorithms for ordering unorganized
points along parametrized curves . . . . 169--200
Sylvan Elhay and
Jaroslav Kautsky Jacobi matrices for measures modified by
a rational factor . . . . . . . . . . . 205--227
Avram Sidi Convergence of intermediate rows of
minimal polynomial and reduced rank
extrapolation tables . . . . . . . . . . 229--244
J. C. Dodu and
T. Eve and
M. Minoux Implementation of a proximal algorithm
for linearly constrained nonsmooth
optimization problems and computational
results . . . . . . . . . . . . . . . . 245--273
Dganit Amitai and
Amir Averbuch and
Samuel Itzikowitz and
Eli Turkel Asynchronous and corrected-asynchronous
finite difference solutions of PDEs on
MIMD multiprocessors . . . . . . . . . . 275--296
Gerlind Plonka Optimal shift parameters for periodic
spline interpolation . . . . . . . . . . 297--316
Anne-Mercedes Bellido Construction of iteration functions for
the simultaneous computation of the
solutions of equations and algebraic
systems . . . . . . . . . . . . . . . . 317--351
Michael K. Ng and
Raymond H. Chan Fast iterative methods for least squares
estimations . . . . . . . . . . . . . . 353--378
Jean-Charles Fiorot and
Pierre Jeannin and
Salim Taleb New control massic polygon of a
${B}$-rational curve resulting from a
homographic change of parameter . . . . 379--418
Randolph E. Bank and
Tony F. Chan A composite step bi-conjugate gradient
algorithm for nonsymmetric linear
systems . . . . . . . . . . . . . . . . 1--16
Tony F. Chan and
Tedd Szeto A composite step conjugate gradients
squared algorithm for solving
nonsymmetric linear systems . . . . . . 17--32
C. Brezinski and
M. Redivo Zaglia Treatment of near-breakdown in the CGS
algorithm . . . . . . . . . . . . . . . 33--73
G. L. G. Sleijpen and
H. A. van der Vorst and
D. R. Fokkema ${\rm {BiCGstab}}(l)$ and other hybrid
Bi-CG methods . . . . . . . . . . . . . 75--109
C. S. Kenney and
A. J. Lamb A hyperbolic tangent identity and the
geometry of Padé sign function iterations 111--128
Jean-Marie Chesneaux The equality relations in scientific
computing . . . . . . . . . . . . . . . 129--143
M. Mitrouli and
G. Kalogeropoulos A compound matrix algorithm for the
computation of the Smith form of a
polynomial matrix . . . . . . . . . . . 145--159
Guido Walz Asymptotic expansions for classical and
generalized divided differences
including applications . . . . . . . . . 161--171
Augustin A. Dubrulle and
Gene H. Golub A multishift QR iteration without
computation of the shifts . . . . . . . 173--181
Martin Hanke and
James G. Nagy Toeplitz approximate inverse
preconditioner for banded Toeplitz
matrices . . . . . . . . . . . . . . . . 183--199
Charles B. Dunham Uniform approximation by McCallig
rationals . . . . . . . . . . . . . . . 201--204
R. Wright and
J. Cash and
G. Moore Mesh selection for stiff two-point
boundary value problems . . . . . . . . 205--224
A. Salam Non-commutative extrapolation algorithms 225--251
Xingping Sun Cardinal Hermite interpolation using
positive definite functions . . . . . . 253--268
Philip T. Keenan Mixed methods on quadrilaterals and
hexahedra . . . . . . . . . . . . . . . 269--293
P. Ciarlet, Jr. Repeated Red-Black ordering: a new
approach . . . . . . . . . . . . . . . . 295--324
Serge J. Olszanskyj and
James M. Lebak and
Adam W. Boja\'nczyk Rank-$k$ modification methods for
recursive least squares problems . . . . 325--354
Cristian Oara Proper deflating subspaces: properties,
algorithms and applications . . . . . . 355--373
Lina Hemmingsson A fast modified sine transform for
solving block-tridiagonal systems with
Toeplitz blocks . . . . . . . . . . . . 375--389
Jean-Louis Merrien Dyadic Hermite interpolants on a
triangulation . . . . . . . . . . . . . 391--410
Radka Turcajová Factorizations and construction of
linear phase paraunitary filter banks
and higher multiplicity wavelets . . . . 1--25
Radka Turcajová and
Jaroslav Kautsky Shift products and factorizations of
wavelet matrices . . . . . . . . . . . . 27--45
Herbert H. H. Homeier A hierarchically consistent, iterative
sequence transformation . . . . . . . . 47--81
T. O. Espelid and
K. J. Overholt DQAINF: an algorithm for automatic
integration of infinite oscillating
tails . . . . . . . . . . . . . . . . . 83--101
G. Mühlbach and
M. Gasca Multivariate polynomial interpolation
under projectivities. III. Remainder
formulas . . . . . . . . . . . . . . . . 103--109
Guang Fu Sun and
Martin Stynes Finite element methods on piecewise
equidistant meshes for interior turning
point problems . . . . . . . . . . . . . 111--129
Xingping Sun The fundamentality of translates of a
continuous function on spheres . . . . . 131--134
G. A. Watson Linear best approximation using a class
of $k$-major $l_p$ norms . . . . . . . . 135--146
Erlend Arge and
Michael Floater Approximating scattered data with
discontinuities . . . . . . . . . . . . 149--166
Bernard Bialecki Cyclic reduction and FACR methods for
piecewise Hermite bicubic orthogonal
spline collocation . . . . . . . . . . . 167--184
Boris G. Zaslavsky and
Alexander Moskvin Numerical solution of positive control
problem via linear programming . . . . . 185--199
Terje O. Espelid and
Alan Genz DECUHR: an algorithm for automatic
integration of singular functions over a
hyperrectangular region . . . . . . . . 201--220
Yair Censor and
Tommy Elfving A multiprojection algorithm using
Bregman projections in a product space 221--239
Gene H. Golub and
Zden\vek Strako\vs Estimates in quadratic formulas . . . . 241--268
Kuiyuan Li and
Tien-Yien Li and
Zhong Gang Zeng An algorithm for the generalized
symmetric tridiagonal eigenvalue problem 269--291
P. J. van der Houwen and
B. P. Sommeijer and
W. A. van der Veen Parallelism across the steps in iterated
Runge--Kutta methods for stiff initial
value problems . . . . . . . . . . . . . 293--312
Stanis\law Tokarzewski and
Jerzy B\lawzdziewicz and
Igor Andrianov Two-point Padé approximants for formal
Stieltjes series . . . . . . . . . . . . 313--328
Tony F. Chan and
Jun Zou Additive Schwarz domain decomposition
methods for elliptic problems on
unstructured meshes . . . . . . . . . . 329--346
Daeshik Lee Fast parallel solution of the Poisson
equation on irregular domains . . . . . 347--362
Guo Liang Xue On an open problem in spherical facility
location . . . . . . . . . . . . . . . . 1--12
Jack W. Rogers, Jr. Potential transformation methods for
large-scale constrained global
optimization . . . . . . . . . . . . . . 13--24
E. H. Kaufman, Jr. and
D. J. Leeming and
G. D. Taylor An ODE-based approach to nonlinearly
constrained minimax problems . . . . . . 25--37
J. C. Mason and
G. H. Elliott Constrained near-minimax approximation
by weighted expansion and interpolation
using Chebyshev polynomials of the
second, third, and fourth kinds . . . . 39--54
D. Healy and
T. Olsen and
J. Weaver Reduced motion artifacts in medical
imaging by adaptive spatio-temporal
reconstruction . . . . . . . . . . . . . 55--84
Ken W. Bosworth and
Upmanu Lall LOWLAD: a locally weighted ${L}_1$
smoothing spline algorithm with cross
validated choice of smoothing parameters 85--106
David Gifford and
Robert Huotari Best ${L}_1$ approximation by convex
functions . . . . . . . . . . . . . . . 107--111
David Levin and
Edmond Nadler Convexity preserving interpolation by
algebraic curves and surfaces . . . . . 113--139
Kang Zhao Best interpolation in seminorm with
convex constraints . . . . . . . . . . . 141--156
R. K. Wright Spline fitting discontinuous functions
given just a few Fourier coefficients 157--169
H.-P. Helfrich and
D. Zwick Trust region algorithms for the
nonlinear least distance problem . . . . 171--179
Zi Cai Li Splitting-integrating method for inverse
transformation of $n$-dimensional
digital images and patterns . . . . . . 181--198
Walter Gautschi The work of Philip Rabinowitz on
numerical integration . . . . . . . . . 199--222
Jean-Claude Yakoubsohn A universal constant for the convergence
of Newton's method and an application to
the classical homotopy method . . . . . 223--244
Gabriele Steidl On multivariate attenuation factors . . 245--261
Karin Willemans and
Paul Dierckx Nonnegative surface fitting with
Powell--Sabin splines . . . . . . . . . 263--276
C. K. Chui and
T. X. He Bivariate interpolatory rational splines 277--291
J. Prestin and
E. Quak Trigonometric interpolation and wavelet
decompositions . . . . . . . . . . . . . 293--317
David Lee and
Henryk Wo\'zniakowski Testing nonlinear operators . . . . . . 319--342
R. G. Campos A quadrature formula for the Hankel
transform . . . . . . . . . . . . . . . 343--354
W. Krajewski and
A. Lepschy and
M. Redivo Zaglia and
U. Viaro A program for solving the ${L}_2$
reduced-order model problem with fixed
denominator degree . . . . . . . . . . . 355--377
C. González-Concepción and
V. Cano Fernández and
C. Gil Fariña The $\epsilon$-algorithm for the
identification of a transfer-function
model: some applications . . . . . . . . 379--395
Tony F. Chan and
Jun Zou Erratum to: ``Additive Schwarz domain
decomposition methods for elliptic
problems on unstructured meshes''
[Numer. Algorithms \bf 8 (1994), no.
2--4, 329--346, MR 95i:65174] . . . . . 397--397
Anonymous Book reviews . . . . . . . . . . . . . . 399--406
Günter Baszenski and
Franz-Jürgen Delvos Computational aspects of Boolean
cubature . . . . . . . . . . . . . . . . 1--11
B. C. Carlson Numerical computation of real or complex
elliptic integrals . . . . . . . . . . . 13--26
Laura Gori and
Elisabetta Santi On the evaluation of Hilbert transforms
by means of a particular class of Turán
quadrature rules . . . . . . . . . . . . 27--39
D. B. Hunter The evaluation of Legendre functions of
the second kind . . . . . . . . . . . . 41--49
Arieh Iserles and
Syvert P. Nòrsett Explicit representations of biorthogonal
polynomials . . . . . . . . . . . . . . 51--67
Lisa Lorentzen Computation of limit periodic continued
fractions. A survey . . . . . . . . . . 69--111
G. Mastroianni Generalized Christoffel functions and
error of positive quadrature . . . . . . 113--126
Gradimir V. Milovanovi\'c Summation of series and Gaussian
quadratures. II . . . . . . . . . . . . 127--136
J. M. Montaner and
M. Alfaro On five-diagonal Toeplitz matrices and
orthogonal polynomials on the unit
circle . . . . . . . . . . . . . . . . . 137--153
M. Morandi Cecchi and
E. Pirozzi A recursive algorithm by the moments
method to evaluate a class of numerical
integrals over an infinite interval . . 155--165
Sotirios E. Notaris Stieltjes polynomials and Gauss--Kronrod
quadrature formulae for measures induced
by Chebyshev polynomials . . . . . . . . 167--186
Knut Petras Gaussian integration of Chebyshev
polynomials and analytic functions . . . 187--202
G\`erard L. G. Sleijpen and
Henk A. van der Vorst Maintaining convergence properties of
BiCGstab methods in finite precision
arithmetic . . . . . . . . . . . . . . . 203--223
Adam W. Boja\'nczyk and
Richard P. Brent and
Frank R. de Hoog Stability analysis of a general Toeplitz
systems solver . . . . . . . . . . . . . 225--244
Xiao Pu Yan Multistep methods for differential
algebraic equations . . . . . . . . . . 245--260
M. C. Bartholomew-Biggs and
S. Zakovic Using Markov's interval arithmetic to
evaluate Bessel--Riccati functions . . . 261--287
Adhemar Bultheel and
Marc Van Barel Formal orthogonal polynomials and
Hankel/Toeplitz duality . . . . . . . . 289--335
S. Paszkowski Quasipower and hypergeometric
series---construction and evaluation . . 337--361
S. H. Lui and
G. H. Golub Homotopy method for the numerical
solution of the eigenvalue problem of
self-adjoint partial differential
operators . . . . . . . . . . . . . . . 363--378
Jaeyoung Choi and
Jack J. Dongarra and
David W. Walker The design of a parallel dense linear
algebra software library: reduction to
Hessenberg, tridiagonal, and bidiagonal
form . . . . . . . . . . . . . . . . . . 379--399
J. Levesley Convolution kernels based on thin-plate
splines . . . . . . . . . . . . . . . . 401--419
P. Ciarlini and
F. Pavese Erratum to ``Application of special
reduction procedures to metrological
data'' [Numer. Algorithms \bf 5 (1993),
no. 1--4, 479--489] . . . . . . . . . . 421--421
Bernhard Beckermann The stable computation of formal
orthogonal polynomials . . . . . . . . . 1--23
C. Brezinski and
P. Maroni The algebra of linear functionals on
polynomials, with applications to Padé
approximation . . . . . . . . . . . . . 25--33
C. Brezinski and
M. Redivo-Zaglia A look-ahead strategy for the
implementation of some old and new
extrapolation methods . . . . . . . . . 35--55
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Orthogonal rational functions and
modified approximants . . . . . . . . . 57--69
J. C. Butcher Orthogonal polynomials, Padé
approximations and ${A}$-stability . . . 71--78
D. Calvetti and
L. Reichel A hybrid iterative method for symmetric
positive definite linear systems . . . . 79--98
Jean-Marie Chesneaux and
Ana C. Matos Breakdown and near-breakdown control in
the CGS algorithm using stochastic
arithmetic . . . . . . . . . . . . . . . 99--116
Cathleen M. Craviotto and
William B. Jones and
W. J. Thron and
Nancy J. Wyshinski Computation of special functions by Padé
approximants with orthogonal polynomial
denominators . . . . . . . . . . . . . . 117--141
André Draux Formal orthogonal polynomials revisited.
Applications . . . . . . . . . . . . . . 143--158
Nahid Emad The Padé-Rayleigh--Ritz method for
solving large Hermitian eigenproblems 159--179
Bernd Fischer and
Martin Hanke and
Marlis Hochbruck A note on conjugate-gradient type
methods for indefinite and/or
inconsistent linear systems . . . . . . 181--187
P. R. Graves-Morris A new approach to acceleration of
convergence of a sequence of vectors . . 189--201
Martin Hanke Asymptotics of orthogonal polynomials
and the numerical solution of ill-posed
problems . . . . . . . . . . . . . . . . 203--214
Arieh Iserles Biorthogonal polynomials: Recent
developments . . . . . . . . . . . . . . 215--228
Harry Kiesel and
Jet Wimp A note on Koornwinder's polynomials with
weight function
$(1-x)^\alpha(1+x)^\beta+{M}\delta(x+1)+{N}\delta(x-1)$ 229--241
P. Maroni On a regular form defined by a
pseudo-function . . . . . . . . . . . . 243--254
Ana C. Matos Some convergence results for the
generalized Padé-type approximants . . . 255--269
Giovanni Monegato A stable Nyström interpolant for some
Mellin convolution equations . . . . . . 271--283
M. Morandi Cecchi and
E. Di Nardo The modified bordering method to
evaluate eigenvalues and eigenvectors of
normal matrices . . . . . . . . . . . . 285--309
Syvert P. Nòrsett and
Bente Òstigård Dual-orthogonal polynomials . . . . . . 311--326
A. Salam An algebraic approach to the vector
$\epsilon$-algorithm . . . . . . . . . . 327--337
Jeannette Van Iseghem and
Peter R. Graves-Morris Approximation of a function given by its
Laurent series . . . . . . . . . . . . . 339--351
E. J. Grimme and
D. C. Sorensen and
P. Van Dooren Model reduction of state space systems
via an implicitly restarted Lanczos
method . . . . . . . . . . . . . . . . . 1--31
K. Gallivan and
E. Grimme and
P. Van Dooren A rational Lanczos algorithm for model
reduction . . . . . . . . . . . . . . . 33--63
M. Arioli and
H. Munthe-Kaas and
L. Valdettaro Componentwise error analysis for FFTs
with applications to fast Helmholtz
solvers . . . . . . . . . . . . . . . . 65--88
K. Pan On the method of finding frequencies
with large amplitudes . . . . . . . . . 89--96
Qiang Ye An adaptive block Lanczos algorithm . . 97--110
Bernd Mulansky and
Jochen W. Schmidt Constructive methods in convex ${C}^2$
interpolation using quartic splines . . 111--124
D. Calvetti and
L. Reichel An adaptive Richardson iteration method
for indefinite linear systems . . . . . 125--149
Anke Gresbrand Rational ${B}$-splines with prescribed
poles . . . . . . . . . . . . . . . . . 151--158
Dganit Amitai and
Amir Averbuch and
Moshe Israeli and
Samuel Itzikowitz On parallel asynchronous high-order
solutions of parabolic PDEs . . . . . . 159--192
P. Ciarlet, Jr. and
F. Lamour On the validity of a front-oriented
approach to partitioning large sparse
graphs with a connectivity constraint 193--214
Karin Willemans and
Paul Dierckx Smoothing scattered data with a monotone
Powell--Sabin spline surface . . . . . . 215--232
Charles H. Tong and
Qiang Ye A linear system solver based on a
modified Krylov subspace method for
breakdown recovery . . . . . . . . . . . 233--251
Allan J. MacLeod Rational approximations, software and
test methods for sine and cosine
integrals . . . . . . . . . . . . . . . 259--272
Yixun Shi A globalization procedure for solving
nonlinear systems of equations . . . . . 273--286
Thomas Sauer and
Yuan Xu Regular points for Lagrange
interpolation on the unit disk . . . . . 287--296
Wanzhen Huang Heuristic solutions to polynomial moment
problems with some convex entropic
objectives . . . . . . . . . . . . . . . 297--308
Andreas Karageorghis and
Marcin Paprzycki An efficient direct method for fully
conforming spectral collocation schemes 309--319
P. Witomski Approximation of the capillarity problem
by an augmented Lagrangian method . . . 321--346
Z. Jackiewicz and
S. Tracogna Variable stepsize continuous two-step
Runge--Kutta methods for ordinary
differential equations . . . . . . . . . 347--368
Bo Kågström and
Peter Poromaa Computing eigenspaces with specified
eigenvalues of a regular matrix pair $
(A, B) $ and condition estimation:
theory, algorithms and software . . . . 369--407
Bernard Beauzamy Reconstructing a signal from the
knowledge of the norms of its multiples 409--414
Takemitsu Hasegawa and
Avram Sidi An automatic integration procedure for
infinite range integrals involving
oscillatory kernels . . . . . . . . . . 1--19
Christine Thomas-Agnan Computing a family of reproducing
kernels for statistical applications . . 21--32
Daniel Hempel Isotropic refinement and recoarsening in
two dimensions . . . . . . . . . . . . . 33--43
Brigida Molina and
Marcos Raydan Preconditioned Barzilai--Borwein method
for the numerical solution of partial
differential equations . . . . . . . . . 45--60
Alain Pietrus A globally convergent method for solving
nonlinear equations without the
differentiability condition . . . . . . 61--76
Dietmar Hietel and
Andreas Meister and
Thomas Sonar On the comparison of four different
implementations of a third-order ENO
scheme of box type for the computation
of compressible flow . . . . . . . . . . 77--105
M. Gugat The Newton differential correction
algorithm for rational Chebyshev
approximation with constrained
denominators . . . . . . . . . . . . . . 107--122
Sowmini Varadhan and
Michael W. Berry and
Gene H. Golub Approximating dominant singular triplets
of large sparse matrices via modified
moments . . . . . . . . . . . . . . . . 123--152
Helmut Brass On the quality of algorithms based on
spline interpolation . . . . . . . . . . 159--177
Dario Andrea Bini Numerical computation of polynomial
zeros by means of Aberth's method . . . 179--200
P. Ciarlet, Jr. and
F. Lamour Does contraction preserve triangular
meshes? . . . . . . . . . . . . . . . . 201--223
Zi-Cai Li Analysis of discrete techniques for
image transformation . . . . . . . . . . 225--263
J.-C. Fiorot and
P. Jeannin A blossoming approach to accuracy of the
degree elevation process . . . . . . . . 265--306
Thomas Hermann On the stability of polynomial
transformations between Taylor,
Bernstein and Hermite forms . . . . . . 307--320
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad On the convergence of multipoint
Padé-type approximants and quadrature
formulas associated with the unit circle 321--344
J. M. Carnicer and
M. S. Floater Piecewise linear interpolants to
Lagrange and Hermite convex scattered
data . . . . . . . . . . . . . . . . . . 345--364
Tony F. Chan and
Jun Zou A convergence theory of multilevel
additive Schwarz methods on unstructured
meshes . . . . . . . . . . . . . . . . . 365--398
C. Brezinski Book Reviews . . . . . . . . . . . . . . 399--404
Luca Dieci and
Don Estep and
Eric Van de Velde Preface . . . . . . . . . . . . . . . . 1--1
Uri M. Ascher Stabilization of invariants of
discretized differential systems . . . . 1--24
W.-J. Beyn and
J.-M. Kleinkauf Numerical approximation of homoclinic
chaos . . . . . . . . . . . . . . . . . 25--53
Brian A. Coomes and
Hüseyin Koçak and
Kenneth J. Palmer Long periodic shadowing . . . . . . . . 55--78
Luca Dieci and
Jens Lorenz Lyapunov-type numbers and torus
breakdown: numerical aspects and a case
study . . . . . . . . . . . . . . . . . 79--102
E. J. Doedel and
M. J. Friedman and
B. I. Kunin Successive continuation for locating
connecting orbits . . . . . . . . . . . 103--124
Mark E. Johnson and
Michael S. Jolly and
Ioannis G. Kevrekidis Two-dimensional invariant manifolds and
global bifurcations: some approximation
and visualization studies . . . . . . . 125--140
Peter E. Kloeden and
Björn Schmalfuß Nonautonomous systems, cocycle
attractors and variable time-step
discretization . . . . . . . . . . . . . 141--152
Martin W. Lo Libration point trajectory design . . . 153--164
Andrei A. Lyashenko On the stability of the spectral
Galerkin approximation . . . . . . . . . 165--178
James C. Robinson Convergent families of inertial
manifolds for convergent approximations 179--188
Tony Shardlow Inertial manifolds and linear multi-step
methods . . . . . . . . . . . . . . . . 189--209
M. W. Smiley Numerical bifurcation and stability
analysis for steady-states of reaction
diffusion equations . . . . . . . . . . 211--225
A. M. Stuart Probabilistic and deterministic
convergence proofs for software for
initial value problems . . . . . . . . . 227--260
Alexander Tovbis Homoclinic connections and numerical
integration . . . . . . . . . . . . . . 261--267
Zhilin Li Immersed interface methods for moving
interface problems . . . . . . . . . . . 269--293
Zhong-Zhi Bai A class of two-stage iterative methods
for systems of weakly nonlinear
equations . . . . . . . . . . . . . . . 295--319
André Draux and
Borhane Moalla Rectangular matrix Padé approximants and
square matrix orthogonal polynomials . . 321--341
Abdelmalek Nigro and
Pierre-Jean Laurent Progressive stable interpolation . . . . 343--359
François Alouges and
Philippe Loreaux Massively parallel preconditioners for
symmetric positive definite linear
systems . . . . . . . . . . . . . . . . 361--375
Leif Kobbelt Stable evaluation of box-splines . . . . 377--382
Wayne Lawton and
Charles A. Micchelli Construction of conjugate quadrature
filters with specified zeros . . . . . . 383--399
Anonymous Book reviews . . . . . . . . . . . . . . 401--403
Ulrich Reif Uniform B-spline approximation in
Sobolev spaces . . . . . . . . . . . . . 1--14
Robert Erra and
Bernard Philippe On some structured inverse eigenvalue
problems . . . . . . . . . . . . . . . . 15--35
Ricardo D. Fierro and
Per Christian Hansen Low-rank revealing UTV decompositions 37--55
Dario Andrea Bini and
Beatrice Meini Improved cyclic reduction for solving
queueing problems . . . . . . . . . . . 57--74
M. Kzaz Gaussian quadrature and acceleration of
convergence . . . . . . . . . . . . . . 75--89
Luca Gemignani Chebyshev rational interpolation . . . . 91--110
C. Arnold Formal continued fractions solutions of
the generalized second order Riccati
equations, applications . . . . . . . . 111--134
Claude Brezinski Book reviews . . . . . . . . . . . . . . 135--137
I. J. Anderson A piecewise approach to piecewise
approximation . . . . . . . . . . . . . 139--152
Hans Strauss On interpolation with products of
positive definite functions . . . . . . 153--165
Celina Pestano-Gabino and
Concepción González-Concepción Matrix Padé approximation of rational
functions . . . . . . . . . . . . . . . 167--192
Vasile Dragan and
Aristide Halanay and
Adrian Stoica Well-conditioned computation for
$H^\infty$ controller near the optimum 193--206
N. M. Temme Numerical algorithms for uniform
Airy-type asymptotic expansions . . . . 207--225
Nicholas J. Higham Stable iterations for the matrix square
root . . . . . . . . . . . . . . . . . . 227--242
C. Brezinski Book reviews . . . . . . . . . . . . . . 243--246
P. R. Graves-Morris A ``look-around Lanczos'' algorithm for
solving a system of linear equations . . 247--274
A. Benazzouz Quasilinear sequence transformations . . 275--285
A. Averbuch and
L. Vozovoi and
M. Israeli On a fast direct elliptic solver by a
modified Fourier method . . . . . . . . 287--313
J. Bahi and
J. C. Miellou and
K. Rhofir Asynchronous multisplitting methods for
nonlinear fixed point problems . . . . . 315--345
Zhong-Zhi Bai Parallel multisplitting two-stage
iterative methods for large sparse
systems of weakly nonlinear equations 347--372
Pierre-Jean Laurent and
Marie-Laurence Mazure and
Voichi\cta Teodora Maxim Chebyshev splines and shape parameters 373--383
Claude Brezinski Book reviews . . . . . . . . . . . . . . 385--388
Guillaume Alléon and
Michele Benzi and
Luc Giraud Sparse approximate inverse
preconditioning for dense linear systems
arising in computational
electromagnetics . . . . . . . . . . . . 1--15
B. Dumitrescu and
M. Doreille and
J.-L. Roch and
D. Trystram Two-dimensional block partitionings for
the parallel sparse Cholesky
factorization . . . . . . . . . . . . . 17--38
J. P. Gregoire and
C. Rose and
B. Thomas Direct and iterative solvers for
finite-element problems . . . . . . . . 39--53
Vincent Heuveline and
Bernard Philippe and
Miloud Sadkane Parallel computation of spectral
portrait of large matrices by Davidson
type methods . . . . . . . . . . . . . . 55--75
Gérard Meurant The computation of bounds for the norm
of the error in the conjugate gradient
algorithm . . . . . . . . . . . . . . . 77--87
M. Mitrouli and
C. Koukouvinos On the computation of the Smith normal
form of compound matrices . . . . . . . 95--105
W. H. Enright and
Min Hu Improving performance when solving
high-order and mixed-order boundary
value problems in ODEs . . . . . . . . . 107--116
Relja Vulanovi\'c Fourth order algorithms for a semilinear
singular perturbation problem . . . . . 117--128
Qiming He and
Lishan Kang and
D. J. Evans Convergence and stability of the finite
difference scheme for nonlinear
parabolic systems with time delay . . . 129--153
Tim Gutzmer and
Armin Iske Detection of discontinuities in
scattered data approximation . . . . . . 155--170
Yves Lucet Faster than the fast Legendre transform,
the linear-time Legendre transform . . . 171--185
Luc Rebillard Rational approximation in the complex
plane using a $\tau$-method and computer
algebra . . . . . . . . . . . . . . . . 187--208
J. C. Butcher and
P. Chartier and
Z. Jackiewicz Nordsieck representation of DIMSIMs . . 209--230
Kai Diethelm and
Guido Walz Numerical solution of fractional order
differential equations by extrapolation 231--253
Rosemary Renaut and
Yi Su Evaluation of Chebyshev pseudospectral
methods for third order differential
equations . . . . . . . . . . . . . . . 255--281
Milvia Rossini Irregularity detection from noisy data
in one and two dimensions . . . . . . . 283--301
Sven Ehrich Sard-optimal prefilters for the fast
wavelet transform . . . . . . . . . . . 303--319
P. Verlinden and
D. M. Potts and
J. N. Lyness Error expansions for multidimensional
trapezoidal rules with Sidi
transformations . . . . . . . . . . . . 321--347
W. H. Enright and
H. Hayashi A delay differential equation solver
based on a continuous Runge--Kutta
method with defect control . . . . . . . 349--364
Xiu Ye and
Charles A. Hall A discrete divergence-free basis for
finite element methods . . . . . . . . . 365--380
Claude Brezinski Book reviews . . . . . . . . . . . . . . 381--382
Jean Piquet and
Xavier Vasseur Multigrid preconditioned Krylov subspace
methods for three-dimensional numerical
solutions of the incompressible
Navier--Stokes equations . . . . . . . . 1--32
D. E. Roberts A vector Chebyshev algorithm . . . . . . 33--50
Tony F. Chan and
Lisette de Pillis and
Henk van der Vorst Transpose-free formulations of
Lanczos-type methods for nonsymmetric
linear systems . . . . . . . . . . . . . 51--66
C. Brezinski and
M. Redivo-Zaglia Transpose-free Lanczos-type algorithms
for nonsymmetric linear systems . . . . 67--103
Faezeh Toutounian The stable $A^{\ssf T}A$-orthogonal
$s$-step ${\rm Orthomin}(k)$ algorithm
with the CADNA library . . . . . . . . . 105--119
J. C. Butcher and
M. T. Diamantakis DESIRE: diagonally extended singly
implicit Runge--Kutta effective order
methods . . . . . . . . . . . . . . . . 121--145
Frauke Sprengel Periodic interpolation and wavelets on
sparse grids . . . . . . . . . . . . . . 147--169
Vu Hoang Linh On some questions arising in numerical
realization of amplitude-phase methods 171--191
J. C. Butcher ARK methods up to order five . . . . . . 193--221
Herbert H. H. Homeier On the stability of the ${\scr J}$
transformation . . . . . . . . . . . . . 223--239
J. W. Schmidt and
M. Bastian-Walther Algorithm for constructing range
restricted histosplines . . . . . . . . 241--260
Vishwani D. Agrawal and
David Lee and
Henryk Wo\'zniakowski Numerical computation of characteristic
polynomials of Boolean functions and its
applications . . . . . . . . . . . . . . 261--278
Christian Rey and
Franck Risler A Rayleigh--Ritz preconditioner for the
iterative solution to large scale
nonlinear problems . . . . . . . . . . . 279--311
Miodrag S. Petkovi\'c and
\Dbaror\dbare Herceg and
Sne\vzana Ili\'c Safe convergence of simultaneous methods
for polynomial zeros . . . . . . . . . . 313--331
N. Mansouri and
J. P. Kernévez Estimation of parameters in nonlinear
problems . . . . . . . . . . . . . . . . 333--343
G. Papageorgiou and
I. Th. Famelis and
Ch. Tsitouras A $P$-stable singly diagonally implicit
Runge--Kutta--Nyström method . . . . . . 345--353
Alexander Tovbis Erratum: ``Homoclinic connections and
numerical integration'' [Numer.
Algorithms \bf 14 (1997), no. 1,
261--267; MR 98c:58153] . . . . . . . . 355--355
Anonymous Book reviews . . . . . . . . . . . . . . 357--358
Herbert H. H. Homeier An asymptotically hierarchy-consistent,
iterative sequence transformation for
convergence acceleration of Fourier
series . . . . . . . . . . . . . . . . . 1--30
Gorik De Samblanx and
Adhemar Bultheel Nested Lanczos: Implicitly restarting an
unsymmetric Lanczos algorithm . . . . . 31--50
Z. Bartoszewski and
Z. Jackiewicz Construction of two-step Runge--Kutta
methods of high order for ordinary
differential equations . . . . . . . . . 51--70
M. O. Bristeau and
J. Erhel Augmented conjugate gradient.
Application in an iterative process for
the solution of scattering problems . . 71--90
Birkett Huber and
Jan Verschelde Polyhedral end games for polynomial
continuation . . . . . . . . . . . . . . 91--108
Anonymous Book reviews . . . . . . . . . . . . . . 109--112
Avram Sidi and
Yair Shapira Upper bounds for convergence rates of
acceleration methods with initial
iterations . . . . . . . . . . . . . . . 113--132
Prabir Daripa and
Daoud Mashat Singular integral transforms and fast
numerical algorithms . . . . . . . . . . 133--157
Prabir Daripa and
Daoud Mashat An efficient and novel numerical method
for quasiconformal mappings of doubly
connected domains . . . . . . . . . . . 159--175
Ubaldo M. García-Palomares and
Francisco J. González-Castaño Incomplete projection algorithms for
solving the convex feasibility problem 177--193
Ilan Bar-On and
Marcin Paprzycki High performance solution of the complex
symmetric eigenproblem . . . . . . . . . 195--208
Thomas Gerstner and
Michael Griebel Numerical integration using sparse grids 209--232
P. J. van der Houwen and
E. Messina Splitting methods for second-order
initial value problems . . . . . . . . . 233--257
Javier Segura A global Newton method for the zeros of
cylinder functions . . . . . . . . . . . 259--276
Azeddine Essai Weighted FOM and GMRES for solving
nonsymmetric linear systems . . . . . . 277--292
K. A. Ariyawansa Local convergence of collinear scaling
algorithms related to direct
least-change secant update methods for
minimization . . . . . . . . . . . . . . 293--320
Magne S. Espedal and
Xue-Cheng Tai and
Ningning Yan A hybrid nonoverlapping domain
decomposition scheme for advection
dominated advection-diffusion problems 321--336
Martin Stynes and
Lutz Tobiska A finite difference analysis of a
streamline diffusion method on a
Shishkin mesh . . . . . . . . . . . . . 337--360
Ilan Bar-On and
Mauro Leoncini Stable solution of tridiagonal systems 361--388
Anonymous Book reviews . . . . . . . . . . . . . . 385--388
Anonymous Preface . . . . . . . . . . . . . . . . 0--0
Christian Alscher and
Wolf-Jürgen Beyn Simulating the motion of the leech: a
biomechanical application of DAEs . . . 1--12
Pierluigi Amodio and
Francesca Mazzia An algorithm for the computation of
consistent initial values for
differential-algebraic equations . . . . 13--23
Martin Arnold and
Ander Murua Non-stiff integrators for
differential-algebraic systems of index
$2$ . . . . . . . . . . . . . . . . . . 25--41
R. E. Beardmore Stability and bifurcation properties of
index-$1$ DAEs . . . . . . . . . . . . . 43--53
Stephen D. Bond and
Benedict J. Leimkuhler Time-transformations for reversible
variable stepsize integration . . . . . 55--71
S. L. Campbell and
R. Hollenbeck and
K. Yeomans and
Y. Zhong Mixed symbolic-numerical computations
with general DAEs. I. System properties 73--83
Stephen L. Campbell and
Wies\law Marszalek Mixed symbolic-numerical computations
with general DAEs. II. An applications
case study . . . . . . . . . . . . . . . 85--94
Astrid Holstad Modelling subsurface coupled chemical
reactions and fluid flow over long time
periods . . . . . . . . . . . . . . . . 95--110
C. P. Jeannerod and
J. Visconti Global error estimation for index-$1$
and -$2$ DAEs . . . . . . . . . . . . . 111--125
G. Le Vey Some remarks on solvability and various
indices for implicit differential
equations . . . . . . . . . . . . . . . 127--145
Y. O. Macutan and
G. Thomas Theory of formal integrability and DAEs:
Effective computations . . . . . . . . . 147--157
R. M. M. Mattheij and
P. M. E. J. Wijckmans Sensitivity of solutions of linear DAE
to perturbations of the system matrices 159--171
Christian Penski A numerical scheme for highly
oscillatory DAEs and its application to
circuit simulation . . . . . . . . . . . 173--181
D. Pogorelov Differential-algebraic equations in
multibody system modeling . . . . . . . 183--194
J. D. Pryce Solving high-index DAEs by Taylor series 195--211
Sebastian Reich Modified potential energy functions for
constrained molecular dynamics . . . . . 213--221
Werner M. Seiler Position versus momentum projections for
constrained Hamiltonian systems . . . . 223--234
B. Simeon DAEs and PDEs in elastic multibody
systems . . . . . . . . . . . . . . . . 235--246
Jukka Tuomela On the resolution of singularities of
ordinary differential systems . . . . . 247--259
Anonymous DAE '97 participants . . . . . . . . . . 261--264
Robert Plato The conjugate gradient method for linear
ill-posed problems with operator
perturbations . . . . . . . . . . . . . 1--22
M. Prévost and
D. Vekemans Partial Padé prediction . . . . . . . . . 23--50
Safya Belghith Symbolic and numerical analysis for
studying complex nonlinear behavior . . 51--61
P. Favati and
G. Lotti and
O. Menchi and
F. Romani An infinite precision bracketing
algorithm with guaranteed convergence 63--73
Peter Benner and
Enrique S. Quintana-Ortí Solving stable generalized Lyapunov
equations with the matrix sign function 75--100
Anonymous Book reviews . . . . . . . . . . . . . . 101--105
M. Redivo-Zaglia Preface . . . . . . . . . . . . . . . . 0--0
M. Redivo-Zaglia The software library numeralgo . . . . . 107--116
Jochen Alberty and
Carsten Carstensen and
Stefan A. Funken Remarks around 50 lines of Matlab: short
finite element implementation . . . . . 117--137
Zélia da Rocha Shohat--Favard and Chebyshev's methods
in $d$-orthogonality . . . . . . . . . . 139--164
Ricardo D. Fierro and
Per Christian Hansen and
Peter Sòren Kirk Hansen UTV Tools: Matlab templates for
rank-revealing UTV decompositions . . . 165--194
Per Christian Hansen Regularization Tools Version 3.0 for
Matlab 5.2 . . . . . . . . . . . . . . . 195--196
M. Morandi Cecchi and
S. De Marchi and
D. Fasoli A package for representing C1
interpolating surfaces: Application to
the lagoon of Venice's bed . . . . . . . 197--215
Miloud Sadkane and
Roger B. Sidje Implementation of a variable block
Davidson method with deflation for
solving large sparse eigenproblems . . . 217--240
F. Stenger and
S.-Å. Gustafson and
B. Keyes and
M. O'Reilly and
K. Parker ODE-IVP-PACK via Sinc indefinite
integration and Newton's method . . . . 241--268
J. C. Butcher and
P. Chartier The effective order of singly-implicit
Runge--Kutta methods . . . . . . . . . . 269--284
Nicholas J. Daras Rational approximation to harmonic
functions . . . . . . . . . . . . . . . 285--301
H. Sadok CMRH: a new method for solving
nonsymmetric linear systems based on the
Hessenberg reduction algorithm . . . . . 303--321
Dario Andrea Bini and
Giuseppe Fiorentino On the parallel evaluation of a sparse
polynomial at a point . . . . . . . . . 323--329
Kyle Gallivan and
Paul Van Dooren Rational approximations of pre-filtered
transfer functions via the Lanczos
algorithm . . . . . . . . . . . . . . . 331--342
E. Spedicato and
M. Zhu A generalization of the implicit LU
algorithm to an arbitrary initial matrix 343--351
Alain Piétrus Solving triangular algebraic systems by
means of simultaneous iterations . . . . 353--368
Stefan Paszkowski The Bloch--Grüneisen integrals. Some
analytic expressions . . . . . . . . . . 369--378
Anonymous Book reviews . . . . . . . . . . . . . . 379--382
Anonymous Preface . . . . . . . . . . . . . . . . 0--0
S. Amraoui and
S. Lalaoui Rhali Retarded functional differential
equations with nondense domain operators 1--8
A. Anane and
O. Chakrone and
Z. El Allali First order spectrum for elliptic system
and nonresonance problem . . . . . . . . 9--21
Owe Axelsson Stabilization of algebraic multilevel
iteration methods: additive methods . . 23--47
J. Baranger and
D. Esslaoui and
A. Machmoum Error estimate for convection problem
with characteristics method . . . . . . 49--56
Saâd Benbachir Symbolic research of the periodic
solutions of the nonintegrable
Hamiltonian system of Ollongren . . . . 57--77
A. H. Bentbib Conjugate directions method for solving
interval linear systems . . . . . . . . 79--86
Zsolt Biro and
Maria Vicsek Numerical interface curves for some
nonlinear diffusion equations . . . . . 87--96
C. Brezinski Krylov subspace methods, biorthogonal
polynomials and Padé-type approximants 97--107
D. Calvetti and
L. Reichel A block-Lanczos method for large
continuation problems . . . . . . . . . 109--118
Jen-Yuan Chen and
David R. Kincaid and
David M. Young Generalizations and modifications of the
GMRES iterative method . . . . . . . . . 119--146
Kathy Driver and
Peter Duren Asymptotic zero distribution of
hypergeometric polynomials . . . . . . . 147--156
Ubaldo M. García-Palomares Preconditioning projection methods for
solving algebraic linear systems . . . . 157--164
C. Gáspár Multigrid technique for biharmonic
interpolation with application to dual
and multiple reciprocity method . . . . 165--183
Concepción González-Concepción and
Celina Pestano-Gabino Approximated solutions in rational form
for systems of differential equations 185--203
P. R. Graves-Morris and
A. Salam Avoiding breakdown in Van der Vorst's
method . . . . . . . . . . . . . . . . . 205--223
M. Heyouni Newton Generalized Hessenberg method for
solving nonlinear systems of equations 225--246
M. Jourhmane and
A. Nachaoui An alternating method for an inverse
Cauchy problem . . . . . . . . . . . . . 247--260
C. Le Calvez and
B. Molina Implicitly restarted and deflated GMRES 261--285
Jilali Mikram and
Fouad Zinoun Computation of normal forms of
Hamiltonian systems in the presence of
Poisson commuting integrals . . . . . . 287--310
M. Morandi Cecchi and
F. Marcuzzi An approximate waves-bordering algorithm
for adaptive finite elements analysis 311--322
Abdeljalil Nachaoui Iterative solution of the
drift--diffusion equations . . . . . . . 323--341
Abderrahim Ouazzi A mixed formulation of the Stokes
equation in terms of $(w,p,u)$ . . . . . 343--352
Rosa Maria Spitaleri and
Riccardo March and
Daniele Arena Finite difference solution of Euler
equations arising in variational image
segmentation . . . . . . . . . . . . . . 353--365
Mohamed Wakrim and
Fattehallah Ghadi On some three-field mixed systems . . . 367--375
Jet Wimp Connection coefficients, orthogonal
polynomials and the WZ-algorithms . . . 377--386
Harry Yserentant Coarse grid spaces for domains with a
complicated boundary . . . . . . . . . . 387--392
Anonymous List of participants . . . . . . . . . . 393--396
Bernd Fischer and
Jan Modersitzki Fast inversion of matrices arising in
image processing . . . . . . . . . . . . 1--11
Victor Y. Pan and
Elliot Linzer Bisection acceleration for the symmetric
tridiagonal eigenvalue problem . . . . . 13--39
E. Mainar and
J. M. Peña Error analysis of corner cutting
algorithms . . . . . . . . . . . . . . . 41--52
Damiana Lazzaro Biorthogonal $M$-band filter
construction using the lifting scheme 53--72
C. Clavero and
J. L. Gracia and
F. Lisbona High order methods on Shishkin meshes
for singular perturbation problems of
convection--diffusion type . . . . . . . 73--97
Mehiddin Al-Baali Improved Hessian approximations for the
limited memory BFGS method . . . . . . . 99--112
C. G. Broyden and
P. Foschi Duality in conjugate gradient methods 113--128
V. Sirotkin and
P. Tarvainen Parallel two-level Schwarz methods for
singularly perturbed elliptic problems 129--156
Alan M. Cohen and
David Levin Accelerating infinite products . . . . . 157--165
Chang-New Chen Generalization of differential
quadrature discretization . . . . . . . 167--182
Pierre Verlinden Stable rational modification of a weight 183--192
L. Smoch Some results about GMRES in the singular
case . . . . . . . . . . . . . . . . . . 193--212
Guoting Chen and
Jean Della Dora Normal forms for differentiable maps
near a fixed point . . . . . . . . . . . 213--230
Anonymous Book reviews . . . . . . . . . . . . . . 231--235
J. C. Butcher and
P. Chartier and
Z. Jackiewicz Experiments with a variable-order type
$1$ DIMSIM code . . . . . . . . . . . . 237--261
Carsten R. Maple and
Marco Marletta Solving Hamiltonian systems arising from
ODE eigenproblems . . . . . . . . . . . 263--284
Marie-Laurence Mazure Bernstein bases in Müntz spaces . . . . . 285--304
Manuel A. Gómez An $O(n^2)$ active set algorithm for the
solution of a parametric quadratic
program . . . . . . . . . . . . . . . . 305--316
G. Mühlbach A recurrence relation for generalized
divided differences with respect to
ECT-systems . . . . . . . . . . . . . . 317--326
Ricardo Celorrio and
Francisco-Javier Sayas Full collocation methods for some
boundary integral equations . . . . . . 327--351
Gérard Meurant Numerical experiments in computing
bounds for the norm of the error in the
preconditioned conjugate gradient
algorithm . . . . . . . . . . . . . . . 353--365
C.-S. Chien and
H.-S. Chou and
B.-W. Jeng A continuation--domain decomposition
algorithm for bifurcation problems . . . 367--383
Anonymous Book reviews . . . . . . . . . . . . . . 385--388
Franck Risler and
Christian Rey Iterative accelerating algorithms with
Krylov subspaces for the solution to
large-scale nonlinear problems . . . . . 1--30
Stanis\law Lewanowicz and
Eduardo Godoy and
Iván Area and
André Ronveaux and
Alejandro Zarzo Recurrence relations for the
coefficients of the Fourier series
expansions with respect to $q$-classical
orthogonal polynomials . . . . . . . . . 31--50
Mardochée Magolu monga Made and
Ben Polman Experimental comparison of
three-dimensional point and line
modified incomplete factorizations . . . 51--70
Leonardo Borges and
Prabir Daripa A parallel version of a fast algorithm
for singular integral transforms . . . . 71--96
M. Calvo and
S. González-Pinto and
J. I. Montijano On the iterative solution of the
algebraic equations in fully implicit
Runge--Kutta methods . . . . . . . . . . 97--113
M. G. de Bruin and
H. P. Dikshit and
A. Sharma Birkhoff interpolation on unity and on
Möbius transform of the roots of unity 115--125
Dario Andrea Bini and
Giuseppe Fiorentino Design, analysis, and implementation of
a multiprecision polynomial rootfinder 127--173
Francesc Ar\`andiga and
Rosa Donat Nonlinear multiscale decompositions: the
approach of A. Harten . . . . . . . . . 175--216
M. I. Karavelas and
P. D. Kaklis Spatial shape-preserving interpolation
using $\nu$-splines . . . . . . . . . . 217--250
Marek A. Kowalski Sensitivity of best recovery in the
Sobolev spaces $W^{r,d}_\infty$,
$\widetilde{W}^{r,d}_\infty$ for
perturbed sampling . . . . . . . . . . . 251--261
Dominique Apprato and
Christian Gout A result about scale transformation
families in approximation: application
to surface fitting from rapidly varying
data . . . . . . . . . . . . . . . . . . 263--279
Claude Brezinski Book reviews . . . . . . . . . . . . . . 281--284
Charles K. Chui and
Ming-Jun Lai and
Jian-ao Lian Algorithms for $G^1$ connection of
multiple parametric bicubic NURBS
surfaces . . . . . . . . . . . . . . . . 285--313
Jean-Paul Berrut and
Hans D. Mittelmann Rational interpolation through the
optimal attachment of poles to the
interpolating polynomial . . . . . . . . 315--328
S. Bacchelli and
M. Cotronei and
D. Lazzaro An algebraic construction of
$k$-balanced multiwavelets via the
lifting scheme . . . . . . . . . . . . . 329--356
Immaculada Higueras and
Teo Roldán Starting algorithms for some DIRK
methods . . . . . . . . . . . . . . . . 357--369
Philippe Lemmerling and
Nicola Mastronardi and
Sabine Van Huffel Fast algorithm for solving the
Hankel/Toeplitz Structured Total Least
Squares problem . . . . . . . . . . . . 371--392
Lei Han and
G. W. Wasilkowski A new optimal algorithm for weighted
approximation and integration over ${\bf
R}$ . . . . . . . . . . . . . . . . . . 393--406
Anonymous Book reviews . . . . . . . . . . . . . . 407--408
Brahim Benouahmane and
Annie Cuyt Multivariate orthogonal polynomials,
homogeneous Padé approximants and
Gaussian cubature . . . . . . . . . . . 1--15
Jean-Paul Berrut A matrix for determining lower
complexity barycentric representations
of rational interpolants . . . . . . . . 17--29
André Draux Improvement of the formal and numerical
estimation of the constant in some
Markov--Bernstein inequalities . . . . . 31--58
Bahman Kalantari New formulas for approximation of $\pi$
and other transcendental numbers . . . . 59--81
Ekatharine A. Karatsuba On the computation of the Euler constant
$\gamma$ . . . . . . . . . . . . . . . . 83--97
Peter Kravanja and
Marc Van Barel Coupled Vandermonde matrices and the
superfast computation of Toeplitz
determinants . . . . . . . . . . . . . . 99--116
Alphonse P. Magnus and
Jean Meinguet The elliptic functions and integrals of
the ``$1/9$'' problem . . . . . . . . . 117--139
Jieqing Tan and
Yi Fang Newton--Thiele's rational interpolants 141--157
J. A. C. Weideman and
D. P. Laurie Quadrature rules based on partial
fraction expansions . . . . . . . . . . 159--178
Jet Wimp Hankel determinants of some polynomials
arising in combinatorial analysis . . . 179--193
Bo Kågström and
Petter Wiberg Extracting partial canonical structure
for large scale eigenvalue problems . . 195--237
Robert Schaback and
Holger Wendland Adaptive greedy techniques for
approximate solution of large RBF
systems . . . . . . . . . . . . . . . . 239--254
P. Favati and
G. Lotti and
O. Menchi and
F. Romani Separable asymptotic cost of evaluating
elementary functions . . . . . . . . . . 255--274
Knut-Andreas Lie Front tracking for one-dimensional
quasilinear hyperbolic equations with
variable coefficients . . . . . . . . . 275--298
Jürgen Müller Series expansions for computing Bessel
functions of variable order on bounded
intervals . . . . . . . . . . . . . . . 299--308
P. Chartier and
B. Philippe Preface . . . . . . . . . . . . . . . . 0--0
G. Carré and
S. Lanteri Parallel linear multigrid by
agglomeration for the acceleration of
$3$D compressible flow calculations on
unstructured meshes . . . . . . . . . . 309--332
Jean Piquet and
Xavier Vasseur A nonstandard multigrid method with
flexible multiple semicoarsening for the
numerical solution of the pressure
equation in a Navier--Stokes solver . . 333--355
Pascal Joly and
Roland Masson Wavelet preconditioning of the Stokes
problem in $\psi$-$\omega$ formulation 357--369
David Goudin and
Pascal Hénon and
François Pellegrini and
Pierre Ramet and
Jean Roman and
Jean-Jacques Pesqué Parallel sparse linear algebra and
application to structural mechanics . . 371--391
Olivier Coulaud and
Pierre-Eric Bernard Parallel constrained molecular dynamics 393--405
Anonymous Publisher's Announcement . . . . . . . . 1--1
Owe Axelsson and
Igor Kaporin On the sublinear and superlinear rate of
convergence of conjugate gradient
methods . . . . . . . . . . . . . . . . 1--22
Anonymous Preface . . . . . . . . . . . . . . . . 11--14
Anonymous Reminiscences of Richard S. Varga . . . 15--16
J. Baglama Dealing with linear dependence during
the iterations of the restarted block
Lanczos methods . . . . . . . . . . . . 23--36
Adi Ben-Israel A local inverse for nonlinear mappings 37--46
M. A. Bokhari and
H. P. Dikshit and
A. Sharma Birkhoff interpolation on some perturbed
roots of unity: revisited . . . . . . . 47--62
C. Brezinski Acceleration procedures for matrix
iterative methods . . . . . . . . . . . 63--73
D. Calvetti and
S. Morigi and
L. Reichel and
F. Sgallari Computable error bounds and estimates
for the conjugate gradient method . . . 75--88
D. Calvetti and
S. Morigi and
L. Reichel and
F. Sgallari An $L$-ribbon for large underdetermined
linear discrete ill-posed problems . . . 89--107
George Csordas and
Dimitar K. Dimitrov Conjectures and theorems in the theory
of entire functions . . . . . . . . . . 109--122
Marcel G. de Bruin and
A. Sharma Birkhoff interpolation on non-uniformly
distributed roots of unity . . . . . . . 123--138
Vladimir Druskin and
Leonid Knizhnerman Gaussian spectral rules for second order
finite-difference schemes . . . . . . . 139--159
Oliver G. Ernst Equivalent iterative methods for
$p$-cyclic matrices . . . . . . . . . . 161--180
Gregory E. Fasshauer and
Eugene C. Gartland, Jr. and
Joseph W. Jerome Newton iteration for partial
differential equations and the
approximation of the identity . . . . . 181--195
Harald Frankenberger and
Martin Hanke Kernel polynomials for the solution of
indefinite and ill-posed problems . . . 197--212
Walter Gautschi High-order Gauss--Lobatto formulae . . . 213--222
Gene H. Golub and
Denis Vanderstraeten On the preconditioning of matrices with
skew-symmetric splittings . . . . . . . 223--239
Xin Li and
Charles A. Micchelli Approximation by radial bases and neural
networks . . . . . . . . . . . . . . . . 241--262
Wilhelm Niethammer Old and new from SOR . . . . . . . . . . 263--277
Timothy S. Norfolk Asymptotics of the partial sums of a set
of integral transforms . . . . . . . . . 279--291
A. M. Odlyzko An improved bound for the de
Bruijn--Newman constant . . . . . . . . 293--303
V. A. Prokhorov and
E. B. Saff On meromorphic approximation . . . . . . 305--321
Stefano Serra-Capizzano and
Cristina Tablino-Possio Constructive techniques for
approximating collocation linear systems 323--339
Boris Shekhtman On the density principle for rational
functions . . . . . . . . . . . . . . . 341--346
Daniel B. Szyld and
Jian-Jun Xu Convergence of some asynchronous
nonlinear multisplitting methods . . . . 347--361
Richard S. Varga and
Amos J. Carpenter Zeros of the partial sums of $\cos(z)$
and $\sin(z)$. I . . . . . . . . . . . . 363--375
Heinrich Voss A symmetry exploiting Lanczos method for
symmetric Toeplitz matrices . . . . . . 377--385
Weichung Wang and
Dianne P. O'Leary Adaptive use of iterative methods in
predictor--corrector interior point
methods for linear programming . . . . . 387--406
K. A. Driver and
A. D. Love Products of hypergeometric functions and
the zeros of ${}_4F_3$ polynomials . . . 1--9
Plamen Y. Yalamov Improvement of some bounds on the
stability of fast Helmholtz solvers . . 11--20
A. Mazroui and
D. Sbibih Existence and construction of
$\Delta_1$-splines of class $C^k$ on a
three-directional mesh . . . . . . . . . 21--48
Diana Estévez Schwarz and
René Lamour The computation of consistent initial
values for nonlinear index-$2$
differential-algebraic equations . . . . 49--75
Tobin A. Driscoll and
Bengt Fornberg A Padé-based algorithm for overcoming the
Gibbs phenomenon . . . . . . . . . . . . 77--92
Knut Petras Fast calculation of coefficients in the
Smolyak algorithm . . . . . . . . . . . 93--109
Frauke Sprengel Multilevel algorithms for finite
difference discretizations on sparse
grids . . . . . . . . . . . . . . . . . 111--121
W. M. Wright The construction of order $4$ DIMSIMs
for ordinary differential equations . . 123--130
J. C. Butcher and
T. M. H. Chan Variable stepsize schemes for effective
order methods and enhanced order
composition methods . . . . . . . . . . 131--150
Christer Glader A method for rational Chebyshev
approximation of rational functions on
the unit disk and on the unit interval 151--165
Judith Ford and
Ke Chen An algorithm for accelerated computation
of DWTPer-based band preconditioners . . 167--172
Giovanni Monegato An overview of the computational aspects
of Kronrod quadrature rules . . . . . . 173--196
Anonymous Book reviews . . . . . . . . . . . . . . 197--200
J. C. Butcher and
D. J. L. Chen On the implementation of ESIRK methods
for stiff IVPs . . . . . . . . . . . . . 201--218
S. Börm and
R. Hiptmair Analysis of tensor product multigrid . . 219--234
S. Akesbi and
E. Maitre Minimal residual method applied to the
transport equation . . . . . . . . . . . 235--249
Paul E. Saylor and
Dennis C. Smolarski Why Gaussian quadrature in the complex
plane? . . . . . . . . . . . . . . . . . 251--280
Anja Fröhner and
Torsten Linß and
Hans-Görg Roos Defect correction on Shishkin-type
meshes . . . . . . . . . . . . . . . . . 281--299
Anonymous Book reviews . . . . . . . . . . . . . . 301--303
Valérie Pham-Trong and
Nicolas Szafran and
Luc Biard Pseudo-geodesics on three-dimensional
surfaces and pseudo-geodesic meshes . . 305--315
M. Heyouni The global Hessenberg and CMRH methods
for linear systems with multiple
right-hand sides . . . . . . . . . . . . 317--332
Neville J. Ford and
A. Charles Simpson The numerical solution of fractional
differential equations: Speed versus
accuracy . . . . . . . . . . . . . . . . 333--346
J. M. Franco and
I. Gómez and
L. Rández Four-stage symplectic and P-stable
SDIRKN methods with dispersion of high
order . . . . . . . . . . . . . . . . . 347--363
Fu-Rong Lin Preconditioners for block Toeplitz
systems based on circulant
preconditioners . . . . . . . . . . . . 365--379
Anonymous Book reviews . . . . . . . . . . . . . . 381--384
Anonymous Author index . . . . . . . . . . . . . . 385--386
Guoting Chen Further Reduction of Normal Forms for
Vector Fields . . . . . . . . . . . . . 1--33
Rida T. Farouki and
Bethany K. Kuspa and
Carla Manni and
Alessandra Sestini Efficient Solution of the Complex
Quadratic Tridiagonal System for C2 PH
Quintic Splines . . . . . . . . . . . . 35--60
E. X. L. de Andrade and
C. F. Bracciali and
A. Sri Ranga Gaussian Quadrature Rules with Simple
Node-Weight Relations . . . . . . . . . 61--76
Alvise Sommariva and
Marco Vianello and
Renato Zanovello Fast Summation of Power Series with
Coefficients Analytic at Infinity . . . 77--87
Philippe Lemmerling and
Sabine Van Huffel Analysis of the Structured Total Least
Squares Problem for Hankel/Toeplitz
Matrices . . . . . . . . . . . . . . . . 89--114
Anonymous Book Reviews . . . . . . . . . . . . . . 115--117
F. Costabile and
A. Napoli A Method for Global Approximation of the
Initial Value Problem . . . . . . . . . 119--130
P. Oswald Remarks on Multilevel Bases for
Divergence-Free Finite Elements . . . . 131--152
Aude Maignan Real Solving of Elementary-Algebraic
Systems . . . . . . . . . . . . . . . . 153--167
Boris I. Kvasov Approximation by Discrete GB-Splines . . 169--188
Martin H. Gutknecht and
Miroslav Rozlo\vzník By How Much Can Residual Minimization
Accelerate the Convergence of Orthogonal
Residual Methods? . . . . . . . . . . . 189--213
Paul E. Saylor and
Dennis C. Smolarski Addendum to: Why Gaussian Quadrature in
the Complex Plane? . . . . . . . . . . . 215--217
Yukitaka Minesaki and
Yoshimasa Nakamura The Discrete Relativistic Toda Molecule
Equation and a Padé Approximation
Algorithm . . . . . . . . . . . . . . . 219--235
Paolo Costantini and
Francesca Pelosi Shape-Preserving Approximation by Space
Curves . . . . . . . . . . . . . . . . . 237--264
Christian Zillober Global Convergence of a Nonlinear
Programming Method Using Convex
Approximations . . . . . . . . . . . . . 265--289
Angela Kunoth Wavelet Techniques for the
Fictitious-Domain-Lagrange-Multiplier-Approach 291--316
Gunar Matthies Mapped Finite Elements on Hexahedra.
Necessary and Sufficient Conditions for
Optimal Interpolation Errors . . . . . . 317--327
O. Nouisser and
D. Sbibih Existence and Construction of Simple
B-Splines of Class $C^k$ on a
Four-Directional Mesh of the Plane . . . 329--358
Manuel Calvo and
Jesús Vigo-Aguiar A Note on the Step Size Selection in
Adams Multistep Methods . . . . . . . . 359--366
Manuel A. Gómez An $O(n^2)$ Active Set Algorithm for
Solving Two Related Box Constrained
Parametric Quadratic Programs . . . . . 367--375
Yu-Hong Dai and
Hongchao Zhang Adaptive Two-Point Stepsize Gradient
Algorithm . . . . . . . . . . . . . . . 377--385
Anonymous Book Reviews . . . . . . . . . . . . . . 387--390
Anonymous Author Index . . . . . . . . . . . . . . 391--392
Anonymous Preface . . . . . . . . . . . . . . . . 1--2
F. Calio' and
E. Marchetti On an Algorithm for the Solution of
Generalized Prandtl Equations . . . . . 3--10
M. R. Capobianco and
G. Criscuolo and
R. Giova A Stable and Convergent Algorithm to
Evaluate Hilbert Transform . . . . . . . 11--26
M. Carletti Numerical Determination of the
Instability Region for a Delay Model of
Phage--Bacteria Interaction . . . . . . 27--44
C. Conti and
R. Morandi and
C. Rabut and
A. Sestini Cubic Spline Data Reduction Choosing the
Knots from a Third Derivative Criterion 45--61
F. Costabile and
F. Dell'Accio Expansions over a Simplex of Real
Functions by Means of Bernoulli
Polynomials . . . . . . . . . . . . . . 63--86
F. Costabile and
M. I. Gualtieri and
R. Luceri A New Iterative Method for the
Computation of the Solutions of
Nonlinear Equations . . . . . . . . . . 87--100
Stefano De Marchi and
Marco Vianello Approximating the Approximant: a
Numerical Code for Polynomial
Compression of Discrete Integral
Operators . . . . . . . . . . . . . . . 101--116
Gianna M. Del Corso and
Francesco Romani Heuristic Spectral Techniques for the
Reduction of Bandwidth and Work-Bound of
Sparse Matrices . . . . . . . . . . . . 117--136
Luca Dieci and
Alessandra Papini Conditioning of the Exponential of a
Block Triangular Matrix . . . . . . . . 137--150
Daniele Funaro A Superconsistent Chebyshev Collocation
Method for Second-Order Differential
Operators . . . . . . . . . . . . . . . 151--157
Bruno Gabutti and
Luigi Gatteschi New Asymptotics for the Zeros of
Whittaker's Functions . . . . . . . . . 159--170
Maria Grazia Gasparo and
Alessandra Papini and
Aldo Pasquali Nonmonotone Algorithms for Pattern
Search Methods . . . . . . . . . . . . . 171--186
Laura Gori and
Francesca Pitolli and
Laura Pezza On the Galerkin Method Based on a
Particular Class of Scaling Functions 187--198
Laura Gori and
Francesca Pitolli and
Elisabetta Santi Positive Refinable Operators . . . . . . 199--213
Tiziana Isoni and
Pierpaolo Natalini and
Paolo E. Ricci Symbolic Computation of Newton Sum Rules
for the Zeros of Polynomial
Eigenfunctions of Linear Differential
Operators . . . . . . . . . . . . . . . 215--227
P. Lamberti and
C. Manni Shape-Preserving $C^2$ Functional
Interpolation via Parametric Cubics . . 229--254
Anna Molinaro and
Yaroslav D. Sergeyev Finding the Minimal Root of an Equation
with the Multiextremal and
Nondifferentiable Left-Hand Part . . . . 255--272
Giovanna Pittaluga and
Laura Sacripante A Numerical Algorithm for Cubature by
Bivariate Splines on Nonuniform
Partitions . . . . . . . . . . . . . . . 273--284
Maria Cristina Recchioni Quadratically Convergent Method for
Simultaneously Approaching the Roots of
Polynomial Solutions of a Class of
Differential Equations: Application to
Orthogonal Polynomials . . . . . . . . . 285--308
Stefano Serra Capizzano and
Cristina Tablino Possio Finite Element Matrix Sequences: the
Case of Rectangular Domains . . . . . . 309--327
Irfan Altas and
Jocelyne Erhel and
Murli M. Gupta High Accuracy Solution of
Three-Dimensional Biharmonic Equations 1--19
C. Brezinski Block Descent Methods and Hybrid
Procedures for Linear Systems . . . . . 21--32
C. Brezinski and
M. Redivo Zaglia Block Projection Methods for Linear
Systems . . . . . . . . . . . . . . . . 33--43
D. Calvetti and
L. Reichel Lanczos-Based Exponential Filtering for
Discrete Ill-Posed Problems . . . . . . 45--65
André Draux Formal Orthogonal Polynomials and
Newton--Padé Approximants . . . . . . . . 67--74
A. El Guennouni and
K. Jbilou and
A. J. Riquet Block Krylov Subspace Methods for
Solving Large Sylvester Equations . . . 75--96
P. R. Graves-Morris The Breakdowns of BiCGStab . . . . . . . 97--105
Gérard Meurant A Multilevel AINV Preconditioner . . . . 107--129
Dany Mezher and
Bernard Philippe PAT --- a Reliable Path-Following
Algorithm . . . . . . . . . . . . . . . 131--152
J. C. Miellou and
P. Spiteri Optimization of the Relaxation Parameter
for S.S.O.R. and A.D.I. Preconditioning 153--195
Brígida Molina and
Marcos Raydan Spectral Variants of Krylov Subspace
Methods . . . . . . . . . . . . . . . . 197--208
D. E. Roberts The Vector Epsilon Algorithm --- a
Residual Approach . . . . . . . . . . . 209--227
A. Salam and
P. R. Graves-Morris On the Vector $\varepsilon$-Algorithm
for Solving Linear Systems of Equations 229--247
P. Spiteri and
J. C. Miellou and
J. M. Bahi Evaluations of Parameters for the
Optimization of S.S.O.R. and A.D.I.
Preconditioning . . . . . . . . . . . . 249--265
Jeannette Van Iseghem Vector-Orthogonality and Lanczos-Type
Methods . . . . . . . . . . . . . . . . 267--279
Anonymous Preface . . . . . . . . . . . . . . . . 281--281
Yann-Hervé De Roeck Sparse Linear Algebra and Geophysical
Migration: a Review of Direct and
Iterative Methods . . . . . . . . . . . 283--322
Per Christian Hansen Deconvolution and Regularization with
Toeplitz Matrices . . . . . . . . . . . 323--378
Anonymous Author Index . . . . . . . . . . . . . . 379--380
S. J. Hales and
J. Levesley Error Estimates for Multilevel
Approximation Using Polyharmonic Splines 1--10
Amparo Gil and
Javier Segura and
Nico M. Temme Computing Complex Airy Functions by
Numerical Quadrature . . . . . . . . . . 11--23
Barbara Zubik-Kowal and
Penny J. Davies Numerical Approximation of Time Domain
Electromagnetic Scattering from a Thin
Wire . . . . . . . . . . . . . . . . . . 25--36
Bernd Fischer and
Woula Themistoclakis Orthogonal Polynomial Wavelets . . . . . 37--58
S. H. Lui On Schwarz Alternating Methods for the
Subsonic Full Potential Equation . . . . 59--69
Mickaël Robbé and
Miloud Sadkane A Convergence Analysis of GMRES and FOM
Methods for Sylvester Equations . . . . 71--89
Anonymous Book Reviews . . . . . . . . . . . . . . 91--92
Gene H. Golub and
Chen Greif and
James M. Varah Block Orderings for Tensor-Product Grids
in Two and Three Dimensions . . . . . . 93--111
Andreas Griewank and
Christ\`ele Faure Reduced Functions, Gradients and
Hessians from Fixed-Point Iterations for
State Equations . . . . . . . . . . . . 113--139
Marie-Laurence Mazure Blossoming: from Polynomials to Power
Series . . . . . . . . . . . . . . . . . 141--155
L. Amodei Orthogonal Decompositions in Hilbertian
Subspaces, Error Functions and Optimal
Extensions of Interpolation Systems . . 157--184
Hans Strauss Approximation with Constraints by
Conditionally Positive Definite
Functions . . . . . . . . . . . . . . . 185--198
Lori Badea and
Prabir Daripa A Fast Algorithm for Two-Dimensional
Elliptic Problems . . . . . . . . . . . 199--239
F. Luengo and
M. Raydan and
W. Glunt and
T. L. Hayden Preconditioned Spectral Gradient Method 241--258
E. Tijskens and
D. Roose and
H. Ramon and
J. De Baerdemaeker Automatic Differentiation for Solving
Nonlinear Partial Differential
Equations: An Efficient Operator
Overloading Approach . . . . . . . . . . 259--301
Andreas Stathopoulos and
Shang-Hua Teng Recovering Mesh Geometry from a
Stiffness Matrix . . . . . . . . . . . . 303--322
K. Driver and
K. Jordaan Zeros of
$_3F_2({\matrix{-n,b,c\d,e}};z)$
Polynomials . . . . . . . . . . . . . . 323--333
Giovanni Samaey and
Koen Engelborghs and
Dirk Roose Numerical Computation of Connecting
Orbits in Delay Differential Equations 335--352
Anonymous Author Index . . . . . . . . . . . . . . 353--354
J. C. Butcher Preface . . . . . . . . . . . . . . . . 1--3
Winfried Auzinger and
Othmar Koch and
Ewa Weinmüller Efficient Collocation Schemes for
Singular Boundary Value Problems . . . . 5--25
Igor P. Boglaev The Solution of a Singularly Perturbed
Convection--Diffusion Problem by an
Iterative Domain Decomposition Method 27--46
J. C. Butcher The $A$-Stability of Methods with Padé
and Generalized Padé Stability Functions 47--58
J. C. Butcher and
A. D. Heard Stability of Numerical Methods for
Ordinary Differential Equations . . . . 59--73
J. C. Butcher and
Z. Jackiewicz Error Estimation for Nordsieck Methods 75--85
J. C. Butcher and
A. E. O'Sullivan Nordsieck Methods with an Off-Step Point 87--101
D. J. L. Chen Variable-Order ESIRK Methods for Stiff
Differential Equations . . . . . . . . . 103--114
Robert M. Corless A New View of the Computational
Complexity of IVP for ODE . . . . . . . 115--124
W. H. Enright The Design and Implementation of Usable
ODE Software . . . . . . . . . . . . . . 125--137
Felice Iavernaro and
Francesca Mazzia Generalization of Backward
Differentiation Formulas for Parallel
Computers . . . . . . . . . . . . . . . 139--155
Felice Iavernaro and
Francesca Mazzia and
Donato Trigiante Eigenvalues and Quasi-Eigenvalues of
Banded Toeplitz Matrices: Some
Properties and Applications . . . . . . 157--170
Laurent O. Jay Iterative Solution of SPARK Methods
Applied to DAEs . . . . . . . . . . . . 171--191
Minnie Kerr and
Kevin Burrage New Multivalue Methods for Differential
Algebraic Equations . . . . . . . . . . 193--213
T. Macdougall and
J. H. Verner Global Error Estimators for Order $7$,
$8$ Runge--Kutta Pairs . . . . . . . . . 215--231
Robert I. McLachlan Families of High-Order Composition
Methods . . . . . . . . . . . . . . . . 233--246
Michelle Schatzman Numerical Integration of
Reaction--Diffusion Systems . . . . . . 247--269
P. W. Sharp Requirements of a Package for $N$-Body
Simulations of the Solar System . . . . 271--279
Gustaf Söderlind Automatic Control and Adaptive
Time-Stepping . . . . . . . . . . . . . 281--310
R. Tirani A Parallel Algorithm for the Estimation
of the Global Error in Runge--Kutta
Methods . . . . . . . . . . . . . . . . 311--318
Igor Tsukerman Finite Element Differential--Algebraic
Systems for Eddy Current Problems . . . 319--335
P. J. van der Houwen and
B. P. Sommeijer Approximate Factorization in Shallow
Water Applications . . . . . . . . . . . 337--360
Jan van Lent and
Stefan Vandewalle Multigrid Waveform Relaxation for
Anisotropic Partial Differential
Equations . . . . . . . . . . . . . . . 361--380
W. M. Wright Explicit General Linear Methods with
Inherent Runge--Kutta Stability . . . . 381--399
J. C. Butcher Software Issues for Ordinary
Differential Equations . . . . . . . . . 401--418
E. H. Kaufman, Jr. and
D. J. Leeming and
G. D. Taylor Adaptive Monotone Rational Approximation
on Finite Sets . . . . . . . . . . . . . 1--12
Y. C. Hon and
R. Schaback and
X. Zhou An Adaptive Greedy Algorithm for Solving
Large RBF Collocation Problems . . . . . 13--25
S. Gugercin and
D. C. Sorensen and
A. C. Antoulas A Modified Low-Rank Smith Method for
Large-Scale Lyapunov Equations . . . . . 27--55
Suliman Al-Homidan Hybrid Methods for Approximating Hankel
Matrix . . . . . . . . . . . . . . . . . 57--66
Michael Hanke and
René Lamour Consistent Initialization for Nonlinear
Index-2 Differential--Algebraic
Equation: Large Sparse Systems in MATLAB 67--85
Michael S. Floater Analysis of Curve Reconstruction by
Meshless Parameterization . . . . . . . 87--98
Claude Brezinski Book Reviews . . . . . . . . . . . . . . 99--103
Andrzej Kie\lbasi\'nski and
Krystyna Zi\ketak Numerical Behaviour of Higham's Scaled
Method for Polar Decomposition . . . . . 105--140
Mathias Brieu and
Jocelyne Erhel On the Convergence of a Non-incremental
Homogenization Method for Nonlinear
Elastic Composite Materials . . . . . . 141--161
Elena Celledoni and
Brynjulf Owren On the Implementation of Lie Group
Methods on the Stiefel Manifold . . . . 163--183
B. Achchab and
S. Achchab and
O. Axelsson and
A. Souissi Upper Bound of the Constant in
Strengthened C.B.S. Inequality for
Systems of Linear Partial Differential
Equations . . . . . . . . . . . . . . . 185--191
Stefan Paszkowski Convergence Acceleration of Some
Continued Fractions . . . . . . . . . . 193--247
Ernesto G. Birgin and
Nata\vsa Kreji\'c and
José Mario Martínez Globally Convergent Inexact Quasi-Newton
Methods for Solving Nonlinear Systems 249--260
Lori Badea and
Prabir Daripa On a Fourier Method of Embedding Domains
Using an Optimal Distributed Control . . 261--273
Kamal Shanazari and
Ke Chen A Minimal Distance Constrained Adaptive
Mesh Algorithm with Application to the
Dual Reciprocity Method . . . . . . . . 275--286
David A. Huckaby and
Tony F. Chan On the Convergence of Stewart's QLP
Algorithm for Approximating the SVD . . 287--316
J. M. Franco and
I. Gómez Fourth-Order Symmetric DIRK Methods for
Periodic Stiff Problems . . . . . . . . 317--336
Anonymous Preface . . . . . . . . . . . . . . . . 1--2
Claude Brezinski A Tribute . . . . . . . . . . . . . . . 3--9
J. Abouir and
A. Cuyt and
R. Orive Multivariate Two-Point Padé-Type and
Two-Point Padé Approximants . . . . . . . 11--26
Winfried Auzinger and
Günter Kneisl and
Othmar Koch and
Ewa Weinmüller A Collocation Code for Singular Boundary
Value Problems in Ordinary Differential
Equations . . . . . . . . . . . . . . . 27--39
Silvia Bacchelli and
Serena Papi Matrix Thresholding for Multiwavelet
Image Denoising . . . . . . . . . . . . 41--52
Richard Baltensperger and
Jean-Paul Berrut and
Yves Dubey The Linear Rational Pseudospectral
Method with Preassigned Poles . . . . . 53--63
Mohammed Bellalij Analysis of Henrici's Transformation for
Singular Problems . . . . . . . . . . . 65--82
Laura Beutel and
Heinz H. Gonska Quantitative Inheritance Properties for
Simultaneous Approximation by Tensor
Product Operators . . . . . . . . . . . 83--92
D. A. Bini and
G. Codevico and
M. Van Barel Solving Toeplitz Least Squares Problems
by Means of Newton's Iteration . . . . . 93--103
A. Böttcher and
S. M. Grudsky Asymptotic Spectra of Dense Toeplitz
Matrices Are Unstable . . . . . . . . . 105--112
Gregory Boutry Anti-Gaussian Padé Approximants . . . . . 113--122
C. Brezinski A Classification of Quasi-Newton Methods 123--135
John C. Butcher and
Nicolette Moir Experiments with a New Fifth Order
Method . . . . . . . . . . . . . . . . . 137--151
Daniela Calvetti and
Lothar Reichel On the Evaluation of Polynomial
Coefficients . . . . . . . . . . . . . . 153--161
M. Calvo and
J. I. Montijano and
L. Rández On the Solution of Discontinuous IVPs by
Adaptive Runge--Kutta Codes . . . . . . 163--182
J. M. Carnicer and
M. Gasca Asymptotic Conditions for Degree
Diminution Along Prescribed Lines . . . 183--192
Michel Crouzeix Contractivity and Analyticity in $l^p$
of Some Approximation of the Heat
Equation . . . . . . . . . . . . . . . . 193--201
Jean Della Dora and
Mihaela Mirica-Ruse and
Evelyne Tournier Hybrid Systems and Hybrid Computation
1st Part: Hybrid Systems . . . . . . . . 203--213
F. Dubeau and
A. Ouansafi and
A. Sakat Galerkin Methods for Nonlinear Ordinary
Differential Equation with Impulses . . 215--225
Yves Dumont Some Remarks on a Vibro-Impact Scheme 227--240
M. El Alaoui Talibi and
A. El Kacimi Numerical Simulation of the
Two-Hydrodynamic Film Thickness . . . . 241--250
L. Emmel and
S. M. Kaber and
Y. Maday Padé--Jacobi Filtering for Spectral
Approximations of Discontinuous
Solutions . . . . . . . . . . . . . . . 251--264
Amparo Gil and
Javier Segura and
Nico M. Temme Computing Special Functions by Using
Quadrature Rules . . . . . . . . . . . . 265--275
Concepción González-Concepción and
María Candelaria Gil-Fariña Padé Approximation in Economics . . . . . 277--292
P. R. Graves-Morris VPAStab: Stabilised Vector-Padé
Approximation with Application to Linear
Systems . . . . . . . . . . . . . . . . 293--304
Georg Heinig and
Karla Rost Fast Algorithms for Centro-Symmetric and
Centro-Skewsymmetric
Toeplitz-Plus-Hankel Matrices . . . . . 305--317
Ale\vs Janka A Flux Correction Multigrid for
Compressible Flow . . . . . . . . . . . 319--330
A. Kouibia and
M. Pasadas and
J. J. Torrens Construction of Surfaces with
Parallelism Conditions . . . . . . . . . 331--342
P.-F. Lavallée and
M. Sadkane Computation of Pseudospectra by Spectral
Dichotomy Methods in a Parallel
Environment . . . . . . . . . . . . . . 343--355
Elie Leopold Perturbed Recurrence Relations . . . . . 357--366
Leigh Little and
Yousef Saad Block Preconditioners for Saddle Point
Problems . . . . . . . . . . . . . . . . 367--379
Abdeljalil Nachaoui An Improved Implementation of An
Iterative Method in Boundary
Identification Problems . . . . . . . . 381--398
O. Nouisser and
D. Sbibih and
Paul Sablonni\`ere A Family of Spline Quasi-Interpolants on
the Sphere . . . . . . . . . . . . . . . 399--413
W. Ple\'sniak Volume of Polynomial Lemniscates in
C$^n$ . . . . . . . . . . . . . . . . . 415--420
Marc Prévost and
Denis Vekemans Approximation and Prediction of the
Numerical Solution of Some Burgers
Problems . . . . . . . . . . . . . . . . 421--431
G. Rodriguez and
S. Seatzu and
D. Theis A New Technique for Ill-Conditioned
Linear Systems . . . . . . . . . . . . . 433--442
Paul Sablonni\`ere An Algorithm for the Computation of
Hermite--Padé Approximations to the
Exponential Function: Divided
Differences and Hermite--Padé; Forms . . 443--452
Manuela Sagona and
Alessandra Seghini An a Posteriori Error Estimate for a
Semi-Lagrangian Scheme for
Hamilton--Jacobi Equations . . . . . . . 453--460
Pierre Spiteri and
Jean-Claude Miellou and
Didier El Baz Parallel Asynchronous Schwarz and
Multisplitting Methods for a Nonlinear
Diffusion Problem . . . . . . . . . . . 461--474
Franciszek Hugon Szafraniec Detecting Mass Points of Representing
Measures . . . . . . . . . . . . . . . . 475--483
Jeannette Van Iseghem Vector Stieltjes Continued Fraction and
Vector QD Algorithm . . . . . . . . . . 485--498
Ernst Joachim Weniger A Rational Approximant for the Digamma
Function . . . . . . . . . . . . . . . . 499--507
M. S. Zakynthinaki and
Y. G. Saridakis Stochastic Optimization for Adaptive
Real-Time Wavefront Correction . . . . . 509--520
Miquel Grau An Improvement to the Computing of
Nonlinear Equation Solutions . . . . . . 1--12
Nicholas J. Higham and
Matthew I. Smith Computing the Matrix Cosine . . . . . . 13--26
T. E. Simos and
I. T. Famelis and
C. Tsitouras Zero Dissipative, Explicit Numerov-Type
Methods for Second Order IVPs with
Oscillating Solutions . . . . . . . . . 27--40
T. Luzyanina and
K. Engelborghs and
D. Roose Computing Stability of Differential
Equations with Bounded Distributed
Delays . . . . . . . . . . . . . . . . . 41--66
A. Mazroui and
D. Sbibih and
A. Tijini $C^k$--B-splines with Square Support on
a Three-Direction Mesh of the Plane . . 67--84
Daniela Calvetti and
Lothar Reichel Gauss Quadrature Applied to Trust Region
Computations . . . . . . . . . . . . . . 85--102
Anonymous Book Reviews . . . . . . . . . . . . . . 103--106
Nisrine Achachi and
Françoise Richard-Jung Computer Algebra and Bifurcations . . . 107--115
M. Afif and
B. Amaziane Numerical Simulation of Two-Phase Flow
through Heterogeneous Porous Media . . . 117--125
M. Afif and
A. Bergam and
Z. Mghazli and
R. Verfürth A Posteriori Estimators for the Finite
Volume Discretization of an Elliptic
Problem . . . . . . . . . . . . . . . . 127--136
M. Akhmouch and
N. Guessous High-Order Analytical Nodal Method for
the Multigroup Diffusion Equations . . . 137--146
Giampietro Allasia Simultaneous Interpolation and
Approximation by a Class of Multivariate
Positive Operators . . . . . . . . . . . 147--158
El Bachir Ameur and
Driss Sbibih and
Paul Sablonniere A General Multiresolution Method for
Fitting Functions on the Sphere . . . . 159--171
B. Beckermann and
A. Osipov Some Spectral Properties of Infinite
Band Matrices . . . . . . . . . . . . . 173--185
A. Bergam and
C. Bernardi and
F. Hecht and
Z. Mghazli Error Indicators for the Mortar Finite
Element Discretization of a Parabolic
Problem . . . . . . . . . . . . . . . . 187--201
A. C. Berti and
C. F. Bracciali and
A. Sri Ranga Orthogonal Polynomials Associated with
Related Measures and Sobolev Orthogonal
Polynomials . . . . . . . . . . . . . . 203--216
D. A. Bini and
G. Fiorentino and
L. Gemignani and
B. Meini Effective Fast Algorithms for Polynomial
Spectral Factorization . . . . . . . . . 217--227
A. Chakib and
T. Ghemires and
A. Nachaoui Study of a Numerical Approach for a
Transient Flow Problem in Porous Media 229--243
J. P. Chehab and
B. Costa Multiparameter Schemes for Evolutionary
Equations . . . . . . . . . . . . . . . 245--257
Ronald Cools Extrapolation and Adaptivity in Software
for Automatic Numerical Integration on a
Cube . . . . . . . . . . . . . . . . . . 259--269
N. Del Buono and
L. Lopez Numerical Integration of a Class of
Ordinary Differential Equations on the
General Linear Group of Matrices . . . . 271--281
Lilianne Denis-Vidal and
Ghislaine Joly-Blanchard and
Céline Noiret System Identifiability (Symbolic
Computation) and Parameter Estimation
(Numerical Computation) . . . . . . . . 283--292
Z. Dostál A Proportioning Based Algorithm with
Rate of Convergence for Bound
Constrained Quadratic Programming . . . 293--302
François Dubois and
Stéphanie Mengué Mixed Collocation for Fractional
Differential Equations . . . . . . . . . 303--311
Dario Fasino and
Luca Gemignani Direct and Inverse Eigenvalue Problems
for Diagonal-Plus-Semiseparable Matrices 313--324
Michael Hill and
Ian Robinson A Comparison of Strategies for the
Automatic Computation of Two-Dimensional
Integrals over Infinite Domains . . . . 325--338
K. Jbilou Block Krylov Subspace Methods for Large
Algebraic Riccati Equations . . . . . . 339--353
Mohammed Khachan and
François Guibault and
Hafsa Deddi Characterization of Trimmed NURBS
Surface Boundaries Using Topological
Criteria . . . . . . . . . . . . . . . . 355--366
A. Kouibia and
M. Pasadas and
M. L. Rodríguez Construction of ODE Curves . . . . . . . 367--377
M. Kzaz and
M. Prévost Convergence Acceleration of
Gauss--Chebyshev Quadrature Formulae . . 379--391
E. C. Laskari and
K. E. Parsopoulos and
M. N. Vrahatis Evolutionary Operators in Global
Optimization with Dynamic Search
Trajectories . . . . . . . . . . . . . . 393--403
A. Palomares and
V. Ramírez Thresholds of the Divisor Methods . . . 405--415
N. Revol Interval Newton Iteration in Multiple
Precision for the Univariate Case . . . 417--426
S. Serra-Capizzano Practical Band Toeplitz Preconditioning
and Boundary Layer Effects . . . . . . . 427--440
Anonymous List of Participants . . . . . . . . . . 441--452
Voichi\cta Maxim and
Marie-Laurence Mazure Subdivision Schemes and Irregular Grids 1--28
Yiorgos-Sokratis Smyrlis and
Andreas Karageorghis A Linear Least-Squares MFS for Certain
Elliptic Problems . . . . . . . . . . . 29--44
Dorota D\kabrowska Jitter and Measurement Errors in
Approximation and Integration of
Lipschitz Functions . . . . . . . . . . 45--60
Stanis\law Lewanowicz and
Pawe\l Wo\'zny Recurrence Relations for the
Coefficients in Series Expansions with
Respect to Semi-Classical Orthogonal
Polynomials . . . . . . . . . . . . . . 61--79
Qing-Hu Hou and
Alain Lascoux and
Yan-Ping Mu Continued Fractions for Rogers--Szeg\Ho
Polynomials . . . . . . . . . . . . . . 81--90
Guizhi Chen The Use of Refined Harmonic Shifts in
the Implicitly Restarted Refined
Harmonic Arnoldi Method . . . . . . . . 91--96
Oren E. Livne and
Gene H. Golub Scaling by Binormalization . . . . . . . 97--120
Barbara Zubik-Kowal and
Penny J. Davies Fourier Stability Analysis of a
Numerical Method for Time Domain
Electromagnetic Scattering from a Thin
Wire . . . . . . . . . . . . . . . . . . 121--130
Anonymous Book Reviews . . . . . . . . . . . . . . 131--136
José Mario Martínez and
Jin Yun Yuan Preface . . . . . . . . . . . . . . . . 137--137
X. Wu and
B. P. B. Silva and
J. Y. Yuan Conjugate Gradient Method for Rank
Deficient Saddle Point Problems . . . . 139--154
Carlos Henrique Medeiros de Sabóia and
Manoel Campêlo and
Susana Scheimberg A Computational Study of Global
Algorithms for Linear Bilevel
Programming . . . . . . . . . . . . . . 155--173
Carlos Humes, Jr. and
Paulo J. S. Silva and
Benar F. Svaiter Some Inexact Hybrid Proximal Augmented
Lagrangian Algorithms . . . . . . . . . 175--184
Clovis C. Gonzaga and
Marli Cardia Properties of the Central Points in
Linear Programming Problems . . . . . . 185--204
Musheng Wei and
Alvaro R. De Pierro and
Jiahong Yin Error Estimates for Two Filters Based on
Polynomial Interpolation for Recovering
a Function from Its Fourier Coefficients 205--231
Wilfredo Sosa and
Fernanda M. P. Raupp A New Approach to a Multicriteria
Optimization Problem . . . . . . . . . . 233--247
Yu-Hong Dai and
Li-Zhi Liao and
Duan Li On Restart Procedures for the Conjugate
Gradient Method . . . . . . . . . . . . 249--260
Rosana Pérez and
Véra Lucia Rocha Lopes Recent Applications and Numerical
Implementation of Quasi-Newton Methods
for Solving Nonlinear Systems of
Equations . . . . . . . . . . . . . . . 261--285
Carlile Lavor and
Nelson Maculan A Function to Test Methods Applied to
Global Minimization of Potential Energy
of Molecules . . . . . . . . . . . . . . 287--300
D. Calvetti and
L. Reichel and
A. Shuibi $L$-Curve and Curvature Bounds for
Tikhonov Regularization . . . . . . . . 301--314
Marcia Fampa and
Nelson Maculan Using a Conic Formulation for Finding
Steiner Minimal Trees . . . . . . . . . 315--330
N. Echebest and
M. T. Guardarucci and
H. Scolnik and
M. C. Vacchino An Acceleration Scheme for Solving
Convex Feasibility Problems Using
Incomplete Projection Algorithms . . . . 331--350
Owe Axelsson and
Zhong-Zhi Bai and
Shou-Xia Qiu A Class of Nested Iteration Schemes for
Linear Systems with a Coefficient Matrix
with a Dominant Positive Definite
Symmetric Part . . . . . . . . . . . . . 351--372
Elon Santos Correa and
Maria Teresinha A. Steiner and
Alex A. Freitas and
Celso Carnieri A Genetic Algorithm for Solving a
Capacitated $p$-Median Problem . . . . . 373--388
Anonymous List of Participants . . . . . . . . . . 389--395
Ferenc Kálovics and
Gabriella Mészáros Box Valued Functions in Solving Systems
of Equations and Inequalities . . . . . 1--12
Rida T. Farouki and
Chang Yong Han Computation of Minkowski Values of
Polynomials over Complex Sets . . . . . 13--29
Kai Diethelm and
Neville J. Ford and
Alan D. Freed Detailed Error Analysis for a Fractional
Adams Method . . . . . . . . . . . . . . 31--52
J. C. Butcher and
Z. Jackiewicz Construction of General Linear Methods
with Runge--Kutta Stability Properties 53--72
James G. Nagy and
Katrina Palmer and
Lisa Perrone Iterative Methods for Image Deblurring:
a Matlab Object-Oriented Approach . . . 73--93
Lori Badea and
Prabir Daripa A Domain Embedding Method Using the
Optimal Distributed Control and a Fast
Algorithm . . . . . . . . . . . . . . . 95--112
Amparo Gil and
Wolfram Koepf and
Javier Segura Computing the Real Zeros of
Hypergeometric Functions . . . . . . . . 113--134
W. Auzinger and
H. Hofstätter and
W. Kreuzer and
E. Weinmüller Modified Defect Correction Algorithms
for ODEs. Part I: General Theory . . . . 135--155
Luca Gemignani and
Grazia Lotti Rounding Error Analysis in Solving
$M$-Matrix Linear Systems of Block
Hessenberg Form . . . . . . . . . . . . 157--168
Francesca Mazzia and
Donato Trigiante A Hybrid Mesh Selection Strategy Based
on Conditioning for Boundary Value ODE
Problems . . . . . . . . . . . . . . . . 169--187
Kuniyoshi Abe and
Shao-Liang Zhang and
Taketomo Mitsui and
Cheng-Hai Jin A Variant of the ORTHOMIN(2) Method for
Singular Linear Systems . . . . . . . . 189--202
Bernard Bialecki and
Andreas Karageorghis Legendre Gauss Spectral Collocation for
the Helmholtz Equation on a Rectangle 203--227
Leszek Plaskota and
Grzegorz W. Wasilkowski Smolyak's Algorithm for Integration and
$L_1$-Approximation of Multivariate
Functions with Bounded Mixed Derivatives
of Second Order . . . . . . . . . . . . 229--246
Richard J. Mathar Numerical Representations of the
Incomplete Gamma Function of
Complex-Valued Argument . . . . . . . . 247--264
F. Jézéquel and
J.-M. Chesneaux Computation of an Infinite Integral
Using Romberg's Method . . . . . . . . . 265--283
Juri D. Kandilarov and
Lubin G. Vulkov The Immersed Interface Method for a
Nonlinear Chemical Diffusion Equation
with Local Sites of Reactions . . . . . 285--307
C. Brezinski Extrapolation Algorithms for Filtering
Series of Functions, and Treating the
Gibbs Phenomenon . . . . . . . . . . . . 309--329
Henrik Brandén and
Per Sundqvist An Algorithm for Computing Fundamental
Solutions of Difference Operators . . . 331--343
C. Conti and
K. Jetter Concerning Order of Convergence for
Subdivision . . . . . . . . . . . . . . 345--363
Gianni Codevico and
Victor Y. Pan and
Marc Van Barel Newton-Like Iteration Based on a Cubic
Polynomial for Structured Matrices . . . 365--380
Anonymous Author Index, Volume 36 (2004) . . . . . 381--381
Anonymous Contents of Volume 36 (2004) . . . . . . 383--384
R. Alt and
J.-L. Lamotte In Honour of Jean Vignes and Ulrich
Kulisch . . . . . . . . . . . . . . . . 1--2
Marilton Sanchotene de Aguiar and
Graçaliz Pereira Dimuro and
Antônio Carlos da Rocha Costa ICTM: An Interval Tessellation-Based
Model for Reliable Topographic
Segmentation . . . . . . . . . . . . . . 3--11
Ahmet Akka\cs and
Michael J. Schulte and
James E. Stine Intrinsic Compiler Support for Interval
Arithmetic . . . . . . . . . . . . . . . 13--20
Roselyne Avot-Chotin and
Habib Mehrez Hardware Implementation of Discrete
Stochastic Arithmetic . . . . . . . . . 21--33
Fritz G. Boese and
Wolfram J. Luther Enclosure of the Zero Set of
Multivariate Exponential Interval
Polynomials . . . . . . . . . . . . . . 35--44
Sylvie Boldo and
Marc Daumas A Simple Test Qualifying the Accuracy of
Horner's Rule for Polynomials . . . . . 45--60
J. A. Martínez and
L. G. Casado and
I. García and
Ya. D. Sergeyev and
B. Tóth On an Efficient Use of Gradient
Information for Accelerating Interval
Global Optimization Algorithms . . . . . 61--69
Elena V. Chausova Dynamic Network Inventory Control Model
with Interval Nonstationary Demand
Uncertainty . . . . . . . . . . . . . . 71--84
András Erik Csallner and
Tibor Csendes and
András Balázs Kocsis Reliable Numerical Computation in Civil
Engineering . . . . . . . . . . . . . . 85--91
Tibor Csendes Generalized Subinterval Selection
Criteria for Interval Global
Optimization . . . . . . . . . . . . . . 93--100
James Demmel and
Yozo Hida Fast and Accurate Floating Point
Summation with Application to
Computational Geometry . . . . . . . . . 101--112
Laurent-Stéphane Didier and
Fabien Rico High Radix BKM Algorithm . . . . . . . . 113--125
Eva Dyllong and
Wolfram Luther The GJK Distance Algorithm: An Interval
Version for Incremental Motions . . . . 127--136
Daniela Fausten and
Wolfram Luther and
Gerhard Haßlinger Accurate Computation of Traffic Workload
Distributions . . . . . . . . . . . . . 137--146
Luiz Henrique de Figueiredo and
Jorge Stolfi Affine Arithmetic: Concepts and
Applications . . . . . . . . . . . . . . 147--158
Nikolaj Glazunov Interval Computations and Their
Categorification . . . . . . . . . . . . 159--164
S. Hamdi and
W. H. Enright and
Y. Ouellet and
W. E. Schiesser Exact Solutions of Extended Boussinesq
Equations . . . . . . . . . . . . . . . 165--175
Ismail I. Idriss and
Wolfgang V. Walter Validated Infeasible Interior-Point
Predictor--Corrector Methods for Linear
Programming . . . . . . . . . . . . . . 177--185
Michel Kieffer and
Eric Walter Guaranteed Nonlinear State Estimator for
Cooperative Systems . . . . . . . . . . 187--198
Lubomir V. Kolev Solving Linear Systems Whose Elements
Are Nonlinear Functions of Intervals . . 199--212
Lubomir V. Kolev An Improved Interval Linearization for
Solving Nonlinear Problems . . . . . . . 213--224
Vladik Kreinovich and
Eric J. Pauwels and
Scott A. Ferson and
Lev Ginzburg A Feasible Algorithm for Locating
Concave and Convex Zones of Interval
Data and Its Use in Statistics-Based
Clustering . . . . . . . . . . . . . . . 225--232
Stefanie Krivsky and
Bruno Lang Using Interval Arithmetic for
Determining the Structure of Convex
Hulls . . . . . . . . . . . . . . . . . 233--240
Andrzej Marciniak Implicit Interval Methods for Solving
the Initial Value Problem . . . . . . . 241--251
Mihály Csaba Markót Optimal Packing of $28$ Equal Circles in
a Unit Square --- The First Reliable
Solution . . . . . . . . . . . . . . . . 253--261
Svetoslav Markov On Quasivector Spaces of Convex Bodies
and Zonotopes . . . . . . . . . . . . . 263--274
Svetoslav Markov and
Rene Alt and
Jean-Luc Lamotte Stochastic Arithmetic: $s$-spaces and
Some Applications . . . . . . . . . . . 275--284
Bharat C. Mulupuru and
Vladik Kreinovich and
Roberto Osegueda Interval Approach to Phase Measurements
Can Lead to Arbitrarily Complex Sets ---
a Theorem and Ways around It . . . . . . 285--299
Sunao Murashige and
Shin'ichi Oishi Numerical Verification of Solutions of
Periodic Integral Equations with a
Singular Kernel . . . . . . . . . . . . 301--310
Mitsuhiro T. Nakao and
Yoshitaka Watanabe An Efficient Approach to the Numerical
Verification for Solutions of Elliptic
Differential Equations . . . . . . . . . 311--323
Nedialko S. Nedialkov and
Vladik Kreinovich and
Scott A. Starks Interval Arithmetic, Affine Arithmetic,
Taylor Series Methods: Why, What Next? 325--336
M. Neher A Complex Mean Value Form for Curves . . 337--343
Evgenija D. Popova Parametric Interval Linear Solver . . . 345--356
Renata Hax Sander Reiser and
Graçaliz Pereira Dimuro and
Antônio Carlos da Rocha Costa The Interval Geometric Machine Model . . 357--366
David Defour and
Guillaume Hanrot and
Vincent Lef\`evre and
Jean-Michel Muller and
Nathalie Revol and
Paul Zimmermann Proposal for a Standardization of
Mathematical Function Implementation in
Floating-Point Arithmetic . . . . . . . 367--375
Jean Vignes Discrete Stochastic Arithmetic for
Validating Results of Numerical Software 377--390
Tamás Vinkó and
Dietmar Ratz A Multidimensional Branch-and-Prune
Method for Interval Global Optimization 391--399
G. William Walster and
Eldon Hansen Using Pillow Functions to Efficiently
Compute Crude Range Tests . . . . . . . 401--415
Jürgen Wolff von Gudenberg and
Vladik Kreinovich A Full Function-Based Calculus of
Directed and Undirected Intervals:
Markov's Interval Arithmetic Revisited 417--428
Anonymous Chebyshev Polynomials and Spectral
Methods . . . . . . . . . . . . . . . . 1--2
J. C. Mason and
A. Crampton Laurent--Padé Approximants to Four Kinds
of Chebyshev Polynomial Expansions. Part
I. Maehly Type Approximants . . . . . . 3--18
J. C. Mason and
A. Crampton Laurent--Padé Approximants to Four Kinds
of Chebyshev Polynomial Expansions. Part
II: Clenshaw--Lord Type Approximants . . 19--29
Mohamed K. El-Daou A Tau Method with Perturbed Boundary
Conditions for Certain Ordinary
Differential Equations . . . . . . . . . 31--45
Alvise Sommariva A Fast Nyström--Broyden Solver by
Chebyshev Compression . . . . . . . . . 47--60
J. C. Mason The Minimality Properties of Chebyshev
Polynomials and Their Lacunary Series 61--78
Alvise Sommariva and
Marco Vianello and
Renato Zanovello Adaptive Bivariate Chebyshev
Approximation . . . . . . . . . . . . . 79--94
C. J. Talbot and
A. Crampton Application of the Pseudo-Spectral
Method to $2$D Eigenvalue Problems in
Elasticity . . . . . . . . . . . . . . . 95--110
E. Leriche and
G. Labrosse Fundamental Stokes Eigenmodes in the
Square: Which Expansion Is More
Accurate, Chebyshev or Reid--Harris? . . 111--131
A. S. Palmer and
T. N. Phillips Numerical Approximation of the Spectra
of Phan-Thien Tanner Liquids . . . . . . 133--153
Michael M. J. Proot and
Marc I. Gerritsma Application of the Least-Squares
Spectral Element Method Using Chebyshev
Polynomials to Solve the Incompressible
Navier--Stokes Equations . . . . . . . . 155--172
Bart De Maerschalck and
Marc I. Gerritsma The Use of Chebyshev Polynomials in the
Space--Time Least-Squares Spectral
Element Method . . . . . . . . . . . . . 173--196
John P. Boyd Chebyshev Solution of the
Nearly-Singular One-Dimensional
Helmholtz Equation and Related Singular
Perturbation Equations: Multiple Scale
Series and the Boundary Layer
Rule-of-Thumb . . . . . . . . . . . . . 197--207
Lionel Mathelin and
M. Yousuff Hussaini and
Thomas A. Zang Stochastic Approaches to Uncertainty
Quantification in CFD Simulations . . . 209--236
Nicola Mastronardi and
Marc Van Barel and
Raf Vandebril A note on the recursive calculation of
dominant singular subspaces . . . . . . 237--242
Alicja Smoktunowicz and
Iwona Wróbel On improving the accuracy of Horner's
and Goertzel's algorithms . . . . . . . 243--258
Yuehong Tang and
Günter W. Mühlbach Cardinal ECT-splines . . . . . . . . . . 259--283
Luis Manuel Hernández-Ramos Alternating oblique projections for
coupled linear systems . . . . . . . . . 285--303
Sergio Blanes and
Fernando Casas Raising the order of geometric numerical
integrators by composition and
extrapolation . . . . . . . . . . . . . 305--326
Anonymous Book reviews . . . . . . . . . . . . . . 327--331
Dominique Apprato and
Christian Gout and
Christophe Rabut and
Leonardo Traversoni Multivariate approximation: An overview 1--6
Jeremy Levesley Where there's a Will there's a way --
the research of Will Light . . . . . . . 7--34
Eduardo Bayro-Corrochano Multi-resolution image analysis using
the quaternion wavelet transform . . . . 35--55
R. A. Brownlee Error estimates for interpolation of
rough data using the scattered shifts of
a radial basis function . . . . . . . . 57--68
J. M. Carnicer and
M. Gasca Generation of lattices of points for
bivariate interpolation . . . . . . . . 69--79
Daniel Castaño and
Angela Kunoth Multilevel regularization of wavelet
based fitting of scattered data --- some
experiments . . . . . . . . . . . . . . 81--96
Maria Charina and
Costanza Conti and
Thomas Sauer Regularity of multivariate vector
subdivision schemes . . . . . . . . . . 97--113
Andrew Crampton and
John C. Mason Detecting and approximating fault lines
from randomly scattered data . . . . . . 115--130
Lidia Fernández and
Teresa E. Pérez and
Miguel A. Piñar Classical orthogonal polynomials in two
variables: a matrix approach . . . . . . 131--142
Jorge L. Díaz Calle and
Philippe R. B. Devloo and
Sónia M. Gomes Wavelets and adaptive grids for the
discontinuous Galerkin method . . . . . 143--154
Christian Gout and
Carole Le Guyader and
Luminita Vese Segmentation under geometrical
conditions using geodesic active
contours and interpolation using level
set methods . . . . . . . . . . . . . . 155--173
Miklós Hoffmann Numerical control of Kohonen neural
network for scattered data approximation 175--186
Armin Iske and
Jeremy Levesley Multilevel scattered data approximation
by adaptive domain decomposition . . . . 187--198
Angela Kunoth Adaptive wavelet schemes for an elliptic
control problem with Dirichlet boundary
control . . . . . . . . . . . . . . . . 199--220
Carole Le Guyader and
Dominique Apprato and
Christian Gout Using a level set approach for image
segmentation under interpolation
conditions . . . . . . . . . . . . . . . 221--235
Antonio-Jesús López-Moreno and
Francisco-Javier Muñoz-Delgado Asymptotic expansion of multivariate
Kantorovich type operators . . . . . . . 237--252
Svenja Lowitzsch A density theorem for matrix-valued
radial basis functions . . . . . . . . . 253--256
Marie-Laurence Mazure Blossoming stories . . . . . . . . . . . 257--288
G. Casciola and
D. Lazzaro and
L. B. Montefusco and
S. Morigi Fast surface reconstruction and hole
filling using positive definite radial
basis functions . . . . . . . . . . . . 289--305
Francis J. Narcowich Recent developments in error estimates
for scattered-data interpolation via
radial basis functions . . . . . . . . . 307--315
Marco Paluszny and
Guillermo Montilla and
José Rafael Ortega Lemniscates $3$D: a CAGD primitive? . . 317--327
Christophe Rabut Locally tensor product functions . . . . 329--348
Dario A. Bini and
Nicholas J. Higham and
Beatrice Meini Algorithms for the matrix $p$th root . . 349--378
N. Mastronardi and
E. Van Camp and
M. Van Barel Divide and conquer algorithms for
computing the eigendecomposition of
symmetric diagonal-plus-semiseparable
matrices . . . . . . . . . . . . . . . . 379--398
Marie-Laurence Mazure Towards existence of piecewise
Chebyshevian B-spline bases . . . . . . 399--414
Miodrag S. Petkovi\'c and
Du\vsan M. Milo\vsevi\'c A higher order family for the
simultaneous inclusion of multiple zeros
of polynomials . . . . . . . . . . . . . 415--435
Ahmed Salam On theoretical and numerical aspects of
symplectic Gram--Schmidt-like algorithms 437--462
M. G. de Bruin and
H. P. Dikshit Pál-type Birkhoff interpolation on
nonuniformly distributed points . . . . 1--16
T. O. Espelid Computation of an infinite integral
using series acceleration . . . . . . . 17--22
Torsten Linß Sufficient conditions for uniform
convergence on layer-adapted meshes for
one-dimensional reaction--diffusion
problems . . . . . . . . . . . . . . . . 23--32
Miquel Grau and
Josep M. Peris Iterative method generated by inverse
interpolation with additional
evaluations . . . . . . . . . . . . . . 33--45
Ricardo D. Fierro and
Per Christian Hansen UTV Expansion Pack: Special-purpose
rank-revealing algorithms . . . . . . . 47--66
Waleed Al-Hayani and
Luis Casasús Approximate analytical solution of
fourth order boundary value problems . . 67--78
Winfried Auzinger and
Othmar Koch and
Dirk Praetorius and
Ewa Weinmüller New a posteriori error estimates for
singular boundary value problems . . . . 79--100
Anonymous Preface . . . . . . . . . . . . . . . . 101--101
Jean-Paul Chehab and
Jacques Laminie Differential equations and solution of
linear systems . . . . . . . . . . . . . 103--124
Judith M. Ford and
Eugene E. Tyrtyshnikov Solving linear systems using wavelet
compression combined with Kronecker
product approximation . . . . . . . . . 125--135
M. Heyouni and
A. Essai Matrix Krylov subspace methods for
linear systems with multiple right-hand
sides . . . . . . . . . . . . . . . . . 137--156
Gérard Meurant Estimates of the $l_2$ norm of the error
in the conjugate gradient algorithm . . 157--169
Maria Morandi Cecchi and
Massimo Fornasier Fast homogenization algorithm based on
asymptotic theory and multiscale schemes 171--186
A. Nachaoui and
J. Abouchabaka and
N. Rafalia Parallel solvers for the depletion
region identification in metal
semiconductor field effect transistors 187--199
H. Sadok Analysis of the convergence of the
minimal and the orthogonal residual
methods . . . . . . . . . . . . . . . . 201--216
F. Marcuzzi and
M. Morandi Cecchi A parallel solver for adaptive finite
element discretizations . . . . . . . . 217--231
Jens Struckmeier A deterministic scheme for
Smoluchowski's coagulation equation
based on binary grid refinement . . . . 233--249
Rida T. Farouki and
Chang Yong Han and
Joel Hass Boundary evaluation algorithms for
Minkowski combinations of complex sets
using topological analysis of implicit
curves . . . . . . . . . . . . . . . . . 251--283
W. Auzinger and
H. Hofstätter and
W. Kreuzer and
E. Weinmüller Modified defect correction algorithms
for ODEs. Part II: Stiff initial value
problems . . . . . . . . . . . . . . . . 285--303
Natalia Kopteva and
Niall Madden and
Martin Stynes Grid equidistribution for
reaction--diffusion problems in one
dimension . . . . . . . . . . . . . . . 305--322
F. Fauvet and
J. Thomann Formal and numerical computations with
resurgent functions . . . . . . . . . . 323--353
A. Aimi and
M. Diligenti and
F. Lunardini Panel clustering method and restriction
matrices for symmetric Galerkin BEM . . 355--382
Gareth I. Hargreaves and
Nicholas J. Higham Efficient algorithms for the matrix
cosine and sine . . . . . . . . . . . . 383--400
Piotr Gajda Smolyak's algorithm for weighted
$L_1$-approximation of multivariate
functions with bounded $r$th mixed
derivatives over $R^d$ . . . . . . . . . 401--414
J. C. Butcher and
G. Hojjati Second derivative methods with RK
stability . . . . . . . . . . . . . . . 415--429
M. Bozzini and
L. Lenarduzzi and
R. Schaback Kernel B-splines and interpolation . . . 1--16
Scott A. Sarra Digital total variation filtering as
postprocessing for Chebyshev
pseudospectral methods for conservation
laws . . . . . . . . . . . . . . . . . . 17--33
Günter W. Mühlbach and
Yuehong Tang Computing ECT-B-splines recursively . . 35--78
Michael Breuß and
Andrea Bürgel and
Thomas Brox and
Thomas Sonar and
Joachim Weickert Numerical aspects of TV flow . . . . . . 79--101
Harald Hofstätter and
Othmar Koch Analysis of a defect correction method
for geometric integrators . . . . . . . 103--126
María-Luisa Rapún and
Francisco-Javier Sayas Boundary integral approximation of a
heat-diffusion problem in time-harmonic
regime . . . . . . . . . . . . . . . . . 127--160
Silvana Ilie and
Robert M. Corless and
Greg Reid Numerical solutions of index-$1$
differential algebraic equations can be
computed in polynomial time . . . . . . 161--171
Zhen-Jun Shi and
Jie Shen On memory gradient method with trust
region for unconstrained optimization 173--196
Olga Taussky and
John Todd Cholesky, Toeplitz and the triangular
factorization of symmetric matrices . . 197--202
I. Al-Subaihi and
G. A. Watson An algorithm for matching point sets
using the $l_1$ norm . . . . . . . . . . 203--217
Marek J. \'Smieta\'nski An approximate Newton method for
non-smooth equations with finite max
functions . . . . . . . . . . . . . . . 219--238
Heinz H. Bauschke and
Patrick L. Combettes and
Serge G. Kruk Extrapolation algorithm for
affine-convex feasibility problems . . . 239--274
C. van der Mee and
G. Rodriguez and
S. Seatzu Fast computation of two-level circulant
preconditioners . . . . . . . . . . . . 275--295
Rafal Nowak A method of convergence acceleration of
some continued fractions . . . . . . . . 297--317
Raf Vandebril and
Gene Golub and
Marc Van Barel A small note on the scaling of symmetric
positive definite semiseparable matrices 319--326
Jinhai Chen and
Weiguo Li An exponential regula falsi method for
solving nonlinear equations . . . . . . 327--338
Markus Fenn and
Stefan Kunis and
Daniel Potts Fast evaluation of trigonometric
polynomials from hyperbolic crosses . . 339--352
Stefan Paszkowski Evaluation of a Harrison integral . . . 353--358
J. L. Gracia and
E. O'Riordan A defect-correction parameter-uniform
numerical method for a singularly
perturbed convection-diffusion problem
in one dimension . . . . . . . . . . . . 359--385
Tony F. Chan and
Ke Chen On a nonlinear multigrid algorithm with
primal relaxation for the image total
variation minimisation . . . . . . . . . 387--411
Juan Dominguez and
María D. González-Lima A primal-dual interior-point algorithm
for quadratic programming . . . . . . . 1--30
Zhongxiao Jia Using cross-product matrices to compute
the SVD . . . . . . . . . . . . . . . . 31--61
Neculai Andrei An acceleration of gradient descent
algorithm with backtracking for
unconstrained optimization . . . . . . . 63--73
Simon Hubbert and
Stefan Müller Interpolation with circular basis
functions . . . . . . . . . . . . . . . 75--90
Anonymous Book Reviews . . . . . . . . . . . . . . 91--94
Fengbo Hang and
Youming Li On applicability of the sparse grid
method in the worst case setting . . . . 95--105
Thomas Slawig PDE-constrained control using
Femlab-Control of the Navier--Stokes
equations . . . . . . . . . . . . . . . 107--126
Gyurhan H. Nedzhibov and
Vejdi I. Hasanov and
Milko G. Petkov On some families of multi-point
iterative methods for solving nonlinear
equations . . . . . . . . . . . . . . . 127--136
E. H. Doha and
A. H. Bhrawy Efficient spectral-Galerkin algorithms
for direct solution for second-order
differential equations using Jacobi
polynomials . . . . . . . . . . . . . . 137--164
H. Hashemi Mehne and
A. Hashemi Borzabadi A numerical method for solving optimal
control problems using state
parametrization . . . . . . . . . . . . 165--169
Shayne Waldron Computing orthogonal polynomials on a
triangle by degree raising . . . . . . . 171--179
Jin-jun Hou and
Zhen-yun Peng and
Xiang-lin Zhang An iterative method for the least
squares symmetric solution of matrix
equation $A X B = C A X B = C$ . . . . . 181--192
I. Alonso-Mallo and
B. Cano and
M. J. Moreta Stable Runge--Kutta--Nyström methods for
dissipative stiff problems . . . . . . . 193--203
Michele Benzi and
Ljiljana Cvetkovi\'c and
Michael Neumann Preface . . . . . . . . . . . . . . . . 205--206
Zhong-Zhi Bai and
Jun-Liang Dong A modified damped Newton method for
linear complementarity problems . . . . 207--228
Ljiljana Cvetkovi\'c $H$-matrix theory vs. eigenvalue
localization . . . . . . . . . . . . . . 229--245
Lilia Yu. Kolotilina Bounds for the Perron root,
singularity/nonsingularity conditions,
and eigenvalue inclusion sets . . . . . 247--280
Volker Mehrmann and
Chunchao Shi Transformation of high order linear
differential-algebraic systems to first
order . . . . . . . . . . . . . . . . . 281--307
Daniel B. Szyld The many proofs of an identity on the
norm of oblique projections . . . . . . 309--323
Ljiljana Cvetkovi\'c and
Vladimir Kosti\'c New subclasses of block $H$-matrices
with applications to parallel
decomposition-type relaxation methods 325--334
Ljiljana Cvetkovi\'c and
Djurdjica Takaci On matrices with operator entries . . . 335--344
Marko D. Petkovi\'c and
Predrag S. Stanimirovi\'c Interpolation algorithm of
Leverrier--Faddeev type for polynomial
matrices . . . . . . . . . . . . . . . . 345--361
Miodrag S. Petkovi\'c and
Ljiljana D. Petkovi\'c On the convergence of the sequences of
Gerschgorin-like disks . . . . . . . . . 363--377
Stefan Becuwe and
Annie Cuyt On the fast solution of Toeplitz-block
linear systems arising in multivariate
approximation theory . . . . . . . . . . 1--24
M. Ganesh and
S. C. Hawkins A spectrally accurate algorithm for
electromagnetic scattering in three
dimensions . . . . . . . . . . . . . . . 25--60
Wilhelm Heinrichs Least-squares spectral collocation with
the overlapping Schwarz method for the
incompressible Navier--Stokes equations 61--73
G. Casciola and
E. Franchini and
L. Romani The mixed directional
difference-summation algorithm for
generating the Bézier net of a trivariate
four-direction Box-spline . . . . . . . 75--98
Gennady Yu. Kulikov and
Sergey K. Shindin One-leg variable-coefficient formulas
for ordinary differential equations and
local-global step size control . . . . . 99--121
A. Karageorghis and
Y.-S. Smyrlis and
T. Tsangaris A matrix decomposition MFS algorithm for
certain linear elasticity problems . . . 123--149
Dario A. Bini and
Ana Marco Computing curve intersection by means of
simultaneous iterations . . . . . . . . 151--175
Amin Boumenir Power series solutions for the KPP
equation . . . . . . . . . . . . . . . . 177--187
G. Alistair Watson Fitting enclosing cylinders to data in
$R^n$ . . . . . . . . . . . . . . . . . 189--196
Serena Morigi and
Lothar Reichel and
Fiorella Sgallari A truncated projected SVD method for
linear discrete ill-posed problems . . . 197--213
E. X. L. de Andrade and
A. Sri Ranga Modified Chebyshev algorithm: some
applications . . . . . . . . . . . . . . 215--233
Yves Lucet Fast Moreau envelope computation I:
numerical algorithms . . . . . . . . . . 235--249
James Baglama and
Lothar Reichel Restarted block Lanczos
bidiagonalization methods . . . . . . . 251--272
Jisheng Kou and
Yitian Li A variant of Chebyshev's method with
sixth-order convergence . . . . . . . . 273--278
C. Brezinski The life and work of André Cholesky . . . 279--288
Claude Brezinski Book reviews . . . . . . . . . . . . . . 289--294
A. G. Bratsos A modified predictor--corrector scheme
for the two-dimensional sine-Gordon
equation . . . . . . . . . . . . . . . . 295--308
Vita Rutka and
Andreas Wiegmann Explicit jump immersed interface method
for virtual material design of the
effective elastic moduli of composite
materials . . . . . . . . . . . . . . . 309--330
Abeer Ali Abushama and
Bernard Bialecki Modified nodal cubic spline collocation
for biharmonic equations . . . . . . . . 331--353
M. Ganesh and
K. Mustapha A fully discrete $H^1$-Galerkin method
with quadrature for nonlinear
advection-diffusion-reaction equations 355--383
Marcin Studniarski and
El Desouky Rahmo Approximating Clarke's subgradients of
semismooth functions by divided
differences . . . . . . . . . . . . . . 385--392
Wilhelm Heinrichs An adaptive spectral least-squares
scheme for the Burgers equation . . . . 1--10
Tao-Wen Liu and
Dong-Hui Li A cautious BFGS update for reduced
Hessian SQP . . . . . . . . . . . . . . 11--28
Marc Fuentes Diagonalization of the symmetrized
discrete $i$-th right shift operator: an
elementary proof . . . . . . . . . . . . 29--43
Sergio Amat and
Sonia Busquier and
J. Carlos Trillo On multiresolution schemes using a
stencil selection procedure:
applications to ENO schemes . . . . . . 45--68
Sofiya Ostrovska The approximation of logarithmic
function by $q$-Bernstein polynomials in
the case $q > 1$ . . . . . . . . . . . . 69--82
Wies\law Krajewski and
Umberto Viaro On MIMO model reduction by the weighted
equation-error approach . . . . . . . . 83--98
S. Morigi and
L. Reichel and
F. Sgallari Orthogonal projection regularization
operators . . . . . . . . . . . . . . . 99--114
Marnix Van Daele and
Guido Vanden Berghe P-stable Obrechkoff methods of arbitrary
order for second-order differential
equations . . . . . . . . . . . . . . . 115--131
J. M. Carnicer and
C. Godés Generalized principal lattices and cubic
pencils . . . . . . . . . . . . . . . . 133--145
Vedat Suat Erturk and
Shaher Momani A reliable algorithm for solving
tenth-order boundary value problems . . 147--158
Ch. Roland and
R. Varadhan and
C. E. Frangakis Squared polynomial extrapolation methods
with cycling: an application to the
positron emission tomography problem . . 159--172
Mao-lin Liang and
Chuan-hua You and
Li-fang Dai An efficient algorithm for the
generalized centro-symmetric solution of
matrix equation $A X B = C$ . . . . . . 173--184
G. M. Amiraliyev and
Hakki Duru and
I. G. Amiraliyeva A parameter-uniform numerical method for
a Sobolev problem with initial layer . . 185--203
Stéphane Mallat and
Gabriel Peyré A review of Bandlet methods for
geometrical image representation . . . . 205--234
Michael S. Floater and
Atgeirr F. Rasmussen and
Ulrich Reif Extrapolation methods for approximating
arc length and surface area . . . . . . 235--248
Stamatis Koumandos On a conjectured inequality of Gautschi
and Leopardi for Jacobi polynomials . . 249--253
O. Kounchev and
H. Render Convergence of polyharmonic splines on
semi-regular grids $\mathbb{Z} \times a
\mathbb{Z}^n$ for \boldmath $a \otimes
0$ . . . . . . . . . . . . . . . . . . . 255--272
S. P. Sidorov Optimal interpolation of convergent
algebraic series . . . . . . . . . . . . 273--279
D. G. Natsis Solitary wave solutions of the
one-dimensional Boussinesq equations . . 281--289
Ch. Tsitouras Runge--Kutta interpolants for high
precision computations . . . . . . . . . 291--307
Ruymán Cruz-Barroso and
Pablo González-Vera and
Olav Njåstad On bi-orthogonal systems of
trigonometric functions and quadrature
formulas for periodic integrands . . . . 309--333
Dominique Küpper and
Jürgen Lehn and
Andreas Rößler A step size control algorithm for the
weak approximation of stochastic
differential equations . . . . . . . . . 335--346
Elie Leopold Perturbed recurrence relations. II. The
general case . . . . . . . . . . . . . . 347--366
Marcel G. de Bruin `Classical' convergence theorems for
generalized continued fractions . . . . 367--380
V. Kanwar and
S. K. Tomar Modified families of multi-point
iterative methods for solving nonlinear
equations . . . . . . . . . . . . . . . 381--389
E. Berriochoa and
A. Cachafeiro and
F. Marcellán A new numerical quadrature formula on
the unit circle . . . . . . . . . . . . 391--401
Stefano De Marchi and
Michela Redivo-Zaglia and
Marco Vianello Preface . . . . . . . . . . . . . . . . 1--9
Walter Gautschi A guided tour through my bibliography 11--35
M. R. Capobianco and
G. Criscuolo Some remarks on the numerical
computation of integrals on an unbounded
interval . . . . . . . . . . . . . . . . 37--48
Gasper Jaklic and
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih and
Emil Zagar Three-pencil lattices on triangulations 49--60
Annamaria Mazzia and
Massimiliano Ferronato and
Giorgio Pini and
Giuseppe Gambolati A comparison of numerical integration
rules for the meshless local
Petrov--Galerkin method . . . . . . . . 61--74
Paul C. Leopardi Positive weight quadrature on the sphere
and monotonicities of Jacobi polynomials 75--87
Joris Van Deun Eigenvalue problems to compute almost
optimal points for rational
interpolation with prescribed poles . . 89--99
Takemitsu Hasegawa and
Susumu Hibino and
Yohsuke Hosoda and
Ichizo Ninomiya An extended doubly-adaptive quadrature
method based on the combination of the
Ninomiya and the FLR schemes . . . . . . 101--112
Carl de Boor Multivariate polynomial interpolation:
conjectures concerning GC-sets . . . . . 113--125
Ekatherina A. Karatsuba On an approach to the study of the
Jaynes--Cummings sum in quantum optics 127--137
Dirk Laurie Calculation of Radau--Kronrod and
Lobatto--Kronrod quadrature formulas . . 139--152
María Álvarez de Morales and
Lidia Fernández and
Teresa E. Pérez On differential properties for bivariate
orthogonal polynomials . . . . . . . . . 153--166
Simon Hubbert and
Stefan Müller Thin plate spline interpolation on the
unit interval . . . . . . . . . . . . . 167--177
Yuan Xu and
Oleg Tischenko and
Christoph Hoeschen Image reconstruction by OPED algorithm
with averaging . . . . . . . . . . . . . 179--193
Dario Fasino and
Luca Gemignani Structured eigenvalue problems for
rational Gauss quadrature . . . . . . . 195--204
Iurie Nicolae Caraus and
Feras M. Al Faqih Approximate solution of singular
integro-differential equations in
generalized Hölder spaces . . . . . . . . 205--215
Walter Gautschi and
Paul Leopardi Conjectured inequalities for Jacobi
polynomials and their largest zeros . . 217--230
Shayne Waldron Hermite polynomials on the plane . . . . 231--238
Carl Heinrich Rohwer The estimation of moments of an unknown
error distribution in the discrete pulse
transform . . . . . . . . . . . . . . . 239--251
F. A. Costabile and
F. Dell'Accio New embedded boundary-type quadrature
formulas for the simplex . . . . . . . . 253--267
Giorgio Mantica Fractal measures and polynomial
sampling: I.F.S.--Gaussian integration 269--281
Toshihide Ueno and
Simon Truscott and
Masami Okada New spline basis functions for sampling
approximations . . . . . . . . . . . . . 283--293
Tomas Sauer Approximate varieties, approximate
ideals and dimension reduction . . . . . 295--313
Carlo Drioli and
Davide Rocchesso On the use of kernel-based methods in
sound synthesis by physical modeling . . 315--329
Roberto Bertelle and
Maria Rosaria Russo An approach to the Gummel map by vector
extrapolation methods . . . . . . . . . 331--343
Gregory E. Fasshauer and
Jack G. Zhang On choosing ``optimal'' shape parameters
for RBF approximation . . . . . . . . . 345--368
Jean-Paul Berrut A formula for the error of finite
sinc-interpolation over a finite
interval . . . . . . . . . . . . . . . . 369--374
Oliver Salazar Celis and
Annie Cuyt and
Brigitte Verdonk Rational approximation of vertical
segments . . . . . . . . . . . . . . . . 375--388
R. Brownlee and
A. N. Gorban and
J. Levesley Stable simulation of fluid flow with
high-Reynolds number using Ehrenfests'
steps . . . . . . . . . . . . . . . . . 389--408
Katja Ihsberner Roundoff error analysis of fast DCT
algorithms in fixed point arithmetic . . 1--22
Dongxiu Xie and
Ningjun Huang and
Qin Zhang An inverse eigenvalue problem and a
matrix approximation problem for
symmetric skew-Hamiltonian matrices . . 23--34
M. A. Hernández and
N. Romero On the efficiency index of one-point
iterative processes . . . . . . . . . . 35--44
Athanassios G. Bratsos A second order numerical scheme for the
solution of the one-dimensional
Boussinesq equation . . . . . . . . . . 45--58
Dennis Cates and
Anne Gelb Detecting derivative discontinuity
locations in piecewise continuous
functions from Fourier spectral data . . 59--84
Xiaoping Wang and
Weizhong Zhang and
Liyan Zhang Intersection of a ruled surface with a
free-form surface . . . . . . . . . . . 85--100
Xiaoping Wang and
Weizhong Zhang and
Liyan Zhang Erratum: Intersection of a ruled surface
with a free-form surface . . . . . . . . 101--103
Hong Zheng and
Jianlin Li A practical solution for KKT systems . . 105--119
Peter K. Moore The impact of parameter selection on the
performance of an automatic adaptive
code for solving reaction-diffusion
equations in three dimensions . . . . . 121--139
Alina S\^\intamarian A generalization of Euler's constant . . 141--151
Lunji Song and
Yujiang Wu Incremental unknowns in
three-dimensional stationary problem . . 153--171
Zhongyi Liu and
Wenyu Sun An infeasible interior-point algorithm
with full-Newton step for linear
optimization . . . . . . . . . . . . . . 173--188
Per Christian Hansen Regularization Tools version 4.0 for
Matlab 7.3 . . . . . . . . . . . . . . . 189--194
A. H. Khater and
A. B. Shamardan and
D. K. Callebaut and
M. R. A. Sakran Numerical solutions of integral and
integro-differential equations using
Legendre polynomials . . . . . . . . . . 195--218
Pawel Keller A method for indefinite integration of
oscillatory and singular functions . . . 219--251
Miodrag M. Spalevi\'c A note on generalized averaged Gaussian
formulas . . . . . . . . . . . . . . . . 253--264
Tina Bosner and
Mladen Rogina Non-uniform exponential tension splines 265--294
Rodrigo M. S. de Oliveira and
Carlos Leonidas S. S. Sobrinho UPML formulation for truncating
conductive media in curvilinear
coordinates . . . . . . . . . . . . . . 295--319
P. Auquiert and
O. Gibaru and
E. Nyiri On the cubic $L_1$ spline interpolant to
the Heaviside function . . . . . . . . . 321--332
M. Van Daele and
G. Vanden Berghe P-stable exponentially-fitted Obrechkoff
methods of arbitrary order for
second-order differential equations . . 333--350
Sergio Barrachina and
Peter Benner and
Enrique S. Quintana-Ortí Efficient algorithms for generalized
algebraic Bernoulli equations based on
the matrix sign function . . . . . . . . 351--368
Frances Y. Kuo and
Ian H. Sloan and
Henryk Wo\'zniakowski Periodization strategy may fail in high
dimensions . . . . . . . . . . . . . . . 369--391
I. A. Al-Subaihi An algorithm for fitting circular arcs
to data using the $l_1$ norm . . . . . . 1--14
Skander Belhaj A fast method to block-diagonalize a
Hankel matrix . . . . . . . . . . . . . 15--34
Stefan Paszkowski Convergence acceleration of orthogonal
series . . . . . . . . . . . . . . . . . 35--62
R. S. Temsah Spectral methods for some singularly
perturbed third order ordinary
differential equations . . . . . . . . . 63--80
A. H. Khater and
A. B. Shamardan and
D. K. Callebaut and
M. R. A. Sakran Solving integral equations with
logarithmic kernels by Chebyshev
polynomials . . . . . . . . . . . . . . 81--93
V. Kanwar and
Sukhjit Singh and
S. Bakshi Simple geometric constructions of
quadratically and cubically convergent
iterative functions to solve nonlinear
equations . . . . . . . . . . . . . . . 95--107
Roger B. Sidje and
Alan B. Williams and
Kevin Burrage Fast generalized cross validation using
Krylov subspace methods . . . . . . . . 109--131
A. Jason Boggess and
B. Eric Bunch and
C. Charles N. Moore Fourier series and the Lubkin
$W$-transform . . . . . . . . . . . . . 133--142
Neculai Andrei Another hybrid conjugate gradient
algorithm for unconstrained optimization 143--156
Ioannis K. Argyros and
Livinus U. Uko On the convergence of the midpoint
method . . . . . . . . . . . . . . . . . 157--167
Ramesh Chand Mittal and
Ruchi Nigam Solution of a class of singular boundary
value problems . . . . . . . . . . . . . 169--179
A. Mandloi and
A. K. Pathak $(0, 2)$ Pál-type interpolation on a
circle in the complex plane involving
Möbius transforms . . . . . . . . . . . . 181--190
Desanka Radunovi\'c Multiresolution exponential B-splines
and singularly perturbed boundary
problem . . . . . . . . . . . . . . . . 191--210
Linas Vepstas An efficient algorithm for accelerating
the convergence of oscillatory series,
useful for computing the polylogarithm
and Hurwitz zeta functions . . . . . . . 211--252
Yuli Eidelman and
Luca Gemignani and
Israel Gohberg Efficient eigenvalue computation for
quasiseparable Hermitian matrices under
low rank perturbations . . . . . . . . . 253--273
Sayed Mahmoud and
Xiaojun Chen A verified inexact implicit Runge--Kutta
method for nonsmooth ODEs . . . . . . . 275--290
P. Maroni and
Z. da Rocha Connection coefficients between
orthogonal polynomials and the canonical
sequence: an approach based on symbolic
computation . . . . . . . . . . . . . . 291--314
P. Mokhtary and
S. M. Hosseini ``Rescale and modify'' implementation of
IRKS methods . . . . . . . . . . . . . . 315--325
Xiangchao Zhang and
Xiangqian Jiang Numerical analyses of the boundary
effect of radial basis functions in $3$D
surface reconstruction . . . . . . . . . 327--339
Yunkai Zhou and
Yousef Saad Block Krylov--Schur method for large
symmetric eigenvalue problems . . . . . 341--359
Kai Diethelm An investigation of some nonclassical
methods for the numerical approximation
of Caputo-type fractional derivatives 361--390
Joaquim J. Júdice and
Marcos Raydan and
Silvério S. Rosa and
Sandra A. Santos On the solution of the symmetric
eigenvalue complementarity problem by
the spectral projected gradient
algorithm . . . . . . . . . . . . . . . 391--407
Carl de Boor and
Christian Gout and
Angela Kunoth and
Christophe Rabut Multivariate approximation: theory and
applications. An overview . . . . . . . 1--9
Richard Vale and
Shayne Waldron Tight frames generated by finite
nonabelian groups . . . . . . . . . . . 11--27
Victoria Hernández-Mederos and
Pedro L. del Ángel and
Jorge Estrada-Sarlabous Isotropic umbrella based triangulation
of regular parametric surfaces . . . . . 29--47
S. Setzer and
G. Steidl and
T. Teuber Restoration of images with rotated
shapes . . . . . . . . . . . . . . . . . 49--66
C. Gout and
C. Le Guyader and
L. Romani and
A.-G. Saint-Guirons Approximation of surfaces with fault(s)
and/or rapidly varying data, using a
segmentation process, $D^m$-splines and
the finite element method . . . . . . . 67--92
Gasper Jaklic and
Jernej Kozak and
Marjeta Krajnc and
Vito Vitrih and
Emil Zagar Barycentric coordinates for Lagrange
interpolation over lattices on a simplex 93--104
Carole Le Guyader and
Christian Gout Geodesic active contour under
geometrical conditions: theory and $3$D
applications . . . . . . . . . . . . . . 105--133
Christophe Rabut and
Milvia Rossini Polyharmonic multiresolution analysis:
an overview and some new results . . . . 135--160
Carsten Burstedde and
Angela Kunoth A wavelet-based nested iteration-inexact
conjugate gradient algorithm for
adaptively solving elliptic PDEs . . . . 161--188
Nicolas Forcadel and
Carole Le Guyader and
Christian Gout Generalized fast marching method:
applications to image segmentation . . . 189--211
S. B. Damelin A walk through energy, discrepancy,
numerical integration and group
invariant measures on measurable subsets
of Euclidean space . . . . . . . . . . . 213--235
Larry L. Schumaker Computing bivariate splines in scattered
data fitting and the finite-element
method . . . . . . . . . . . . . . . . . 237--260
Karine Dadourian and
Jacques Liandrat Analysis of some bivariate non-linear
interpolatory subdivision schemes . . . 261--278
G. Landi and
E. Loli Piccolomini A projected Newton--CG method for
nonnegative astronomical image
deblurring . . . . . . . . . . . . . . . 279--300
Mikael Slevinsky and
Hassan Safouhi Numerical treatment of a twisted tail
using extrapolation methods . . . . . . 301--316
Wang Haijun On new third-order convergent iterative
formulas . . . . . . . . . . . . . . . . 317--325
J. Martín-Vaquero and
J. Vigo-Aguiar Exponential fitted Gauss, Radau and
Lobatto methods of low order . . . . . . 327--346
Xinghua Wang and
Peipei Tang A generalization of Müller's iteration
method based on standard information . . 347--359
Ioannis K. Argyros and
Sa\"\id Hilout A Fréchet derivative-free cubically
convergent method for set-valued maps 361--371
Virginia Alarcón and
Sergio Amat and
Sonia Busquier and
Fernando Manzano High order iterative schemes for
quadratic equations . . . . . . . . . . 373--381
Elie Leopold Perturbed recurrence relations. III. The
general case---some new applications . . 383--402
Giampietro Allasia Biographic notes on Luigi Gatteschi . . 1--4
Giampietro Allasia Luigi Gatteschi --- List of publications 5--9
Walter Gautschi and
Carla Giordano Luigi Gatteschi's work on asymptotics of
special functions and their zeros . . . 11--31
J. Abad and
F. J. Gómez and
J. Sesma An algorithm to obtain global solutions
of the double confluent Heun equation 33--51
Horst Alzer Gamma function inequalities . . . . . . 53--84
C. Brezinski and
G. Rodriguez and
S. Seatzu Error estimates for linear systems with
applications to regularization . . . . . 85--104
Wenchang Chu and
Xiaoyuan Wang Abel's lemma on summation by parts and
terminating $q$-series identities . . . 105--128
Djurdje Cvijovi\'c and
H. M. Srivastava Closed-form evaluations of certain
definite integrals by employing the
Cauchy integral theorem . . . . . . . . 129--141
Kathy Driver and
Kerstin Jordaan and
Norbert Mbuyi Interlacing of the zeros of Jacobi
polynomials with different parameters 143--152
Árpád Elbert and
Andrea Laforgia The zeros of the complementary error
function . . . . . . . . . . . . . . . . 153--157
Bruno Gabutti and
Giampietro Allasia Evaluation of $q$-gamma function and
$q$-analogues by iterative algorithms 159--168
Luis Garza and
Javier Hernández and
Francisco Marcellán Spectral transformations of measures
supported on the unit circle and the
Szeg\Ho transformation . . . . . . . . . 169--185
Walter Gautschi The numerical evaluation of a
challenging integral . . . . . . . . . . 187--194
Walter Gautschi On a conjectured inequality for the
largest zero of Jacobi polynomials . . . 195--198
Stanis\law Lewanowicz and
Pawel Wo\'zny and
Iván Area and
Eduardo Godoy Multivariate generalized Bernstein
polynomials: identities for orthogonal
polynomials of two variables . . . . . . 199--220
Lee Lorch and
Martin E. Muldoon Monotonic sequences related to zeros of
Bessel functions . . . . . . . . . . . . 221--233
J. N. Lyness Numerical evaluation of a
fixed-amplitude variable-phase integral 235--249
P. Maroni and
M. Mejri The symmetric $D_\omega$-semi-classical
orthogonal polynomials of class one . . 251--282
G. Mastroianni and
G. Monegato Some new applications of truncated
Gauss--Laguerre quadrature formulas . . 283--297
Pierpaolo Natalini and
Roberto Patrizi and
Paolo E. Ricci The Dirichlet problem for the Laplace
equation in a starlike domain of a
Riemann surface . . . . . . . . . . . . 299--313
Sotirios E. Notaris Positivity of the weights of
interpolatory quadrature formulae with
Bernstein--Szeg\Ho abscissae . . . . . . 315--329
W.-Y. Qiu and
R. Wong Global asymptotic expansions of the
Laguerre polynomials --- a
Riemann--Hilbert approach . . . . . . . 331--372
André Ronveaux Orthogonal polynomials --- centroid of
their zeroes . . . . . . . . . . . . . . 373--385
Javier Segura Interlacing of the zeros of contiguous
hypergeometric functions . . . . . . . . 387--407
Alvise Sommariva and
Marco Vianello and
Renato Zanovello Nontensorial Clenshaw--Curtis cubature 409--427
Li Zhang Two modified Dai--Yuan nonlinear
conjugate gradient methods . . . . . . . 1--16
Liang Bao and
Yiqin Lin and
Yimin Wei Restarted generalized Krylov subspace
methods for solving large-scale
polynomial eigenvalue problems . . . . . 17--32
Brian D. Sutton Computing the complete CS decomposition 33--65
E. H. Doha and
A. H. Bhrawy and
W. M. Abd-Elhameed Jacobi spectral Galerkin method for
elliptic Neumann problems . . . . . . . 67--91
Walter Gautschi On conjectured inequalities for zeros of
Jacobi polynomials . . . . . . . . . . . 93--96
Achiya Dax A hybrid algorithm for solving linear
inequalities in a least squares sense 97--114
Giovanna Pittaluga and
Laura Sacripante An algorithm for solving Fredholm
integro-differential equations . . . . . 115--126
Zhuo-hua Peng and
Jin-wang Liu The generalized bisymmetric solutions of
the matrix equation $ A_1 X_1 B_1 + A_2
X_2 B_2 + \cdots + A_\ell X_\ell B_\ell
= C $ and its optimal approximation . . 127--144
J. M. Carnicer and
C. Godés Classification of sets satisfying the
geometric characterization . . . . . . . 145--154
Christos Kravvaritis and
Marilena Mitrouli Compound matrices: properties, numerical
issues and analytical computations . . . 155--177
F. Fauvet and
F. Richard-Jung and
J. Thomann Automatic computation of Stokes matrices 179--213
Andreas Karageorghis Efficient MFS algorithms in regular
polygonal domains . . . . . . . . . . . 215--240
Ira Neitzel and
Uwe Prüfert and
Thomas Slawig Strategies for time-dependent PDE
control with inequality constraints
using an integrated modeling and
simulation environment . . . . . . . . . 241--269
Wang Haijun New third-order method for solving
systems of nonlinear equations . . . . . 271--282
Torsten Linß Analysis of a FEM for a coupled system
of singularly perturbed
reaction-diffusion equations . . . . . . 283--291
Walter Gautschi New conjectured inequalities for zeros
of Jacobi polynomials . . . . . . . . . 293--296
O. Axelsson and
J. Karátson Equivalent operator preconditioning for
elliptic problems . . . . . . . . . . . 297--380
Minho Kim and
Jörg Peters Fast and stable evaluation of
box-splines via the BB-form . . . . . . 381--399
Marek J. \'Smieta\'nski Convergence of a generalized Newton and
an inexact generalized Newton algorithms
for solving nonlinear equations with
nondifferentiable terms . . . . . . . . 401--415
Mehdi Dehghan and
Fatemeh Shakeri Method of lines solutions of the
parabolic inverse problem with an
overspecification at a point . . . . . . 417--437
Mamadou Mboup and
Cédric Join and
Michel Fliess Numerical differentiation with
annihilators in noisy environment . . . 439--467
M. Ganesh and
S. C. Hawkins A high-order algorithm for multiple
electromagnetic scattering in three
dimensions . . . . . . . . . . . . . . . 469--510
Gérard Meurant Gene H. Golub 1932--2007 . . . . . . . . 1--4
A. Amiraslani and
P. Lancaster Rayleigh quotient algorithms for
nonsymmetric matrix pencils . . . . . . 5--22
Dario A. Bini and
Beatrice Meini The cyclic reduction algorithm: from
Poisson equation to stochastic processes
and beyond . . . . . . . . . . . . . . . 23--60
C. Brezinski and
G. Rodriguez and
S. Seatzu Error estimates for the regularization
of least squares problems . . . . . . . 61--76
J. C. Butcher and
L. L. Hewitt The existence of symplectic general
linear methods . . . . . . . . . . . . . 77--84
M. Chau and
C. Tauber and
P. Spiteri Parallel Schwarz alternating methods for
anisotropic diffusion of speckled
medical images . . . . . . . . . . . . . 85--114
O. Dubois and
S. H. Lui Convergence estimates for an optimized
Schwarz method for PDEs with
discontinuous coefficients . . . . . . . 115--131
V. Faber and
J. Liesen and
P. Tichý On orthogonal reduction to Hessenberg
form with small bandwidth . . . . . . . 133--142
Walter Gautschi High-order generalized Gauss--Radau and
Gauss--Lobatto formulae for Jacobi and
Laguerre weight functions . . . . . . . 143--149
L. Giraud and
A. Haidar Parallel algebraic hybrid solvers for
large $3$D convection-diffusion problems 151--177
Mariya Ishteva and
Lieven De Lathauwer and
P.-A. Absil and
Sabine Van Huffel Differential-geometric Newton method for
the best rank-$({R}_1, {R}_2, {R}_3)$
approximation of tensors . . . . . . . . 179--194
K. Jbilou and
L. Reichel and
H. Sadok Vector extrapolation enhanced TSVD for
linear discrete ill-posed problems . . . 195--208
Daniel Kressner and
Christian Schröder and
David S. Watkins Implicit QR algorithms for palindromic
and even eigenvalue problems . . . . . . 209--238
James V. Lambers Krylov subspace spectral methods for the
time-dependent Schrödinger equation with
non-smooth potentials . . . . . . . . . 239--280
Shev MacNamara and
Kevin Burrage Krylov and steady-state techniques for
the solution of the chemical master
equation for the mitogen-activated
protein kinase cascade . . . . . . . . . 281--307
Gérard Meurant Estimates of the trace of the inverse of
a symmetric matrix using the modified
Chebyshev algorithm . . . . . . . . . . 309--318
Katharine M. Mullen and
Ivo H. M. van Stokkum The variable projection algorithm in
time-resolved spectroscopy, microscopy
and mass spectrometry applications . . . 319--340
L. Reichel and
G. Rodriguez and
S. Seatzu Error estimates for large-scale
ill-posed problems . . . . . . . . . . . 341--361
Zdenek Strakos Model reduction using the Vorobyev
moment problem . . . . . . . . . . . . . 363--379
Liangmin Zhou and
Lijing Lin and
Yimin Wei and
Sanzheng Qiao Perturbation analysis and condition
numbers of scaled total least squares
problems . . . . . . . . . . . . . . . . 381--399
Marie-Laurence Mazure A few remarks on recurrence relations
for geometrically continuous piecewise
Chebyshevian B-splines . . . . . . . . . 401--428
André Draux and
Borhane Moalla and
Mohamed Sadik Generalized $ q d $ algorithm and
Markov--Bernstein inequalities for
Jacobi weight . . . . . . . . . . . . . 429--447
Mikhail V. Bulatov and
Guido Vanden Berghe Two-step fourth order methods for linear
ODEs of the second order . . . . . . . . 449--460
Sarpono Dimulyo and
Zulfiqar Habib and
Manabu Sakai Fair cubic transition between two
circles with one circle inside or
tangent to the other . . . . . . . . . . 461--476
Marina Delgado-Téllez and
Alberto Ibort A numerical algorithm for singular
optimal LQ control systems . . . . . . . 477--500
Bernard Bialecki and
Graeme Fairweather and
David B. Knudson and
D. Abram Lipman and
Que N. Nguyen and
Weiwei Sun and
Gadalia M. Weinberg Matrix decomposition algorithms for the
finite element Galerkin method with
piecewise Hermite cubics . . . . . . . . 1--23
D. K. R. Babajee and
M. Z. Dauhoo Spectral analysis of the errors of some
families of multi-step Newton-like
methods . . . . . . . . . . . . . . . . 25--46
Adhemar Bultheel and
Maria-José Cantero A matricial computation of rational
quadrature formulas on the unit circle 47--68
William McLean and
Kassem Mustapha Convergence analysis of a discontinuous
Galerkin method for a sub-diffusion
equation . . . . . . . . . . . . . . . . 69--88
Bai-Ni Guo and
Feng Qi A simple proof of logarithmic convexity
of extended mean values . . . . . . . . 89--92
Marie-Laurence Mazure Bernstein-type operators in Chebyshev
spaces . . . . . . . . . . . . . . . . . 93--128
L. Bayón and
J. M. Grau and
M. M. Ruiz and
P. M. Suárez An application of the algorithm of the
cyclic coordinate descent in
multidimensional optimization problems
with constrained speed . . . . . . . . . 129--149
E. Ahusborde Legendre spectral methods for the
grad-(div) operator with free boundary
conditions . . . . . . . . . . . . . . . 151--171
Yingzhen Lin and
Yongfang Zhou Solving nonlinear pseudoparabolic
equations with nonlocal boundary
conditions in reproducing kernel space 173--186
M. Dosso and
M. Sadkane A spectral trichotomy method for
symplectic matrices . . . . . . . . . . 187--212
Yasuyo Hatano and
Ichizo Ninomiya and
Hiroshi Sugiura and
Takemitsu Hasegawa Numerical evaluation of Goursat's
infinite integral . . . . . . . . . . . 213--224
H. Mansouri and
C. Roos A new full-Newton step $O(n)$ infeasible
interior-point algorithm for
semidefinite optimization . . . . . . . 225--255
Ioannis K. Argyros and
Hongmin Ren On an improved local convergence
analysis for the Secant method . . . . . 257--271
R. Cruz-Barroso and
P. González-Vera and
F. Perdomo-Pío An application of Szeg\Ho polynomials to
the computation of certain weighted
integrals on the real line . . . . . . . 273--293
Ioannis K. Argyros On Ulm's method using divided
differences of order one . . . . . . . . 295--320
Livinus U. Uko and
Ioannis K. Argyros Generalized equations, variational
inequalities and a weak Kantorovich
theorem . . . . . . . . . . . . . . . . 321--333
Frank Uhlig Geometric computation of the numerical
radius of a matrix . . . . . . . . . . . 335--353
Daniel Potts and
Jürgen Prestin and
Antje Vollrath A fast algorithm for nonequispaced
Fourier transforms on the rotation group 355--384
Irem Yaman and
Metin Demiralp A new rational approximation technique
based on transformational high
dimensional model representation . . . . 385--407
Walter Gautschi Variable-precision recurrence
coefficients for nonstandard orthogonal
polynomials . . . . . . . . . . . . . . 409--418
Huang Zhengda and
Ma Guochun On the local convergence of a family of
Euler--Halley type iterations with a
parameter . . . . . . . . . . . . . . . 419--433
Burcu Tunga and
Metin Demiralp Constancy maximization based weight
optimization in high dimensional model
representation . . . . . . . . . . . . . 435--459
Mehdi Dehghan and
Ali Shokri A meshless method for numerical solution
of the one-dimensional wave equation
with an integral condition using radial
basis functions . . . . . . . . . . . . 461--477
María D. González-Lima and
Flor Montes de Oca A Newton-like method for nonlinear
system of equations . . . . . . . . . . 479--506
G. Mastroianni and
G. Monegato Some new applications of truncated
Gauss--Laguerre quadrature formulas . . 507--507
I. G. Amiraliyeva and
G. M. Amiraliyev Uniform difference method for
parameterized singularly perturbed delay
differential equations . . . . . . . . . 509--521
Mehdi Dehghan and
Akbar Mohebbi and
Zohreh Asgari Fourth-order compact solution of the
nonlinear Klein--Gordon equation . . . . 523--540
F. Ghoreishi and
M. Hadizadeh Numerical computation of the Tau
approximation for the
Volterra--Hammerstein integral equations 541--559
W. K. Zahra Exponential spline solutions for a class
of two point boundary value problems
over a semi-infinite range . . . . . . . 561--573
I. D. Coope On calculating generalized Cayley
transforms of bounded norm . . . . . . . 575--583
Hongmin Ren and
Qingbiao Wu and
Weihong Bi New variants of Jarratt's method with
sixth-order convergence . . . . . . . . 585--603
Dimitri Breda and
Stefano Maset and
Rossana Vermiglio An adaptive algorithm for efficient
computation of level curves of surfaces 605--628
Diana Estévez Schwarz Consistent initialization for DAEs in
Hessenberg form . . . . . . . . . . . . 629--648
Beong In Yun and
Miodrag S. Petkovi\'c Iterative methods based on the signum
function approach for solving nonlinear
equations . . . . . . . . . . . . . . . 649--662
Gabil M. Amiraliyev and
Fevzi Erdogan A finite difference scheme for a class
of singularly perturbed initial value
problems for delay differential
equations . . . . . . . . . . . . . . . 663--675
Pawe\l Przyby\lowicz Linear information for approximation of
the Itô integrals . . . . . . . . . . . . 677--699
Ioannis K. Argyros and
Sa\"\id Hilout On the convergence of Newton-type
methods under mild differentiability
conditions . . . . . . . . . . . . . . . 701--726
S. Morigi and
L. Reichel and
F. Sgallari Noise-reducing cascadic multilevel
methods for linear discrete ill-posed
problems . . . . . . . . . . . . . . . . 1--22
Marina Andretta and
Ernesto G. Birgin and
J. M. Martínez Partial spectral projected gradient
method with active-set strategy for
linearly constrained optimization . . . 23--52
Danny C. Sorensen and
Roland Glowinski A quadratically constrained minimization
problem arising from PDE of
Monge--Amp\`ere type . . . . . . . . . . 53--66
Joachim Dahl and
Per Christian Hansen and
Sòren Holdt Jensen and
Tobias Lindstròm Jensen Algorithms and software for total
variation image reconstruction via
first-order methods . . . . . . . . . . 67--92
Pavel Jiránek and
Miroslav Rozlozník Adaptive version of Simpler GMRES . . . 93--112
Wanyou Cheng and
Qunfeng Liu Sufficient descent nonlinear conjugate
gradient methods with conjugacy
condition . . . . . . . . . . . . . . . 113--131
Awad H. Al-Mohy and
Nicholas J. Higham The complex step approximation to the
Fréchet derivative of a matrix function 133--148
John C. Butcher and
Zdzis\law Jackiewicz and
Helmut Podhaisky and
Rüdiger Weiner Preface . . . . . . . . . . . . . . . . 149--151
J. C. Butcher Trees and numerical methods for ordinary
differential equations . . . . . . . . . 153--170
Robert P. K. Chan and
Angela Y. J. Tsai On explicit two-derivative Runge--Kutta
methods . . . . . . . . . . . . . . . . 171--194
R. DÁmbrosio and
M. Ferro and
Z. Jackiewicz and
B. Paternoster Two-step almost collocation methods for
ordinary differential equations . . . . 195--217
W. H. Enright and
P. H. Muir New interpolants for asymptotically
correct defect control of BVODEs . . . . 219--238
W. H. Enright and
Li Yan The reliability/cost trade-off for a
class of ODE solvers . . . . . . . . . . 239--260
Allison Heard Scale and modify for the second and
third order BDF methods . . . . . . . . 261--280
A. T. Hill $G$-matrices for algebraically stable
general linear methods . . . . . . . . . 281--292
Oliver Kolb and
Jens Lang and
Pia Bales An implicit box scheme for subsonic
compressible flow with dissipative
source term . . . . . . . . . . . . . . 293--307
Mihály Kovács and
Stig Larsson and
Fredrik Lindgren Strong convergence of the finite element
method with truncated noise for
semilinear parabolic stochastic
equations with additive noise . . . . . 309--320
Gennady Yu. Kulikov Local theory of extrapolation methods 321--342
Robert I. McLachlan and
Dion R. J. O'Neale Preservation and destruction of periodic
orbits by symplectic integrators . . . . 343--362
Bernhard A. Schmitt and
Rüdiger Weiner Parallel start for explicit parallel
two-step peer methods . . . . . . . . . 363--381
J. H. Verner Numerically optimal Runge--Kutta pairs
with interpolants . . . . . . . . . . . 383--396
Hossein ZivariPiran and
Wayne H. Enright An efficient unified approach for the
numerical solution of delay differential
equations . . . . . . . . . . . . . . . 397--417
Matthew M. Lin and
Bo Dong and
Moody T. Chu Semi-definite programming techniques for
structured quadratic inverse eigenvalue
problems . . . . . . . . . . . . . . . . 419--437
Nazim Mahmudov The moments for $q$-Bernstein operators
in the case $0 < q < 1$ . . . . . . . . . 439--450
Rajesh K. Pandey and
Om Prakash Singh and
Vineet K. Singh A stable algorithm for numerical
evaluation of Hankel transforms using
Haar wavelets . . . . . . . . . . . . . 451--466
Diyashvir Kreetee Rajiv Babajee and
M. Z. Dauhoo Convergence and spectral analysis of the
Frontini--Sormani family of multipoint
third order methods from quadrature rule 467--484
Alicia Cordero and
José L. Hueso and
Eulalia Martínez and
Juan R. Torregrosa Efficient three-step iterative methods
with sixth order convergence for
nonlinear equations . . . . . . . . . . 485--495
Zhongdi Cen and
Anbo Le A robust finite difference scheme for
pricing American put options with
Singularity--Separating method . . . . . 497--510
Christina C. Christara and
Tong Chen and
Duy Minh Dang Quadratic spline collocation for
one-dimensional linear parabolic partial
differential equations . . . . . . . . . 511--553
Yongyan Wu and
Kwok Fai Cheung Two-parameter homotopy method for
nonlinear equations . . . . . . . . . . 555--572
Chang-Ming Chen and
Fawang Liu and
Ian Turner and
Vo Anh Numerical schemes and multivariate
extrapolation of a two-dimensional
anomalous sub-diffusion equation . . . . 1--21
Neculai Andrei Accelerated hybrid conjugate gradient
algorithm with modified secant condition
for unconstrained optimization . . . . . 23--46
Renhong Wang and
Jiang Qian On branched continued fractions rational
interpolation over pyramid-typed grids 47--72
Dmitriy Melkonian Similar basis function algorithm for
numerical estimation of Fourier
integrals . . . . . . . . . . . . . . . 73--100
Maria Isabel Bueno Cachadina and
Alfredo Deaño and
Edward Tavernetti A new algorithm for computing the
Geronimus transformation with large
shifts . . . . . . . . . . . . . . . . . 101--139
Hassan Safouhi Bessel, sine and cosine functions and
extrapolation methods for computing
molecular multi-center integrals . . . . 141--167
Raffaele DÁmbrosio and
Zdzis\law Jackiewicz Continuous two-step Runge--Kutta methods
for ordinary differential equations . . 169--193
Yueqiang Shang and
Kun Wang Local and parallel finite element
algorithms based on two-grid
discretizations for the transient Stokes
equations . . . . . . . . . . . . . . . 195--218
Aurél Galántai and
Csaba J. Hegedüs A study of accelerated Newton methods
for multiple polynomial roots . . . . . 219--243
S. M. Goh and
M. S. M. Noorani and
I. Hashim On solving the chaotic Chen system: a
new time marching design for the
variational iteration method using
Adomian's polynomial . . . . . . . . . . 245--260
Andreas Karageorghis Efficient Kansa-type MFS algorithm for
elliptic problems . . . . . . . . . . . 261--278
Fu-Rong Lin and
Michael K. Ng Inverse product Toeplitz preconditioners
for non-Hermitian Toeplitz systems . . . 279--295
Dimitrios Triantafyllou and
Marilena Mitrouli On rank and null space computation of
the generalized Sylvester matrix . . . . 297--324
Peng Zhu and
Shuzi Zhou Relaxation Lax--Friedrichs sweeping
scheme for static Hamilton--Jacobi
equations . . . . . . . . . . . . . . . 325--342
Jun-Liang Dong Shifted skew-symmetric iteration methods
for nonsymmetric linear complementarity
problems . . . . . . . . . . . . . . . . 343--357
Siegfried M. Rump and
Stef Graillat Verified error bounds for multiple roots
of systems of nonlinear equations . . . 359--377
Ranjan Kumar Mohanty On the use of AGE algorithm with a high
accuracy Numerov type variable mesh
discretization for $1$D non-linear
parabolic equations . . . . . . . . . . 379--393
Fadi Awawdeh On new iterative method for solving
systems of nonlinear equations . . . . . 395--409
Yonghoon Ha and
Keunwha Lee and
Woojae Seong Pseudospectral time-domain method for
pressure-release rough surface
scattering using a surface
transformation and image method . . . . 411--430
Relja Vulanovi\'c and
Ljiljana Teofanov A uniform numerical method for
semilinear reaction-diffusion problems
with a boundary turning point . . . . . 431--444
Janak Raj Sharma and
Rajni Sharma A new family of modified Ostrowski's
methods with accelerated eighth order
convergence . . . . . . . . . . . . . . 445--458
Dagmar Medková Integral representation of a solution of
the Neumann problem for the Stokes
system . . . . . . . . . . . . . . . . . 459--484
Ioannis K. Argyros On a class of secant-like methods for
solving nonlinear equations . . . . . . 485--501
Predrag S. Stanimirovi\'c and
Marko B. Miladinovi\'c Accelerated gradient descent methods
with line search . . . . . . . . . . . . 503--520
Saeid Abbasbandy and
A. Shirzadi Homotopy analysis method for multiple
solutions of the fractional
Sturm--Liouville problems . . . . . . . 521--532
Philip W. Livermore and
Glenn R. Ierley Quasi-$L^p$ norm orthogonal Galerkin
expansions in sums of Jacobi polynomials 533--569
Moosa Ebadi and
M. Y. Gokhale Hybrid BDF methods for the numerical
solutions of ordinary differential
equations . . . . . . . . . . . . . . . 1--17
Amílcar Branquinho and
Luis Cotrim and
Ana Foulquié Moreno Matrix interpretation of multiple
orthogonality . . . . . . . . . . . . . 19--37
Jiao-Fen Li and
Xi-Yan Hu and
Lei Zhang The nearness problems for symmetric
centrosymmetric with a special submatrix
constraint . . . . . . . . . . . . . . . 39--57
Federico Greco and
Bruno Iannazzo A binary powering Schur algorithm for
computing primary matrix roots . . . . . 59--78
Jianling Li and
Peng Wang and
Lin Ma A new algorithm for the general
quadratic programming problems with box
constraints . . . . . . . . . . . . . . 79--85
Alicia Cordero and
José L. Hueso and
Eulalia Martínez and
Juan R. Torregrosa A modified Newton--Jarratt's composition 87--99
Nguyen Minh Tuan and
Lan T. T. Nguyen On solutions of a system of hereditary
and self-referred partial-differential
equations . . . . . . . . . . . . . . . 101--113
Federico Poloni A note on the $O(n)$-storage
implementation of the GKO algorithm and
its adaptation to Trummer-like matrices 115--139
Alessandra Aimi and
Mauro Diligenti and
Chiara Guardasoni Numerical integration schemes for
space--time hypersingular integrals in
energetic Galerkin BEM . . . . . . . . . 145--170
Martin Berzins Nonlinear data-bounded polynomial
approximations and their applications in
ENO methods . . . . . . . . . . . . . . 171--189
Isabel Cação Complete orthonormal sets of polynomial
solutions of the Riesz and
Moisil--Teodorescu systems in $R^3$ . . 191--203
Maria Rosaria Capobianco and
Giuliana Criscuolo and
Peter Junghanns Newton methods for a class of nonlinear
hypersingular integral equations . . . . 205--221
Jesus M. Carnicer Weighted interpolation for equidistant
nodes . . . . . . . . . . . . . . . . . 223--232
Annie Cuyt and
Xianglan Yang A practical error formula for
multivariate rational interpolation and
approximation . . . . . . . . . . . . . 233--243
Antonia M. Delgado and
Lidia Fernández and
Teresa E. Pérez and
Miguel A. Piñar and
Yuan Xu Orthogonal polynomials in several
variables for measures with mass points 245--264
Walter Gautschi Gauss quadrature routines for two
classes of logarithmic weight functions 265--277
Huiyuan Li and
Jiachang Sun and
Yuan Xu Discrete Fourier analysis with lattices
on planar domains . . . . . . . . . . . 279--300
Pedro Miguel Lima and
M. Filomena Teodoro and
Neville J. Ford and
Patricia M. Lumb Finite element solution of a linear
mixed-type functional differential
equation . . . . . . . . . . . . . . . . 301--320
Giorgio Mantica Dynamical systems and numerical
analysis: the study of measures
generated by uncountable I.F.S. . . . . 321--335
M. Luísa Morgado and
Pedro Miguel Lima Finite difference solution of a singular
boundary value problem for the
$p$-Laplace operator . . . . . . . . . . 337--348
Richard Pasquetti and
Francesca Rapetti Spectral element methods on unstructured
meshes: which interpolation points? . . 349--366
Gert Tamberg On truncation errors of some generalized
Shannon sampling operators . . . . . . . 367--382
Marc Van Barel and
Andrey Chesnokov A method to compute recurrence relation
coefficients for bivariate orthogonal
polynomials by unitary matrix
transformations . . . . . . . . . . . . 383--402
Jalil Rashidinia and
M. Ghasemi and
R. Jalilian An $O(h^6)$ numerical solution of
general nonlinear fifth-order two point
boundary value problems . . . . . . . . 403--428
A. Valinejad and
S. Mohammad Hosseini A variable step-size control algorithm
for the weak approximation of stochastic
differential equations . . . . . . . . . 429--446
Ioannis K. Argyros and
Sa\"\id Hilout A Kantorovich-type convergence analysis
of the Newton--Josephy method for
solving variational inequalities . . . . 447--466
Angelamaria Cardone and
Liviu Gr. Ixaru and
Beatrice Paternoster Exponential fitting Direct Quadrature
methods for Volterra integral equations 467--480
Sandra Buhmiler and
Natasa Kreji\'c and
Zorana Luzanin Practical Quasi--Newton algorithms for
singular nonlinear systems . . . . . . . 481--502
Antonio Aric\`o and
Giuseppe Rodriguez A fast solver for linear systems with
displacement structure . . . . . . . . . 529--556
Marie-Laurence Mazure Dimension elevation for Chebyshevian
splines . . . . . . . . . . . . . . . . 1--16
Cristinel Mortici A new Stirling series as continued
fraction . . . . . . . . . . . . . . . . 17--26
Saeid Abbasbandy and
E. Shivanian A new analytical technique to solve
Fredholm's integral equations . . . . . 27--43
Marco Caliari and
Stefano De Marchi and
Alvise Sommariva and
Marco Vianello Padua2DM: fast interpolation and
cubature at the Padua points in
Matlab/Octave . . . . . . . . . . . . . 45--60
Gernot Pulverer and
Gustaf Söderlind and
Ewa Weinmüller Automatic grid control in adaptive BVP
solvers . . . . . . . . . . . . . . . . 61--92
Songxin Liang and
David J. Jeffrey An analytical approach for solving
nonlinear boundary value problems in
finite domains . . . . . . . . . . . . . 93--106
Carlo de Falco and
Eugene O'Riordan A parameter robust Petrov--Galerkin
scheme for advection-diffusion-reaction
equations . . . . . . . . . . . . . . . 107--127
Jalil Rashidinia and
Reza Mohammadi Tension spline solution of nonlinear
sine-Gordon equation . . . . . . . . . . 129--142
Jean-Paul Berrut A formula for the error of finite sinc
interpolation with an even number of
nodes . . . . . . . . . . . . . . . . . 143--157
Kassem Mustapha and
William McLean Piecewise-linear, discontinuous Galerkin
method for a fractional diffusion
equation . . . . . . . . . . . . . . . . 159--184
Stefan Paszkowski Untypical methods of convergence
acceleration . . . . . . . . . . . . . . 185--209
Majid Khan and
Mazhar Hussain Application of Laplace decomposition
method on semi-infinite domain . . . . . 211--218
Dominique Béréziat and
Isabelle Herlin Solving ill-posed image processing
problems using data assimilation . . . . 219--252
Bernard Bialecki and
Graeme Fairweather and
Andreas Karageorghis Matrix decomposition algorithms for
elliptic boundary value problems: a
survey . . . . . . . . . . . . . . . . . 253--295
Zhong-Zhi Bai and
Michele Benzi and
Fang Chen On preconditioned MHSS iteration methods
for complex symmetric linear systems . . 297--317
John C. Butcher and
Robert M. Corless and
Laureano Gonzalez-Vega and
Azar Shakoori Polynomial algebra for Birkhoff
interpolants . . . . . . . . . . . . . . 319--347
Guozhu Yao and
Anping Liao and
Xuefeng Duan Positive definite solution of the matrix
equation $X = Q + A^H (I \otimes X -
C)^\delta A$ . . . . . . . . . . . . . . 349--361
Katsuhisa Ozaki and
Takeshi Ogita and
Shiníchi Oishi An algorithm for automatically selecting
a suitable verification method for
linear systems . . . . . . . . . . . . . 363--382
Shujun Shen and
Fawang Liu and
Vo Anh Numerical approximations and solution
techniques for the space--time
Riesz--Caputo fractional
advection-diffusion equation . . . . . . 383--403
Giovanni Monegato and
Letizia Scuderi and
Marija P. Stani\'c Lubich convolution quadratures and their
application to problems described by
space--time BIEs . . . . . . . . . . . . 405--436
Chafik Allouch and
Paul Sablonni\`ere and
Driss Sbibih Solving Fredholm integral equations by
approximating kernels by spline
quasi-interpolants . . . . . . . . . . . 437--453
Roger B. Sidje and
Yousef Saad Rational approximation to the
Fermi--Dirac function with applications
in density functional theory . . . . . . 455--479
Kumar Dookhitram and
Ravindra Boojhawon and
Ashvin Gopaul and
Muddun Bhuruth A-posteriori residual bounds for
Arnoldi's methods for nonsymmetric
eigenvalue problems . . . . . . . . . . 481--495
Xiuhua Wang and
Chuanqing Gu and
Jisheng Kou Semilocal convergence of a multipoint
fourth-order super-Halley method in
Banach spaces . . . . . . . . . . . . . 497--516
S. Chen and
F. Liu and
V. Anh A novel implicit finite difference
method for the one-dimensional
fractional percolation equation . . . . 517--535
Chao Gu and
Detong Zhu A non-monotone line search
multidimensional filter-SQP method for
general nonlinear programming . . . . . 537--559
Xiangcheng You and
Hang Xu Analytical approximations for the
periodic motion of the Duffing system
with delayed feedback . . . . . . . . . 561--576
Xiaolin Luo and
Pavel V. Shevchenko A short tale of long tail integration 577--590
Guido Vanden Berghe and
Marnix Van Daele Symplectic exponentially-fitted
four-stage Runge--Kutta methods of the
Gauss type . . . . . . . . . . . . . . . 591--608
Zhenjun Shi and
Shengquan Wang Modified nonmonotone Armijo line search
for descent method . . . . . . . . . . . 1--25
Walter Gautschi The Lambert $W$-functions and some of
their integrals: a case study of
high-precision computation . . . . . . . 27--34
Yunong Zhang and
Lin Xiao and
Gongqin Ruan and
Zhan Li Continuous and discrete time Zhang
dynamics for time-varying $4$th root
finding . . . . . . . . . . . . . . . . 35--51
Siamak Mehrkanoon A direct variable step block multistep
method for solving general third-order
ODEs . . . . . . . . . . . . . . . . . . 53--66
Richard Baltensperger Barycentric rational interpolation with
asymptotically monitored poles . . . . . 67--81
Li-Li Zhang Two-step modulus-based matrix splitting
iteration method for linear
complementarity problems . . . . . . . . 83--99
Amir Haghighi and
S. Mohammad Hosseini On the stability of some second order
numerical methods for weak approximation
of Itô SDEs . . . . . . . . . . . . . . . 101--124
Parviz Darania and
Jafar Ahmadi Shali and
Karim Ivaz New computational method for solving
some $2$-dimensional nonlinear Volterra
integro-differential equations . . . . . 125--147
Ali Abdi and
Gholamreza Hojjati An extension of general linear methods 149--167
Marilena Mitrouli A sign test for detecting the
equivalence of Sylvester Hadamard
matrices . . . . . . . . . . . . . . . . 169--186
Sohail Nadeem and
Shehla Zaheer and
Tiegang Fang Effects of thermal radiation on the
boundary layer flow of a Jeffrey fluid
over an exponentially stretching surface 187--205
Xiangli Li and
Hongwei Liu and
Xiaojun Sun Feasible smooth method based on
Barzilai--Borwein method for stochastic
linear complementarity problem . . . . . 207--215
Andreas Potschka and
Filip Logist and
Jan F. Van Impe and
Hans Georg Bock Tracing the Pareto frontier in
bi-objective optimization problems by
ODE techniques . . . . . . . . . . . . . 217--233
Ioannis K. Argyros and
Sa\"\id Hilout On the solution of systems of equations
with constant rank derivatives . . . . . 235--253
Johnathan M. Bardsley and
John Goldes Regularization parameter selection and
an efficient algorithm for total
variation-regularized positron emission
tomography . . . . . . . . . . . . . . . 255--271
Guo-Feng Zhang and
Zhi-Ru Ren and
Yuan-Yuan Zhou On HSS-based constraint preconditioners
for generalized saddle-point problems 273--287
Stefania Tomasiello Numerical stability of DQ solutions of
wave problems . . . . . . . . . . . . . 289--312
Jukka T. Kemppainen and
Keijo Matti Ruotsalainen On the spline collocation method for the
single layer equation related to
time-fractional diffusion . . . . . . . 313--327
João Ribeiro Cardoso and
Ana F. Loureiro Iteration functions for $p$th roots of
complex numbers . . . . . . . . . . . . 329--356
Vasile Dragan and
Ivan G. Ivanov Computation of the stabilizing solution
of game theoretic Riccati equation
arising in stochastic $H^\infty$ control
problems . . . . . . . . . . . . . . . . 357--375
Fazlollah Soleymani Revisit of Jarratt method for solving
nonlinear equations . . . . . . . . . . 377--388
Xiaowu Li and
Chunlai Mu and
Jinwen Ma and
Linke Hou Fifth-order iterative method for finding
multiple roots of nonlinear equations 389--398
Alan Beardon and
Kathy Driver and
Kerstin Jordaan Zeros of polynomials embedded in an
orthogonal sequence . . . . . . . . . . 399--403
Juan Ruiz Álvarez and
Jinru Chen and
Zhilin Li The IIM in polar coordinates and its
application to electro capacitance
tomography problems . . . . . . . . . . 405--423
Emine Misirli and
Yusuf Gurefe Multiplicative Adams Bashforth--Moulton
methods . . . . . . . . . . . . . . . . 425--439
Xiuhua Wang and
Jisheng Kou and
Chuanqing Gu Semilocal convergence of a sixth-order
Jarratt method in Banach spaces . . . . 441--456
Roberto Andreani and
Joaquim J. Júdice and
José Mario Martínez and
Joao Patrício A projected-gradient interior-point
algorithm for complementarity problems 457--485
Abdullo Rakhmonovich Hayotov and
Gradimir V. Milovanovi\'c and
Kholmat Mahkambaevich Shadimetov On an optimal quadrature formula in the
sense of Sard . . . . . . . . . . . . . 487--510
Walter Gautschi Remark on ``New conjectured inequalities
for zeros of Jacobi polynomials'' by
Walter Gautschi, Numer. Algorithms
50:293--296 (2009) . . . . . . . . . . . 511--511
Lidia Aceto and
Cecilia Magherini and
Marco Marletta Shooting methods for a PT-symmetric
periodic eigenvalue problem . . . . . . 513--536
Guoqiang Wang and
Detong Zhu A unified kernel function approach to
primal-dual interior-point algorithms
for convex quadratic SDO . . . . . . . . 537--558
Hoa Thang Nguyen and
Annie Cuyt and
Oliver Salazar Celis Comonotone and coconvex rational
interpolation and approximation . . . . 1--21
Ioannis K. Argyros and
Sa\"\id Hilout Extending the applicability of the
Gauss--Newton method under average
Lipschitz-type conditions . . . . . . . 23--52
Da-Yan Liu and
Olivier Gibaru and
Wilfrid Perruquetti Error analysis of Jacobi derivative
estimators for noisy signals . . . . . . 53--83
Davood Rostamy and
K. Karimi Hypercomplex mathematics and HPM for the
time-delayed Burgers equation with
convergence analysis . . . . . . . . . . 85--101
Kaushik Mukherjee and
Srinivasan Natesan $\epsilon$-Uniform error estimate of
hybrid numerical scheme for singularly
perturbed parabolic problems with
interior layers . . . . . . . . . . . . 103--141
Haixiong Yu and
Jinping Zeng A cascadic multigrid method for a kind
of semilinear elliptic problem . . . . . 143--162
Yonina C. Eldar and
Deanna Needell Acceleration of randomized Kaczmarz
method via the Johnson--Lindenstrauss
Lemma . . . . . . . . . . . . . . . . . 163--177
Miodrag S. Petkovi\'c and
Mimica R. Milosevi\'c and
Dusan M. Milosevi\'c New higher-order methods for the
simultaneous inclusion of polynomial
zeros . . . . . . . . . . . . . . . . . 179--201
Joaquin Moreno and
A. Saiz Inverse functions of polynomials and its
applications to initialize the search of
solutions of polynomials and polynomial
systems . . . . . . . . . . . . . . . . 203--233
Talal Rahman Schwarz preconditioned CG algorithm for
the mortar finite element . . . . . . . 235--260
René Lamour and
Dagmar Monett A new algorithm for index determination
in DAEs using algorithmic
differentiation . . . . . . . . . . . . 261--292
Y. H. Qian and
S. K. Lai and
W. Zhang and
Y. Xiang Study on asymptotic analytical solutions
using HAM for strongly nonlinear
vibrations of a restrained cantilever
beam with an intermediate lumped mass 293--314
Saman Babaie-Kafaki and
Masoud Fatemi and
Nezam Mahdavi-Amiri Two effective hybrid conjugate gradient
algorithms based on modified BFGS
updates . . . . . . . . . . . . . . . . 315--331
Zhe Sun and
Jinping Zeng and
Hongru Xu Generalized Newton-iterative method for
semismooth equations . . . . . . . . . . 333--349
Alexandru Mihai Bica The numerical method of successive
interpolations for Fredholm functional
integral equations . . . . . . . . . . . 351--377
Pham Ky Anh and
Cao Van Chung Parallel regularized Newton method for
nonlinear ill-posed equations . . . . . 379--398
Marie-Laurence Mazure On a general new class of quasi
Chebyshevian splines . . . . . . . . . . 399--438
Celina Pestano-Gabino and
Concepción González-Concepción and
María Candelaria Gil-Fariña A note on the initial identification of
scalar component models . . . . . . . . 439--449
Daniel J. Bates and
Jonathan D. Hauenstein and
Andrew J. Sommese Efficient path tracking methods . . . . 451--459
Qunfeng Liu Two minimal positive bases based direct
search conjugate gradient methods for
computationally expensive functions . . 461--474
Payam Mokhtary and
Farideh Ghoreishi The $L^2$-convergence of the Legendre
spectral Tau matrix formulation for
nonlinear fractional integro
differential equations . . . . . . . . . 475--496
Weihong Bi and
Hongmin Ren and
Qingbiao Wu Convergence of the modified Halley's
method for multiple zeros under Hölder
continuous derivative . . . . . . . . . 497--512
Parviz Sargolzaei and
Fazlollah Soleymani Accurate fourteenth-order methods for
solving nonlinear equations . . . . . . 513--527
Björn S. Rüffer and
Fabian R. Wirth Stability verification for monotone
systems using homotopy algorithms . . . 529--543
Pan Cheng and
Jin Huang Extrapolation algorithms for solving
nonlinear boundary integral equations by
mechanical quadrature methods . . . . . 545--554
Hongmin Ren and
Ioannis K. Argyros and
Sa\"\id Hilout A derivative free iterative method for
solving least squares problems . . . . . 555--571
Jianguang Zhu and
Hongwei Liu and
Changhe Liu and
Weijie Cong A nonmonotone derivative-free algorithm
for nonlinear complementarity problems
based on the new generalized penalized
Fischer--Burmeister merit function . . . 573--591
Hongwei Liu and
Yakui Huang and
Xiangli Li Partial projected Newton method for a
class of stochastic linear
complementarity problems . . . . . . . . 593--618
Sanja Singer and
Sasa Singer and
Vedran Novakovi\'c and
Aleksandar Us\'cumli\'c and
Vedran Dunjko Novel modifications of parallel Jacobi
algorithms . . . . . . . . . . . . . . . 1--27
Wei Gao and
Hong Li and
Yang Liu and
Yong-Jun Jian An oscillation-free high order
TVD/CBC-based upwind scheme for
convection discretization . . . . . . . 29--50
Matthias Humet and
Marc Van Barel When is the Uvarov transformation
positive definite? . . . . . . . . . . . 51--62
Hua Qiang and
Kewei Liang Moving mesh method for problems with
blow-up on unbounded domains . . . . . . 63--77
Zhifeng Dai and
Fenghua Wen Global convergence of a modified
Hestenes--Stiefel nonlinear conjugate
gradient method with Armijo line search 79--93
Katsuhisa Ozaki and
Takeshi Ogita and
Shin'ichi Oishi and
Siegfried M. Rump Error-free transformations of matrix
multiplication by using fast routines of
matrix multiplication and its
applications . . . . . . . . . . . . . . 95--118
Gancho Tachev New estimates in Voronovskaja's theorem 119--129
Fevzi Erdogan and
Gabil M. Amiraliyev Fitted finite difference method for
singularly perturbed delay differential
equations . . . . . . . . . . . . . . . 131--145
Pengfei Wang and
Jianping Li and
Qian Li Computational uncertainty and the
application of a high-performance
multiple precision scheme to obtaining
the correct reference solution of Lorenz
equations . . . . . . . . . . . . . . . 147--159
Fred J. Hickernell and
Peter Kritzer and
Frances Y. Kuo and
Dirk Nuyens Weighted compound integration rules with
higher order convergence for all $N$ . . 161--183
Sunil Kumar and
Mukesh Kumar Parameter-robust numerical method for a
system of singularly perturbed initial
value problems . . . . . . . . . . . . . 185--195
Jalil Rashidinia and
Ali Tahmasebi Systems of nonlinear Volterra
integro-differential equations . . . . . 197--212
Rongxing Wu and
Ji Wang and
Jianke Du and
Yuantai Hu and
Hongping Hu Solutions of nonlinear thickness-shear
vibrations of an infinite isotropic
plate with the homotopy analysis method 213--226
Luis Bayón and
Jose M. Grau and
Maria M. Ruiz and
Pedro M. Suárez Cyclic coordinate descent in
hydrothermal nonsmooth problems . . . . 227--247
Hongwu Zhang and
Ting Wei An improved non-local boundary value
problem method for a Cauchy problem of
the Laplace equation . . . . . . . . . . 249--269
Zhiyong Si Second order modified method of
characteristics mixed defect-correction
finite element method for time dependent
Navier--Stokes problems . . . . . . . . 271--300
Yair Censor and
Aviv Gibali and
Simeon Reich Algorithms for the Split Variational
Inequality Problem . . . . . . . . . . . 301--323
Arthur Neuman and
Lothar Reichel and
Hassane Sadok Algorithms for range restricted
iterative methods for linear discrete
ill-posed problems . . . . . . . . . . . 325--331
Samuel N. Jator and
Jiang Li An algorithm for second order initial
and boundary value problems with an
automatic error estimate based on a
third derivative method . . . . . . . . 333--346
Phan Thanh An and
Le Hong Trang A parallel algorithm based on convexity
for the computing of Delaunay
tessellation . . . . . . . . . . . . . . 347--357
Shengfeng Zhu and
Hancan Zhu and
Qingbiao Wu and
Yasir Khan An adaptive algorithm for the
Thomas--Fermi equation . . . . . . . . . 359--372
Waheed K. Zahra and
Samah M. Elkholy Quadratic spline solution for boundary
value problem of fractional order . . . 373--391
Awad H. Al-Mohy A more accurate Briggs method for the
logarithm . . . . . . . . . . . . . . . 393--402
Jan Baldeaux and
Josef Dick and
Gunther Leobacher and
Dirk Nuyens and
Friedrich Pillichshammer Efficient calculation of the worst-case
error and (fast) component-by-component
construction of higher order polynomial
lattice rules . . . . . . . . . . . . . 403--431
Martin Fuhry and
Lothar Reichel A new Tikhonov regularization method . . 433--445
Joshua L. Willis Acceleration of generalized
hypergeometric functions through precise
remainder asymptotics . . . . . . . . . 447--485
Anne Kværnò and
J. H. Verner Subquadrature expansions for TSRK
methods . . . . . . . . . . . . . . . . 487--504
Hongmin Ren and
Ioannis K. Argyros Improved local analysis for a certain
class of iterative methods with cubic
convergence . . . . . . . . . . . . . . 505--521
Masoud Ahookhosh and
Keyvan Amini An efficient nonmonotone trust-region
method for unconstrained optimization 523--540
Arshad Khan and
Talat Sultana Non-polynomial quintic spline solution
for the system of third order
boundary-value problems . . . . . . . . 541--559
Zhi-Hao Cao A note on spectrum analysis of
augmentation block Schur complement
preconditioners . . . . . . . . . . . . 561--569
Tatiana Paraskevova Chernogorova and
Beata Stehlíková A comparison of asymptotic analytical
formulae with finite-difference
approximations for pricing zero coupon
bond . . . . . . . . . . . . . . . . . . 571--588
Behrouz Kheirfam Simplified infeasible interior-point
algorithm for SDO using full
Nesterov--Todd step . . . . . . . . . . 589--606
Stanis\law Lewanowicz and
Pawel Wo\'zny and
Pawel Keller Polynomial approximation of rational
Bézier curves with constraints . . . . . 607--622
Lin Zheng and
Chuanqing Gu Recurrence relations for semilocal
convergence of a fifth-order method in
Banach spaces . . . . . . . . . . . . . 623--638
Michela Redivo-Zaglia and
Giuseppe Rodriguez \tt smt: a Matlab toolbox for structured
matrices . . . . . . . . . . . . . . . . 639--659
Angelamaria Cardone and
Zdzis\law Jackiewicz Explicit Nordsieck methods with
quadratic stability . . . . . . . . . . 1--25
Somayyeh Fazeli and
Gholamreza Hojjati and
Sedaghat Shahmorad Multistep Hermite collocation methods
for solving Volterra Integral Equations 27--50
Herbert Dueñas and
Edmundo J. Huertas and
Francisco Marcellán Asymptotic properties of
Laguerre--Sobolev type orthogonal
polynomials . . . . . . . . . . . . . . 51--73
Kun Wang and
Zhiyong Si and
Yanfang Yang Stabilized finite element method for the
viscoelastic Oldroyd fluid flows . . . . 75--100
Isabella Cravero and
Giovanna Pittaluga and
Laura Sacripante An algorithm for solving linear Volterra
integro-differential equations . . . . . 101--114
Karel J. in 't Hout and
Kim Volders Stability of central finite difference
schemes for the Heston PDE . . . . . . . 115--133
Yang Zhang and
Kairong Wang A new general form of conjugate gradient
methods with guaranteed descent and
strong global convergence properties . . 135--152
Fu-Rong Lin and
Chi-Xi Wang BTTB preconditioners for BTTB systems 153--167
Germana Landi and
Elena Loli Piccolomini An improved Newton projection method for
nonnegative deblurring of
Poisson-corrupted images with Tikhonov
regularization . . . . . . . . . . . . . 169--188
Gérard Meurant The computation of isotropic vectors . . 193--204
Naoki Osada The early history of convergence
acceleration methods . . . . . . . . . . 205--221
Francisco Marcellán and
Natalia C. Pinzón-Cortés $(1, 1)-q$-coherent pairs . . . . . . . 223--239
Marie-Laurence Mazure Polynomial splines as examples of
Chebyshevian splines . . . . . . . . . . 241--262
Jose Mario Martínez and
Leandro da Fonseca Prudente Handling infeasibility in a large-scale
nonlinear optimization algorithm . . . . 263--277
Carmen Campos and
Jose E. Roman Strategies for spectrum slicing based on
restarted Lanczos methods . . . . . . . 279--295
Ana Filipa Loureiro and
Pascal Maroni Polynomial sequences associated with the
classical linear functionals . . . . . . 297--314
Richard M. Slevinsky and
Hassan Safouhi A comparative study of numerical
steepest descent, extrapolation, and
sequence transformation methods in
computing semi-infinite integrals . . . 315--337
Thomas Kilian Huckle and
Matous Sedlacek Tikhonov--Phillips regularization with
operator dependent seminorms . . . . . . 339--353
Mahmoud H. Annaby and
Rashad M. Asharabi Computing eigenvalues of
Sturm--Liouville problems by Hermite
interpolations . . . . . . . . . . . . . 355--367
Xiuhua Wang and
Jisheng Kou Semilocal convergence of a modified
multi-point Jarratt method in Banach
spaces under general continuity
condition . . . . . . . . . . . . . . . 369--390
Basarab Mate\"\i and
Sylvain Meignen Analysis of a class of nonlinear and
non-separable multiscale representations 391--418
S. K. Parhi and
D. K. Gupta Convergence of a third order method for
fixed points in Banach spaces . . . . . 419--434
Ai-fan Ling and
Cheng-xian Xu A new discrete filled function method
for solving large scale max-cut problems 435--461
Sandile Sydney Motsa and
Stanford Shateyi and
Gerald T. Marewo and
Precious Sibanda An improved spectral homotopy analysis
method for MHD flow in a semi-porous
channel . . . . . . . . . . . . . . . . 463--481
Aili Yang and
Yujiang Wu and
Yongqing Wu and
Dawei Ren Bi-parameter incremental unknowns ADI
iterative methods for elliptic problems 483--499
Shifang Yuan and
Anping Liao and
Guozhu Yao Parameterized inverse singular value
problem for anti-bisymmetric matrices 501--522
Thierry Gensane Interpolation on the hypersphere with
Thiele type rational interpolants . . . 523--529
Silvia Noschese and
Lothar Reichel Inverse problems for regularization
matrices . . . . . . . . . . . . . . . . 531--544
Wies\law Ple\'sniak Nearly optimal meshes in subanalytic
sets . . . . . . . . . . . . . . . . . . 545--553
Sotirios E. Notaris The error norm of quadrature formulae 555--578
M. R. Capobianco and
G. Criscuolo Convergence and stability of a new
quadrature rule for evaluating Hilbert
transform . . . . . . . . . . . . . . . 579--592
Woula Themistoclakis Uniform approximation on $ [ - 1, 1] $
via discrete de la Vallée Poussin means 593--612
Marco Gaviano and
Daniela Lera Properties and numerical testing of a
parallel global optimization algorithm 613--629
Ilario Mazzieri and
Francesca Rapetti Dispersion analysis of triangle-based
spectral element methods for elastic
wave propagation . . . . . . . . . . . . 631--650
Marco Donatelli On nondecreasing sequences of
regularization parameters for
nonstationary iterated Tikhonov . . . . 651--668
K. Castillo and
L. E. Garza and
F. Marcellán Zeros of Sobolev orthogonal polynomials
on the unit circle . . . . . . . . . . . 669--681
L. Dykes and
L. Reichel On the reduction of Tikhonov
minimization problems and the
construction of regularization matrices 683--696
Siegfried M. Rump Fast interval matrix multiplication . . 1--34
Torsten Linß and
Goran Radojev and
Helena Zarin Approximation of singularly perturbed
reaction-diffusion problems by quadratic
$ C^1 $-splines . . . . . . . . . . . . 35--55
Zhang Lipu and
Bai Yanqin and
Xu Yinghong A full-Newton step infeasible
interior-point algorithm for monotone
LCP based on a locally-kernel function 57--81
Kamal Shanazari and
Mohammad Hosami Adapting nodes in three dimensional
irregular regions for meshless-type
methods . . . . . . . . . . . . . . . . 83--103
Peng Xia and
Shugong Zhang and
Na Lei The Neville-like form of the Fitzpatrick
algorithm for rational interpolation . . 105--120
Ping-Fan Dai and
Yao-Tang Li and
Chang-Jing Lu Error bounds for linear complementarity
problems for SB-matrices . . . . . . . . 121--139
Amir Haghighi and
S. Mohammad Hosseini A class of split-step balanced methods
for stiff stochastic differential
equations . . . . . . . . . . . . . . . 141--162
Nathalie Verdi\`ere and
Lilianne Denis-Vidal and
Ghislaine Joly-Blanchard A new method for estimating derivatives
based on a distribution approach . . . . 163--186
Ping-Fan Dai and
Yao-Tang Li and
Chang-Jing Lu Erratum to: Error bounds for linear
complementarity problems for SB-matrices 187--187
Bernhard Beckermann and
Daniel Bessis and
Luca Perotti and
Daniel Vrinceanu Computing high precision Matrix Padé
approximants . . . . . . . . . . . . . . 189--208
Catterina Dagnino and
Paola Lamberti and
Sara Remogna B-spline bases for unequally smooth
quadratic spline spaces on non-uniform
criss-cross triangulations . . . . . . . 209--222
Luca Bergamaschi and
Ángeles Martínez Banded target matrices and recursive
FSAI for parallel preconditioning . . . 223--241
Akiko Fukuda and
Yusaku Yamamoto and
Masashi Iwasaki and
Emiko Ishiwata and
Yoshimasa Nakamura Error analysis for matrix eigenvalue
algorithm based on the discrete hungry
Toda equation . . . . . . . . . . . . . 243--260
Munehiro Nagata and
Masashi Iwasaki and
Yoshimasa Nakamura Error analysis of the mdLVs algorithm
for computing bidiagonal singular values 261--274
Walter Gautschi Numerical integration over the square in
the presence of algebraic/logarithmic
singularities with an application to
aerodynamics . . . . . . . . . . . . . . 275--290
Annie Cuyt and
Irem Yaman and
Bayram Ali Ibrahimoglu and
Brahim Benouahmane Radial orthogonality and Lebesgue
constants on the disk . . . . . . . . . 291--313
Luca Gemignani and
Vanni Noferini Modifications of Newton's method for
even-grade palindromic polynomials and
other twined polynomials . . . . . . . . 315--329
R. D'Ambrosio and
E. Esposito and
B. Paternoster General linear methods for $ y'' =
f(y(t)) $ . . . . . . . . . . . . . . . 331--349
Bernard Bialecki A fourth order finite difference method
for the Dirichlet biharmonic problem . . 351--375
André Draux and
Mohamed Sadik Generalized $ q d $ algorithm for block
band matrices . . . . . . . . . . . . . 377--396
Ioannis K. Argyros and
Sa\"\id Hilout Secant-type methods and nondiscrete
induction . . . . . . . . . . . . . . . 397--412
Lin Zheng and
Chuanqing Gu Semilocal convergence of a sixth-order
method in Banach spaces . . . . . . . . 413--427
Yuanyuan Liu and
Yongkui Zou Numerical computation of connecting
orbits on a manifold . . . . . . . . . . 429--464
Gunar Matthies and
Lutz Tobiska A two-level local projection
stabilisation on uniformly refined
triangular meshes . . . . . . . . . . . 465--478
A. Valinejad and
S. Mohammad Hosseini A stepsize control algorithm for SDEs
with small noise based on stochastic
Runge--Kutta Maruyama methods . . . . . 479--498
Sandile S. Motsa and
Precious Sibanda and
Gerald T. Marewo On a new analytical method for flow
between two inclined walls . . . . . . . 499--514
Hossein Vosoughi and
Elyas Shivanian and
Saeid Abbasbandy Unique and multiple PHAM series
solutions of a class of nonlinear
reactive transport model . . . . . . . . 515--524
Kassem Mustapha and
Jaafar AlMutawa A finite difference method for an
anomalous sub-diffusion equation, theory
and applications . . . . . . . . . . . . 525--543
Mohamed K. El-Daou and
Khaled M. Al-Hamad Computation of the canonical polynomials
and applications to some optimal control
problems . . . . . . . . . . . . . . . . 545--566
Janak Raj Sharma and
Rajni Sharma Modified Chebyshev--Halley type method
and its variants for computing multiple
roots . . . . . . . . . . . . . . . . . 567--578
Eugene O'Riordan and
Jason Quinn Parameter-uniform numerical methods for
some singularly perturbed nonlinear
initial value problems . . . . . . . . . 579--611
Robert A. Van Gorder Control of error in the homotopy
analysis of semi-linear elliptic
boundary value problems . . . . . . . . 613--629
Sergio Amat and
Sonia Busquier and
María José Legaz and
Fernando Manzano \ldots Reciprocal polynomial extrapolation vs
Richardson extrapolation for singular
perturbed boundary problems . . . . . . 631--647
Walter Gautschi Sub-range Jacobi polynomials . . . . . . 649--657
Behrouz Kheirfam Primal-dual interior-point algorithm for
semidefinite optimization based on a new
kernel function with trigonometric
barrier term . . . . . . . . . . . . . . 659--680
Hani Akbari and
Asghar Kerayechian Coiflet--Galerkin method for solving
second order BVPs with variable
coefficients in three dimensions . . . . 681--698
Jalil Rashidinia and
Khosro Maleknejad and
Narges Taheri Sinc--Galerkin method for numerical
solution of the Bratu's problems . . . . 1--11
Samuel N. Jator and
S. Swindell and
R. French Trigonometrically fitted block Numerov
type method for $ y'' = f (x, y, y') $ 13--26
Xin Luo and
Jin Huang and
Chuan-Long Wang Splitting extrapolation algorithms for
solving the boundary integral equations
of anisotropic Darcy's equation on
polygons by mechanical quadrature
methods . . . . . . . . . . . . . . . . 27--43
Brian A. Hagler Anchoring and steering Gaussian
quadrature for positive definite strong
moment functionals . . . . . . . . . . . 45--58
Zhong-Zhi Bai and
Li-Li Zhang Modulus-based synchronous two-stage
multisplitting iteration methods for
linear complementarity problems . . . . 59--77
Le Han and
Shujun Bi and
Shaohua Pan Nonsingularity of FB system and
constraint nondegeneracy in semidefinite
programming . . . . . . . . . . . . . . 79--113
Ioannis K. Argyros and
Sa\"\id Hilout Estimating upper bounds on the limit
points of majorizing sequences for
Newton's method . . . . . . . . . . . . 115--132
Philip W. Sharp and
Mohammad A. Qureshi and
Kevin R. Grazier High order explicit Runge--Kutta Nyström
pairs . . . . . . . . . . . . . . . . . 133--148
Wanyou Cheng and
Zixin Chen Nonmonotone spectral method for
large-scale symmetric nonlinear
equations . . . . . . . . . . . . . . . 149--162
Gérard Meurant and
Petr Tichý On computing quadrature-based bounds for
the $A$-norm of the error in conjugate
gradients . . . . . . . . . . . . . . . 163--191
Xiaojie Wang and
Siqing Gan A Runge--Kutta type scheme for nonlinear
stochastic partial differential
equations with multiplicative trace
class noise . . . . . . . . . . . . . . 193--223
Peter Benner and
Patrick Kürschner and
Jens Saak Efficient handling of complex shift
parameters in the low-rank Cholesky
factor ADI method . . . . . . . . . . . 225--251
Ion Pavaloiu and
Emil Catinas On an Aitken--Newton type method . . . . 253--260
Katrijn Frederix and
Steven Delvaux and
Marc Van Barel An algorithm for computing the
eigenvalues of block companion matrices 261--287
Xinzhong Cai and
Guoqiang Wang and
Zihou Zhang Complexity analysis and numerical
implementation of primal-dual
interior-point methods for convex
quadratic optimization based on a finite
barrier . . . . . . . . . . . . . . . . 289--306
Janak Raj Sharma and
Rangan Kumar Guha and
Rajni Sharma An efficient fourth order
weighted-Newton method for systems of
nonlinear equations . . . . . . . . . . 307--323
Xuanchun Dong A trigonometric integrator
pseudospectral discretization for the
$N$-coupled nonlinear Klein--Gordon
equations . . . . . . . . . . . . . . . 325--336
Tao Fan and
Xiangcheng You Optimal homotopy analysis method for
nonlinear differential equations in the
boundary layer . . . . . . . . . . . . . 337--354
Jiyong Li and
Xinyuan Wu Adapted Falkner-type methods solving
oscillatory second-order differential
equations . . . . . . . . . . . . . . . 355--381
Mingrong Cui Convergence analysis of high-order
compact alternating direction implicit
schemes for the two-dimensional time
fractional diffusion equation . . . . . 383--409
Reza Zolfaghari and
Abdollah Shidfar Solving a parabolic PDE with nonlocal
boundary conditions using the Sinc
method . . . . . . . . . . . . . . . . . 411--427
Xiaofeng Wang and
Tie Zhang A family of Steffensen type methods with
seventh-order convergence . . . . . . . 429--444
Chafik Allouch and
Paul Sablonni\`ere and
Driss Sbibih A collocation method for the numerical
solution of a two dimensional integral
equation using a quadratic spline
quasi-interpolant . . . . . . . . . . . 445--468
M. Khorramizadeh and
N. Mahdavi-Amiri An efficient algorithm for sparse null
space basis problem using ABS methods 469--485
Germana Landi and
Elena Loli Piccolomini NPTool: a Matlab software for
nonnegative image restoration with
Newton projection methods . . . . . . . 487--504
Faezeh Toutounian and
Nasser Akhoundi Recursive self preconditioning method
based on Schur complement for Toeplitz
matrices . . . . . . . . . . . . . . . . 505--525
Ghazala Akram and
Hamood Ur Rehman Numerical solution of eighth order
boundary value problems in reproducing
kernel space . . . . . . . . . . . . . . 527--540
Guido Ala and
Elisa Francomano A marching-on in time meshless kernel
based solver for full-wave
electromagnetic simulation . . . . . . . 541--558
Daniel Bessis and
Luca Perotti and
Daniel Vrinceanu Noise in the complex plane: open
problems . . . . . . . . . . . . . . . . 559--569
Christos Kravvaritis and
Marilena Mitrouli On the complete pivoting conjecture for
Hadamard matrices: further progress and
a good pivots property . . . . . . . . . 571--582
Maria João Rodrigues and
José Matos A tau method for nonlinear dynamical
systems . . . . . . . . . . . . . . . . 583--600
S. P. Oliveira and
A. Ruiz de Zárate and
A. C. da Rocha and
D. G. Alfaro Vigo A note on the alternate trapezoidal
quadrature method for Fredholm integral
eigenvalue problems . . . . . . . . . . 601--614
Claudio Estatico and
Fabio Di Benedetto Shift-invariant approximations of
structured shift-variant blurring
matrices . . . . . . . . . . . . . . . . 615--635
V. Kalantzis and
C. Bekas and
A. Curioni and
E. Gallopoulos Accelerating data uncertainty
quantification by solving linear systems
with multiple right-hand sides . . . . . 637--653
Zhong-Zhi Bai and
Fang Chen and
Zeng-Qi Wang Additive block diagonal preconditioning
for block two-by-two linear systems of
skew-Hamiltonian coefficient matrices 655--675
Dingwen Deng and
Chengjian Zhang Analysis of a fourth-order compact ADI
method for a linear hyperbolic equation
with three spatial variables . . . . . . 1--26
M. M. Tharwat and
A. H. Bhrawy and
Ahmet Yildirim Numerical computation of eigenvalues of
discontinuous Sturm--Liouville problems
with parameter dependent boundary
conditions using sinc method . . . . . . 27--48
Guangqing Long and
Weifen Wu and
Gnaneshwar Nelakanti A fast multiscale Kantorovich method for
weakly singular integral equations . . . 49--63
Lothar Reichel and
Giuseppe Rodriguez Old and new parameter choice rules for
discrete ill-posed problems . . . . . . 65--87
Marek J. \'Smieta\'nski A perturbed version of an inexact
generalized Newton method for solving
nonsmooth equations . . . . . . . . . . 89--106
S\lAwomir Milewski Selected computational aspects of the
meshless finite difference method . . . 107--126
Sébastien Duminil A parallel implementation of the CMRH
method for dense linear systems . . . . 127--142
Xindong Zhang and
Juan Liu and
Juan Wen and
Bo Tang and
Yinnian He Analysis for one-dimensional
time-fractional Tricomi-type equations
by LDG methods . . . . . . . . . . . . . 143--164
F. A. Costabile and
E. Longo $ \Delta_h $-Appell sequences and
related interpolation problem . . . . . 165--186
Luisa D'Amore and
Rosanna Campagna and
Valeria Mele and
Almerico Murli ReLaTIve. An ANSI C90 software package
for the \sc Real \sc Laplace \sc
Transform \sc In\sc version . . . . . . 187--211
Kendall Atkinson and
Olaf Hansen and
David Chien A spectral method for parabolic
differential equations . . . . . . . . . 213--237
Ben Segal and
M. A. Iwen Improved sparse Fourier approximation
results: faster implementations and
stronger guarantees . . . . . . . . . . 239--263
Chang-Ming Chen and
F. Liu and
I. Turner and
V. Anh and
Y. Chen Numerical approximation for a
variable-order nonlinear
reaction-subdiffusion equation . . . . . 265--290
Jun Zhang and
Yu-Fei Yang Nonlinear multigrid method for solving
the anisotropic image denoising models 291--315
R. Hiptmair and
G. Phillips and
G. Sinha Multiple point evaluation on combined
tensor product supports . . . . . . . . 317--337
Kristopher L. Kuhlman Review of inverse Laplace transform
algorithms for Laplace-space numerical
approaches . . . . . . . . . . . . . . . 339--355
Ji-Teng Jia and
Yao-Lin Jiang Symbolic algorithm for solving cyclic
penta-diagonal linear systems . . . . . 357--367
Walter Gautschi Repeated modifications of orthogonal
polynomials by linear divisors . . . . . 369--383
S. Asadi and
H. Mansouri Polynomial interior-point algorithm for
$ P_*(\kappa)(\kappa) $ horizontal
linear complementarity problems . . . . 385--398
Sandile S. Motsa and
Precious Sibanda Some modifications of the
quasilinearization method with
higher-order convergence for solving
nonlinear BVPs . . . . . . . . . . . . . 399--417
Lina Yue and
Yongjian Yang A new integral filter algorithm for
unconstrained global optimization . . . 419--430
Akbar Mohebbi and
Mostafa Abbaszadeh Compact finite difference scheme for the
solution of time fractional
advection-dispersion equation . . . . . 431--452
Phillip Barry Properties of an $h$-Bernstein-like
basis and curves . . . . . . . . . . . . 453--481
Mathieu Huard and
Nathalie Sprynski and
Nicolas Szafran and
Luc Biard Reconstruction of quasi developable
surfaces from ribbon curves . . . . . . 483--506
Pascal Maroni and
Zélia da Rocha Connection coefficients for orthogonal
polynomials: symbolic computations,
verifications and demonstrations in the
Mathematica language . . . . . . . . . . 507--520
Shan-Shan Wang and
Guo-Feng Zhang Preconditioned AHSS iteration method for
singular saddle point problems . . . . . 521--535
Hassan Majidian Numerical approximation of highly
oscillatory integrals on semi-finite
intervals by steepest descent method . . 537--548
Jovana Dzuni\'c On efficient two-parameter methods for
solving nonlinear equations . . . . . . 549--569
Luisa D'Amore and
Rosanna Campagna and
Valeria Mele and
Almerico Murli and
Mariarosaria Rizzardi Erratum to: ReLaTIve. An ANSI C90
software package for the \sc Real \sc
Laplace \sc Transform \sc In\sc version 571--571
Rafal Nowak A method of convergence acceleration of
some continued fractions II . . . . . . 573--600
Iwona Skalna Algorithm for min-range multiplication
of affine forms . . . . . . . . . . . . 601--614
Christian Mollet and
Roland Pabel Efficient application of nonlinear
stationary operators in adaptive wavelet
methods --- the isotropic case . . . . . 615--643
Gian Mario Besana and
Sandra Di Rocco and
Jonathan D. Hauenstein and
Andrew J. Sommese and
Charles W. Wampler Cell decomposition of almost smooth real
algebraic surfaces . . . . . . . . . . . 645--678
Sergey Khashin Butcher algebras for Butcher systems . . 679--689
Xiangtuan Xiong and
Xiaochen Zhao and
Junxia Wang Spectral Galerkin method and its
application to a Cauchy problem of
Helmholtz equation . . . . . . . . . . . 691--711
F. F. Ngwane and
S. N. Jator Block hybrid method using trigonometric
basis for initial value problems with
oscillating solutions . . . . . . . . . 713--725
Tiexiang Li and
Peter Chang-Yi Weng and
Eric King-wah Chu and
Wen-Wei Lin Large-scale Stein and Lyapunov
equations, Smith method, and
applications . . . . . . . . . . . . . . 727--752
Lin Mu and
Junping Wang and
Yanqiu Wang and
Xiu Ye A computational study of the weak
Galerkin method for second-order
elliptic equations . . . . . . . . . . . 753--777
Jinghui Liu and
Changfeng Ma A nonmonotone trust region method with
new inexact line search for
unconstrained optimization . . . . . . . 1--20
Masoud Ahookhosh and
Keyvan Amini and
Somayeh Bahrami Two derivative-free projection
approaches for systems of large-scale
nonlinear monotone equations . . . . . . 21--42
Antonios Danelakis and
Marilena Mitrouli and
Dimitrios Triantafyllou Blind image deconvolution using a banded
matrix method . . . . . . . . . . . . . 43--72
Michele Benzi and
Zhen Wang A parallel implementation of the
modified augmented Lagrangian
preconditioner for the incompressible
Navier--Stokes equations . . . . . . . . 73--84
Paulo B. Vasconcelos and
Filomena D. d'Almeida and
Jose E. Roman A Jacobi--Davidson type method with a
correction equation tailored for
integral operators . . . . . . . . . . . 85--103
Xiuhua Wang and
Jisheng Kou Semilocal convergence and $R$-order for
modified Chebyshev--Halley methods . . . 105--126
Temur Jangveladze and
Zurab Kiguradze and
Beny Neta and
Simeon Reich Finite element approximations of a
nonlinear diffusion model with memory 127--155
F. A. Costabile and
F. Dell'Accio and
F. Di Tommaso Complementary Lidstone interpolation on
scattered data sets . . . . . . . . . . 157--180
Chia-Tche Chang and
Vincent D. Blondel An experimental study of approximation
algorithms for the joint spectral radius 181--202
Mohamed K. El-Daou and
Suad Sh. Al Enezi and
Mona M. Mekkaoui Correction of eigenvalues estimated by
the Legendre--Gauss Tau method . . . . . 203--220
Yves Courvoisier and
Martin J. Gander Optimization of Schwarz waveform
relaxation over short time windows . . . 221--243
Ning Zheng and
Jun-Feng Yin Accelerated modulus-based matrix
splitting iteration methods for linear
complementarity problem . . . . . . . . 245--262
J. Baglama and
L. Reichel and
D. Richmond An augmented LSQR method . . . . . . . . 263--293
Chun-Hua Guo Monotone convergence of Newton-like
methods for $M$-matrix algebraic Riccati
equations . . . . . . . . . . . . . . . 295--309
Chao-Ping Chen Unified treatment of several asymptotic
formulas for the gamma function . . . . 311--319
Ming Gu and
Lek-Heng Lim and
Cinna Julie Wu ParNes: a rapidly convergent algorithm
for accurate recovery of sparse and
approximately sparse signals . . . . . . 321--347
Bernard Bialecki and
Andreas Karageorghis Modified nodal cubic spline collocation
for three-dimensional variable
coefficient second order partial
differential equations . . . . . . . . . 349--383
Calin-Ioan Gheorghiu Laguerre collocation solutions to
boundary layer type problems . . . . . . 385--401
Lei Feng and
Weiping Wang Two families of approximations for the
gamma function . . . . . . . . . . . . . 403--416
Walter Gautschi Neutralizing nearby singularities in
numerical quadrature . . . . . . . . . . 417--425
A. Karageorghis Efficient Trefftz collocation algorithms
for elliptic problems in circular
domains . . . . . . . . . . . . . . . . 427--453
Zhuohua Peng The reflexive least squares solutions of
the matrix equation $ A_1 X_1 B_1 + A_2
X_2 B_2 + \cdots + A_l X_l B_l = C $
with a submatrix constraint . . . . . . 455--480
John W. Pearson A radial basis function method for
solving PDE-constrained optimization
problems . . . . . . . . . . . . . . . . 481--506
Fang Chen and
Qing-Quan Liu On semi-convergence of modified HSS
iteration methods . . . . . . . . . . . 507--518
Michael Daniel Samson and
Huiyuan Li and
Li-Lian Wang A new triangular spectral element method
I: implementation and analysis on a
triangle . . . . . . . . . . . . . . . . 519--547
I. K. Argyros and
D. González Unified majorizing sequences for
Traub-type multipoint iterative
procedures . . . . . . . . . . . . . . . 549--565
Steffen Börm and
Jessica Gördes Low-rank approximation of integral
operators by using the Green formula and
quadrature . . . . . . . . . . . . . . . 567--592
S. Abbasbandy and
M. Jalili Determination of optimal
convergence-control parameter value in
homotopy analysis method . . . . . . . . 593--605
Igor Boglaev Uniform quadratic convergence of
monotone iterates for nonlinear
singularly perturbed parabolic problems 607--631
Kristina Mallory and
Robert A. Van Gorder Control of error in the homotopy
analysis of solutions to the Zakharov
system with dissipation . . . . . . . . 633--657
Qingbiao Wu and
Minhong Chen Convergence analysis of modified
Newton--HSS method for solving systems
of nonlinear equations . . . . . . . . . 659--683
José Antonio Ezquerro and
Angela Grau and
Miquel Grau-Sánchez and
Miguel Ángel Hernández On the efficiency of two variants of
Kurchatov's method for solving nonlinear
systems . . . . . . . . . . . . . . . . 685--698
Daniela Inoan and
Ioan Rasa A recursive algorithm for Bernstein
operators of second kind . . . . . . . . 699--706
Jianfei Huang and
Yifa Tang and
Luis Vázquez and
Jiye Yang Two finite difference schemes for time
fractional diffusion-wave equation . . . 707--720
Yunong Zhang and
Zhen Li and
Dongsheng Guo and
Zhende Ke and
Pei Chen Discrete-time ZD, GD and NI for solving
nonlinear time-varying equations . . . . 721--740
Ping-Fan Dai and
Chang-Jing Lu and
Yao-Tang Li New error bounds for the linear
complementarity problem with an $ S B
$-matrix . . . . . . . . . . . . . . . . 741--757
Walter Gautschi Erratum to: Numerical integration over
the square in the presence of
algebraic/logarithmic singularities with
an application to aerodynamics . . . . . 759--759
Chun-ming Tang and
Shuai Liu and
Jin-bao Jian and
Jian-ling Li A feasible SQP--GS algorithm for
nonconvex, nonsmooth constrained
optimization . . . . . . . . . . . . . . 1--22
Anastasia Cornelio and
Elena Loli Piccolomini and
James G. Nagy Constrained numerical optimization
methods for blind deconvolution . . . . 23--42
Zhong-Zhi Bai and
Yu-Hong Ran and
Li Yuan On approximated ILU and UGS
preconditioning methods for linearized
discretized steady incompressible
Navier--Stokes equations . . . . . . . . 43--68
Jurjen Duintjer Tebbens and
Gérard Meurant Prescribing the behavior of early
terminating GMRES and Arnoldi iterations 69--90
Martine Brilleaud and
Marie-Laurence Mazure Design with $L$-splines . . . . . . . . 91--124
Jingjun Zhao and
Yan Fan and
Yang Xu Delay-dependent stability analysis of
symmetric boundary value methods for
linear delay integro-differential
equations . . . . . . . . . . . . . . . 125--151
Diyashvir K. R. Babajee and
Alicia Cordero and
Fazlollah Soleymani and
Juan R. Torregrosa On improved three-step schemes with high
efficiency index and their dynamics . . 153--169
H. Saberi Nik and
S. Effati and
S. S. Motsa and
M. Shirazian Spectral homotopy analysis method and
its convergence for solving a class of
nonlinear optimal control problems . . . 171--194
Radoslav Valkov Fitted finite volume method for a
generalized Black--Scholes equation
transformed on finite interval . . . . . 195--220
Xiaojian Zhou and
Xin Chen and
Yongzhong Song On the convergence radius of the
modified Newton method for multiple
roots under the center-Hölder condition 221--232
Yi-gui Ou and
Wei Ma A modified ODE-based algorithm for
unconstrained optimization problems . . 233--250
Bo Dong and
Matthew M. Lin and
Moody T. Chu Nonnegative rank factorization --- a
heuristic approach via rank reduction 251--274
Davoud Mirzaei and
Robert Schaback Solving heat conduction problems by the
Direct Meshless Local Petrov--Galerkin
(DMLPG) method . . . . . . . . . . . . . 275--291
A. Melman Implementation of Pellet's theorem . . . 293--304
Tao-Wen Liu A regularized limited memory BFGS method
for nonconvex unconstrained minimization 305--323
Djilali Behloul and
Sui Sun Cheng Polynomial solutions of a nonlinear
difference equation . . . . . . . . . . 325--337
Xiuhua Wang and
Dongyang Shi and
Jisheng Kou Convergence analysis for a family of
improved super-Halley methods under
general convergence condition . . . . . 339--354
Khosrow Maleknejad and
Iraj Najafi Khalilsaraye and
Mahdieh Alizadeh On the solution of the
integro-differential equation with an
integral boundary condition . . . . . . 355--374
Kevin Burrage and
Chus Sanz-Serna and
Zdzis\law Jackiewicz Preface . . . . . . . . . . . . . . . . 375--376
Angelamaria Cardone and
Zdzis\law Jackiewicz and
Adrian Sandu and
Hong Zhang Extrapolation-based implicit-explicit
general linear methods . . . . . . . . . 377--399
R. P. K. Chan and
N. Razali Smoothing effects on the IMR and ITR . . 401--420
Dajana Conte and
Raffaele D'Ambrosio and
Giuseppe Izzo Natural Volterra Runge--Kutta methods 421--445
Piers W. Lawrence and
Robert M. Corless Stability of rootfinding for barycentric
Lagrange interpolants . . . . . . . . . 447--464
Jiyong Li and
Xinyuan Wu Error analysis of explicit TSERKN
methods for highly oscillatory systems 465--483
Adrian Sandu A new look at the chemical master
equation . . . . . . . . . . . . . . . . 485--498
John C. Butcher and
Gulshad Imran Symplectic effective order methods . . . 499--517
Pamela M. Burrage and
Kevin Burrage Structure-preserving Runge--Kutta
methods for stochastic Hamiltonian
equations with additive noise . . . . . 519--532
D. J. L. Chen The efficiency of singly-implicit
Runge--Kutta methods for stiff
differential equations . . . . . . . . . 533--554
J. H. Verner Explicit Runge--Kutta pairs with lower
stage-order . . . . . . . . . . . . . . 555--577
Raffaele D'Ambrosio and
Giuseppe De Martino and
Beatrice Paternoster Order conditions for General Linear
Nyström methods . . . . . . . . . . . . . 579--595
Sergey Khashin Symmetries of explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 597--609
Luigi Brugnano and
Yajuan Sun Multiple invariants conserving
Runge--Kutta type methods for
Hamiltonian problems . . . . . . . . . . 611--632
Luigi Brugnano and
Gianluca Frasca Caccia and
Felice Iavernaro Efficient implementation of Gauss
collocation and Hamiltonian boundary
value methods . . . . . . . . . . . . . 633--650
Yonglei Fang and
Xiong You and
Qinghe Ming Trigonometrically fitted two-derivative
Runge--Kutta methods for solving
oscillatory differential equations . . . 651--667
T. M. H. Chan Relations between the Hopf algebra and
the $B$-series with new concepts . . . . 669--685
Angela Y. J. Tsai and
Robert P. K. Chan and
Shixiao Wang Two-derivative Runge--Kutta methods for
PDEs using a novel discretization
approach . . . . . . . . . . . . . . . . 687--703
Bin Wang and
Xinyuan Wu A highly accurate explicit symplectic
ERKN method for multi-frequency and
multidimensional oscillatory Hamiltonian
systems . . . . . . . . . . . . . . . . 705--721
Jingjun Zhao and
Jingyu Xiao and
Neville J. Ford Collocation methods for fractional
integro-differential equations with
weakly singular kernels . . . . . . . . 723--743
Paolo Novati and
Maria Rosaria Russo Adaptive Arnoldi--Tikhonov
regularization for image restoration . . 745--757
Tomás Gergelits and
Zdenek Strakos Composite convergence bounds based on
Chebyshev polynomials and finite
precision conjugate gradient
computations . . . . . . . . . . . . . . 759--782
Alain F. Berlinet Geometric approach to the parallel sum
of vectors and application to the vector
$ \varepsilon $-algorithm . . . . . . . 783--807
Sanjay K. Khattri and
Trond Steihaug Algorithm for forming derivative-free
optimal methods . . . . . . . . . . . . 809--824
Yan Yu and
Bo Yu and
Bo Dong Robust continuation methods for tracing
solution curves of parameterized systems 825--841
Azzeddine Bellour and
Mahmoud Bousselsal A Taylor collocation method for solving
delay integral equations . . . . . . . . 843--857
Neculai Andrei An accelerated subspace minimization
three-term conjugate gradient algorithm
for unconstrained optimization . . . . . 859--874
H. W. Zhang and
T. Wei Two iterative methods for a Cauchy
problem of the elliptic equation with
variable coefficients in a strip region 875--892
J. M. Carnicer and
C. Godés Interpolation on the disk . . . . . . . 1--16
H. Scolnik and
N. Echebest and
M. T. Guardarucci On the incomplete oblique projections
method for solving box constrained least
squares problems . . . . . . . . . . . . 17--32
Xiuhua Wang and
Jisheng Kou Convergence for a family of modified
Chebyshev methods under weak condition 33--48
Keyvan Amini and
Masoud Ahookhosh and
Hadi Nosratipour An inexact line search approach using
modified nonmonotone strategy for
unconstrained optimization . . . . . . . 49--78
Nikolaos Halidias A novel approach to construct numerical
methods for stochastic differential
equations . . . . . . . . . . . . . . . 79--87
Sebastien Duminil and
Hassane Sadok and
David Silvester Fast solvers for discretized
Navier--Stokes problems using vector
extrapolation . . . . . . . . . . . . . 89--104
Michele Benzi and
Elena Toscano Mauro Picone, Sandro Faedo, and the
numerical solution of partial
differential equations in Italy
(1928--1953) . . . . . . . . . . . . . . 105--145
Xiong You and
Jinxi Zhao and
Hongli Yang and
Yonglei Fang and
Xinyuan Wu Order conditions for RKN methods solving
general second-order oscillatory systems 147--176
M. Khasi and
F. Ghoreishi and
M. Hadizadeh Numerical analysis of a high order
method for state-dependent delay
integral equations . . . . . . . . . . . 177--201
Zhen Chao and
Naimin Zhang A generalized preconditioned HSS method
for singular saddle point problems . . . 203--221
Xiao-Ping Xu and
Feng-Gong Lang Quintic B-spline method for function
reconstruction from integral values of
successive subintervals . . . . . . . . 223--240
J. A. Ezquerro and
M. A. Hernández-Verón and
M. J. Rubio and
A. I. Velasco An hybrid method that improves the
accessibility of Steffensen's method . . 241--267
Mathew Baxter and
Robert A. Van Gorder and
Kuppalapalle Vajravelu On the choice of auxiliary linear
operator in the optimal homotopy
analysis of the Cahn--Hilliard initial
value problem . . . . . . . . . . . . . 269--298
Hui Zhang and
Yao-Lin Jiang A note on the $ H^1 $-convergence of the
overlapping Schwarz waveform relaxation
method for the heat equation . . . . . . 299--307
Siegfried M. Rump Improved componentwise verified error
bounds for least squares problems and
underdetermined linear systems . . . . . 309--322
Yair Censor and
Ioana Pantelimon and
Constantin Popa Family constraining of iterative
algorithms . . . . . . . . . . . . . . . 323--338
P. Sablonni\`ere Padé-type approximants for generalized
Euler transforms . . . . . . . . . . . . 339--347
Behrouz Kheirfam A predictor--corrector interior-point
algorithm for $ P_*(\kappa) $-horizontal
linear complementarity problem . . . . . 349--361
Peter Benner and
Pablo Ezzatti and
Enrique S. Quintana-Ortí and
Alfredo Remón A factored variant of the Newton
iteration for the solution of algebraic
Riccati equations via the matrix sign
function . . . . . . . . . . . . . . . . 363--377
Yuchao Tang and
Jigen Peng and
Shigang Yue Cyclic and simultaneous iterative
methods to matrix equations of the form
$ A_i X B_i = F_i $ . . . . . . . . . . 379--397
Lavdie Rada and
Ke Chen A variational model and its numerical
solution for local, selective and
automatic segmentation . . . . . . . . . 399--430
José M. Gutiérrez and
Luis J. Hernández-Paricio and
Miguel Marañón-Grandes and
M. Teresa Rivas-Rodríguez Influence of the multiplicity of the
roots on the basins of attraction of
Newton's method . . . . . . . . . . . . 431--455
Richard M. Slevinsky and
Hassan Safouhi Useful properties of the coefficients of
the Slevinsky--Safouhi formula for
differentiation . . . . . . . . . . . . 457--477
Kingston Kang and
William Lothian and
Jessica Sears and
Brian D. Sutton Simultaneous multidiagonalization for
the CS decomposition . . . . . . . . . . 479--493
S. Shateyi and
S. S. Motsa and
Y. Khan A new piecewise spectral homotopy
analysis of the Michaelis--Menten
enzymatic reactions model . . . . . . . 495--510
Hongwei Lin and
Yuelin Gao and
Yuping Wang A continuously differentiable filled
function method for global optimization 511--523
Manuel Alfaro and
Ana Peña and
Teresa E. Pérez and
M. Luisa Rezola On linearly related orthogonal
polynomials in several variables . . . . 525--553
Xu Li and
Ai-Li Yang and
Yu-Jiang Wu Lopsided PMHSS iteration method for a
class of complex symmetric linear
systems . . . . . . . . . . . . . . . . 555--568
Aleksandar Pejcev Error bounds for Gauss-type quadratures
with Bernstein--Szeg\Ho weights . . . . 569--590
M. Arioli and
J. Scott Chebyshev acceleration of iterative
refinement . . . . . . . . . . . . . . . 591--608
Harald Hofstätter and
Othmar Koch An approximate eigensolver for
self-consistent field calculations . . . 609--641
J. Rashidinia and
A. Barati and
M. Nabati Application of Sinc--Galerkin method to
singularly perturbed parabolic
convection-diffusion problems . . . . . 643--662
R. Naseri and
A. Malek Optimization technique in solving
laminar boundary layer problems with
temperature dependent viscosity . . . . 663--678
Gérard Meurant and
Petr Tichý Erratum to: On computing
quadrature-based bounds for the $A$-norm
of the error in conjugate gradients . . 679--680
Daniel Kressner and
Marija Miloloza Pandur and
Meiyue Shao An indefinite variant of LOBPCG for
definite matrix pencils . . . . . . . . 681--703
Ai-Li Yang and
Yu-Jiang Wu and
Zhen-Jian Xu The semi-convergence properties of MHSS
method for a class of complex
nonsymmetric singular linear systems . . 705--719
Karla Pockaj Hermite $ G^1 $ rational spline motion
of degree six . . . . . . . . . . . . . 721--739
Fu-Sheng Wang and
Jin-Bao Jian and
Chuan-Long Wang A model-hybrid approach for
unconstrained optimization problems . . 741--759
Tristan A. Hearn and
Lothar Reichel Application of denoising methods to
regularization of ill-posed problems . . 761--777
Wei-Qi Deng A new iterative algorithm for solving a
system of generalized mixed equilibrium
problems for a kind of multi-valued
nonlinear mappings . . . . . . . . . . . 779--791
Fengmin Chen and
Patricia J. Y. Wong Deficient discrete cubic spline solution
for a system of second order boundary
value problems . . . . . . . . . . . . . 793--809
Owe Axelsson and
Maya Neytcheva and
Bashir Ahmad A comparison of iterative methods to
solve complex valued linear algebraic
systems . . . . . . . . . . . . . . . . 811--841
Kristina Mallory and
Robert A. Van Gorder Optimal homotopy analysis and control of
error for solutions to the non-local
Whitham equation . . . . . . . . . . . . 843--863
Sandile S. Motsa On the practical use of the spectral
homotopy analysis method and local
linearisation method for unsteady
boundary-layer flows caused by an
impulsively stretching plate . . . . . . 865--883
Bilel Kchouk and
Jean-Pierre Dussault On per-iteration complexity of high
order Chebyshev methods for sparse
functions with banded Hessians . . . . . 885--909
J. Song and
Q. Yu and
F. Liu and
I. Turner A spatially second-order accurate
implicit numerical method for the space
and time fractional Bloch--Torrey
equation . . . . . . . . . . . . . . . . 911--932
Markus Aurada and
Michael Ebner and
Michael Feischl and
Samuel Ferraz-Leite and
Thomas Führer and
Petra Goldenits and
Michael Karkulik and
Markus Mayr and
Dirk Praetorius HILBERT --- a MATLAB implementation of
adaptive $2$D-BEM . . . . . . . . . . . 1--32
M. Reza Peyghami and
S. Fathi Hafshejani Complexity analysis of an interior-point
algorithm for linear optimization based
on a new proximity function . . . . . . 33--48
Songxin Liang and
Junchi Ma Laplace transform for the solution of
higher order deformation equations
arising in the homotopy analysis method 49--57
Walter Gautschi High-precision Gauss--Turán quadrature
rules for Laguerre and Hermite weight
functions . . . . . . . . . . . . . . . 59--72
K. Chen and
E. Loli Piccolomini and
F. Zama An automatic regularization parameter
selection algorithm in the total
variation model for image deblurring . . 73--92
Gilberto González-Parra and
Luis Acedo and
Abraham J. Arenas A novel approach to obtain
analytical-numerical solutions of
nonlinear Lorenz system . . . . . . . . 93--107
Micol Ferranti and
Thanh Hieu Le and
Raf Vandebril A comparison between the complex
symmetric based and classical
computation of the singular value
decomposition of normal matrices . . . . 109--120
Martin S. Andersen and
Per Christian Hansen Generalized row-action methods for
tomographic imaging . . . . . . . . . . 121--144
Sergio Amat and
Juan Ruiz and
J. Carlos Trillo Improving the compression rate versus $
L^1 $ error ratio in cell-average error
control algorithms . . . . . . . . . . . 145--162
Edyta Hetmaniok and
Damian Slota and
Tomasz Trawi\'nski and
Roman Witula Usage of the homotopy analysis method
for solving the nonlinear and linear
integral equations of the second kind 163--185
Miodrag S. Petkovi\'c and
Lidija Z. Ranci\'c On the guaranteed convergence of new
two-point root-finding methods for
polynomial zeros . . . . . . . . . . . . 187--222
Malik Zaka Ullah and
Fazlollah Soleymani and
A. S. Al-Fhaid Numerical solution of nonlinear systems
by a general class of iterative methods
with application to nonlinear PDEs . . . 223--242
Wei-Qi Deng The split common fixed point problem for
infinite families of total
quasi-asymptotically nonexpansive
operators . . . . . . . . . . . . . . . 243--256
Wen Li and
Hua Zheng Some new error bounds for linear
complementarity problems of $H$-matrices 257--269
Maxim Derevyagin and
Francisco Marcellán A note on the Geronimus transformation
and Sobolev orthogonal polynomials . . . 271--287
D. R. Sahu and
Krishna Kumar Singh and
Vipin Kumar Singh A Newton-like method for generalized
operator equations in Banach spaces . . 289--303
Petru Jebelean and
Constantin Popa Numerical solutions to singular $
\varphi $-Laplacian with Dirichlet
boundary conditions . . . . . . . . . . 305--318
Zhe Li and
Qi Liu A heuristic verification of the degree
of the approximate GCD of two univariate
polynomials . . . . . . . . . . . . . . 319--334
Theresa Springer and
Karsten Urban Comparison of the EM algorithm and
alternatives . . . . . . . . . . . . . . 335--364
José L. Hueso and
Eulalia Martínez Semilocal convergence of a family of
iterative methods in Banach spaces . . . 365--384
L. Plaskota and
G. W. Wasilkowski Efficient algorithms for multivariate
and $ \infty $-variate integration with
exponential weight . . . . . . . . . . . 385--403
Hassan Majidian Modified Euler's method with a graded
mesh for a class of Volterra integral
equations with weakly singular kernel 405--422
Pouria Assari and
Hojatollah Adibi and
Mehdi Dehghan A meshless method based on the moving
least squares (MLS) approximation for
the numerical solution of
two-dimensional nonlinear integral
equations of the second kind on
non-rectangular domains . . . . . . . . 423--455
Zhongdi Cen and
Fevzi Erdogan and
Aimin Xu An almost second order uniformly
convergent scheme for a singularly
perturbed initial value problem . . . . 457--476
Yakui Huang and
Hongwei Liu and
Sha Zhou A Barzilai--Borwein type method for
stochastic linear complementarity
problems . . . . . . . . . . . . . . . . 477--489
Gérard Meurant and
Alvise Sommariva Fast variants of the Golub and Welsch
algorithm for symmetric weight functions
in Matlab . . . . . . . . . . . . . . . 491--506
Sebastian Birk and
Andreas Frommer A deflated conjugate gradient method for
multiple right hand sides and multiple
shifts . . . . . . . . . . . . . . . . . 507--529
Robert Schaback Greedy sparse linear approximations of
functionals from nodal data . . . . . . 531--547
Yen Chi Lun and
Fernando Rodrigo Rafaeli Inequalities for zeros of Jacobi
polynomials via Sturm's theorem:
Gautschi's conjectures . . . . . . . . . 549--563
Gustavo Fernández-Torres Derivative free iterative methods with
memory of arbitrary high convergence
order . . . . . . . . . . . . . . . . . 565--580
Wenting Shao and
Xionghua Wu A numerical study for the KdV and the
good Boussinesq equations using Fourier
Chebyshev tau meshless method . . . . . 581--597
Bo Song and
Yao-Lin Jiang Analysis of a new parareal algorithm
based on waveform relaxation method for
time-periodic problems . . . . . . . . . 599--622
Ali Özyapici and
Mustafa Riza and
Bülent Bilgehan and
Agamirza E. Bashirov On multiplicative and Volterra
minimization methods . . . . . . . . . . 623--636
R. I. Okuonghae and
M. N. O. Ikhile Second derivative general linear methods 637--654
Marta García-Esnaola and
Juan Manuel Peña Error bounds for linear complementarity
problems of Nekrasov matrices . . . . . 655--667
Peter Benner and
Mohammad-Sahadet Hossain and
Tatjana Stykel Low-rank iterative methods for periodic
projected Lyapunov equations and their
application in model reduction of
periodic descriptor systems . . . . . . 669--690
Kendall Atkinson and
David Chien and
Olaf Hansen Evaluating polynomials over the unit
disk and the unit ball . . . . . . . . . 691--711
Roman Andreev Space--time discretization of the heat
equation . . . . . . . . . . . . . . . . 713--731
Stefan Güttel and
Jennifer Pestana Some observations on weighted GMRES . . 733--752
Vishnu Narayan Mishra and
Prashantkumar Patel The Durrmeyer type modification of the
$q$-Baskakov type operators with two
parameter $ \alpha $ and $ \beta $ . . . 753--769
Xiang Wu and
Kanjian Zhang and
Changyin Sun Numerical algorithm for a class of
constrained optimal control problems of
switched systems . . . . . . . . . . . . 771--792
Lj. Cvetkovi\'c and
A. Hadjidimos and
V. Kosti\'c On the choice of parameters in MAOR type
splitting methods for the linear
complementarity problem . . . . . . . . 793--806
Laurent Gajny and
Olivier Gibaru and
Eric Nyiri $ L_1 C^1 $ polynomial spline
approximation algorithms for large data
sets . . . . . . . . . . . . . . . . . . 807--826
Wei-Si Xie and
Yu-Fei Yang and
Bo Zhou An ADMM algorithm for second-order
TV-based MR image reconstruction . . . . 827--843
Huiya Dai and
Leilei Wei and
Xindong Zhang Numerical algorithm based on an implicit
fully discrete local discontinuous
Galerkin method for the fractional
diffusion-wave equation . . . . . . . . 845--862
Boris I. Kvasov Discrete weighted cubic splines . . . . 863--888
Lahcen Laayouni and
Daniel B. Szyld On the performance of the algebraic
optimized Schwarz methods with
applications . . . . . . . . . . . . . . 889--916
Janak Raj Sharma and
Himani Arora A novel derivative free algorithm with
seventh order convergence for solving
systems of nonlinear equations . . . . . 917--933
Calin-Ioan Gheorghiu Pseudospectral solutions to some
singular nonlinear BVPs . . . . . . . . 1--14
Arno Mayrhofer and
Martin Ferrand and
Christophe Kassiotis and
Damien Violeau and
François-Xavier Morel Unified semi-analytical wall boundary
conditions in SPH: analytical extension
to $3$-D . . . . . . . . . . . . . . . . 15--34
Herbert Dueñas and
Luis E. Garza and
Miguel Piñar A higher order Sobolev-type inner
product for orthogonal polynomials in
several variables . . . . . . . . . . . 35--46
Ángel Alberto Magreñán and
Ioannis K. Argyros An extension of a theorem by Wang for
Smale's $ \alpha $-theory and
applications . . . . . . . . . . . . . . 47--60
Radoslav Valkov Convergence of a finite volume element
method for a generalized Black--Scholes
equation transformed on finite interval 61--80
Minoo Kamrani Numerical solution of stochastic
fractional differential equations . . . 81--93
Zhen Chao and
Guoliang Chen A note on semi-convergence of
generalized parameterized inexact Uzawa
method for singular saddle point
problems . . . . . . . . . . . . . . . . 95--105
K. Jbilou and
H. Sadok Matrix polynomial and epsilon-type
extrapolation methods with applications 107--119
Liqi Wang and
Moody T. Chu and
Yu Bo A computational framework of gradient
flows for general linear matrix
equations . . . . . . . . . . . . . . . 121--141
Gérard Meurant and
Jurjen Duintjer Tebbens The role eigenvalues play in forming
GMRES residual norms with non-normal
matrices . . . . . . . . . . . . . . . . 143--165
Benedict Dingfelder and
J. A. C. Weideman An improved Talbot method for numerical
Laplace transform inversion . . . . . . 167--183
Andreas Karageorghis The method of fundamental solutions for
elliptic problems in circular domains
with mixed boundary conditions . . . . . 185--211
Keyvan Amini and
Ahmad Kamandi and
Somayeh Bahrami A double-projection-based algorithm for
large-scale nonlinear systems of
monotone equations . . . . . . . . . . . 213--228
Wolfgang Erb Accelerated Landweber methods based on
co-dilated orthogonal polynomials . . . 229--260
Taher Lotfi and
Somayeh Sharifi and
Mehdi Salimi and
Stefan Siegmund A new class of three-point methods with
optimal convergence order eight and its
dynamics . . . . . . . . . . . . . . . . 261--288
Vorkady S. Shubha and
Santhosh George and
P. Jidesh A derivative free iterative method for
the implementation of Lavrentiev
regularization method for ill-posed
equations . . . . . . . . . . . . . . . 289--304
Neculai Andrei A new three-term conjugate gradient
algorithm for unconstrained optimization 305--321
Alicia Cordero and
Taher Lotfi and
Parisa Bakhtiari and
Juan R. Torregrosa An efficient two-parametric family with
memory for nonlinear equations . . . . . 323--335
Ali Shokri and
Hosein Saadat High phase-lag order trigonometrically
fitted two-step Obrechkoff methods for
the numerical solution of periodic
initial value problems . . . . . . . . . 337--354
Li Yang and
Bo Yu and
YanXi Li A homotopy method for nonlinear
second-order cone programming . . . . . 355--365
Anca Ciurte and
Sergiu Nedevschi and
Ioan Rasa Systems of nonlinear algebraic equations
with unique solution . . . . . . . . . . 367--376
Caifang Wang A parallel strategy and performance
analysis of the EM-like reconstruction
method for diffuse optical tomography 377--391
Roberto Cavoretto and
Gregory E. Fasshauer and
Michael McCourt An introduction to the Hilbert--Schmidt
SVD using iterated Brownian bridge
kernels . . . . . . . . . . . . . . . . 393--422
S. Mohammed Hosseini and
Samira Smaeili Numerical integration of
multi-dimensional highly oscillatory
integrals, based on eRPIM . . . . . . . 423--442
S. Shen and
F. Liu and
Q. Liu and
V. Anh Numerical simulation of anomalous
infiltration in porous media . . . . . . 443--454
Quan Shen A posteriori error estimates of the
Morley element for the fourth order
elliptic eigenvalue problem . . . . . . 455--466
Chengbo Lu Some results on certain generalized
circulant matrices . . . . . . . . . . . 467--479
Saman Babaie-Kafaki and
Reza Ghanbari A hybridization of the
Polak--Ribi\`ere--Polyak and
Fletcher--Reeves conjugate gradient
methods . . . . . . . . . . . . . . . . 481--495
T. M. Dunster and
A. Gil and
J. Segura and
N. M. Temme Computation of a numerically
satisfactory pair of solutions of the
differential equation for conical
functions of non-negative integer orders 497--509
S. A. Hosseini and
S. Shahmorad and
F. Talati A matrix based method for two
dimensional nonlinear Volterra--Fredholm
integral equations . . . . . . . . . . . 511--529
L. Dykes and
S. Noschese and
L. Reichel Rescaling the GSVD with application to
ill-posed problems . . . . . . . . . . . 531--545
Alfredo Cano and
Carlos Moreno A new method for numerical integration
of singular functions on the plane . . . 547--568
Xiuhua Wang and
Jisheng Kou Convergence for a class of multi-point
modified Chebyshev--Halley methods under
the relaxed conditions . . . . . . . . . 569--583
Aleksandr Cariow and
Dorota Majorkowska-Mech Fast algorithm for discrete fractional
Hadamard transform . . . . . . . . . . . 585--600
M. Parvizi and
M. R. Eslahchi and
Mehdi Dehghan Numerical solution of fractional
advection--diffusion equation with a
nonlinear source term . . . . . . . . . 601--629
Jian-Jun Zhang MSSOR-based alternating direction method
for symmetric positive-definite linear
complementarity problems . . . . . . . . 631--644
Josip Matejas Accuracy of one step of the
Falk--Langemeyer method . . . . . . . . 645--670
Shuai Huang and
Zhong Wan and
Xiaohong Chen A new nonmonotone line search technique
for unconstrained optimization . . . . . 671--689
Sebastian Schmutzhard and
Tomasz Hrycak and
Hans G. Feichtinger A numerical study of the
Legendre--Galerkin method for the
evaluation of the prolate spheroidal
wave functions . . . . . . . . . . . . . 691--710
Natasa Kreji\'c and
Natasa Krklec Jerinki\'c Nonmonotone line search methods with
variable sample size . . . . . . . . . . 711--739
Somayyeh Fazeli and
Gholamreza Hojjati Numerical solution of Volterra
integro-differential equations by
superimplicit multistep collocation
methods . . . . . . . . . . . . . . . . 741--768
M. Garshasbi and
H. Dastour Estimation of unknown boundary functions
in an inverse heat conduction problem
using a mollified marching scheme . . . 769--790
Silvana Ilie and
Kenneth R. Jackson and
Wayne H. Enright Adaptive time-stepping for the strong
numerical solution of stochastic
differential equations . . . . . . . . . 791--812
Carlo Janna and
Nicola Castelletto and
Massimiliano Ferronato The effect of graph partitioning
techniques on parallel Block FSAI
preconditioning: a computational study 813--836
Tong Zhang and
Xin Zhao and
Pengzhan Huang Decoupled two level finite element
methods for the steady natural
convection problem . . . . . . . . . . . 837--866
Fabien Courreges Design of a discrete algebraic robust
differentiation FIR filter using an
annihilator of the $Z$-transform;
frequency response analysis and
parameter tuning . . . . . . . . . . . . 867--901
Juan Geng and
Laisheng Wang and
Yanfei Wang A non-convex algorithm framework based
on DC programming and DCA for matrix
completion . . . . . . . . . . . . . . . 903--921
Bo Yu and
Xiaoyun Jiang and
Huanying Xu A novel compact numerical method for
solving the two-dimensional non-linear
fractional reaction-subdiffusion
equation . . . . . . . . . . . . . . . . 923--950
Zhongxiao Jia and
Hui Lv A posteriori error estimates of Krylov
subspace approximations to matrix
functions . . . . . . . . . . . . . . . 1--28
B. Akhtari and
E. Babolian and
A. Foroush Bastani An adaptive weak continuous
Euler--Maruyama method for stochastic
delay differential equations . . . . . . 29--57
Dali Xu and
Jifeng Cui and
Shijun Liao and
A. Alsaedi A HAM-based analytic approach for
physical models with an infinite number
of singularities . . . . . . . . . . . . 59--74
Francesc Ar\`andiga and
Pep Mulet and
Vicent Renau Cell average image transform algorithms
with exact error control . . . . . . . . 75--93
H. A. Jafari-Varzaneh and
S. M. Hosseini A new map for the Chebyshev
pseudospectral solution of differential
equations with large gradients . . . . . 95--108
Martin J. Gander and
Olivier Dubois Optimized Schwarz methods for a
diffusion problem with discontinuous
coefficient . . . . . . . . . . . . . . 109--144
Constantin Popa and
Tobias Preclik and
Ulrich Rüde Regularized solution of LCP problems
with application to rigid body dynamics 145--156
Tahereh Eftekhari A new proof of interval extension of the
classic Ostrowski's method and its
modified method for computing the
enclosure solutions of nonlinear
equations . . . . . . . . . . . . . . . 157--165
Tahereh Eftekhari Erratum to: ``A new proof of interval
extension of the classic Ostrowski's
method and its modified method for
computing the enclosure solutions of
nonlinear equations'' by Tahereh
Eftekhari . . . . . . . . . . . . . . . 167--167
Evgenija D. Popova On the unbounded parametric tolerable
solution set . . . . . . . . . . . . . . 169--182
Tomás Dzetkulic Rigorous integration of non-linear
ordinary differential equations in
Chebyshev basis . . . . . . . . . . . . 183--205
Hossein Noormohammadi Pour and
Hossein Sadeghi Goughery New Hermitian and skew-Hermitian
splitting methods for non-Hermitian
positive-definite linear systems . . . . 207--225
Yuan Lei The inexact fixed matrix iteration for
solving large linear inequalities in a
least squares sense . . . . . . . . . . 227--251
Fredrik Johansson Rigorous high-precision computation of
the Hurwitz zeta function and its
derivatives . . . . . . . . . . . . . . 253--270
Sergio Blanes High order structure preserving explicit
methods for solving linear-quadratic
optimal control problems . . . . . . . . 271--290
John T. Betts and
Stephen L. Campbell and
Karmethia Thompson Lobatto IIIA methods, direct
transcription, and DAEs with delays . . 291--300
Iman H. Ibrahim and
Fatma M. Yousry Hybrid special class for solving
differential-algebraic equations . . . . 301--320
Jingjun Zhao and
Yang Xu and
Xindi Li and
Yan Fan Delay-dependent stability of symmetric
boundary value methods for second order
delay differential equations with three
parameters . . . . . . . . . . . . . . . 321--336
Zhifeng Dai and
Fenghua Wen Comments on another hybrid conjugate
gradient algorithm for unconstrained
optimization by Andrei . . . . . . . . . 337--341
Shaohua Chen and
Lauren DeDieu A simple moving mesh method for blowup
problems . . . . . . . . . . . . . . . . 343--356
Takashi Goda Fast construction of higher order
digital nets for numerical integration
in weighted Sobolev spaces . . . . . . . 357--396
Thanh Hieu Le and
Marc Van Barel An algorithm for decomposing a
non-negative polynomial as a sum of
squares of rational functions . . . . . 397--413
Bryan Michael Williams and
Ke Chen and
Simon P. Harding A new constrained total variational
deblurring model and its fast algorithm 415--441
A. Galántai and
J. Abaffy Always convergent iteration methods for
nonlinear equations of Lipschitz
functions . . . . . . . . . . . . . . . 443--453
Martin H. Gutknecht Revisiting $ (k, l)$-step methods . . . 455--469
B. Akhtari and
E. Babolian and
A. Foroush Bastani Erratum to: An adaptive weak continuous
Euler--Maruyama method for stochastic
delay differential equations . . . . . . 471--472
Kirk M. Soodhalter A block MINRES algorithm based on the
band Lanczos method . . . . . . . . . . 473--494
Le Jiang and
Jin Huang and
Xiao-Guang Lv and
Jun Liu Alternating direction method for the
high-order total variation-based Poisson
noise removal problem . . . . . . . . . 495--516
Mircea Ivan A note on the Hermite interpolation . . 517--522
Dragomir \vZ. \Dbarokovi\'c and
Ilias S. Kotsireas Some new periodic Golay pairs . . . . . 523--530
Sadegh Amiri and
S. Mohammad Hosseini A class of balanced stochastic
Runge--Kutta methods for stiff SDE
systems . . . . . . . . . . . . . . . . 531--552
Hong-Xiu Zhong and
Guo-Liang Chen and
Xue-Ping Guo On preconditioned modified Newton--MHSS
method for systems of nonlinear
equations with complex symmetric
Jacobian matrices . . . . . . . . . . . 553--567
Fazlollah Soleymani An efficient and stable Newton-type
iterative method for computing
generalized inverse $ A_{T, S}^{(2)} $ 569--578
Ai-Li Yang and
Yan Dou and
Yu-Jiang Wu and
Xu Li On generalized parameterized inexact
Uzawa methods for singular saddle-point
problems . . . . . . . . . . . . . . . . 579--593
Cristinel Mortici and
Hari M. Srivastava A product approximation of the gamma
function . . . . . . . . . . . . . . . . 595--610
Iván Area and
Dimitar K. Dimitrov and
Eduardo Godoy and
Vanessa Paschoa Bounds for the zeros of symmetric
Kravchuk polynomials . . . . . . . . . . 611--624
Pengde Wang and
Chengming Huang A conservative linearized difference
scheme for the nonlinear fractional
Schrödinger equation . . . . . . . . . . 625--641
A. Tocino and
M. J. Senosiain Two-step Milstein schemes for stochastic
differential equations . . . . . . . . . 643--665
Diana Estévez Schwarz and
René Lamour Diagnosis of singular points of
structured DAEs using automatic
differentiation . . . . . . . . . . . . 667--691
Vittoria Demichelis and
Matteo Sciarra Martensen splines and finite-part
integrals . . . . . . . . . . . . . . . 693--712
Jia Wu and
Liwei Zhang and
Yi Zhang An inexact Newton method for stationary
points of mathematical programs
constrained by parameterized
quasi-variational inequalities . . . . . 713--735
Neil Greer and
Sébastien Loisel The optimised Schwarz method and the
two-Lagrange multiplier method for
heterogeneous problems in general
domains with two general subdomains . . 737--762
Xiaojing Zhu A feasible filter method for the nearest
low-rank correlation matrix problem . . 763--784
Alicja Smoktunowicz and
Agata Smoktunowicz and
Ewa Pawelec The three-term recursion for Chebyshev
polynomials is mixed forward-backward
stable . . . . . . . . . . . . . . . . . 785--794
Jincheng Ren and
Guang-hua Gao Efficient and stable numerical methods
for the two-dimensional fractional
Cattaneo equation . . . . . . . . . . . 795--818
Yakui Huang and
Hongwei Liu A Barzilai--Borwein type method for
minimizing composite functions . . . . . 819--838
Y. Zhang and
X. B. Hu and
H. W. Tam Integrable discretization of nonlinear
Schrödinger equation and its application
with Fourier pseudo-spectral method . . 839--862
Yakui Huang and
Hongwei Liu and
Weijie Cong A note on the smoothing quadratic
regularization method for non-Lipschitz
optimization . . . . . . . . . . . . . . 863--874
Ling Lu and
Wei Xu and
Sanzheng Qiao A fast SVD for multilevel block Hankel
matrices with minimal memory storage . . 875--891
Takumi Yamashita and
Kinji Kimura and
Yusaku Yamamoto A new subtraction-free formula for lower
bounds of the minimal singular value of
an upper bidiagonal matrix . . . . . . . 893--912
Fabien Courreges Erratum to: Design of a discrete
algebraic robust differentiation FIR
filter using an annihilator of the
$Z$-transform; frequency response
analysis and parameter tuning . . . . . 913--913
Erwin Miña-Díaz On the leading coefficient of
polynomials orthogonal over domains with
corners . . . . . . . . . . . . . . . . 1--8
Dominique Orban Limited-memory LDL$^T$ factorization of
symmetric quasi-definite matrices with
application to constrained optimization 9--41
U. Farooq and
T. Hayat and
A. Alsaedi and
S. J. Liao Series solutions of non-similarity
boundary layer flows of nano-fluids over
stretching surfaces . . . . . . . . . . 43--59
Winfried Auzinger and
Othmar Koch and
Mechthild Thalhammer Defect-based local error estimators for
high-order splitting methods involving
three linear operators . . . . . . . . . 61--91
Wei Liu and
Zhe Yin and
Jin Li A two-grid algorithm based on expanded
mixed element discretizations for
strongly nonlinear elliptic equations 93--111
Zhengda Huang and
Xiaoyan Zhou On the minimum convergence factor of a
class of GSOR-like methods for augmented
systems . . . . . . . . . . . . . . . . 113--132
S. N. Jator Implicit third derivative
Runge--Kutta--Nyström method with
trigonometric coefficients . . . . . . . 133--150
Zhao-Zheng Liang and
Guo-Feng Zhang Semi-convergence analysis of the GPIU
method for singular nonsymmetric
saddle-point problems . . . . . . . . . 151--169
Tatiana Chernogorova and
Lubin Lubin Vulkov Fitted finite volume positive difference
scheme for a stationary model of air
pollution . . . . . . . . . . . . . . . 171--189
Yvonne Percan and
Stefan Zellmann and
Ulrich Lang Asymptotic error of cubic B-spline
interpolation using prefiltering . . . . 191--203
Javad Abdalkhani and
David Levin On the choice of $ \beta $ in the
$u$-transformation for convergence
acceleration . . . . . . . . . . . . . . 205--213
Walter Gautschi Polynomials orthogonal with respect to
exponential integrals . . . . . . . . . 215--226
John Haussermann and
Robert A. Van Gorder Efficient low-error analytical-numerical
approximations for radial solutions of
nonlinear Laplace equations . . . . . . 227--248
Saman Ghili and
Gianluca Iaccarino Reusing Chebyshev points for polynomial
interpolation . . . . . . . . . . . . . 249--267
Hao Liu and
Haijun Wang and
Xiaoyan Qian and
Feng Rao A conjugate gradient method with
sufficient descent property . . . . . . 269--286
Edvin Deadman Estimating the condition number of $
f(A)b $ . . . . . . . . . . . . . . . . 287--308
Zhe Li and
Haifeng Sang Verified error bounds for singular
solutions of nonlinear systems . . . . . 309--331
Haiyun Zhou and
Peiyuan Wang Some remarks on the paper ``Strong
convergence of a self-adaptive method
for the split feasibility problem'' . . 333--339
Tingting Chen and
Wen Li and
Xianping Wu and
Seakweng Vong Error bounds for linear complementarity
problems of $ M B $-matrices . . . . . . 341--356
Xiaofeng Wang and
Tie Zhang Efficient $n$-point iterative methods
with memory for solving nonlinear
equations . . . . . . . . . . . . . . . 357--375
M. A. Hernández-Verón and
Eulalia Martínez On the semilocal convergence of a three
steps Newton-type iterative process
under mild convergence conditions . . . 377--392
Mohamed Achache and
Moufida Goutali Complexity analysis and numerical
implementation of a full-Newton step
interior-point algorithm for LCCO . . . 393--405
S. A. Shahzadeh Fazeli and
Nahid Emad and
Zifan Liu A key to choose subspace size in
implicitly restarted Arnoldi method . . 407--426
François Alouges and
Matthieu Aussal The sparse cardinal sine decomposition
and its application for fast numerical
convolution . . . . . . . . . . . . . . 427--448
Zhifeng Dai and
Fenghua Wen Erratum to: ``Comments on another hybrid
conjugate gradient algorithm for
unconstrained optimization by Andrei'' 449--450
Bin Fan A hybrid iterative method with averaged
mappings for hierarchical fixed point
problems and variational inequalities 451--467
Kanae Akaiwa and
Yoshimasa Nakamura and
Masashi Iwasaki A finite-step construction of totally
nonnegative matrices with specified
eigenvalues . . . . . . . . . . . . . . 469--484
Markus Hegland and
Paul Leopardi Sparse grid quadrature on products of
spheres . . . . . . . . . . . . . . . . 485--517
Galina Filipuk and
Maciej Haneczok and
Walter Van Assche Computing recurrence coefficients of
multiple orthogonal polynomials . . . . 519--543
Xiaofeng Wang and
Tie Zhang and
Weiyi Qian and
Mingyan Teng Seventh-order derivative-free iterative
method for solving nonlinear systems . . 545--558
Keyvan Amini and
Ahmad Kamandi A new line search strategy for finding
separating hyperplane in
projection-based methods . . . . . . . . 559--570
J. A. Ezquerro and
M. Grau-Sánchez and
M. A. Hernández-Verón and
M. Noguera A family of iterative methods that uses
divided differences of first and second
orders . . . . . . . . . . . . . . . . . 571--589
R. K. Mohanty and
Weizhong Dai and
Don Liu Operator compact method of accuracy two
in time and four in space for the
solution of time dependent
Burgers--Huxley equation . . . . . . . . 591--605
J. C. Butcher The cohesiveness of $G$-symplectic
methods . . . . . . . . . . . . . . . . 607--624
Yuan-Ming Wang A compact finite difference method for a
class of time fractional
convection-diffusion-wave equations with
variable coefficients . . . . . . . . . 625--651
Stef Graillat and
Vincent Lef\`evre and
Jean-Michel Muller On the maximum relative error when
computing integer powers by iterated
multiplications in floating-point
arithmetic . . . . . . . . . . . . . . . 653--667
Qin Gao and
Zhengda Huang and
Xiaoliang Cheng A finite difference method for an
inverse Sturm--Liouville problem in
impedance form . . . . . . . . . . . . . 669--690
Runchang Lin and
Martin Stynes A balanced finite element method for a
system of singularly perturbed
reaction-diffusion two-point boundary
value problems . . . . . . . . . . . . . 691--707
Andrew J. Wathen and
Shengxin Zhu On spectral distribution of kernel
matrices related to radial basis
functions . . . . . . . . . . . . . . . 709--726
Bernard Bialecki and
Lyndsey Wright A fast direct solver for a fourth order
finite difference scheme for Poisson's
equation on the unit disc in polar
coordinates . . . . . . . . . . . . . . 727--751
Josef Dick and
Peter Kritzer and
Gunther Leobacher Numerical integration in log-Korobov and
log-cosine spaces . . . . . . . . . . . 753--775
Diana Estévez Schwarz and
René Lamour Diagnosis of singular points of properly
stated DAEs using automatic
differentiation . . . . . . . . . . . . 777--805
Dalibor Lukás and
Petr Kovár and
Tereza Kovárová and
Michal Merta A parallel fast boundary element method
using cyclic graph decompositions . . . 807--824
Dawei Lu and
Congxu Ma Some new quicker continued fraction
approximations for the gamma function
related to the Nemes' formula . . . . . 825--833
Taher Lotfi and
Fazlollah Soleymani and
Mohammad Ghorbanzadeh On the construction of some
tri-parametric iterative methods with
memory . . . . . . . . . . . . . . . . . 835--845
Alexey Chernov and
Tobias von Petersdorff and
Christoph Schwab Quadrature algorithms for high
dimensional singular integrands on
simplices . . . . . . . . . . . . . . . 847--874
Jianhua Zhang and
Hua Dai A new quasi-minimal residual method
based on a biconjugate
$A$-orthonormalization procedure and
coupled two-term recurrences . . . . . . 875--896
Zhaoxia Chen and
Zeyu Qiu and
Juan Li and
Xiong You Two-derivative Runge--Kutta-Nyström
methods for second-order ordinary
differential equations . . . . . . . . . 897--927
Bartlomiej Jacek Kubica Presentation of a highly tuned
multithreaded interval solver for
underdetermined and well-determined
nonlinear systems . . . . . . . . . . . 929--963
Ioannis K. Argyros and
Á. Alberto Magreñán A study on the local convergence and the
dynamics of Chebyshev--Halley-type
methods free from second derivative . . 1--23
Mozhgan Bagherboum Approximating fixed points of mappings
satisfying condition ($E$) in Busemann
space . . . . . . . . . . . . . . . . . 25--39
Zvonimir Bujanovi\'c and
Daniel Kressner A block algorithm for computing
antitriangular factorizations of
symmetric matrices . . . . . . . . . . . 41--57
Jaechoul Lee and
Anthony Dini and
William Negri An efficient generalized least squares
algorithm for periodic trended
regression with autoregressive errors 59--75
Ljiljana Cvetkovi\'c and
Vladimir Kosti\'c and
Ernest Sanca A wider convergence area for the MSTMAOR
iteration methods for LCP . . . . . . . 77--88
Ali R. Soheili and
Fazlollah Soleymani Iterative methods for nonlinear systems
associated with finite difference
approach in stochastic differential
equations . . . . . . . . . . . . . . . 89--102
Akira Imakura and
Lei Du and
Tetsuya Sakurai Error bounds of Rayleigh--Ritz type
contour integral-based eigensolver for
solving generalized eigenvalue problems 103--120
Przemys\law Gospodarczyk and
Stanis\law Lewanowicz and
Pawel Wo\'zny $ G^{k, l}$-constrained multi-degree
reduction of Bézier curves . . . . . . . 121--137
Sunil Kumar and
Mukesh Kumar Analysis of some numerical methods on
layer adapted meshes for singularly
perturbed quasilinear systems . . . . . 139--150
A. H. Bhrawy and
M. A. Zaky and
R. A. Van Gorder A space--time Legendre spectral tau
method for the two-sided space--time
Caputo fractional diffusion-wave
equation . . . . . . . . . . . . . . . . 151--180
Paola F. Antonietti and
Carlo Marcati and
Ilario Mazzieri High order discontinuous Galerkin
methods on simplicial elements for the
elastodynamics equation . . . . . . . . 181--206
Santos B. Yuste and
J. Quintana-Murillo Fast, accurate and robust adaptive
finite difference methods for fractional
diffusion equations . . . . . . . . . . 207--228
Daniel J. Bates and
Andrew J. Newell and
Matthew Niemerg BertiniLab: A MATLAB interface for
solving systems of polynomial equations 229--244
Hung-Yuan Fan and
Peter Chang-Yi Weng and
Eric King-Wah Chu Numerical solution to generalized
Lyapunov/Stein and rational Riccati
equations in stochastic control . . . . 245--272
Claudia Fassino and
Hans Michael Möller Multivariate polynomial interpolation
with perturbed data . . . . . . . . . . 273--292
Dajana Conte and
Raffaele D'Ambrosio and
Beatrice Paternoster GPU-acceleration of waveform relaxation
methods for large differential systems 293--310
Brian C. Fabien Parallel collocation solution of index-1
BVP--DAEs arising from constrained
optimal control problems . . . . . . . . 311--335
Ji-Teng Jia and
Su-Mei Li Numerical algorithm for the determinant
evaluation of cyclic pentadiagonal
matrices with Toeplitz structure . . . . 337--348
Luis Javier Hernández Paricio Bivariate Newton--Raphson method and
toroidal attraction basins . . . . . . . 349--381
Sébastien Duminil and
Mohammed Heyouni and
Philippe Marion and
Hassane Sadok Algorithms for the CMRH method for dense
linear systems . . . . . . . . . . . . . 383--394
Haifeng Ji and
Jinru Chen and
Zhilin Li A new augmented immersed finite element
method without using SVD interpolations 395--416
Zhongdi Cen and
Aimin Xu and
Anbo Le On the hybrid finite difference scheme
for a singularly perturbed Riccati
equation . . . . . . . . . . . . . . . . 417--436
Wenjie Liu and
Jiebao Sun and
Boying Wu Galerkin--Chebyshev spectral method and
block boundary value methods for
two-dimensional semilinear parabolic
equations . . . . . . . . . . . . . . . 437--455
Miodrag S. Petkovi\'c and
Janak Raj Sharma On some efficient derivative-free
iterative methods with memory for
solving systems of nonlinear equations 457--474
Ali Ozyapici and
Bülent Bilgehan Finite product representation via
multiplicative calculus and its
applications to exponential signal
processing . . . . . . . . . . . . . . . 475--489
Behrouz Kheirfam An improved full-Newton step $ O(n) $
infeasible interior-point method for
horizontal linear complementarity
problem . . . . . . . . . . . . . . . . 491--503
Boles\law Kacewicz and
Pawel Przybylowicz On the optimal robust solution of IVPs
with noisy information . . . . . . . . . 505--518
Radu Ioan Bot and
Ernö Robert Csetnek An inertial forward-backward-forward
primal-dual splitting algorithm for
solving monotone inclusion problems . . 519--540
Pei-Chang Guo A modified large-scale
structure-preserving doubling algorithm
for a large-scale Riccati equation from
transport theory . . . . . . . . . . . . 541--552
Ulrich Abel and
Octavian Agratini Asymptotic behaviour of Jain operators 553--565
Xiuhua Wang and
Jisheng Kou Semilocal convergence of multi-point
improved super-Halley-type methods
without the second derivative under
generalized weak condition . . . . . . . 567--584
Kamen G. Ivanov and
Pencho P. Petrushev Highly effective stable evaluation of
bandlimited functions on the sphere . . 585--611
Chaoqian Li and
Hui Pei and
Aning Gao and
Yaotang Li Improvements on the infinity norm bound
for the inverse of Nekrasov matrices . . 613--630
Fayyaz Ahmad and
Emran Tohidi and
Juan A. Carrasco A parameterized multi-step Newton method
for solving systems of nonlinear
equations . . . . . . . . . . . . . . . 631--653
Zhao-Zheng Liang and
Guo-Feng Zhang On SSOR iteration method for a class of
block two-by-two linear systems . . . . 655--671
Folkert Bleichrodt and
Tristan van Leeuwen and
Willem Jan Palenstijn Easy implementation of advanced
tomography algorithms using the ASTRA
toolbox with Spot operators . . . . . . 673--697
K. Castillo and
F. Marcellán and
M. N. Rebocho Zeros of para-orthogonal polynomials and
linear spectral transformations on the
unit circle . . . . . . . . . . . . . . 699--714
Li Ming and
Li Chen-liang and
Cui Xiang-zhao and
Zhao Jin-e Cascadic multigrid methods combined with
sixth order compact scheme for Poisson
equation . . . . . . . . . . . . . . . . 715--727
S. Amat and
J. Liandrat and
J. Ruiz and
J. C. Trillo On a nonlinear mean and its application
to image compression using
multiresolution schemes . . . . . . . . 729--752
Ke Wang and
Jingjing Di and
Don Liu Improved PHSS iterative methods for
solving saddle point problems . . . . . 753--773
Ramandeep Behl and
Alicia Cordero and
Sandile S. Motsa An optimal fourth-order family of
methods for multiple roots and its
dynamics . . . . . . . . . . . . . . . . 775--796
E. M. Ferreira and
J. Sesma Global solutions of the biconfluent Heun
equation . . . . . . . . . . . . . . . . 797--809
Ángel Alberto Magreñán and
Ioannis K. Argyros Improved convergence analysis for
Newton-like methods . . . . . . . . . . 811--826
Saeed Kazem and
Edmund Chadwick and
Ali Hatam and
Mehdi Dehghan Using generating functions to convert an
implicit $ (3, 3) $ finite difference
method to an explicit form on diffusion
equation with different boundary
conditions . . . . . . . . . . . . . . . 827--854
Truong Nguyen-Ba On variable step Hermite--Birkhoff
solvers combining multistep and
$4$-stage DIRK methods for stiff ODEs 855--888
Gerlind Plonka and
Katrin Wannenwetsch A deterministic sparse FFT algorithm for
vectors with small support . . . . . . . 889--905
Nasser Akhoundi and
Iman Alimirzaei Modify Levinson algorithm for symmetric
positive definite Toeplitz system . . . 907--913
Prasit Cholamjiak A generalized forward-backward splitting
method for solving quasi inclusion
problems in Banach spaces . . . . . . . 915--932
J. P. Jaiswal Semilocal convergence of an eighth-order
method in Banach spaces and its
computational efficiency . . . . . . . . 933--951
Winfried Auzinger and
Thomas Kassebacher and
Othmar Koch and
Mechthild Thalhammer Adaptive splitting methods for nonlinear
Schrödinger equations in the
semiclassical regime . . . . . . . . . . 1--35
Zhenhua Xu and
Shuhuang Xiang On the evaluation of highly oscillatory
finite Hankel transform using special
functions . . . . . . . . . . . . . . . 37--56
Rohollah Yousefpour Combination of steepest descent and BFGS
methods for nonconvex nonsmooth
optimization . . . . . . . . . . . . . . 57--90
Wenhui Meng and
Liantang Wang Bounds for truncation errors of Graf's
and Neumann's addition theorems . . . . 91--106
C. S. Chen and
A. Karageorghis and
Yan Li On choosing the location of the sources
in the MFS . . . . . . . . . . . . . . . 107--130
André Pierro de Camargo On the numerical stability of
Floater--Hormann's rational interpolant 131--152
André Pierro de Camargo Erratum: ``On the numerical stability of
Floater--Hormann's rational
interpolant'' . . . . . . . . . . . . . 153--154
Y. Asai and
P. E. Kloeden Numerical schemes for random ODEs with
affine noise . . . . . . . . . . . . . . 155--171
XiaoLiang Dong Comment on ``A new three-term conjugate
gradient method for unconstrained
problem'' . . . . . . . . . . . . . . . 173--179
Qiu Lin and
Ruisheng Qi Stancu type generalization of the
$q$-Phillips operators . . . . . . . . . 181--193
Seakweng Vong and
Pin Lyu and
Xu Chen and
Siu-Long Lei High order finite difference method for
time-space fractional differential
equations with Caputo and
Riemann--Liouville derivatives . . . . . 195--210
Negin Bagherpour and
Nezam Mahdavi-Amiri A new error in variables model for
solving positive definite linear system
using orthogonal matrix decompositions 211--241
Ya-Jun Xie and
Chang-Feng Ma A modified positive-definite and
skew-Hermitian splitting preconditioner
for generalized saddle point problems
from the Navier--Stokes equation . . . . 243--258
Aiguo Xiao and
Xiao Tang High strong order stochastic
Runge--Kutta methods for Stratonovich
stochastic differential equations with
scalar noise . . . . . . . . . . . . . . 259--296
Simeon Reich and
Rafal Zalas A modular string averaging procedure for
solving the common fixed point problem
for quasi-nonexpansive mappings in
Hilbert space . . . . . . . . . . . . . 297--323
Yan Dou and
Ai-Li Yang and
Yu-Jiang Wu Modified parameterized inexact Uzawa
method for singular saddle-point
problems . . . . . . . . . . . . . . . . 325--339
Marco Donatelli and
Thomas Huckle and
Mariarosa Mazza and
Debora Sesana Image deblurring by sparsity constraint
on the Fourier coefficients . . . . . . 341--361
Changbum Chun and
Beny Neta On the new family of optimal eighth
order methods developed by Lotfi et al. 363--376
M. L. N. Gonçalves Inexact Gauss--Newton like methods for
injective-overdetermined systems of
equations under a majorant condition . . 377--392
Xiuling Hu and
F. Liu and
I. Turner and
V. Anh An implicit numerical method of a new
time distributed-order and two-sided
space-fractional advection-dispersion
equation . . . . . . . . . . . . . . . . 393--407
H. J. Wang and
F. Chen and
H. Liu and
Q. Wang Incomplete Newton--Ulm method for large
scale nonlinear equations . . . . . . . 409--424
Saman Babaie-Kafaki A modified scaling parameter for the
memoryless BFGS updating formula . . . . 425--433
M. García-Esnaola and
J. M. Peña $B$-Nekrasov matrices and error bounds
for linear complementarity problems . . 435--445
P. Zhuang and
F. Liu and
I. Turner and
V. Anh Galerkin finite element method and error
analysis for the fractional cable
equation . . . . . . . . . . . . . . . . 447--466
Nguyen Buong and
Nguyen Song Ha and
Nguyen Thi Thu Thuy A new explicit iteration method for a
class of variational inequalities . . . 467--481
Hamid Moghaderi and
Mehdi Dehghan and
Masoud Hajarian A fast and efficient two-grid method for
solving $d$-dimensional Poisson
equations . . . . . . . . . . . . . . . 483--537
Vahid Morovati and
Latif Pourkarimi and
Hadi Basirzadeh Barzilai and Borwein's method for
multiobjective optimization problems . . 539--604
Ron Goldman and
Plamen Simeonov Novel polynomial Bernstein bases and
Bézier curves based on a general notion
of polynomial blossoming . . . . . . . . 605--634
Mohamed Kamel Riahi A new approach to improve
ill-conditioned parabolic optimal
control problem via time domain
decomposition . . . . . . . . . . . . . 635--666
Minhong Chen and
Qingbiao Wu and
Rongfei Lin Semilocal convergence analysis for the
modified Newton--HSS method under the
Hölder condition . . . . . . . . . . . . 667--685
Y. Chen and
Chang-Ming Chen Numerical method with high order
accuracy for solving a anomalous
subdiffusion equation . . . . . . . . . 687--703
Ping Yin and
Jacques Liandrat A smooth fictitious
domain/multiresolution method for
elliptic equations on general domains 705--720
Alfredo N. Iusem and
Joaquim J. Júdice and
Valentina Sessa and
Hanif D. Sherali On the numerical solution of the
quadratic eigenvalue complementarity
problem . . . . . . . . . . . . . . . . 721--747
L. B. Feng and
P. Zhuang and
F. Liu and
I. Turner and
Y. T. Gu Finite element method for space-time
fractional diffusion equation . . . . . 749--767
Peiyuan Wang and
Haiyun Zhou and
Jianjun Zhou A new convergence theorem of a
projection algorithm with variable steps
for variational inequalities . . . . . . 769--773
Philipp H. W. Hoffmann A Hitchhiker's Guide to Automatic
Differentiation . . . . . . . . . . . . 775--811
Hong-tao Fan and
Bing Zheng and
Xin-yun Zhu A relaxed positive semi-definite and
skew-Hermitian splitting preconditioner
for non-Hermitian generalized saddle
point problems . . . . . . . . . . . . . 813--834
Y. Shehu and
O. S. Iyiola and
C. D. Enyi An iterative algorithm for solving split
feasibility problems and fixed point
problems in Banach spaces . . . . . . . 835--864
Dawei Lu and
Lixin Song and
Congxu Ma A quicker continued fraction
approximation of the gamma function
related to the Windschitl's formula . . 865--874
P. Mokhtary Numerical treatment of a well-posed
Chebyshev Tau method for Bagley--Torvik
equation with high-order of accuracy . . 875--891
Esmail Hesameddini and
Elham Asadollahifard A new reliable algorithm based on the
sinc function for the time fractional
diffusion equation . . . . . . . . . . . 893--913
Ximei Yang and
Yinkui Zhang and
Hongwei Liu and
Yonggang Pei A Mizuno--Todd--Ye predictor--corrector
infeasible-interior-point method for
linear programming over symmetric cones 915--936
Alicia Cordero and
Munish Kansal and
Vinay Kanwar and
Juan R. Torregrosa A stable class of improved
second-derivative free Chebyshev--Halley
type methods with optimal eighth order
convergence . . . . . . . . . . . . . . 937--958
K. Sayevand and
M. R. Rostami General fractional variational problem
depending on indefinite integrals . . . 959--987
Shijun Liao and
Yinlong Zhao On the method of directly defining
inverse mapping for nonlinear
differential equations . . . . . . . . . 989--1020
Nicholas J. Higham and
Nata\vsa Strabi\'c Anderson acceleration of the alternating
projections method for computing the
nearest correlation matrix . . . . . . . 1021--1042
Guangxin Huang and
Lothar Reichel and
Feng Yin On the choice of solution subspace for
nonstationary iterated Tikhonov
regularization . . . . . . . . . . . . . 1043--1063
Zhang Xiao-yong and
Li Jun-lin Laguerre approximation with negative
integer and its application for the
delay differential equation . . . . . . 1065--1087
Higinio Ramos and
Z. Kalogiratou and
Th. Monovasilis and
T. E. Simos An optimized two-step hybrid block
method for solving general second order
initial-value problems . . . . . . . . . 1089--1102
Dongdong He An unconditionally stable spatial
sixth-order CCD--ADI method for the
two-dimensional linear telegraph
equation . . . . . . . . . . . . . . . . 1103--1117
Calin-Ioan Gheorghiu Spectral collocation solutions to
systems of boundary layer type . . . . . 1--14
Annie Cuyt and
Oliver Salazar Celis and
Maryna Lukach and
Karel in 't Hout Analytic models for parameter dependency
in option price modelling . . . . . . . 15--31
Heinz H. Bauschke and
J. Y. Bello Cruz and
Tran T. A. Nghia and
Hung M. Pha and
Xianfu Wang Optimal Rates of Linear Convergence of
Relaxed Alternating Projections and
Generalized Douglas--Rachford Methods
for Two Subspaces . . . . . . . . . . . 33--76
Zhen Chao and
Guo-Liang Chen A generalized modified HSS method for
singular complex symmetric linear
systems . . . . . . . . . . . . . . . . 77--89
A. H. Bhrawy A Jacobi spectral collocation method for
solving multi-dimensional nonlinear
fractional sub-diffusion equations . . . 91--113
Long Jin and
Yunong Zhang Continuous and discrete Zhang dynamics
for real-time varying nonlinear
optimization . . . . . . . . . . . . . . 115--140
Beatriz Campos and
Alicia Cordero and
Juan R. Torregrosa and
Pura Vindel Orbits of period two in the family of a
multipoint variant of Chebyshev--Halley
family . . . . . . . . . . . . . . . . . 141--156
Michael S. Floater A generalized mean value property for
polyharmonic functions . . . . . . . . . 157--165
Martin J. Gander and
Laurence Halpern and
Véronique Martin A new algorithm based on factorization
for heterogeneous domain decomposition 167--195
Dang Van Hieu and
Le Dung Muu and
Pham Ky Anh Parallel hybrid extragradient methods
for pseudomonotone equilibrium problems
and nonexpansive mappings . . . . . . . 197--217
Aifan Ling An inexact non-interior continuation
method for semidefinite programming:
convergence analysis and numerical
results . . . . . . . . . . . . . . . . 219--244
Marzieh Dehghani-Madiseh and
Mehdi Dehghan Parametric AE-solution sets to the
parametric linear systems with multiple
right-hand sides and parametric matrix
equation $ A(p) X = B(p) $ . . . . . . . 245--279
Daniel J. Bates and
Jonathan D. Hauenstein and
Matthew E. Niemerg and
Frank Sottile Software for the Gale transform of
fewnomial systems and a Descartes rule
for fewnomials . . . . . . . . . . . . . 281--304
S. Pishbin Numerical solution and structural
analysis of two-dimensional
integral-algebraic equations . . . . . . 305--322
Pawel Przybylowicz Optimal global approximation of
stochastic differential equations with
additive Poisson noise . . . . . . . . . 323--348
Nicholas J. Higham and
Vanni Noferini An algorithm to compute the polar
decomposition of a $ 3 \times 3 $ matrix 349--369
A. Movahedinejad and
G. Hojjati and
A. Abdi Second derivative general linear methods
with inherent Runge--Kutta stability . . 371--389
Taher Lotfi and
Mehdi Rashidi and
Katauoun Mahdiani A posteriori analysis: error estimation
for the eighth order boundary value
problems in reproducing Kernel space . . 391--406
Douglas S. Gonçalves and
Sandra A. Santos Local analysis of a spectral correction
for the Gauss--Newton model applied to
quadratic residual problems . . . . . . 407--431
Yan Mei Chen and
Xiao Shan Chen and
Wen Li On perturbation bounds for orthogonal
projections . . . . . . . . . . . . . . 433--444
Mehdi Dehghan and
Mostafa Abbaszadeh and
Akbar Mohebbi Analysis of a meshless method for the
time fractional diffusion-wave equation 445--476
Patrycja Jaros and
\Lukasz Ma\'slanka and
Filip Strobin Algorithms generating images of
attractors of generalized iterated
function systems . . . . . . . . . . . . 477--499
Qing-Qing Zheng and
Chang-Feng Ma Accelerated PMHSS iteration methods for
complex symmetric linear systems . . . . 501--516
K. Mustapha and
B. Abdallah and
K. M. Furati and
M. Nour A discontinuous Galerkin method for time
fractional diffusion equations with
variable coefficients . . . . . . . . . 517--534
Diana Estévez Schwarz and
René Lamour A new projector based decoupling of
linear DAEs for monitoring singularities 535--565
Philippos Constantinou and
Charalambia Varnava and
Christos Xenophontos An $ h p $ finite element method for
$4$-th order singularly perturbed
problems . . . . . . . . . . . . . . . . 567--590
Masoud Hajarian Generalized conjugate direction
algorithm for solving the general
coupled matrix equations over symmetric
matrices . . . . . . . . . . . . . . . . 591--609
Hartwig Anzt and
Edmond Chow and
Jens Saak and
Jack Dongarra Updating incomplete factorization
preconditioners for model order
reduction . . . . . . . . . . . . . . . 611--630
Owe Axelsson and
Shiraz Farouq and
Maya Neytcheva Comparison of preconditioned Krylov
subspace iteration methods for
PDE-constrained optimization problems 631--663
Apostolos Hadjidimos and
Michael Tzoumas The solution of the linear
complementarity problem by the matrix
analogue of the accelerated
overrelaxation iterative method . . . . 665--684
M. Ghasemi On using cubic spline for the solution
of problems in calculus of variations 685--710
Jiyong Li and
Xianfen Wang Multi-step hybrid methods for special
second-order differential equations $
y^{''}(t) = f(t, y(t)) $ . . . . . . . . 711--733
Claude-Pierre Jeannerod and
Nicolas Louvet and
Jean-Michel Muller and
Antoine Plet Sharp error bounds for complex
floating-point inversion . . . . . . . . 735--760
Chao-Ping Chen Inequalities and asymptotics for the
Euler--Mascheroni constant based on
DeTemple's result . . . . . . . . . . . 761--774
Ana Maria Acu and
Ioan Rasa New estimates for the differences of
positive linear operators . . . . . . . 775--789
Stefania Petra and
Constantin Popa Single projection Kaczmarz extended
algorithms . . . . . . . . . . . . . . . 791--806
Stephen L. Campbell and
John T. Betts Comments on direct transcription
solution of DAE constrained optimal
control problems with two discretization
approaches . . . . . . . . . . . . . . . 807--838
A. Hajej Error estimates for approximation
schemes of effective Hamiltonians
arising in stochastic homogenization of
Hamilton--Jacobi equations . . . . . . . 839--868
Gang Cai and
Yekini Shehu and
Olaniyi Samuel Iyiola Iterative algorithms for solving
variational inequalities and fixed point
problems for asymptotically nonexpansive
mappings in Banach spaces . . . . . . . 869--906
T. Nikazad and
M. Karimpour Controlling noise error in block
iterative methods . . . . . . . . . . . 907--925
Davod Hezari and
Davod Khojasteh Salkuyeh and
Vahid Edalatpour A new iterative method for solving a
class of complex symmetric system of
linear equations . . . . . . . . . . . . 927--955
Jueyu Wang and
Detong Zhu Conjugate gradient path method without
line search technique for
derivative-free unconstrained
optimization . . . . . . . . . . . . . . 957--983
Chaoqian Li and
Yaotang Li Weakly chained diagonally dominant
$B$-matrices and error bounds for linear
complementarity problems . . . . . . . . 985--998
Morteza Kimiaei and
Hamid Esmaeili A trust-region approach with novel
filter adaptive radius for system of
nonlinear equations . . . . . . . . . . 999--1016
Munish Kansal and
V. Kanwar and
Saurabh Bhatia Efficient derivative-free variants of
Hansen--Patrick's family with memory for
solving nonlinear equations . . . . . . 1017--1036
Hao Chen A splitting preconditioner for implicit
Runge--Kutta discretizations of a
partial differential-algebraic equation 1037--1054
R. M. Asharabi Generalized sinc-Gaussian sampling
involving derivatives . . . . . . . . . 1055--1072
Cairong Chen and
Changfeng Ma A generalization of the HSS-based
sequential two-stage method for solving
non-Hermitian saddle point problems . . 1073--1090
N. Kachakhidze and
N. Khomeriki and
J. Peradze and
Z. Tsiklauri Chipot's method for a one-dimensional
Kirchhoff static equation . . . . . . . 1091--1106
Quang Van Nguyen Variable quasi-Bregman monotone
sequences . . . . . . . . . . . . . . . 1107--1130
Froilán M. Dopico and
Kenet Pomés Structured condition numbers for linear
systems with parameterized
quasiseparable coefficient matrices . . 1131--1158
Haotao Cai and
Jiafei Qi A Legendre--Galerkin method for solving
general Volterra functional integral
equations . . . . . . . . . . . . . . . 1159--1180
J. M. Carnicer and
C. Godés Interpolation with symmetric polynomials 1--18
Owe Axelsson and
Shiraz Farouq and
Maya Neytcheva Comparison of preconditioned Krylov
subspace iteration methods for
PDE-constrained optimization problems 19--37
Xu Yang and
Xiaojie Wang A transformed jump-adapted backward
Euler method for jump-extended CIR and
CEV models . . . . . . . . . . . . . . . 39--57
Miglena N. Koleva and
Walter Mudzimbabwe and
Lubin G. Vulkov Fourth-order compact schemes for a
parabolic-ordinary system of European
option pricing liquidity shocks model 59--75
A. Gil and
J. Segura and
N. M. Temme Efficient algorithms for the inversion
of the cumulative central beta
distribution . . . . . . . . . . . . . . 77--91
Behrouz Kheirfam An infeasible full-NT step interior
point algorithm for CQSCO . . . . . . . 93--109
Marcella Bonazzoli and
Francesca Rapetti High-order finite elements in numerical
electromagnetism: degrees of freedom and
generators in duality . . . . . . . . . 111--136
Hua Zheng and
Wen Li and
Seakweng Vong A relaxation modulus-based matrix
splitting iteration method for solving
linear complementarity problems . . . . 137--152
Jianyu Pan and
Michael Ng and
Hong Wang Fast preconditioned iterative methods
for finite volume discretization of
steady-state space-fractional diffusion
equations . . . . . . . . . . . . . . . 153--173
Francesc Ar\`andiga and
Rosa Donat and
José J. Noguera Generalizing the ENO--DB2 $p$ transform
using the inverse wavelet transform . . 175--198
Yaotang Li and
Qilong Liu and
Liqun Qi Programmable criteria for strong $
\mathcal {H} $-tensors . . . . . . . . . 199--221
P. Rahimkhani and
Y. Ordokhani and
E. Babolian A new operational matrix based on
Bernoulli wavelets for solving
fractional delay differential equations 223--245
Mukaddes Ökten Turaci and
Turgut Özis Derivation of three-derivative
Runge--Kutta methods . . . . . . . . . . 247--265
P. L. Ndukum and
T. A. Biala and
S. N. Jator and
R. B. Adeniyi On a family of trigonometrically fitted
extended backward differentiation
formulas for stiff and oscillatory
initial value problems . . . . . . . . . 267--287
Homa Zadvan and
Jalil Rashidinia Non-polynomial spline method for the
solution of two-dimensional linear wave
equations with a nonlinear source term 289--306
N. D. Boltaev and
A. R. Hayotov and
Kh. M. Shadimetov Construction of optimal quadrature
formulas for Fourier coefficients in
Sobolev space $ L_2^{(m)}(0, 1) $ . . . 307--336
J. Cerdán and
J. Marín and
J. Mas Low-rank updates of balanced incomplete
factorization preconditioners . . . . . 337--370
S. Amat and
Ioannis K. Argyros and
S. Busquier and
Á. Alberto Magreñán Local convergence and the dynamics of a
two-point four parameter Jarratt-like
method under weak conditions . . . . . . 371--391
Christophe Besse and
Feng Xing Schwarz waveform relaxation method for
one-dimensional Schrödinger equation with
general potential . . . . . . . . . . . 393--426
R. K. Mohanty and
Deepti Kaur Numerov type variable mesh
approximations for $1$D unsteady
quasi-linear biharmonic problem:
application to Kuramoto--Sivashinsky
equation . . . . . . . . . . . . . . . . 427--459
Xue-Feng Duan and
Chun-Mei Li and
Jiao-Fen Li and
Yong Ding Numerical methods for solving some
matrix feasibility problems . . . . . . 461--479
R. M. Asharabi and
H. S. Al-Abbas Truncation error estimates for
generalized Hermite sampling . . . . . . 481--497
Meng Li and
Chengming Huang and
Pengde Wang Galerkin finite element method for
nonlinear fractional Schrödinger
equations . . . . . . . . . . . . . . . 499--525
Chiheb Ben Hammouda and
Alvaro Moraes and
Raúl Tempone Multilevel hybrid split-step implicit
tau-leap . . . . . . . . . . . . . . . . 527--560
Jacopo Castellini Krylov iterative methods for the
geometric mean of two matrices times a
vector . . . . . . . . . . . . . . . . . 561--571
Wei Liu and
Xuerong Mao Almost sure stability of the
Euler--Maruyama method with random
variable stepsize for stochastic
differential equations . . . . . . . . . 573--592
Kalyanasundaram Madhu and
D. K. R. Babajee and
Jayakumar Jayaraman An improvement to double-step Newton
method and its multi-step version for
solving system of nonlinear equations
and its applications . . . . . . . . . . 593--607
P. Majee and
C. Nahak A hybrid viscosity iterative method with
averaged mappings for split equilibrium
problems and fixed point problems . . . 609--635
Walter Gautschi Erratum to: Sub-range Jacobi polynomials 637--637
J. P. Jaiswal Erratum to: Semilocal convergence of an
eighth-order method in Banach spaces and
its computational efficiency . . . . . . 639--641
Xiuhua Wang and
Jisheng Kou Semilocal convergence on a family of
root-finding multi-point methods in
Banach spaces under relaxed continuity
condition . . . . . . . . . . . . . . . 643--657
Jin-Liang Yan and
Qian Zhang and
Zhi-Yue Zhang and
Dong Liang A new high-order energy-preserving
scheme for the modified Korteweg--de
Vries equation . . . . . . . . . . . . . 659--674
Guang-hua Gao and
Zhi-zhong Sun Two difference schemes for solving the
one-dimensional time distributed-order
fractional wave equations . . . . . . . 675--697
Huipo Liu and
Shuanghu Wang A two-grid discretization scheme for
optimal control problems of elliptic
equations . . . . . . . . . . . . . . . 699--716
Jingwei Deng and
Lijing Zhao and
Yujiang Wu Fast predictor--corrector approach for
the tempered fractional differential
equations . . . . . . . . . . . . . . . 717--754
Per Bergström and
Ove Edlund Robust registration of surfaces using a
refined iterative closest point
algorithm with a trust region approach 755--779
Davod Khojasteh Salkuyeh and
Mohsen Masoudi A new relaxed HSS preconditioner for
saddle point problems . . . . . . . . . 781--795
Kendall Atkinson and
David Chien and
Olaf Hansen A spectral method for nonlinear elliptic
equations . . . . . . . . . . . . . . . 797--819
John W. Pearson and
Sheehan Olver and
Mason A. Porter Numerical methods for the computation of
the confluent and Gauss hypergeometric
functions . . . . . . . . . . . . . . . 821--866
Zisheng Liu and
Jicheng Li and
Wenbo Li and
Pingfan Dai A modified greedy analysis pursuit
algorithm for the cosparse analysis
model . . . . . . . . . . . . . . . . . 867--887
Jian-Hua Zhang and
Hua Dai A new block preconditioner for complex
symmetric indefinite linear systems . . 889--903
Tommy Elfving and
Per Christian Hansen and
Touraj Nikazad Convergence analysis for column-action
methods in image reconstruction . . . . 905--924
Tommy Elfving and
Per Christian Hansen and
Touraj Nikazad Erratum to: Convergence analysis for
column-action methods in image
reconstruction . . . . . . . . . . . . . 925--925
Fenghui Wang On the convergence of CQ algorithm with
variable steps for the split equality
problem . . . . . . . . . . . . . . . . 927--935
Avram Sidi On a vectorized version of a generalized
Richardson extrapolation process . . . . 937--949
S.-S. Chow and
A. Washburn A shooting like method for non-Darcian
seepage flow problems . . . . . . . . . 951--966
Yaguang Yang CurveLP --- a MATLAB implementation of
an infeasible interior-point algorithm
for linear programming . . . . . . . . . 967--996
Chaoqian Li and
Pingfan Dai and
Yaotang Li New error bounds for linear
complementarity problems of Nekrasov
matrices and $B$-Nekrasov matrices . . . 997--1009
Sergio Amat and
Vicente F. Candela On the convergence of a local third
order shock capturing method for
hyperbolic conservation laws . . . . . . 1011--1028
Xianfeng Hu and
Mark Iwen and
Hyejin Kim Rapidly computing sparse Legendre
expansions via sparse Fourier transforms 1029--1059
Daniele Bertaccini and
Fabio Durastante Solving mixed classical and fractional
partial differential equations using
short-memory principle and approximate
inverses . . . . . . . . . . . . . . . . 1061--1082
Bernard Bialecki and
Ryan I. Fernandes Alternating direction implicit
orthogonal spline collocation on some
non-rectangular regions with
inconsistent partitions . . . . . . . . 1083--1100
Jonathan Calver and
Wayne Enright Numerical methods for computing
sensitivities for ODEs and DDEs . . . . 1101--1117
Ali Foroush Bastani and
Davood Damircheli An adaptive algorithm for solving
stochastic multi-point boundary value
problems . . . . . . . . . . . . . . . . 1119--1143
Rezvan Salehi A meshless point collocation method for
$2$-D multi-term time fractional
diffusion-wave equation . . . . . . . . 1145--1168
Changbum Chun and
Beny Neta Comparative study of eighth-order
methods for finding simple roots of
nonlinear equations . . . . . . . . . . 1169--1201
A. Borhanifar and
S. Shahmorad and
E. Feizi A matrix formulated algorithm for
solving parabolic equations with
nonlocal boundary conditions . . . . . . 1203--1221
Eleonora Messina and
Antonia Vecchio A sufficient condition for the stability
of direct quadrature methods for
Volterra integral equations . . . . . . 1223--1236
Claude Brezinski and
Michela Redivo-Zaglia The simplified topological $ \epsilon
$-algorithms: software and applications 1237--1260
Woula Themistoclakis and
Marc Van Barel Generalized de la Vallée Poussin
approximations on $ [ - 1, 1] $ . . . . 1--31
Qin-Qin Shen and
Yang Cao and
Li Wang Two improvements of the deteriorated PSS
preconditioner for generalized saddle
point problems . . . . . . . . . . . . . 33--54
Yang Li and
Xue-Ping Guo Multi-step modified Newton--HSS methods
for systems of nonlinear equations with
positive definite Jacobian matrices . . 55--80
Anastasia Zakharova Total variation reconstruction from
quadratic measurements . . . . . . . . . 81--92
Stanis\law Lewanowicz and
Pawe\l Keller and
Pawe\l Wo\'zny Constrained approximation of rational
triangular Bézier surfaces by polynomial
triangular Bézier surfaces . . . . . . . 93--111
Komal Bansal and
Kapil K. Sharma Parameter uniform numerical scheme for
time dependent singularly perturbed
convection-diffusion-reaction problems
with general shift arguments . . . . . . 113--145
A. Q. M. Khaliq and
X. Liang and
K. M. Furati A fourth-order implicit-explicit scheme
for the space fractional nonlinear
Schrödinger equations . . . . . . . . . . 147--172
Mostafa Abbaszadeh and
Mehdi Dehghan An improved meshless method for solving
two-dimensional distributed order
time-fractional diffusion-wave equation
with error estimate . . . . . . . . . . 173--211
Sunil Kumar and
Amit Kumar and
Ioannis K. Argyros A new analysis for the Keller--Segel
model of fractional order . . . . . . . 213--228
I. K. Argyros and
M. A. Hernández-Verón and
M. J. Rubio Convergence of Steffensen's method for
non-differentiable operators . . . . . . 229--244
Xue-Yuan Tan Shifted SSOR-like preconditioner for
non-Hermitian positive definite matrices 245--260
Winfried Auzinger and
Othmar Koch and
Michael Quell Adaptive high-order splitting methods
for systems of nonlinear evolution
equations with periodic boundary
conditions . . . . . . . . . . . . . . . 261--283
O. Abidi and
M. Heyouni and
K. Jbilou On some properties of the extended block
and global Arnoldi methods with
applications to model reduction . . . . 285--304
N. Mahdavi-Amiri and
M. Shaeiri An adaptive competitive penalty method
for nonsmooth constrained optimization 305--336
Anonymous Special issue: recent progress on
iterative methods for large systems of
equations . . . . . . . . . . . . . . . 337--338
Rui Li and
Jun-Feng Yin Accelerated modulus-based matrix
splitting iteration methods for a
restricted class of nonlinear
complementarity problems . . . . . . . . 339--358
Enyinda Onunwor and
Lothar Reichel On the computation of a truncated SVD of
a large linear discrete ill-posed
problem . . . . . . . . . . . . . . . . 359--380
Pengpeng Xie and
Hua Xiang and
Yimin Wei A contribution to perturbation analysis
for total least squares problems . . . . 381--395
Kensuke Aihara Variants of the groupwise update
strategy for short-recurrence Krylov
subspace methods . . . . . . . . . . . . 397--412
Akira Imakura and
Tetsuya Sakurai Block Krylov-type complex moment-based
eigensolvers for solving generalized
eigenvalue problems . . . . . . . . . . 413--433
Huai-An Diao and
Yimin Wei and
Pengpeng Xie Small sample statistical condition
estimation for the total least squares
problem . . . . . . . . . . . . . . . . 435--455
Keiichi Morikuni Multistep matrix splitting iteration
preconditioning for singular linear
systems . . . . . . . . . . . . . . . . 457--475
L. Dykes and
S. Noschese and
L. Reichel Circulant preconditioners for discrete
ill-posed Toeplitz systems . . . . . . . 477--490
J. Marín and
J. Mas and
D. Guerrero and
K. Hayami Updating preconditioners for modified
least squares problems . . . . . . . . . 491--508
Higinio Ramos and
Gurjinder Singh and
V. Kanwar and
Saurabh Bhatia An embedded $ 3 (2) $ pair of nonlinear
methods for solving first order
initial-value ordinary differential
systems . . . . . . . . . . . . . . . . 509--529
Pradip Roul and
Dipak Biswal A new numerical approach for solving a
class of singular two-point boundary
value problems . . . . . . . . . . . . . 531--552
Ioannis K. Argyros and
Santhosh George On the convergence of Newton-like
methods using restricted domains . . . . 553--567
H. Zhang and
F. Liu and
I. Turner and
S. Chen and
Q. Yang Numerical simulation of a Finite Moment
Log Stable model for a European call
option . . . . . . . . . . . . . . . . . 569--585
Amit Bhaya and
Pierre-Alexandre Bliman and
Fernando Pazos Cooperative concurrent asynchronous
computation of the solution of symmetric
linear systems . . . . . . . . . . . . . 587--617
Sudeep Kundu and
Saumya Bajpai and
Amiya K. Pani Asymptotic behavior and finite element
error estimates of Kelvin--Voigt
viscoelastic fluid flow model . . . . . 619--653
Ana Marco and
José-Javier Martínez and
Raquel Viana Accurate polynomial interpolation by
using the Bernstein basis . . . . . . . 655--674
C.-H. Cho A numerical algorithm for blow-up
problems revisited . . . . . . . . . . . 675--697
Jun Liu and
Yao-Lin Jiang and
Yan Wang A Fast and Stable Algorithm for Linear
Parabolic Partial Differential Equations 699--729
Franck Delvare and
Alain Cimeti\`ere Unique discrete harmonic continuation
and data completion problems using the
fading regularization method . . . . . . 731--751
Longbin Zhao and
Chengming Huang An adaptive Filon-type method for
oscillatory integrals without stationary
points . . . . . . . . . . . . . . . . . 753--775
Andrzej Marciniak and
Ma\lgorzata A. Jankowska and
Tomasz Hoffmann On interval predictor--corrector methods 777--808
C. Clavero and
J. C. Jorge A fractional step method for $2$D
parabolic convection-diffusion
singularly perturbed problems: uniform
convergence and order reduction . . . . 809--826
Laurent Gajny and
Olivier Gibaru and
Eric Nyiri and
Shu-Cherng Fang Best $ L_1 $ approximation of
Heaviside-type functions from Chebyshev
and weak-Chebyshev spaces . . . . . . . 827--843
Hong-lin Liao and
Pin Lyu and
Seakweng Vong and
Ying Zhao Stability of fully discrete schemes with
interpolation-type fractional formulas
for distributed-order subdiffusion
equations . . . . . . . . . . . . . . . 845--878
M. Chau and
A. Laouar and
T. Garcia and
P. Spiteri Grid solution of problem with unilateral
constraints . . . . . . . . . . . . . . 879--908
Xianyang Zeng and
Hongli Yang and
Xinyuan Wu An improved tri-coloured rooted-tree
theory and order conditions for ERKN
methods for general multi-frequency
oscillatory systems . . . . . . . . . . 909--935
Prabir Daripa and
Aditi Ghosh The FFTRR-based fast direct algorithms
for complex inhomogeneous biharmonic
problems with applications to
incompressible flows . . . . . . . . . . 937--971
M. J. Senosiain and
A. Tocino Two-step strong order $ 1.5 $ schemes
for stochastic differential equations 973--1003
Fu-jun Liu and
Hui-yuan Li and
Zhong-qing Wang Spectral methods using generalized
Laguerre functions for second and fourth
order problems . . . . . . . . . . . . . 1005--1040
M. Jani and
E. Babolian and
S. Javadi and
D. Bhatta Banded operational matrices for
Bernstein polynomials and application to
the fractional advection-dispersion
equation . . . . . . . . . . . . . . . . 1041--1063
Wataru Takahashi The split common null point problem for
generalized resolvents in two Banach
spaces . . . . . . . . . . . . . . . . . 1065--1078
Kanae Akaiwa and
Yoshimasa Nakamura and
Masashi Iwasaki and
Akira Yoshida and
Koichi Kondo An arbitrary band structure construction
of totally nonnegative matrices with
prescribed eigenvalues . . . . . . . . . 1079--1101
Yi-Fen Ke and
Chang-Feng Ma An inexact modified relaxed splitting
preconditioner for the generalized
saddle point problems from the
incompressible Navier--Stokes equations 1103--1121
Rui-Ping Wen and
Fu-Jiao Ren and
Guo-Yan Meng Modified quasi-Chebyshev acceleration to
nonoverlapping parallel multisplitting
method . . . . . . . . . . . . . . . . . 1123--1140
Oliver J. Sutton The virtual element method in 50 lines
of MATLAB . . . . . . . . . . . . . . . 1141--1159
Zheng-Ge Huang and
Li-Gong Wang and
Zhong Xu and
Jing-Jing Cui A generalized variant of the
deteriorated PSS preconditioner for
nonsymmetric saddle point problems . . . 1161--1191
Stoil I. Ivanov A unified semilocal convergence analysis
of a family of iterative algorithms for
computing all zeros of a polynomial
simultaneously . . . . . . . . . . . . . 1193--1204
Marcel Schweitzer A two-sided short-recurrence extended
Krylov subspace method for nonsymmetric
matrices and its relation to rational
moment matching . . . . . . . . . . . . 1--31
Ryo Kobayashi and
Takuma Kimura and
Shin'ichi Oishi A method for verifying the accuracy of
numerical solutions of symmetric saddle
point linear systems . . . . . . . . . . 33--51
Rachid Ait-Haddou $q$-Blossoming and Hermite--Padé
approximants to the $q$-exponential
function . . . . . . . . . . . . . . . . 53--66
Ky Anh Pham and
Ngoc Hai Trinh Splitting extragradient-like algorithms
for strongly pseudomonotone equilibrium
problems . . . . . . . . . . . . . . . . 67--91
Shi-Liang Wu and
Cui-Xia Li Modified complex-symmetric and
skew-Hermitian splitting iteration
method for a class of complex-symmetric
indefinite linear systems . . . . . . . 93--107
Sascha Wörz and
Heinz Bernhardt A global convergent derivative-free
method for solving a system of
non-linear equations . . . . . . . . . . 109--124
Lukasz Plociniczak and
Szymon Sobieszek Numerical schemes for
integro-differential equations with
Erdélyi--Kober fractional operator . . . 125--150
Robert A. Van Gorder On the utility of the homotopy analysis
method for non-analytic and global
solutions to nonlinear differential
equations . . . . . . . . . . . . . . . 151--162
Ali Baharev and
Ferenc Domes and
Arnold Neumaier A robust approach for finding all
well-separated solutions of sparse
systems of nonlinear equations . . . . . 163--189
Benjamin Kehlet and
Anders Logg A posteriori error analysis of round-off
errors in the numerical solution of
ordinary differential equations . . . . 191--210
Michael A. Jandron and
Anthony A. Ruffa and
James Baglama An asynchronous direct solver for banded
linear systems . . . . . . . . . . . . . 211--235
Jiyong Li Trigonometrically fitted multi-step
Runge--Kutta methods for solving
oscillatory initial value problems . . . 237--258
Yekini Shehu and
Olaniyi S. Iyiola Strong convergence result for monotone
variational inequalities . . . . . . . . 259--282
Mona Narang and
Saurabh Bhatia and
Vinay Kanwar New efficient derivative free family of
seventh-order methods for solving
systems of nonlinear equations . . . . . 283--307
M. A. Hernández-Verón and
Eulalia Martínez and
Carles Teruel Semilocal convergence of a $k$-step
iterative process and its application
for solving a special kind of
conservative problems . . . . . . . . . 309--331
Gradimir V. Milovanovi\'c Symbolic--numeric computation of
orthogonal polynomials and Gaussian
quadratures with respect to the cardinal
$B$-spline . . . . . . . . . . . . . . . 333--347
Sunil Kumar and
Mukesh Kumar A second order uniformly convergent
numerical scheme for parameterized
singularly perturbed delay differential
problems . . . . . . . . . . . . . . . . 349--360
Maged Alkilayh and
Lothar Reichel and
Jin Yun Yuan New zero-finders for trust-region
computations . . . . . . . . . . . . . . 361--375
Rafa\l Nowak and
Pawe\l Wo\'zny New properties of a certain method of
summation of generalized hypergeometric
series . . . . . . . . . . . . . . . . . 377--391
Zhen Wang and
Li Zou and
Yupeng Qin Piecewise homotopy analysis method and
convergence analysis for formally
well-posed initial value problems . . . 393--411
Jing-Tao Li and
Chang-Feng Ma The parameterized upper and lower
triangular splitting methods for saddle
point problems . . . . . . . . . . . . . 413--425
Dang Quang A and
Dang Quang Long and
Ngo Thi Kim Quy A novel efficient method for nonlinear
boundary value problems . . . . . . . . 427--439
Qi Zhang and
Yangzhang Zhao and
Jeremy Levesley Adaptive radial basis function
interpolation using an error indicator 441--471
Linsen Song and
Yan Gao A nonsmooth Levenberg--Marquardt method
for vertical complementarity problems 473--485
Xiaoxu Zhong and
Shijun Liao On the homotopy analysis method for
backward/forward--backward stochastic
differential equations . . . . . . . . . 487--519
Gang Cai and
Yekini Shehu and
Olaniyi Samuel Iyiola Viscosity iterative algorithms for fixed
point problems of asymptotically
nonexpansive mappings in the
intermediate sense and variational
inequality problems in Banach spaces . . 521--553
Antonio Garijo and
Xavier Jarque and
Jordi Villadelprat An effective algorithm to compute
Mandelbrot sets in parameter planes . . 555--571
Pu Zhang and
Hai Pu A second-order compact difference scheme
for the fourth-order fractional
sub-diffusion equation . . . . . . . . . 573--598
Stefania Petra and
Constantin Popa Erratum to: \booktitleSingle projection
Kaczmarz extended algorithms . . . . . . 599--604
Yun-Chi Huang and
Siu-Long Lei A fast numerical method for block lower
triangular Toeplitz with dense Toeplitz
blocks system with applications to
time-space fractional diffusion
equations . . . . . . . . . . . . . . . 605--616
Raoul Bourquin Algorithms for the construction of
high-order Kronrod rule extensions with
application to sparse-grid integration 617--637
Cleonice F. Bracciali and
Michael Carley Quasi-analytical root-finding for
non-polynomial functions . . . . . . . . 639--653
Rashad M. Asharabi and
Mohammed M. Tharwat Approximating eigenvalues of Dirac
system with discontinuities at several
points using Hermite--Gauss method . . . 655--673
Abderrahim Messaoudi and
Hassane Sadok Recursive polynomial interpolation
algorithm (RPIA) . . . . . . . . . . . . 675--694
Leilei Wei Stability and convergence of a fully
discrete local discontinuous Galerkin
method for multi-term time fractional
diffusion equations . . . . . . . . . . 695--707
Phung Van Manh Hermite interpolation with symmetric
polynomials . . . . . . . . . . . . . . 709--725
Guidong Liu and
Shuhuang Xiang Fast multipole methods for approximating
a function from sampling values . . . . 727--743
A. Astorino and
M. Gaudioso and
E. Gorgone A method for convex minimization based
on translated first-order approximations 745--760
Hongli Yang and
Xianyang Zeng A feasible and effective technique in
constructing ERKN methods for
multi-frequency multidimensional
oscillators in scientific computation 761--782
Nguyen Buong Iterative algorithms for the
multiple-sets split feasibility problem
in Hilbert spaces . . . . . . . . . . . 783--798
Qiao-Li Dong and
Yan-Yan Lu and
Jinfeng Yang and
Songnian He Approximately solving multi-valued
variational inequalities by using a
projection and contraction algorithm . . 799--812
Yueting Yang and
Yuting Chen and
Yunlong Lu A subspace conjugate gradient algorithm
for large-scale unconstrained
optimization . . . . . . . . . . . . . . 813--828
Bruno Després Polynomials with bounds and numerical
approximation . . . . . . . . . . . . . 829--859
Mikel Antoñana and
Joseba Makazaga and
Ander Murua Reducing and monitoring round-off error
propagation for symplectic implicit
Runge--Kutta schemes . . . . . . . . . . 861--880
Peter Benner and
Mohammad-Sahadet Hossain Structure preserving iterative methods
for periodic projected Lyapunov
equations and their application in model
reduction of periodic descriptor systems 881--904
St. Maruster and
L. Maruster Local convergence of generalized Mann
iteration . . . . . . . . . . . . . . . 905--916
Milena Kresoja and
Zorana Luzanin and
Irena Stojkovska Adaptive stochastic approximation
algorithm . . . . . . . . . . . . . . . 917--937
X. Liang and
A. Q. M. Khaliq and
H. Bhatt and
K. M. Furati The locally extrapolated exponential
splitting scheme for multi-dimensional
nonlinear space-fractional Schrödinger
equations . . . . . . . . . . . . . . . 939--958
Achiya Dax A gradual rank increasing process for
matrix completion . . . . . . . . . . . 959--976
Ajeet Singh Verma and
Pankaj Mathur Polynomial wavelets on the unit circle 977--992
Jiansong Zhang and
Danping Yang and
Hui Guo and
Yan Qu Parallel algorithm combined with mixed
element procedure for compressible
miscible displacement problem . . . . . 993--1019
Min-Li Zeng and
Guo-Feng Zhang Complex-extrapolated MHSS iteration
method for singular complex symmetric
linear systems . . . . . . . . . . . . . 1021--1037
Chang-Lin Xu and
Guo-Yin Wang A novel cognitive transformation
algorithm based on Gaussian cloud model
and its application in image
segmentation . . . . . . . . . . . . . . 1039--1070
Masoud Ahookhosh and
Arnold Neumaier Optimal subgradient algorithms for
large-scale convex optimization in
simple domains . . . . . . . . . . . . . 1071--1097
Walter Gautschi Polynomials orthogonal with respect to
cardinal B-spline weight functions . . . 1099--1107
William La Cruz A spectral algorithm for large-scale
systems of nonlinear monotone equations 1109--1130
Iwona Skalna and
Milan Hladík A new algorithm for Chebyshev
minimum-error multiplication of reduced
affine forms . . . . . . . . . . . . . . 1131--1152
Ping-Fei Dai and
Qing-Biao Wu and
Min-Hong Chen Modified Newton--NSS method for solving
systems of nonlinear equations . . . . . 1--21
Dongsheng Guo and
Xinjie Lin and
Zhaozhu Su and
Sibo Sun and
Zhijing Huang Design and analysis of two discrete-time
ZD algorithms for time-varying nonlinear
minimization . . . . . . . . . . . . . . 23--36
Kai Liu and
Xinyuan Wu and
Wei Shi Extended phase properties and stability
analysis of RKN-type integrators for
solving general oscillatory second-order
initial value problems . . . . . . . . . 37--56
Boles\law Kacewicz Adaptive mesh point selection for the
efficient solution of scalar IVPs . . . 57--75
Calin-Ioan Gheorghiu On the numerical treatment of the
eigenparameter dependent boundary
conditions . . . . . . . . . . . . . . . 77--93
Ali Shokri A new eight-order symmetric two-step
multiderivative method for the numerical
solution of second-order IVPs with
oscillating solutions . . . . . . . . . 95--109
Hassan Khosravian-Arab and
Mehdi Dehghan and
M. R. Eslahchi A new approach to improve the order of
approximation of the Bernstein
operators: theory and applications . . . 111--150
Liyun Zuo and
Guangzhi Du A parallel two-grid linearized method
for the coupled Navier--Stokes--Darcy
problem . . . . . . . . . . . . . . . . 151--165
Jing Wang and
Xue-Ping Guo and
Hong-Xiu Zhong MN-DPMHSS iteration method for systems
of nonlinear equations with block
two-by-two complex Jacobian matrices . . 167--184
Christian Bargetz and
Simeon Reich and
Rafal Zalas Convergence properties of dynamic
string-averaging projection methods in
the presence of perturbations . . . . . 185--209
Hamid Reza Tabrizidooz and
Khadigeh Shabanpanah Bernstein polynomial basis for numerical
solution of boundary value problems . . 211--228
Lei Gao and
Yaqiang Wang and
Chaoqian Li New error bounds for the linear
complementarity problem of QN-matrices 229--242
Wenwu Gao and
Ran Zhang Multiquadric trigonometric spline
quasi-interpolation for numerical
differentiation of noisy data: a
stochastic perspective . . . . . . . . . 243--259
Jorge Duarte and
Cristina Januário and
Nuno Martins and
C. Correia Ramos and
Carla Rodrigues and
Josep Sardanyés Optimal homotopy analysis of a chaotic
HIV-1 model incorporating AIDS-related
cancer cells . . . . . . . . . . . . . . 261--288
K. R. Kazmi and
Rehan Ali and
Mohd Furkan Krasnoselski--Mann type iterative method
for hierarchical fixed point problem and
split mixed equilibrium problem . . . . 289--308
B. Despres and
M. Herda Correction to: Polynomials with bounds
and numerical approximation . . . . . . 309--311
Ali Aral and
Gulsum Ulusoy and
Emre Den\.\iz A new construction of Szász--Mirakyan
operators . . . . . . . . . . . . . . . 313--326
Adhemar Bultheel and
Juan Carlos Santos-León Properties of interpolatory quadrature
with equidistant nodes on the unit
circle . . . . . . . . . . . . . . . . . 327--359
Tom Duchamp and
Gang Xie and
Thomas Yu Smoothing nonlinear subdivision schemes
by averaging . . . . . . . . . . . . . . 361--379
K. Sadri and
A. Amini and
C. Cheng A new numerical method for delay and
advanced integro-differential equations 381--412
Neculai Andrei An adaptive scaled BFGS method for
unconstrained optimization . . . . . . . 413--432
Gasper Jaklic and
Jernej Kozak On parametric polynomial circle
approximation . . . . . . . . . . . . . 433--450
Ju-Li Zhang and
Hong-Tao Fan and
Chuan-Qing Gu An improved block splitting
preconditioner for complex symmetric
indefinite linear systems . . . . . . . 451--478
Raweerote Suparatulatorn and
Watcharaporn Cholamjiak and
Suthep Suantai A modified $S$-iteration process for
$G$-nonexpansive mappings in Banach
spaces with graphs . . . . . . . . . . . 479--490
Bernard Bialecki and
Andreas Karageorghis A Legendre spectral quadrature Galerkin
method for the Cauchy--Navier equations
of elasticity with variable coefficients 491--516
Mohamed El-Gamel Error analysis of sinc-Galerkin method
for time-dependent partial differential
equations . . . . . . . . . . . . . . . 517--533
Gang Cai and
Yekini Shehu and
Olaniyi Samuel Iyiola Strong convergence results for
variational inequalities and fixed point
problems using modified viscosity
implicit rules . . . . . . . . . . . . . 535--558
Tsung-Lin Lee and
Tien-Yien Li and
Zhonggang Zeng RankRev: a Matlab package for computing
the numerical rank and
updating/downdating . . . . . . . . . . 559--576
Hessah Alqahtani and
Lothar Reichel Simplified anti-Gauss quadrature rules
with applications in linear algebra . . 577--602
Guillermo Navas-Palencia Fast and accurate algorithm for the
generalized exponential integral $ E_\nu
(x) $ for positive real order . . . . . 603--630
Zhe Li and
Baocheng Wan and
Ruimei Gao Verified error bounds for eigenvalues of
geometric multiplicity $q$ and
corresponding invariant subspaces . . . 631--652
Kaizhan Huai and
Mingfang Ni and
Zhanke Yu and
Xiang Zheng and
Feng Ma A generalized inexact Uzawa method for
stable principal component pursuit
problem with nonnegative constraints . . 653--674
Leilei Wei Analysis of a new finite
difference/local discontinuous Galerkin
method for the fractional Cattaneo
equation . . . . . . . . . . . . . . . . 675--690
Alexander Belyaev and
Pierre-Alain Fayolle On modified Gordon--Wixom interpolation
schemes and their applications to
nonlinear and exterior domain problems 691--708
H.-S. Chen and
S.-L. Chang and
B.-W. Jeng and
C.-S. Chien Continuation and stability analysis for
Bloch waves of the Gross--Pitaevskii
equation . . . . . . . . . . . . . . . . 709--726
Kritsada Lerkchaiyaphum and
Withun Phuengrattana Iterative approaches to solving convex
minimization problems and fixed point
problems in complete CAT(0) spaces . . . 727--740
Do Sang Kim and
Bui Van Dinh Parallel extragradient algorithms for
multiple set split equilibrium problems
in Hilbert spaces . . . . . . . . . . . 741--761
Zohreh Asgari and
S. M. Hosseini Efficient numerical schemes for the
solution of generalized time fractional
Burgers type equations . . . . . . . . . 763--792
Fuat Usta and
Jeremy Levesley Multilevel quasi-interpolation on a
sparse grid with the Gaussian . . . . . 793--808
M. Ghasemi A new efficient DQ algorithm for the
solution of elliptic problems in higher
dimensions . . . . . . . . . . . . . . . 809--829
James Hook and
Nicholas Dingle Performance analysis of asynchronous
parallel Jacobi . . . . . . . . . . . . 831--866
Hassan Majidian Automatic computing of oscillatory
integrals . . . . . . . . . . . . . . . 867--884
A. S. Hendy and
R. H. De Staelen and
V. G. Pimenov A semi-linear delayed diffusion-wave
system with distributed order in time 885--903
Rong Huang On the sensitivity of generators for the
$ Q R $ factorization of quasiseparable
matrices with total nonpositivity . . . 905--924
Fenghui Wang Polyak's gradient method for split
feasibility problem constrained by level
sets . . . . . . . . . . . . . . . . . . 925--938
Y. Chen and
Chang-Ming Chen Numerical algorithm for solving the
Stokes' first problem for a heated
generalized second grade fluid with
fractional derivative . . . . . . . . . 939--953
Mariarosaria Rizzardi Detection of the singularities of a
complex function by numerical
approximations of its Laurent
coefficients . . . . . . . . . . . . . . 955--982
Dang Van Hieu Convergence analysis of a new algorithm
for strongly pseudomontone equilibrium
problems . . . . . . . . . . . . . . . . 983--1001
Dusan Lj. Djuki\'c and
Aleksandar V. Pejcev and
Miodrag M. Spalevi\'c The error bounds of Gauss--Kronrod
quadrature formulae for weight functions
of Bernstein--Szeg\Ho type . . . . . . . 1003--1028
Frida Svelander and
Gustav Kettil and
Tomas Johnson and
Andreas Mark and
Anders Logg and
Fredrik Edelvik Robust intersection of structured
hexahedral meshes and degenerate
triangle meshes with volume fraction
applications . . . . . . . . . . . . . . 1029--1068
A. Messaoudi and
R. Sadaka and
H. Sadok New algorithm for computing the Hermite
interpolation polynomial . . . . . . . . 1069--1092
Lajos Lóczi Exact optimal values of step-size
coefficients for boundedness of linear
multistep methods . . . . . . . . . . . 1093--1116
Relja Vulanovi\'c and
Thái Anh Nhan A numerical method for stationary shock
problems with monotonic solutions . . . 1117--1139
Dan Gordon A derandomization approach to recovering
bandlimited signals across a wide range
of random sampling rates . . . . . . . . 1141--1157
Dan Li and
Detong Zhu An affine scaling interior trust-region
method combining with line search filter
technique for optimization subject to
bounds on variables . . . . . . . . . . 1159--1182
Wei-wei Yang and
Qin Ni A cubically convergent method for
solving the largest eigenvalue of a
nonnegative irreducible tensor . . . . . 1183--1197
Mathew Baxter and
Mangalagama Dewasurendra and
Kuppalapalle Vajravelu A method of directly defining the
inverse mapping for solutions of coupled
systems of nonlinear differential
equations . . . . . . . . . . . . . . . 1199--1211
Marie-Laurence Mazure Piecewise Chebyshevian splines:
interpolation versus design . . . . . . 1213--1247
Ramandeep Behl and
Alicia Cordero and
Sandile S. Motsa and
Juan R. Torregrosa An eighth-order family of optimal
multiple root finders and its dynamics 1249--1272
Neculai Andrei A Dai--Liao conjugate gradient algorithm
with clustering of eigenvalues . . . . . 1273--1282
P. Rahimkhani and
Y. Ordokhani and
E. Babolian Müntz--Legendre wavelet operational
matrix of fractional-order integration
and its applications for solving the
fractional pantograph differential
equations . . . . . . . . . . . . . . . 1283--1305
Benjamin W. Ong and
Bankim C. Mandal Pipeline implementations of
Neumann--Neumann and Dirichlet--Neumann
waveform relaxation methods . . . . . . 1--20
Zexian Liu and
Hongwei Liu An efficient gradient method with
approximate optimal stepsize for
large-scale unconstrained optimization 21--39
Abdelkrim El Mouatasim Implementation of reduced gradient with
bisection algorithms for non-convex
optimization problem via stochastic
perturbation . . . . . . . . . . . . . . 41--62
Mikel Antoñana and
Joseba Makazaga and
Ander Murua Efficient implementation of symplectic
implicit Runge--Kutta schemes with
simplified Newton iterations . . . . . . 63--86
Xiang-Ke Chang and
Yi He and
Xing-Biao Hu and
Shi-Hao Li A new integrable convergence
acceleration algorithm for computing
Brezinski--Durbin--Redivo--Zaglia's
sequence transformation via pfaffians 87--106
Tongke Wang and
Yuesheng Gu and
Zhiyue Zhang An algorithm for the inversion of
Laplace transforms using Puiseux
expansions . . . . . . . . . . . . . . . 107--132
Gerlind Plonka and
Katrin Wannenwetsch and
Annie Cuyt and
Wen-shin Lee Deterministic sparse FFT for $M$-sparse
vectors . . . . . . . . . . . . . . . . 133--159
Jingshi Li and
Xiaoshen Wang and
Kai Zhang An efficient alternating direction
method of multipliers for optimal
control problems constrained by random
Helmholtz equations . . . . . . . . . . 161--191
M. Abbas and
M. AlShahrani and
Q. H. Ansari and
O. S. Iyiola and
Y. Shehu Iterative methods for solving proximal
split minimization problems . . . . . . 193--215
D. Barrera and
C. Dagnino and
M. J. Ibáñez and
S. Remogna Trivariate near-best blending spline
quasi-interpolation operators . . . . . 217--241
J. M. Franco and
L. Rández An eighth-order exponentially fitted
two-step hybrid method of explicit type
for solving orbital and oscillatory
problems . . . . . . . . . . . . . . . . 243--262
Ya-zheng Dang and
Jian Yao and
Yan Gao Relaxed two points projection method for
solving the multiple-sets split equality
problem . . . . . . . . . . . . . . . . 263--275
Qing Zhang and
Haiyan Su and
Xinlong Feng A partitioned finite element scheme
based on Gauge--Uzawa method for
time-dependent MHD equations . . . . . . 277--295
Zheng-Ge Huang and
Li-Gong Wang and
Zhong Xu and
Jing-Jing Cui A modified generalized shift-splitting
preconditioner for nonsymmetric saddle
point problems . . . . . . . . . . . . . 297--331
Massimiliano Ferronato and
Giorgio Pini A supernodal block factorized sparse
approximate inverse for non-symmetric
linear systems . . . . . . . . . . . . . 333--354
Diana Estévez Schwarz and
René Lamour A new approach for computing consistent
initial values and Taylor coefficients
for DAEs using projector-based
constrained optimization . . . . . . . . 355--377
Zhao-Zheng Liang and
Guo-Feng Zhang Semi-convergence analysis of
preconditioned deteriorated PSS
iteration method for singular saddle
point problems . . . . . . . . . . . . . 379--404
P. Bakhtiari and
S. Abbasbandy and
R. A. Van Gorder Solving the Dym initial value problem in
reproducing kernel space . . . . . . . . 405--421
Evgenija D. Popova Enclosing the solution set of parametric
interval matrix equation $ A(p) X = B(p)
$ . . . . . . . . . . . . . . . . . . . 423--447
Laurent Gajny and
Olivier Gibaru and
Eric Nyiri $ L_1 $ spline fits via sliding window
process: continuous and discrete cases 449--464
Xiaowei Liu and
Jin Zhang Pointwise estimates of SDFEM on Shishkin
triangular meshes for problems with
characteristic layers . . . . . . . . . 465--483
Pin Lyu and
Seakweng Vong A linearized second-order scheme for
nonlinear time fractional Klein--Gordon
type equations . . . . . . . . . . . . . 485--511
Si Wang and
Ting-Zhu Huang and
Xi-Le Zhao and
Jin-Jin Mei and
Jie Huang Speckle noise removal in ultrasound
images by first- and second-order total
variation . . . . . . . . . . . . . . . 513--533
M. Sayadi Shahraki and
H. Mansouri and
M. Zangiabadi and
N. Mahdavi-Amiri A wide neighborhood primal-dual
predictor-corrector interior-point
method for symmetric cone optimization 535--552
Hao Li and
Yidu Yang $ C^0 $ IPG adaptive algorithms for the
biharmonic eigenvalue problem . . . . . 553--567
Yun-Bo Yang and
Yao-Lin Jiang An explicitly uncoupled VMS
stabilization finite element method for
the time-dependent Darcy--Brinkman
equations in double-diffusive convection 569--597
Qian Guo and
Xuerong Mao and
Rongxian Yue The truncated Euler--Maruyama method for
stochastic differential delay equations 599--624
A. Galántai Always convergent methods for nonlinear
equations of several variables . . . . . 625--641
X. Y. Xiao and
X. Wang A new single-step iteration method for
solving complex symmetric linear systems 643--660
Giampietro Allasia Remarkable Haar spaces of multivariate
piecewise polynomials . . . . . . . . . 661--672
Jiyong Li and
Shuo Deng and
Xianfen Wang Extended explicit pseudo two-step RKN
methods for oscillatory systems $ y'' +
M y = f(y) $ . . . . . . . . . . . . . . 673--700
Erna Begovi\'c Kovac and
Vjeran Hari Jacobi method for symmetric $ 4 \times 4
$ matrices converges for every cyclic
pivot strategy . . . . . . . . . . . . . 701--720
Wenling Zhao and
Changyu Wang and
Yajing Gu On the convergence of $s$-dependent GFR
conjugate gradient method for
unconstrained optimization . . . . . . . 721--738
Abdellatif Moudafi and
Aviv Gibali $ l_1 $--$ l_2 $ regularization of split
feasibility problems . . . . . . . . . . 739--757
Roger Behling and
José Yunier Bello Cruz and
Luiz-Rafael Santos Circumcentering the Douglas--Rachford
method . . . . . . . . . . . . . . . . . 759--776
A. Ben Abda and
F. Khayat Missing boundary data recovery using
Nash games: the Stokes system . . . . . 777--803
Anat Amir and
David Levin Quasi-interpolation and outliers removal 805--825
Nuttapol Pakkaranang and
Poom Kumam and
Yeol Je Cho Proximal point algorithms for solving
convex minimization problem and common
fixed points problem of asymptotically
quasi-nonexpansive mappings in CAT(0)
spaces with convergence analysis . . . . 827--845
Miodrag S. Petkovi\'c and
Ljiljana D. Petkovi\'c Dynamic study of Schröder's families of
first and second kind . . . . . . . . . 847--865
Fayyaz Ahmad and
Eman Salem Al-Aidarous and
Dina Abdullah Alrehaili and
Sven-Erik Ekström and
Isabella Furci and
Stefano Serra-Capizzano Are the eigenvalues of preconditioned
banded symmetric Toeplitz matrices known
in almost closed form? . . . . . . . . . 867--893
Jian-Jun Zhang and
Jian-Li Zhang and
Wan-Zhou Ye An inexact alternating direction method
of multipliers for the solution of
linear complementarity problems arising
from free boundary problems . . . . . . 895--910
Saman Babaie-Kafaki and
Saeed Rezaee Two accelerated nonmonotone adaptive
trust region line search methods . . . . 911--928
Rainer Hartmann and
Christoph Pflaum A prewavelet-based algorithm for the
solution of second-order elliptic
differential equations with variable
coefficients on sparse grids . . . . . . 929--956
S. González-Pinto and
E. Hairer and
D. Hernández-Abreu and
S. Pérez-Rodríguez PDE-W-methods for parabolic problems
with mixed derivatives . . . . . . . . . 957--981
David A. Brown and
Siva Nadarajah Inexactly constrained discrete adjoint
approach for steepest descent-based
optimization algorithms . . . . . . . . 983--1000
Florian Bünger Shrink wrapping for Taylor models
revisited . . . . . . . . . . . . . . . 1001--1017
Pongsakorn Sunthrayuth and
Prasit Cholamjiak Iterative methods for solving
quasi-variational inclusion and fixed
point problem in $q$-uniformly smooth
Banach spaces . . . . . . . . . . . . . 1019--1044
Duong Viet Thong and
Dang Van Hieu Weak and strong convergence theorems for
variational inequality problems . . . . 1045--1060
Ambit Kumar Pany Fully discrete second-order backward
difference method for Kelvin--Voigt
fluid flow model . . . . . . . . . . . . 1061--1086
Tatjana V. Tomovi\'c and
Marija P. Stani\'c Construction of the optimal set of two
or three quadrature rules in the sense
of Borges . . . . . . . . . . . . . . . 1087--1109
R. Díaz Millán Two algorithms for solving systems of
inclusion problems . . . . . . . . . . . 1111--1127
Tony Stillfjord Adaptive high-order splitting schemes
for large-scale differential Riccati
equations . . . . . . . . . . . . . . . 1129--1151
Zeynab Jouymandi and
Fridoun Moradlou Retraction algorithms for solving
variational inequalities, pseudomonotone
equilibrium problems, and fixed-point
problems in Banach spaces . . . . . . . 1153--1182
Lubomir Kolev and
Iwona Skalna Exact solution to a parametric linear
programming problem . . . . . . . . . . 1183--1194
Yanzhi Liu and
Jason Roberts and
Yubin Yan Detailed error analysis for a fractional
Adams method with graded meshes . . . . 1195--1216
Jifeng Cui and
Wenyu Zhang and
Zeng Liu and
Jianglong Sun On the limit cycles, period-doubling,
and quasi-periodic solutions of the
forced Van der Pol--Duffing oscillator 1217--1231
Chao Gu and
Detong Zhu and
Yonggang Pei A new inexact SQP algorithm for
nonlinear systems of mixed equalities
and inequalities . . . . . . . . . . . . 1233--1253
Shengwei Yao and
Donglei He and
Lihua Shi An improved Perry conjugate gradient
method with adaptive parameter choice 1255--1269
Baohua Huang and
Changfeng Ma An iterative algorithm for the least
Frobenius norm Hermitian and generalized
skew Hamiltonian solutions of the
generalized coupled Sylvester-conjugate
matrix equations . . . . . . . . . . . . 1271--1301
David A. Brown and
David W. Zingg Matrix-free monolithic homotopy
continuation with application to
computational aerodynamics . . . . . . . 1303--1320
Constantin Popa Convergence rates for Kaczmarz-type
algorithms . . . . . . . . . . . . . . . 1--17
F. A. Abdullah and
F. Liu and
P. Burrage and
K. Burrage and
T. Li Novel analytical and numerical
techniques for fractional temporal SEIR
measles model . . . . . . . . . . . . . 19--40
Na Huang and
Chang-Feng Ma On the eigenvalues of the saddle point
matrices discretized from Navier--Stokes
equations . . . . . . . . . . . . . . . 41--64
Sandra Buhmiler and
Sanja Rapaji\'c and
Slavica Medi\'c and
Tatjana Grbi\'c Finite-difference method for singular
nonlinear systems . . . . . . . . . . . 65--86
Andrzej Marciniak and
Malgorzata A. Jankowska Interval versions of Milne's multistep
methods . . . . . . . . . . . . . . . . 87--105
Per Christian Hansen and
Jakob Sauer Jòrgensen AIR Tools II: algebraic iterative
reconstruction methods, improved
implementation . . . . . . . . . . . . . 107--137
Pham Ngoc Anh and
Tran T. H. Anh and
Nguyen D. Hien Modified basic projection methods for a
class of equilibrium problems . . . . . 139--152
Bao-Hua Huang and
Chang-Feng Ma Some iterative methods for the largest
positive definite solution to a class of
nonlinear matrix equation . . . . . . . 153--178
Moosa Ebadi New class of hybrid BDF methods for the
computation of numerical solutions of
IVPs . . . . . . . . . . . . . . . . . . 179--193
Ming Li and
Hongwei Liu and
Zexian Liu A new subspace minimization conjugate
gradient method with nonmonotone line
search for unconstrained optimization 195--219
Vjeran Hari Globally convergent Jacobi methods for
positive definite matrix pairs . . . . . 221--249
Abdulrahman Karouma and
Truong Nguyen-Ba and
Thierry Giordano and
Rémi Vaillancourt A new class of efficient one-step
contractivity preserving high-order time
discretization methods of order 5 to 14 251--280
Thái Anh Nhan and
Scott MacLachlan and
Niall Madden Boundary layer preconditioners for
finite-element discretizations of
singularly perturbed reaction--diffusion
problems . . . . . . . . . . . . . . . . 281--310
E. Jarlebring and
A. Koskela and
G. Mele Disguised and new quasi-Newton methods
for nonlinear eigenvalue problems . . . 311--335
Hui Zhang and
Xiaoyun Jiang and
Chu Wang and
Wenping Fan Galerkin--Legendre spectral schemes for
nonlinear space fractional Schrödinger
equation . . . . . . . . . . . . . . . . 337--356
Minoo Kamrani and
Nahid Jamshidi Implicit Milstein method for stochastic
differential equations via the
Wong--Zakai approximation . . . . . . . 357--374
Weiping Shen and
Yaohua Hu and
Chong Li and
Jen-Chih Yao Convergence of a Ulm-like method for
square inverse singular value problems
with multiple and zero singular values 375--398
Andreas Karageorghis and
Malgorzata A. Jankowska and
C. S. Chen Kansa--RBF algorithms for elliptic
problems in regular polygonal domains 399--421
Ulises Fidalgo and
Erwin Miña-Díaz Convergent interpolatory quadrature
rules and orthogonal polynomials of
varying measures . . . . . . . . . . . . 423--435
Zhaojie Zhou and
Chenyang Zhang Time-stepping discontinuous Galerkin
approximation of optimal control problem
governed by time fractional diffusion
equation . . . . . . . . . . . . . . . . 437--455
João R. Cardoso and
Amir Sadeghi Conditioning of the matrix--matrix
exponentiation . . . . . . . . . . . . . 457--477
A. S. V. Ravi Kanth and
Deepika Sirswal Analysis and numerical simulation for a
class of time fractional diffusion
equation via tension spline . . . . . . 479--497
K. R. Kazmi and
Rehan Ali and
Mohd Furkan Hybrid iterative method for split
monotone variational inclusion problem
and hierarchical fixed point problem for
a finite family of nonexpansive mappings 499--527
Yekini Shehu and
Olaniyi S. Iyiola Iterative algorithms for solving fixed
point problems and variational
inequalities with uniformly continuous
monotone operators . . . . . . . . . . . 529--553
Conor McCoid and
Manfred R. Trummer Preconditioning of spectral methods via
Birkhoff interpolation . . . . . . . . . 555--573
Zhao-Zheng Liang and
Owe Axelsson and
Maya Neytcheva A robust structured preconditioner for
time-harmonic parabolic optimal control
problems . . . . . . . . . . . . . . . . 575--596
Duong Viet Thong and
Dang Van Hieu Modified subgradient extragradient
method for variational inequality
problems . . . . . . . . . . . . . . . . 597--610
M. C. De Bonis and
C. Laurita On the stability of a modified Nyström
method for Mellin convolution equations
in weighted spaces . . . . . . . . . . . 611--631
Miroslav S. Petrov and
Todor D. Todorov Stable subdivision of $4$D polytopes . . 633--656
Wen Li and
Yanmei Chen and
Seakweng Vong and
Qilun Luo Some refined bounds for the perturbation
of the orthogonal projection and the
generalized inverse . . . . . . . . . . 657--677
Mojtaba Hajipour and
Amin Jajarmi and
Dumitru Baleanu On the accurate discretization of a
highly nonlinear boundary value problem 679--695
Mahboub Baccouch A superconvergent local discontinuous
Galerkin method for nonlinear two-point
boundary-value problems . . . . . . . . 697--718
Xiulin Hu and
Yuhao Cong and
Guang-Da Hu Delay-dependent stability of linear
multistep methods for DAEs with multiple
delays . . . . . . . . . . . . . . . . . 719--739
M. Hached and
K. Jbilou Numerical solutions to large-scale
differential Lyapunov matrix equations 741--757
Walter Gautschi On the zeros of subrange Jacobi
polynomials . . . . . . . . . . . . . . 759--768
Milena Petrovi\'c and
Vladimir Rakocevi\'c and
Natasa Kontrec and
Stefan Pani\'c and
Dejan Ili\'c Hybridization of accelerated gradient
descent method . . . . . . . . . . . . . 769--786
Th. Monovasilis and
Z. Kalogiratou and
T. E. Simos Trigonometrical fitting conditions for
two derivative Runge--Kutta methods . . 787--800
Kanokwan Sitthithakerngkiet and
Jitsupa Deepho and
Juan Martínez-Moreno and
Poom Kumam Convergence analysis of a general
iterative algorithm for finding a common
solution of split variational inclusion
and optimization problems . . . . . . . 801--824
Marie Kubínová and
James G. Nagy Robust regression for mixed
Poisson--Gaussian model . . . . . . . . 825--851
X. G. Zhu and
Z. B. Yuan and
F. Liu and
Y. F. Nie Differential quadrature method for
space-fractional diffusion equations on
$2$D irregular domains . . . . . . . . . 853--877
Pedro R. S. Antunes A numerical algorithm to reduce
ill-conditioning in meshless methods for
the Helmholtz equation . . . . . . . . . 879--897
Dongdong He and
Kejia Pan An unconditionally stable linearized
difference scheme for the fractional
Ginzburg--Landau equation . . . . . . . 899--925
Qiao-Li Dong and
Dan Jiang and
Aviv Gibali A modified subgradient extragradient
method for solving the variational
inequality problem . . . . . . . . . . . 927--940
Lixin Zhang and
Changjie Fang and
Shenglan Chen An inertial subgradient-type method for
solving single-valued variational
inequalities and fixed point problems 941--956
Y. Yang Two computationally efficient
polynomial-iteration infeasible
interior-point algorithms for linear
programming . . . . . . . . . . . . . . 957--992
Qiang Yu and
Hang Xu and
Shijun Liao Coiflets solutions for Föppl--von Kármán
equations governing large deflection of
a thin flat plate by a novel
wavelet-homotopy approach . . . . . . . 993--1020
N. Aslimani and
R. Ellaia A new chaos optimization algorithm based
on symmetrization and levelling
approaches for global optimization . . . 1021--1047
Ya-Min Li and
Xue-Ping Guo On the accelerated modified Newton--HSS
method for systems of nonlinear
equations . . . . . . . . . . . . . . . 1049--1073
Kathy Driver and
Kerstin Jordaan Zeros of Jacobi polynomials $
P_n^{(\alpha, \beta)} $, $ - 2 < \alpha
$, $ \beta < - 1 $ . . . . . . . . . . . 1075--1085
Yao-Lin Jiang and
Zhen Miao Waveform relaxation of partial
differential equations . . . . . . . . . 1087--1106
Xiaoli Li and
Hongxing Rui Two temporal second-order $ H^1
$-Galerkin mixed finite element schemes
for distributed-order fractional
sub-diffusion equations . . . . . . . . 1107--1130
Xianping Wu and
Xiaofei Peng and
Wen Li A preconditioned general modulus-based
matrix splitting iteration method for
linear complementarity problems of
$H$-matrices . . . . . . . . . . . . . . 1131--1146
Jennifer Scott and
Miroslav Tuma A Schur complement approach to
preconditioning sparse linear
least-squares problems with some dense
rows . . . . . . . . . . . . . . . . . . 1147--1168
Ioannis E. Livieris and
Vassilis Tampakas and
Panagiotis Pintelas A descent hybrid conjugate gradient
method based on the memoryless BFGS
update . . . . . . . . . . . . . . . . . 1169--1185
C. A. Arias and
J. M. Martínez Fast convergence of an inexact interior
point method for horizontal
complementarity problems . . . . . . . . 1187--1210
Sean Hon and
Andrew Wathen Circulant preconditioners for analytic
functions of Toeplitz matrices . . . . . 1211--1230
Haitao Che and
Haibin Chen and
Meixia Li A new simultaneous iterative method with
a parameter for solving the extended
split equality problem and the extended
split equality fixed point problem . . . 1231--1256
M. El Moudden and
A. El Ghali Multiple reduced gradient method for
multiobjective optimization problems . . 1257--1282
Yi-Fen Ke and
Chang-Feng Ma and
Huai Zhang The modulus-based matrix splitting
iteration methods for second-order cone
linear complementarity problems . . . . 1283--1303
Linsen Song and
Yan Gao A smoothing Levenberg--Marquardt method
for nonlinear complementarity problems 1305--1321
G. Meurant Preface . . . . . . . . . . . . . . . . 1--3
C. Brezinski Reminiscences of Peter Wynn . . . . . . 5--10
Claude Brezinski and
Michela Redivo-Zaglia The genesis and early developments of
Aitken's process, Shanks'
transformation, the $ \epsilon
$-algorithm, and related fixed point
methods . . . . . . . . . . . . . . . . 11--133
Donald G. M. Anderson Comments on ``Anderson Acceleration,
Mixing and Extrapolation'' . . . . . . . 135--234
Hervé Le Ferrand The rational iteration method by Georges
Lema\^\itre . . . . . . . . . . . . . . 235--251
Abderrahim Messaoudi and
Mohammed Errachid and
Khalide Jbilou and
Hassane Sadok GRPIA: a new algorithm for computing
interpolation polynomials . . . . . . . 253--278
Walter Gander and
Qiquan Shi Matrix completion with $e$-algorithm . . 279--301
G. Meurant Postface . . . . . . . . . . . . . . . . 303--303
Ke Chen and
Geovani Nunes Grapiglia and
Jinyun Yuan and
Daoping Zhang Improved optimization methods for image
registration problems . . . . . . . . . 305--336
Cheng-Liang Li and
Chang-Feng Ma Efficient parameterized rotated
shift-splitting preconditioner for a
class of complex symmetric linear
systems . . . . . . . . . . . . . . . . 337--354
Min-Hong Chen and
Qing-Biao Wu Modified Newton--MDPMHSS method for
solving nonlinear systems with block
two-by-two complex symmetric Jacobian
matrices . . . . . . . . . . . . . . . . 355--375
Herman D. Schaumburg and
Afnan Al Marzouk and
Bela Erdelyi Picard iteration-based variable-order
integrator with dense output employing
algorithmic differentiation . . . . . . 377--396
Jian Lv and
Li-Ping Pang and
Na Xu and
Ze-Hao Xiao An infeasible bundle method for
nonconvex constrained optimization with
application to semi-infinite programming
problems . . . . . . . . . . . . . . . . 397--427
Guangzhi Du and
Liyun Zuo A two-grid parallel partition of unity
finite element scheme . . . . . . . . . 429--445
Mireille Haddad and
Frédéric Hecht and
Toni Sayah and
Pierre Henri Tournier Parallel computing investigations for
the projection method applied to the
interface transport scheme of a
two-phase flow by the method of
characteristics . . . . . . . . . . . . 447--467
Zhencheng Fan Convergence of discrete time waveform
relaxation methods . . . . . . . . . . . 469--483
Zheng-Ge Huang and
Li-Gong Wang and
Zhong Xu and
Jing-Jing Cui Modified PHSS iterative methods for
solving nonsingular and singular saddle
point problems . . . . . . . . . . . . . 485--519
M. García-Esnaola and
J. M. Peña On the asymptotic optimality of error
bounds for some linear complementarity
problems . . . . . . . . . . . . . . . . 521--532
Yang Liu and
Yanwei Du and
Hong Li and
Fawang Liu and
Yajun Wang Some second-order $ \theta $ schemes
combined with finite element method for
nonlinear fractional cable equation . . 533--555
Ali Shokri and
Mohammad Mehdizadeh Khalsaraei and
Mortaza Tahmourasi and
Raquel Garcia-Rubio A new family of three-stage two-step
P-stable multiderivative methods with
vanished phase-lag and some of its
derivatives for the numerical solution
of radial Schrödinger equation and IVPs
with oscillating solutions . . . . . . . 557--593
Chun-Hua Guo and
Wen-Wei Lin and
Ching-Sung Liu A modified Newton iteration for finding
nonnegative $Z$-eigenpairs of a
nonnegative tensor . . . . . . . . . . . 595--616
Songnian He and
Hanlin Tian Selective projection methods for solving
a class of variational inequalities . . 617--634
Rafael Rodríguez-Sánchez and
Sandra Catalán and
José R. Herrero and
Enrique S. Quintana-Ortí and
Andrés E. Tomás Look-ahead in the two-sided reduction to
compact band forms for symmetric
eigenvalue problems and the SVD . . . . 635--660
Aicke Hinrichs and
Peter Kritzer and
Friedrich Pillichshammer and
G. W. Wasilkowski Truncation dimension for linear problems
on multivariate function spaces . . . . 661--685
Michael K. Ng and
Zhaochen Zhu Sparse matrix computation for air
quality forecast data assimilation . . . 687--707
Xiaohong Chen and
Xiufang Feng and
Zhilin Li A direct method for accurate solution
and gradient computations for elliptic
interface problems . . . . . . . . . . . 709--740
Jun Yang and
Hongwei Liu Strong convergence result for solving
monotone variational inequalities in
Hilbert space . . . . . . . . . . . . . 741--752
Eugeniusz Zieniuk and
Krzysztof Szersze\'n A separation between the boundary shape
and the boundary functions in the
parametric integral equation system for
the $3$D Stokes equation . . . . . . . . 753--780
Caili Sang A new Brauer-type $Z$-eigenvalue
inclusion set for tensors . . . . . . . 781--794
M. H. Annaby and
M. M. Tharwat Sinc-regularized techniques to compute
eigenvalues of Schrödinger operators on $
L^2 (I) \oplus \mathbb {C}^2 $ . . . . . 795--817
Sven-Erik Ekström and
Carlo Garoni A matrix-less and parallel
interpolation-extrapolation algorithm
for computing the eigenvalues of
preconditioned banded symmetric Toeplitz
matrices . . . . . . . . . . . . . . . . 819--848
Haixiang Zhang and
Xuehua Yang and
Da Xu A high-order numerical method for
solving the $2$D fourth-order
reaction--diffusion equation . . . . . . 849--877
Anna Concas and
Caterina Fenu and
Giuseppe Rodriguez \pkgPQser: a Matlab package for spectral
seriation . . . . . . . . . . . . . . . 879--902
Sergio Amat and
Juan Ruiz and
Juan C. Trillo On an algorithm to adapt spline
approximations to the presence of
discontinuities . . . . . . . . . . . . 903--936
Xiao Shan Chen and
Seak-Weng Vong and
Wen Li and
Hongguo Xu Noda iterations for generalized
eigenproblems following
Perron--Frobenius theory . . . . . . . . 937--955
Jan Vlcek and
Ladislav Luksan Properties of the block BFGS update and
its application to the limited-memory
block BNS method for unconstrained
minimization . . . . . . . . . . . . . . 957--987
Minghua Chen and
Wenshan Yu Energy estimates for two-dimensional
space-Riesz fractional wave equation . . 989--1014
Xing Hui Gao and
Le Rong Ma and
Hai Yun Zhou Three kinds of hybrid algorithms and
their numerical realizations for a
finite family of quasi-asymptotically
pseudocontractive mappings . . . . . . . 1015--1035
V. Dhanush and
S. Natarajan Implementation of the virtual element
method for coupled thermo-elasticity in
Abaqus . . . . . . . . . . . . . . . . . 1037--1058
M. Malzoumati-Khiaban and
A. Foroush Bastani and
M. R. Yaghouti Long-term adaptive symplectic numerical
integration of linear stochastic
oscillators driven by additive white
noise . . . . . . . . . . . . . . . . . 1059--1095
C. Clavero and
J. L. Gracia Uniformly convergent additive schemes
for $2$ d singularly perturbed parabolic
systems of reaction--diffusion type . . 1097--1120
Yangyang Xu and
Ruijuan Zhao and
Bing Zheng Some criteria for identifying strong $
\mathcal {H} $-tensors . . . . . . . . . 1121--1141
Li-Dan Liao and
Guo-Feng Zhang A note on block diagonal and block
triangular preconditioners for complex
symmetric linear systems . . . . . . . . 1143--1154
G. Zamani Eskandani and
M. Raeisi On the zero point problem of monotone
operators in Hadamard spaces . . . . . . 1155--1179
Gaohang Yu and
Yisheng Song and
Yi Xu and
Zefeng Yu Spectral projected gradient methods for
generalized tensor eigenvalue
complementarity problems . . . . . . . . 1181--1201
Zhaoli Ma and
Lin Wang and
Shih-sen Chang On the split feasibility problem and
fixed point problem of quasi-$ \varphi
$-nonexpansive mapping in Banach spaces 1203--1218
Yair Censor and
Howard Heaton and
Reinhard Schulte Derivative-free superiorization with
component-wise perturbations . . . . . . 1219--1240
Luca Dieci and
Alessandra Papini and
Alessandro Pugliese Coalescing points for eigenvalues of
banded matrices depending on parameters
with application to banded random matrix
functions . . . . . . . . . . . . . . . 1241--1266
Philip A. Ernst and
Fazlollah Soleymani A Legendre-based computational method
for solving a class of Itô stochastic
delay differential equations . . . . . . 1267--1282
Duong Viet Thong and
Dang Van Hieu Inertial subgradient extragradient
algorithms with line-search process for
solving variational inequality problems
and fixed point problems . . . . . . . . 1283--1307
Leila Lebtahi and
Óscar Romero and
Néstor Thome Further results on generalized
centro-invertible matrices . . . . . . . 1309--1328
Yao Cheng Optimal error estimate of the local
discontinuous Galerkin methods based on
the generalized alternating numerical
fluxes for nonlinear
convection-diffusion equations . . . . . 1329--1359
Stefan Metzger On stable, dissipation reducing
splitting schemes for two-phase flow of
electrolyte solutions . . . . . . . . . 1361--1390
Ping Guo and
Chong-Jun Li Almost sure stability with general decay
rate of exact and numerical solutions
for stochastic pantograph differential
equations . . . . . . . . . . . . . . . 1391--1411
Dang Van Hieu New inertial algorithm for a class of
equilibrium problems . . . . . . . . . . 1413--1436
Maolin Liang and
Bing Zheng and
Ruijuan Zhao Alternating iterative methods for
solving tensor equations with
applications . . . . . . . . . . . . . . 1437--1465
Carolina Vittoria Beccari and
Giulio Casciola and
Marie-Laurence Mazure Design or not design? A numerical
characterisation for piecewise
Chebyshevian splines . . . . . . . . . . 1--31
Guangxin Huang and
Lothar Reichel and
Feng Yin On the choice of subspace for
large-scale Tikhonov regularization
problems in general form . . . . . . . . 33--55
S. S. Ezz-Eldien and
E. H. Doha Fast and precise spectral method for
solving pantograph type Volterra
integro-differential equations . . . . . 57--77
Fermin S. V. Bazán and
J. R. Quiroz Galerkin approach for estimating
boundary data in Poisson equation on
annular domain with application to heat
transfer coefficient estimation in
coiled tubes . . . . . . . . . . . . . . 79--98
Keerati Siriyan and
Atid Kangtunyakarn A new general system of variational
inequalities for convergence theorem and
application . . . . . . . . . . . . . . 99--123
Vijay Gupta and
Gancho Tachev and
Ana-Maria Acu Modified Kantorovich operators with
better approximation properties . . . . 125--149
Andreas Potschka Backward step control for Hilbert space
problems . . . . . . . . . . . . . . . . 151--180
Robert A. Van Gorder Optimal homotopy analysis and control of
error for implicitly defined fully
nonlinear differential equations . . . . 181--196
Auwal Bala Abubakar and
Poom Kumam A descent Dai--Liao conjugate gradient
method for nonlinear equations . . . . . 197--210
Gwanghyun Jo and
Do Y. Kwak Geometric multigrid algorithms for
elliptic interface problems using
structured grids . . . . . . . . . . . . 211--235
Samad Noeiaghdam and
Mohammad Ali Fariborzi Araghi and
Saeid Abbasbandy Finding optimal convergence control
parameter in the homotopy analysis
method to solve integral equations based
on the stochastic arithmetic . . . . . . 237--267
Phan Tu Vuong and
Yekini Shehu Convergence of an extragradient-type
method for variational inequality with
applications to optimal control problems 269--291
Rashad M. Asharabi The use of the sinc-Gaussian sampling
formula for approximating the
derivatives of analytic functions . . . 293--312
Kendall Atkinson and
David Chien and
Olaf Hansen A spectral method for an elliptic
equation with a nonlinear Neumann
boundary condition . . . . . . . . . . . 313--344
Luigi Brugnano and
Juan I. Montijano and
Luis Rández On the effectiveness of spectral methods
for the numerical solution of
multi-frequency highly oscillatory
Hamiltonian problems . . . . . . . . . . 345--376
Baohua Huang and
Changfeng Ma Finite iterative algorithm for the
symmetric periodic least squares
solutions of a class of periodic
Sylvester matrix equations . . . . . . . 377--406
Mingyuan Cao and
Qingdao Huang and
Yueting Yang A self-adaptive trust region method for
extreme $ \mathcal {B}$-eigenvalues of
symmetric tensors . . . . . . . . . . . 407--420
Na Huang and
Chang-Feng Ma Spectral analysis of the preconditioned
system for the $ 3 \times 3 $ block
saddle point problem . . . . . . . . . . 421--444
M. Zhao and
H. Wu and
C. Xiong Error analysis of HDG approximations for
elliptic variational inequality:
obstacle problem . . . . . . . . . . . . 445--463
Pratibhamoy Das An a posteriori based convergence
analysis for a nonlinear singularly
perturbed system of delay differential
equations on an adaptive mesh . . . . . 465--487
Yuan-Ming Wang A Crank--Nicolson-type compact
difference method and its extrapolation
for time fractional Cattaneo
convection-diffusion equations with
smooth solutions . . . . . . . . . . . . 489--527
Weiping Bu and
Aiguo Xiao An $h$--$p$ version of the continuous
Petrov--Galerkin finite element method
for Riemann--Liouville fractional
differential equation with novel test
basis functions . . . . . . . . . . . . 529--545
Mykhailo Kuian and
Lothar Reichel and
Sergij V. Shiyanovskii Fast factorization of rectangular
Vandermonde matrices with Chebyshev
nodes . . . . . . . . . . . . . . . . . 547--559
Yunong Zhang and
Zhiyuan Qi and
Jian Li and
Binbin Qiu and
Min Yang Stepsize domain confirmation and optimum
of ZeaD formula for future optimization 561--574
Neculai Andrei A diagonal quasi-Newton updating method
for unconstrained optimization . . . . . 575--590
Rafal Nowak Convergence acceleration of alternating
series . . . . . . . . . . . . . . . . . 591--608
Jian Li and
Mingzhi Mao and
Frank Uhlig and
Yunong Zhang A $5$-instant finite difference formula
to find discrete time-varying
generalized matrix inverses, matrix
inverses, and scalar reciprocals . . . . 609--629
Tao Sun and
Roberto Barrio and
Hao Jiang and
Lizhi Cheng Convergence rates of accelerated
proximal gradient algorithms under
independent noise . . . . . . . . . . . 631--654
Emmanuel Lorin Domain decomposition method for the
$N$-body time-independent and
time-dependent Schrödinger equations . . 655--694
Patrick L. Combettes and
Andrew M. McDonald and
Charles A. Micchelli and
Massimiliano Pontil Learning with optimal interpolation
norms . . . . . . . . . . . . . . . . . 695--717
Antonio Fazzi and
Nicola Guglielmi and
Ivan Markovsky An ODE-based method for computing the
approximate greatest common divisor of
polynomials . . . . . . . . . . . . . . 719--740
Dario A. Bini and
Stefano Massei and
Leonardo Robol Quasi-Toeplitz matrix arithmetic: a
MATLAB toolbox . . . . . . . . . . . . . 741--769
Walter Gautschi Correction to: Sub-range Jacobi
polynomials . . . . . . . . . . . . . . 771--771
Silvia Gazzola and
Per Christian Hansen and
James G. Nagy IR Tools: a MATLAB package of iterative
regularization methods and large-scale
test problems . . . . . . . . . . . . . 773--811
Truong Minh Tuyen and
Nguyen Song Ha and
Nguyen Thi Thu Thuy A shrinking projection method for
solving the split common null point
problem in Banach spaces . . . . . . . . 813--832
Hongwu Zhang and
Xiaoju Zhang Generalized Tikhonov-type regularization
method for the Cauchy problem of a
semi-linear elliptic equation . . . . . 833--851
Yan Tang and
Zhiqing Bao New semi-implicit midpoint rule for zero
of monotone mappings in Banach spaces 853--878
Hanzhang Hu and
Yiping Fu and
Jie Zhou Numerical solution of a miscible
displacement problem with dispersion
term using a two-grid mixed finite
element approach . . . . . . . . . . . . 879--914
Roberto Andreani and
Viviana A. Ramirez and
Sandra A. Santos and
Leonardo D. Secchin Bilevel optimization with a
multiobjective problem in the lower
level . . . . . . . . . . . . . . . . . 915--946
Fiza Zafar and
Alicia Cordero and
Juan R. Torregrosa Stability analysis of a family of
optimal fourth-order methods for
multiple roots . . . . . . . . . . . . . 947--981
Pham Ky Anh and
Nguyen The Vinh Self-adaptive gradient projection
algorithms for variational inequalities
involving non-Lipschitz continuous
operators . . . . . . . . . . . . . . . 983--1001
Da Xu Second-order difference approximations
for Volterra equations with the
completely monotonic kernels . . . . . . 1003--1041
Binbin Qiu and
Yunong Zhang and
Jinjin Guo and
Zhi Yang and
Xiaodong Li New five-step DTZD algorithm for future
nonlinear minimization with quartic
steady-state error pattern . . . . . . . 1043--1065
Tran Viet Anh Linesearch methods for bilevel split
pseudomonotone variational inequality
problems . . . . . . . . . . . . . . . . 1067--1087
Woula Themistoclakis and
Marc Van Barel Uniform approximation on the sphere by
least squares polynomials . . . . . . . 1089--1111
Yangyang Xu and
Ruijuan Zhao and
Bing Zheng Two non-parameter iterative algorithms
for identifying strong $ \mathcal {H}
$-tensors . . . . . . . . . . . . . . . 1113--1128
H. Piri and
B. Daraby and
S. Rahrovi and
M. Ghasemi Approximating fixed points of
generalized $ \alpha $-nonexpansive
mappings in Banach spaces by new faster
iteration process . . . . . . . . . . . 1129--1148
Stefan Maruster and
Laura Maruster On the problem of starting points for
iterative methods . . . . . . . . . . . 1149--1155
Jiansong Zhang A new combined characteristic mixed
finite element method for compressible
miscible displacement problem . . . . . 1157--1179
Luigi Brugnano and
Zdzis\law Jackiewicz and
Helmut Podhaisky and
Yajuan Sun and
Caren Tischendorf Preface . . . . . . . . . . . . . . . . 1181--1182
Luigi Brugnano and
Felice Iavernaro and
Juan I. Montijano and
Luis Rández Spectrally accurate space-time solution
of Hamiltonian PDEs . . . . . . . . . . 1183--1202
Bin Wang and
Xinyuan Wu Global error bounds of one-stage
extended RKN integrators for semilinear
wave equations . . . . . . . . . . . . . 1203--1218
Robert I. McLachlan and
Christian Offen Symplectic integration of boundary value
problems . . . . . . . . . . . . . . . . 1219--1233
Yonglei Fang and
Yanping Yang and
Xiong You and
Bin Wang A new family of $A$-stable Runge--Kutta
methods with equation-dependent
coefficients for stiff problems . . . . 1235--1251
Robert M. Corless and
C. Yalçin Kaya and
Robert H. C. Moir Optimal residuals and the Dahlquist test
problem . . . . . . . . . . . . . . . . 1253--1274
Wei Shi and
Xinyuan Wu Explicit Gautschi-type integrators for
nonlinear multi-frequency oscillatory
second-order initial value problems . . 1275--1294
Yanyan Shi and
Yajuan Sun and
Yang He and
Hong Qin and
Jian Liu Symplectic integrators with adaptive
time step applied to runaway electron
dynamics . . . . . . . . . . . . . . . . 1295--1309
J. C. Butcher Trees and $B$-series . . . . . . . . . . 1311--1325
Jonas Pade and
Caren Tischendorf Waveform relaxation: a convergence
criterion for differential--algebraic
equations . . . . . . . . . . . . . . . 1327--1342
G. Izzo and
Z. Jackiewicz Transformed implicit-explicit DIMSIMs
with strong stability preserving
explicit part . . . . . . . . . . . . . 1343--1359
Lu Li and
Elena Celledoni Krylov projection methods for linear
Hamiltonian systems . . . . . . . . . . 1361--1378
Jiyong Li and
Yachao Gao Energy-preserving trigonometrically
fitted continuous stage
Runge--Kutta--Nyström methods for
oscillatory Hamiltonian systems . . . . 1379--1401
Saghir Ahmad and
J. C. Butcher and
Winston L. Sweatman Variable order and stepsize in general
linear methods . . . . . . . . . . . . . 1403--1421
Benjamin Tapley and
Elena Celledoni and
Brynjulf Owren and
Helge I. Andersson A novel approach to rigid spheroid
models in viscous flows using operator
splitting methods . . . . . . . . . . . 1423--1441
Kevin R. Green and
Raymond J. Spiteri Gating-enhanced IMEX splitting methods
for cardiac monodomain simulation . . . 1443--1457
P. W. Sharp The performance of the $N$-body
integrator SSS . . . . . . . . . . . . . 1459--1472
Stefan Kopecz and
Andreas Meister On the existence of three-stage
third-order modified
Patankar--Runge--Kutta schemes . . . . . 1473--1484
Beibei Zhu and
Yifa Tang and
Ruili Zhang and
Yihao Zhang Symplectic simulation of dark solitons
motion for nonlinear Schrödinger equation 1485--1503
Mark Adams and
Connor Tannahill and
Paul Muir Error control Gaussian collocation
software for boundary value ODEs and
$1$D time-dependent PDEs . . . . . . . . 1505--1519
Ruili Zhang and
Jian Liu and
Hong Qin and
Yifa Tang Energy-preserving algorithm for
gyrocenter dynamics of charged particles 1521--1530
Shanshan Wang and
Luming Zhang Split-step cubic B-spline collocation
methods for nonlinear Schrödinger
equations in one, two, and three
dimensions with Neumann boundary
conditions . . . . . . . . . . . . . . . 1531--1546
Andreas Naumann and
Jörg Wensch Multirate finite step methods . . . . . 1547--1571
R. Dehghani and
N. Mahdavi-Amiri Scaled nonlinear conjugate gradient
methods for nonlinear least squares
problems . . . . . . . . . . . . . . . . 1--20
Ana Marco and
José-Javier Martínez and
Raquel Viaña Least squares problems involving
generalized Kronecker products and
application to bivariate polynomial
regression . . . . . . . . . . . . . . . 21--39
Edmundo J. Huertas and
Anier Soria-Lorente New analytic properties of nonstandard
Sobolev-type Charlier orthogonal
polynomials . . . . . . . . . . . . . . 41--68
Shuying Zhai and
Zhifeng Weng and
Xinlong Feng and
Jinyun Yuan Investigations on several high-order ADI
methods for time-space fractional
diffusion equation . . . . . . . . . . . 69--106
Ron Goldman and
Plamen Simeonov $q$-Blossoming for analytic functions 107--121
J. Moreno and
Miguel A. López and
R. Martínez A new algorithm for solving all the real
roots of a nonlinear system of equations
in a given feasible region . . . . . . . 123--154
Najmeh Azizi Zadeh and
Azita Tajaddini and
Gang Wu Weighted and deflated global GMRES
algorithms for solving large Sylvester
matrix equations . . . . . . . . . . . . 155--181
Tomohiro Suzuki and
Hiroshi Sugiura and
Takemitsu Hasegawa Estimating convergence regions of
Schröder's iteration formula: how the
Julia set shrinks to the Voronoi
boundary . . . . . . . . . . . . . . . . 183--199
Weidi Yin and
Songsong Cheng and
Yiheng Wei and
Jianmei Shuai and
Yong Wang A bias-compensated fractional order
normalized least mean square algorithm
with noisy inputs . . . . . . . . . . . 201--222
Hongen Jia and
Jichun Li and
Zhiwei Fang and
Ming Li A new FDTD scheme for Maxwell's
equations in Kerr-type nonlinear media 223--243
Jinkui Liu and
Yuming Feng A derivative-free iterative method for
nonlinear monotone equations with convex
constraints . . . . . . . . . . . . . . 245--262
M. Marques Alves and
Marina Geremia Iteration complexity of an inexact
Douglas--Rachford method and of a
Douglas--Rachford--Tseng's F-B
four-operator splitting method for
solving monotone inclusions . . . . . . 263--295
Anantachai Padcharoen and
Poom Kumam and
Yeol Je Cho Split common fixed point problems for
demicontractive operators . . . . . . . 297--320
Xiaoli Li and
Hongxing Rui and
Zhengguang Liu Two alternating direction implicit
spectral methods for two-dimensional
distributed-order differential equation 321--347
Mijanur Rahaman and
Mohd. Ishtyak and
Rais Ahmad and
Imran Ali The Yosida approximation iterative
technique for split monotone Yosida
variational inclusions . . . . . . . . . 349--369
Jianxi Zhao and
Qian Feng and
Lina Zhao Alternating direction and Taylor
expansion minimization algorithms for
unconstrained nuclear norm optimization 371--396
Francisco J. Aragón Artacho and
Rubén Campoy Optimal rates of linear convergence of
the averaged alternating modified
reflections method for two subspaces . . 397--421
Stanis\law Migórski and
Shengda Zeng Rothe method and numerical analysis for
history-dependent hemivariational
inequalities with applications to
contact mechanics . . . . . . . . . . . 423--450
Xiaoli Li and
Hongxing Rui and
Shuangshuang Chen A fully conservative block-centered
finite difference method for simulating
Darcy--Forchheimer compressible wormhole
propagation . . . . . . . . . . . . . . 451--478
Hongrui Geng and
Zhenhua Xu Coupling of boundary integral equation
and finite element methods for
transmission problems in acoustics . . . 479--501
Zhao-Zheng Liang and
Guo-Feng Zhang Robust additive block triangular
preconditioners for block two-by-two
linear systems . . . . . . . . . . . . . 503--537
Klaus Böhmer and
Robert Schaback A meshfree method for solving the
Monge--Amp\`ere equation . . . . . . . . 539--551
Guang-an Zou Numerical solutions to time-fractional
stochastic partial differential
equations . . . . . . . . . . . . . . . 553--571
Hua Zheng and
Seakweng Vong A modified modulus-based matrix
splitting iteration method for solving
implicit complementarity problems . . . 573--592
Xiao Tang and
Aiguo Xiao New explicit stabilized stochastic
Runge--Kutta methods with weak second
order for stiff Itô stochastic
differential equations . . . . . . . . . 593--604
Jixin Chen and
Ignace Loris On starting and stopping criteria for
nested primal-dual iterations . . . . . 605--621
Fan Yang and
Ya-Ru Sun and
Xiao-Xiao Li and
Can-Yun Huang The quasi-boundary value method for
identifying the initial value of heat
equation on a columnar symmetric domain 623--639
Feng Ma and
Yiming Bi and
Bin Gao A prediction-correction-based
primal-dual hybrid gradient method for
linearly constrained convex minimization 641--662
Sina Bittens and
Gerlind Plonka Sparse fast DCT for vectors with
one-block support . . . . . . . . . . . 663--697
Zhigang Jia and
Michael K. Ng and
Guang-Jing Song Lanczos method for large-scale
quaternion singular value decomposition 699--717
Xiaona Fan and
Qinglun Yan Solving system of inequalities via a
smoothing homotopy method . . . . . . . 719--728
Zhi-Wei Fang and
Michael K. Ng and
Hai-Wei Sun Circulant preconditioners for a kind of
spatial fractional diffusion equations 729--747
G. García Approximating roots of nonlinear systems
by $ \alpha $-dense curves . . . . . . . 749--760
Duong Viet Thong and
Dang Van Hieu Some extragradient-viscosity algorithms
for solving variational inequality
problems and fixed point problems . . . 761--789
Cun-Qiang Miao Filtered Krylov-like sequence method for
symmetric eigenvalue problems . . . . . 791--807
N. A. Tselepidis and
C. K. Filelis-Papadopoulos and
G. A. Gravvanis Distributed algebraic tearing and
interconnecting techniques . . . . . . . 809--842
X. Y. Xiao and
X. Wang and
H. W. Yin Preconditioned Richardson iteration for
augmented linear systems . . . . . . . . 843--867
Laëtitia Caillé and
Liviu Marin and
Franck Delvare A meshless fading regularization
algorithm for solving the Cauchy problem
for the three-dimensional Helmholtz
equation . . . . . . . . . . . . . . . . 869--894
J. M. Carnicer and
Y. Khiar and
J. M. Peña Optimal interval length for the
collocation of the Newton interpolation
basis . . . . . . . . . . . . . . . . . 895--908
C. Izuchukwu and
G. C. Ugwunnadi and
O. T. Mewomo and
A. R. Khan and
M. Abbas Proximal-type algorithms for split
minimization problem in $P$-uniformly
convex metric spaces . . . . . . . . . . 909--935
Gérard Meurant and
Petr Tichý Approximating the extreme Ritz values
and upper bounds for the $A$-norm of the
error in CG . . . . . . . . . . . . . . 937--968
Huan Ren and
Xiang Wang and
Xiao-Bin Tang and
Teng Wang A preconditioned general two-step
modulus-based matrix splitting iteration
method for linear complementarity
problems of $ H_+ $-matrices . . . . . . 969--986
C. E. Chidume and
O. M. Romanus and
U. V. Nnyaba An iterative algorithm for solving split
equality fixed point problems for a
class of nonexpansive-type mappings in
Banach spaces . . . . . . . . . . . . . 987--1007
F. Fillion-Gourdeau and
E. Lorin Simple digital quantum algorithm for
symmetric first-order linear hyperbolic
systems . . . . . . . . . . . . . . . . 1009--1045
Jing Zhao and
Dingfang Hou A self-adaptive iterative algorithm for
the split common fixed point problems 1047--1063
Thomas R. Cameron An effective implementation of a
modified Laguerre method for the roots
of a polynomial . . . . . . . . . . . . 1065--1084
L. Gr. Ixaru Exponential and trigonometrical
fittings: user-friendly expressions for
the coefficients . . . . . . . . . . . . 1085--1096
Ting-Ting Feng and
Xue-Ping Guo and
Guo-Liang Chen A modified ASOR-like method for
augmented linear systems . . . . . . . . 1097--1115
Constantin Popa Correction to: Convergence rates for
Kaczmarz-type algorithms . . . . . . . . 1117--1120
N. Alinia and
M. Zarebnia A numerical algorithm based on a new
kind of tension B-spline function for
solving Burgers--Huxley equation . . . . 1121--1142
Luca Fenzi and
Wim Michiels Polynomial (chaos) approximation of
maximum eigenvalue functions . . . . . . 1143--1169
Songnian He and
Tao Wu and
Yeol Je Cho and
Themistocles M. Rassias Optimal parameter selections for a
general Halpern iteration . . . . . . . 1171--1188
A. Ortiz-Bernardin and
C. Alvarez and
N. Hitschfeld-Kahler and
A. Russo and
R. Silva-Valenzuela and
E. Olate-Sanzana Veamy: an extensible object-oriented C++
library for the virtual element method 1189--1220
Hao Yu and
Boying Wu and
Dazhi Zhang The Laguerre--Hermite spectral methods
for the time-fractional sub-diffusion
equations on unbounded domains . . . . . 1221--1250
Zhong-Zhi Bai and
Cun-Qiang Miao Computing eigenpairs of Hermitian
matrices in perfect Krylov subspaces . . 1251--1277
Y. S. Li and
L. L. Sun and
Z. Q. Zhang and
T. Wei Identification of the time-dependent
source term in a multi-term
time-fractional diffusion equation . . . 1279--1301
J. A. Ezquerro and
M. A. Hernández-Verón Nonlinear Fredholm integral equations
and majorant functions . . . . . . . . . 1303--1323
Sakhi Zaman and
Siraj-ul-Islam On numerical evaluation of integrals
involving oscillatory Bessel and Hankel
functions . . . . . . . . . . . . . . . 1325--1343
Saman Babaie-Kafaki and
Zohre Aminifard Two-parameter scaled memoryless BFGS
methods with a nonmonotone choice for
the initial step length . . . . . . . . 1345--1357
Charles Curry and
Brynjulf Owren Variable step size commutator free Lie
group integrators . . . . . . . . . . . 1359--1376
Yang Cao and
An Wang Two-step modulus-based matrix splitting
iteration methods for implicit
complementarity problems . . . . . . . . 1377--1394
Marija Milosevi\'c Divergence of the backward Euler method
for ordinary stochastic differential
equations . . . . . . . . . . . . . . . 1395--1407
Xiaobo Yang and
Weizhang Huang and
Jianxian Qiu Moving mesh finite difference solution
of non-equilibrium radiation diffusion
equations . . . . . . . . . . . . . . . 1409--1440
Jure Ravnik and
Jan Tibuat Fast boundary-domain integral method for
unsteady convection-diffusion equation
with variable diffusivity using the
modified Helmholtz fundamental solution 1441--1466
T. Li and
Y. Wang and
F. Liu and
I. Turner Novel parameter estimation techniques
for a multi-term fractional dynamical
epidemic model of dengue fever . . . . . 1467--1495
Amirhossein Amiraslani and
Robert M. Corless and
Madhusoodan Gunasingam Differentiation matrices for univariate
polynomials . . . . . . . . . . . . . . 1--31
Martin Averseng Fast discrete convolution in $ \mathbb
{R}^2 $ with radial kernels using
non-uniform Fast Fourier Transform with
nonequispaced frequencies . . . . . . . 33--56
Jakub Hrncír and
Ivana Pultarová and
Zdenek Strakos Decomposition into subspaces
preconditioning: abstract framework . . 57--98
Meng Li and
Chengming Huang and
Wanyuan Ming A relaxation-type Galerkin FEM for
nonlinear fractional Schrödinger
equations . . . . . . . . . . . . . . . 99--124
Nisha Sharma and
Morrakot Khebchareon and
Amiya K. Pani A priori error estimates of expanded
mixed FEM for Kirchhoff type parabolic
equation . . . . . . . . . . . . . . . . 125--147
Ji-Teng Jia A breakdown-free algorithm for computing
the determinants of periodic tridiagonal
matrices . . . . . . . . . . . . . . . . 149--163
Bernard Bialecki and
Graeme Fairweather and
Andreas Karageorghis and
Jonathan Maack A quadratic spline collocation method
for the Dirichlet biharmonic problem . . 165--199
Francesco Mezzadri and
Emanuele Galligani Modulus-based matrix splitting methods
for horizontal linear complementarity
problems . . . . . . . . . . . . . . . . 201--219
Fredrik Johansson Computing the Lambert $W$ function in
arbitrary-precision complex interval
arithmetic . . . . . . . . . . . . . . . 221--242
Zhendong Gu Chebyshev spectral collocation method
for system of nonlinear Volterra
integral equations . . . . . . . . . . . 243--263
Chun-Hua Guo and
Di Lu A study of Schröder's method for the
matrix $p$-th root using power series
expansions . . . . . . . . . . . . . . . 265--279
Mehdi Dehghan and
Akbar Shirilord Accelerated double-step scale splitting
iteration method for solving a class of
complex symmetric linear systems . . . . 281--304
Yan Tang and
Aviv Gibali New self-adaptive step size algorithms
for solving split variational inclusion
problems and its applications . . . . . 305--331
Ioannis K. Argyros and
Santhosh George and
Kedarnath Senapati Extending the applicability of the
inexact Newton--HSS method for solving
large systems of nonlinear equations . . 333--353
Chaoqian Li and
Shaorong Yang and
Hui Huang and
Yaotang Li and
Yimin Wei Note on error bounds for linear
complementarity problems of Nekrasov
matrices . . . . . . . . . . . . . . . . 355--372
Idoia Cortes Garcia and
Herbert De Gersem and
Sebastian Schöps A structural analysis of field/circuit
coupled problems based on a generalised
circuit element . . . . . . . . . . . . 373--394
Hermann Mena and
Lena-Maria Pfurtscheller and
Tony Stillfjord GPU acceleration of splitting schemes
applied to differential matrix equations 395--419
D. R. Sahu and
A. Pitea and
M. Verma A new iteration technique for nonlinear
operators as concerns convex programming
and feasibility problems . . . . . . . . 421--449
Vjeran Hari On the complex Falk--Langemeyer method 451--483
Fei Xu and
Qiumei Huang A type of cascadic multigrid method for
coupled semilinear elliptic equations 485--510
I. Gholampoor and
M. Tavassoli Kajani A direct numerical method for
approximate solution of inverse reaction
diffusion equation via two-dimensional
Legendre hybrid functions . . . . . . . 511--528
Jianrong Chen and
Yunong Zhang Continuous and discrete zeroing neural
dynamics handling future
unknown-transpose matrix inequality as
well as scalar inequality of linear
class . . . . . . . . . . . . . . . . . 529--547
Jian Huang and
Zhongdi Cen and
Aimin Xu and
Li-Bin Liu A posteriori error estimation for a
singularly perturbed Volterra
integro-differential equation . . . . . 549--563
S\lawomir Milewski A Matlab software for approximate
solution of 2D elliptic problems by
means of the meshless Monte Carlo random
walk method . . . . . . . . . . . . . . 565--591
Xiang-Ke Chang and
Yi He and
Xing-Biao Hu and
Jian-Qing Sun and
Ernst Joachim Weniger Construction of new generalizations of
Wynn's epsilon and rho algorithm by
solving finite difference equations in
the transformation order . . . . . . . . 593--627
Y. Kaouane A tangential method for the balanced
truncation in model reduction . . . . . 629--652
Hamid Mirchi and
Davod Khojasteh Salkuyeh A new preconditioner for elliptic
PDE-constrained optimization problems 653--668
Zhiyong Si and
Yanfang Lei and
Zhang Tong Unconditional optimal error estimate of
the projection/Lagrange--Galerkin finite
element method for the Boussinesq
equations . . . . . . . . . . . . . . . 669--700
Natasa Krklec Jerinki\'c and
Andrea Roznjik Penalty variable sample size method for
solving optimization problems with
equality constraints in a form of
mathematical expectation . . . . . . . . 701--718
Li-Bin Liu and
Guangqing Long and
Zhongdi Cen A robust adaptive grid method for a
nonlinear singularly perturbed
differential equation with integral
boundary condition . . . . . . . . . . . 719--739
Guanglong Ma and
Martin Stynes A direct discontinuous Galerkin finite
element method for convection-dominated
two-point boundary value problems . . . 741--765
Marija Miloloza Pandur Detecting a hyperbolic quadratic
eigenvalue problem by using a subspace
algorithm . . . . . . . . . . . . . . . 767--787
Simeon Reich and
Truong Minh Tuyen A new algorithm for solving the split
common null point problem in Hilbert
spaces . . . . . . . . . . . . . . . . . 789--805
Omar De la Cruz Cabrera and
Mona Matar and
Lothar Reichel Edge importance in a network via line
graphs and the matrix exponential . . . 807--832
Yue Teng and
Li Yang and
Xiaoliang Song and
Bo Yu An augmented Lagrangian proximal
alternating method for sparse discrete
optimization problems . . . . . . . . . 833--866
Faik Gürsoy and
Müzeyyen Ertürk and
Mujahid Abbas A Picard-type iterative algorithm for
general variational inequalities and
nonexpansive mappings . . . . . . . . . 867--883
Juan G. Calvo A new coarse space for overlapping
Schwarz algorithms for H(curl) problems
in three dimensions with irregular
subdomains . . . . . . . . . . . . . . . 885--899
S. Bojari and
M. R. Eslahchi Two families of scaled three-term
conjugate gradient methods with
sufficient descent property for
nonconvex optimization . . . . . . . . . 901--933
Jicheng Li and
Ge Li Error bounds for linear complementarity
problems of S-QN matrices . . . . . . . 935--955
Diane Gallois-Wong and
Sylvie Boldo and
Pascal Cuoq Optimal inverse projection of
floating-point addition . . . . . . . . 957--986
P. Mokhtary and
B. P. Moghaddam and
A. M. Lopes and
J. A. Tenreiro Machado A computational approach for the
non-smooth solution of non-linear weakly
singular Volterra integral equation with
proportional delay . . . . . . . . . . . 987--1006
Sara Pollock and
Yunrong Zhu A matrix analysis approach to discrete
comparison principles for nonmonotone
PDE . . . . . . . . . . . . . . . . . . 1007--1027
Cleonice F. Bracciali and
Junior A. Pereira and
A. Sri Ranga Quadrature rules from a $ R_{I I} $ type
recurrence relation and associated
quadrature rules on the unit circle . . 1029--1061
Min-Young Lee and
Young Ik Kim The dynamical analysis of a
uniparametric family of three-point
optimal eighth-order multiple-root
finders under the Möbius conjugacy map on
the Riemann sphere . . . . . . . . . . . 1063--1090
Naveen Kumar Garg A class of upwind methods based on
generalized eigenvectors for weakly
hyperbolic systems . . . . . . . . . . . 1091--1121
Duong Viet Thong and
Nguyen Anh Triet and
Xiao-Huan Li and
Qiao-Li Dong Strong convergence of extragradient
methods for solving bilevel
pseudo-monotone variational inequality
problems . . . . . . . . . . . . . . . . 1123--1143
Xiuxiu Lin and
Yanping Chen and
Yunqing Huang A posteriori error estimates of hp
spectral element methods for optimal
control problems with $ L^2 $-norm state
constraint . . . . . . . . . . . . . . . 1145--1169
Jun Liu and
John W. Pearson Parameter-robust preconditioning for the
optimal control of the wave equation . . 1171--1203
Yue Hao and
Ai-Li Yang and
Yu-Jiang Wu How to compute the minimum norm least
squares solution of singular linear
system by using the preconditioned HSS
method? . . . . . . . . . . . . . . . . 1205--1221
Xin Li and
Luming Zhang and
Hong-lin Liao Sharp $ H^1 $-norm error estimate of a
cosine pseudo-spectral scheme for $2$D
reaction-subdiffusion equations . . . . 1223--1248
Xian-Ping Wu and
Ri-Huan Ke Backward errors of the linear
complementarity problem . . . . . . . . 1249--1257
Trond Steihaug Computational science in the eighteenth
century. Test cases for the methods of
Newton, Raphson, and Halley: 1685 to
1745 . . . . . . . . . . . . . . . . . . 1259--1275
Li Zhang A derivative-free conjugate residual
method using secant condition for
general large-scale nonlinear equations 1277--1293
Robert H. C. Moir and
Robert M. Corless and
Marc Moreno Maza and
Ning Xie Symbolic--numeric integration of
rational functions . . . . . . . . . . . 1295--1320
Yekini Shehu and
Olaniyi S. Iyiola and
Ferdinard U. Ogbuisi Iterative method with inertial terms for
nonexpansive mappings: applications to
compressed sensing . . . . . . . . . . . 1321--1347
Hao Chen and
Dongping Xu Efficient preconditioners for Radau--IIA
time discretization of space fractional
diffusion equations . . . . . . . . . . 1349--1372
H. P. Bhatt and
A. Q. M. Khaliq and
K. M. Furati Efficient high-order compact exponential
time differencing method for
space-fractional reaction-diffusion
systems with nonhomogeneous boundary
conditions . . . . . . . . . . . . . . . 1373--1397
Radu Miculescu and
Alexandru Mihail and
Silviu-Aurelian Urziceanu A new algorithm that generates the image
of the attractor of a generalized
iterated function system . . . . . . . . 1399--1413
Jiawei Chen and
Yiyun Wang and
Hongjin He and
Yibing Lv Convergence analysis of
positive-indefinite proximal ADMM with a
Glowinski's relaxation factor . . . . . 1415--1440
M. Ganesh and
C. Morgenstern A coercive heterogeneous media Helmholtz
model: formulation, wavenumber-explicit
analysis, and preconditioned high-order
FEM . . . . . . . . . . . . . . . . . . 1441--1487
Pierluigi Amodio and
Luigi Brugnano and
Felice Iavernaro Analysis of spectral Hamiltonian
boundary value methods (SHBVMs) for the
numerical solution of ODE problems . . . 1489--1508
Fan Yang and
Yan Zhang and
Xiao-Xiao Li Landweber iterative method for
identifying the initial value problem of
the time-space fractional diffusion-wave
equation . . . . . . . . . . . . . . . . 1509--1530
Yanan Jiang and
Lihui Weng and
Wei Liu Stationary distribution of the
stochastic theta method for nonlinear
stochastic differential equations . . . 1531--1553
M. Sayadi Shahraki and
A. Delavarkhalafi An arc-search predictor--corrector
infeasible-interior-point algorithm for
$ P_*(\kappa)$-SCLCPs . . . . . . . . . 1555--1575
Liya Liu and
Xiaolong Qin Strong convergence of an
extragradient-like algorithm involving
pseudo-monotone mappings . . . . . . . . 1577--1590
Nguyen Thi Thu Thuy and
Pham Thanh Hieu and
J. J. Strodiot Convergence of a hybrid viscosity
approximation method for finding zeros
of $m$-accretive operators . . . . . . . 1591--1612
Ruigang Shen and
Shi Shu and
Ying Yang and
Benzhuo Lu A decoupling two-grid method for the
time-dependent Poisson--Nernst--Planck
equations . . . . . . . . . . . . . . . 1613--1651
Rida T. Farouki and
Jeffrey A. Strom Computing the roots of sparse
high-degree polynomials that arise from
the study of random simplicial complexes 1653--1670
S. Crespo and
M. Fasondini and
C. Klein and
N. Stoilov and
C. Vallée Multidomain spectral method for the
Gauss hypergeometric function . . . . . 1--35
Yun-Chi Huang and
Siu-Long Lei Fast solvers for finite difference
scheme of two-dimensional time-space
fractional differential equations . . . 37--62
Mahmoud A. Zaky and
Ibrahem G. Ameen A priori error estimates of a Jacobi
spectral method for nonlinear systems of
fractional boundary value problems and
related Volterra--Fredholm integral
equations with smooth solutions . . . . 63--89
Chuanye Gu and
Zhiyou Wu and
Jueyou Li Regularized dual gradient distributed
method for constrained convex
optimization over unbalanced directed
graphs . . . . . . . . . . . . . . . . . 91--115
Yuto Miyatake and
Tomohiro Sogabe and
Shao-Liang Zhang Adaptive SOR methods based on the Wolfe
conditions . . . . . . . . . . . . . . . 117--132
Wei Liu and
Jintao Cui and
Zhifeng Wang A finite difference approximation of
reduced coupled model for slightly
compressible Forchheimer fractures in
karst aquifer system . . . . . . . . . . 133--163
Qian Zhang and
Tengjin Zhao and
Zhiyue Zhang Unfitted finite element for optimal
control problem of the temperature in
composite media with contact resistance 165--180
John Burkardt and
Max Gunzburger and
Wenju Zhao High-precision computation of the weak
Galerkin methods for the fourth-order
problem . . . . . . . . . . . . . . . . 181--205
Mohammad Mursaleen and
Khursheed J. Ansari and
Asif Khan Approximation properties and error
estimation of $q$-Bernstein shifted
operators . . . . . . . . . . . . . . . 207--227
Higinio Ramos and
M. A. Rufai Numerical solution of boundary value
problems by using an optimized two-step
block method . . . . . . . . . . . . . . 229--251
Yabing Sun and
Weidong Zhao An explicit second-order numerical
scheme for mean-field forward backward
stochastic differential equations . . . 253--283
Duong Viet Thong and
Nguyen The Vinh and
Yeol Je Cho New strong convergence theorem of the
inertial projection and contraction
method for variational inequality
problems . . . . . . . . . . . . . . . . 285--305
Yanping Chen and
Qingfeng Li and
Yang Wang and
Yunqing Huang Two-grid methods of finite element
solutions for semi-linear elliptic
interface problems . . . . . . . . . . . 307--330
A. Anciaux-Sedrakian and
L. Grigori and
Z. Jorti and
J. Papez and
S. Yousef Adaptive solution of linear systems of
equations based on a posteriori error
estimators . . . . . . . . . . . . . . . 331--364
Yekini Shehu and
Xiao-Huan Li and
Qiao-Li Dong An efficient projection-type method for
monotone variational inequalities in
Hilbert spaces . . . . . . . . . . . . . 365--388
Jun Yang and
Hongwei Liu and
Guaiwei Li Convergence of a subgradient
extragradient algorithm for solving
monotone variational inequalities . . . 389--405
P. Castillo and
S. Gómez Conservative Local Discontinuous
Galerkin method for the fractional
Klein--Gordon--Schrödinger system with
generalized Yukawa interaction . . . . . 407--425
Jing An and
Huiyuan Li and
Zhimin Zhang Spectral-Galerkin approximation and
optimal error estimate for biharmonic
eigenvalue problems in
circular/spherical/elliptical domains 427--455
Ashish Kumar Nandi and
Jajati Keshari Sahoo and
Debasisha Mishra Three-step alternating iterations for
index 1 and non-singular matrices . . . 457--483
Cristian Daniel Alecsa and
Szilárd Csaba László and
Adrian Viorel A gradient-type algorithm with backward
inertial steps associated to a nonconvex
minimization problem . . . . . . . . . . 485--512
Hui Zhang and
Xiaoyun Jiang and
Rumeng Zheng Chebyshev--Legendre spectral method and
inverse problem analysis for the space
fractional Benjamin--Bona--Mahony
equation . . . . . . . . . . . . . . . . 513--536
Damrongsak Yambangwai and
Sukanya Aunruean and
Tanakit Thianwan A new modified three-step iteration
method for $G$-nonexpansive mappings in
Banach spaces with a graph . . . . . . . 537--565
Xuezhong Wang and
Maolin Che and
Yimin Wei Global uniqueness and solvability of
tensor complementarity problems for $
\mathcal {H}_+ $-tensors . . . . . . . . 567--590
M. Ahmadinia and
H. Afshari A. and
M. Heydari Numerical solution of Itô--Volterra
integral equation by least squares
method . . . . . . . . . . . . . . . . . 591--602
Xiuyun Zheng and
Xiaoliang Dong and
Jiarong Shi and
Wei Yang Further comment on another hybrid
conjugate gradient algorithm for
unconstrained optimization by Andrei . . 603--608
M. L. N. Gonçalves and
F. R. Oliveira On the global convergence of an inexact
quasi-Newton conditional gradient method
for constrained nonlinear systems . . . 609--631
Yongtao Zhou and
Chengjian Zhang and
Luigi Brugnano Preconditioned quasi-compact boundary
value methods for space-fractional
diffusion equations . . . . . . . . . . 633--649
Andrzej Marciniak and
Malgorzata A. Jankowska Interval methods of Adams--Bashforth
type with variable step sizes . . . . . 651--678
Lajos Lóczi Optimal subsets in the stability regions
of multistep methods . . . . . . . . . . 679--715
Daniel Kressner and
Patrick Kürschner and
Stefano Massei Low-rank updates and divide-and-conquer
methods for quadratic matrix equations 717--741
Junjie Ma and
Huilan Liu Fractional collocation boundary value
methods for the second kind Volterra
equations with weakly singular kernels 743--760
Stephen Marsland and
Robert I. McLachlan and
Matthew C. Wilkins Parallelization, initialization, and
boundary treatments for the diamond
scheme . . . . . . . . . . . . . . . . . 761--779
Alireza Hosseini Dehmiry The global convergence of the BFGS
method under a modified Yuan--Wei--Lu
line search technique . . . . . . . . . 781--793
Duong Viet Thong and
Yekini Shehu and
Olaniyi S. Iyiola Weak and strong convergence theorems for
solving pseudo-monotone variational
inequalities with non-Lipschitz mappings 795--823
Anicet Dansou and
Sa\"\ida Mouhoubi and
Cyrille Chazallon Optimizations of a fast multipole
symmetric Galerkin boundary element
method code . . . . . . . . . . . . . . 825--846
Wei Ma and
Xiao-shan Chen Two-step inexact Newton-type method for
inverse singular value problems . . . . 847--870
Mohammad Mehdizadeh Khalsaraei and
Ali Shokri An explicit six-step singularly
$P$-stable Obrechkoff method for the
numerical solution of second-order
oscillatory initial value problems . . . 871--886
Lingsheng Meng and
Bing Zheng and
Yimin Wei Condition numbers of the
multidimensional total least squares
problems having more than one solution 887--908
Ji-Chuan Liu and
Xiao-Chen Li Reconstruction algorithms of an inverse
source problem for the Helmholtz
equation . . . . . . . . . . . . . . . . 909--933
Gonglin Yuan and
Xiaoliang Wang and
Zhou Sheng Family weak conjugate gradient
algorithms and their convergence
analysis for nonconvex functions . . . . 935--956
Avram Sidi A convergence study for reduced rank
extrapolation on nonlinear systems . . . 957--982
Alexander Belyaev and
Pierre-Alain Fayolle An ADMM-based scheme for distance
function approximation . . . . . . . . . 983--996
Suparat Kesornprom and
Nattawut Pholasa and
Prasit Cholamjiak On the convergence analysis of the
gradient-CQ algorithms for the split
feasibility problem . . . . . . . . . . 997--1017
Yi Li and
Yanren Hou and
Yao Rong A second-order artificial compression
method for the evolutionary
Stokes--Darcy system . . . . . . . . . . 1019--1048
Ken'ichiro Tanaka Generation of point sets by convex
optimization for interpolation in
reproducing kernel Hilbert spaces . . . 1049--1079
Meng Li and
Chengming Huang and
Yongliang Zhao Fast conservative numerical algorithm
for the coupled fractional
Klein--Gordon--Schrödinger equation . . . 1081--1119
Mahboub Baccouch An adaptive local discontinuous Galerkin
method for nonlinear two-point
boundary-value problems . . . . . . . . 1121--1153
Shuying Zhai and
Longyuan Wu and
Jingying Wang and
Zhifeng Weng Numerical approximation of the
fractional Cahn--Hilliard equation by
operator splitting method . . . . . . . 1155--1178
Ivan Petkovi\'c and
\Dbarorde Herceg Computers in mathematical research: the
study of three-point root-finding
methods . . . . . . . . . . . . . . . . 1179--1198
Minhong Chen and
Daniel Kressner Recursive blocked algorithms for linear
systems with Kronecker product structure 1199--1216
Rajat Vaish and
Md. Kalimuddin Ahmad Generalized viscosity implicit scheme
with Meir--Keeler contraction for
asymptotically nonexpansive mapping in
Banach spaces . . . . . . . . . . . . . 1217--1237
Froilan Dopico and
Khalide Jbilou and
Mohammed Seaid Special volume on mathematical modeling
with applications . . . . . . . . . . . 1239--1240
Claude Brezinski and
Michela Redivo-Zaglia Some unusual results on extrapolation
methods . . . . . . . . . . . . . . . . 1241--1264
Ilias Abdaoui and
Lakhdar Elbouyahyaoui and
Mohammed Heyouni The simpler block CMRH method for linear
systems . . . . . . . . . . . . . . . . 1265--1293
A. Badahmane and
A. H. Bentbib and
H. Sadok Preconditioned Krylov subspace and
GMRHSS iteration methods for solving the
nonsymmetric saddle point problems . . . 1295--1312
G. P. Deidda and
P. Díaz de Alba and
C. Fenu and
G. Lovicu and
G. Rodriguez FDEMtools: a MATLAB package for FDEM
data inversion . . . . . . . . . . . . . 1313--1327
Jurjen Duintjer Tebbens and
Gérard Meurant On the residual norms, the Ritz values
and the harmonic Ritz values that can be
generated by restarted GMRES . . . . . . 1329--1352
Gérard Meurant On prescribing the convergence behavior
of the conjugate gradient algorithm . . 1353--1380
Lothar Reichel and
Hassane Sadok and
Wei-Hong Zhang Simple stopping criteria for the LSQR
method applied to discrete ill-posed
problems . . . . . . . . . . . . . . . . 1381--1395
M. Essaouini and
B. Abouzaid and
P. Gaudreau and
H. Safouhi Computation of energy eigenvalues of the
anharmonic Coulombic potential with
irregular singularities . . . . . . . . 1397--1409
A. H. Bentbib and
S. El-Halouy and
El M. Sadek Krylov subspace projection method for
Sylvester tensor equation with low rank
right-hand side . . . . . . . . . . . . 1411--1430
Mohamed Farhloul Mixed finite element methods for the
Oseen problem . . . . . . . . . . . . . 1431--1442
A. Elidrissi and
J. Abouir and
B. Benouahmane On the calculation of the poles of
multivariate meromorphic functions using
the symbolic--numeric two-point $ q
d$-algorithm . . . . . . . . . . . . . . 1443--1458
A. H. Bentbib and
M. El Ghomari and
K. Jbilou Extended nonsymmetric global Lanczos
method for matrix function approximation 1459--1479
Moulay Abdellah Chkifa Leja, Fejér--Leja and $R$--Leja sequences
for Richardson iteration . . . . . . . . 1481--1505
M. Errachid and
A. Essanhaji and
A. Messaoudi RMVPIA: a new algorithm for computing
the Lagrange multivariate polynomial
interpolation . . . . . . . . . . . . . 1507--1534
Fatemeh P. A. Beik and
Khalide Jbilou and
Mehdi Najafi-Kalyani and
Lothar Reichel Golub--Kahan bidiagonalization for
ill-conditioned tensor equations with
applications . . . . . . . . . . . . . . 1535--1563
S. Slimani and
I. Medarhri and
K. Najib and
A. Zine Identification of the source function
for a seawater intrusion problem in
unconfined aquifer . . . . . . . . . . . 1565--1587
A. Kouibia and
M. Pasadas and
R. Akhrif A variational method for solving
two-dimensional Bratu's problem . . . . 1589--1599
Weiwei Xu and
Lei Zhu and
Xiaofei Peng and
Hao Liu and
Junfeng Yin A class of modified modulus-based
synchronous multisplitting iteration
methods for linear complementarity
problems . . . . . . . . . . . . . . . . 1--21
Xing Liu and
Weihua Deng Numerical methods for the
two-dimensional Fokker--Planck equation
governing the probability density
function of the tempered fractional
Brownian motion . . . . . . . . . . . . 23--38
Wenlin Qiu and
Da Xu and
Jing Guo and
Jun Zhou A time two-grid algorithm based on
finite difference method for the
two-dimensional nonlinear
time-fractional mobile/immobile
transport model . . . . . . . . . . . . 39--58
Behrouz Kheirfam and
Masoumeh Haghighi A full-Newton step infeasible
interior-point method based on a
trigonometric kernel function without
centering steps . . . . . . . . . . . . 59--75
Jie Ma and
Feng Gao and
Yongshu Li An efficient method for computing the
outer inverse $A_{T,S}^{(2)}$ through
Gauss--Jordan elimination . . . . . . . 77--106
Zhengguang Liu and
Xiaoli Li Efficient modified stabilized invariant
energy quadratization approaches for
phase-field crystal equation . . . . . . 107--132
Tomohiro Suzuki and
Hiroshi Sugiura and
Takemitsu Hasegawa Regions of convergence and dynamics of
Schröder-like iteration formulae as
applied to complex polynomial equations
with multiple roots . . . . . . . . . . 133--144
Luca Dieci and
Manuela Manetta and
Haomin Zhou Double descent and intermittent color
diffusion for landscape exploration . . 145--169
Rekha P. Kulkarni and
Gobinda Rakshit Richardson extrapolation for the
discrete iterated modified projection
solution . . . . . . . . . . . . . . . . 171--189
Ana-Maria Acu and
Ioan Rasa Estimates for the differences of
positive linear operators and their
derivatives . . . . . . . . . . . . . . 191--208
Ahmed A. Al Ghafli and
Hassan J. Al Salman An optimal error bound for a finite
element approximation of spatially
extended predator--prey interaction
model . . . . . . . . . . . . . . . . . 209--229
Michael Bartholomew-Biggs and
Salah Beddiaf and
Bruce Christianson A comparison of methods for traversing
regions of non-convexity in optimization
problems . . . . . . . . . . . . . . . . 231--253
Zhengjie Sun and
Zongmin Wu and
Wenwu Gao An iterated quasi-interpolation approach
for derivative approximation . . . . . . 255--276
Vu Hoang Linh and
Nguyen Duy Truong On convergence of continuous
half-explicit Runge--Kutta methods for a
class of delay differential-algebraic
equations . . . . . . . . . . . . . . . 277--303
Pratima Rai and
Kapil K. Sharma Numerical approximation for a class of
singularly perturbed delay differential
equations with boundary and interior
layer(s) . . . . . . . . . . . . . . . . 305--328
Zhao Yang and
Rong Huang and
Wei Zhu Accurate computations for eigenvalues of
products of
Cauchy-polynomial-Vandermonde matrices 329--351
Mohsen Hoseini and
Shahram Saeidi and
Do Sang Kim On perturbed hybrid steepest descent
method with minimization or
superiorization for subdifferentiable
functions . . . . . . . . . . . . . . . 353--374
Jianfei Huang and
Dandan Yang and
Laurent O. Jay Efficient methods for nonlinear time
fractional diffusion-wave equations and
their fast implementations . . . . . . . 375--397
Feng Ma Convergence study on the proximal
alternating direction method with larger
step size . . . . . . . . . . . . . . . 399--425
Wenwu Gao and
Xuan Zhou Multiscale radial kernels with
high-order generalized Strang--Fix
conditions . . . . . . . . . . . . . . . 427--448
Milena J. Petrovi\'c and
Vladimir Rakocevi\'c and
Dragana Valjarevi\'c and
Dejan Ili\'c A note on hybridization process applied
on transformed double step size model 449--465
Chol-Kyu Pak and
Mun-Chol Kim and
Chang-Ho Rim An efficient third-order scheme for
BSDEs based on nonequidistant difference
scheme . . . . . . . . . . . . . . . . . 467--483
Mohammad Ilati Analysis and application of the
interpolating element-free Galerkin
method for extended Fisher--Kolmogorov
equation which arises in brain tumor
dynamics modeling . . . . . . . . . . . 485--502
Oksana Bihun and
Kathy Driver Orthogonal sequences constructed from
quasi-orthogonal ultraspherical
polynomials . . . . . . . . . . . . . . 503--522
R. Chousurin and
T. Mouktonglang and
B. Wongsaijai and
K. Poochinapan Performance of compact and non-compact
structure preserving algorithms to
traveling wave solutions modeled by the
Kawahara equation . . . . . . . . . . . 523--541
Sergio Amat and
Juan Ruiz and
Juan C. Trillo and
Dionisio F. Yáñez On a family of non-oscillatory
subdivision schemes having regularity $
C^r $ with $ r > 1 $ . . . . . . . . . . 543--569
Jian-Xun Zhao and
Song Wang An interior penalty approach to a
large-scale discretized obstacle problem
with nonlinear constraints . . . . . . . 571--589
André Pierro de Camargo Rounding error analysis of divided
differences schemes: Newton's divided
differences; Neville's algorithm;
Richardson extrapolation; Romberg
quadrature; etc. . . . . . . . . . . . . 591--606
Qian Liu and
Dongyang Shi Superconvergence analysis of a two-grid
method for an energy-stable
Ciarlet--Raviart type scheme of
Cahn--Hilliard equation . . . . . . . . 607--622
Paolo Piersanti and
Xiaoqin Shen Numerical methods for static shallow
shells lying over an obstacle . . . . . 623--652
Jian Lv and
Ze-Hao Xiao and
Li-Ping Pang An incremental bundle method for
portfolio selection problem under
second-order stochastic dominance . . . 653--681
Tongke Wang and
Meng Qin and
Huan Lian The asymptotic approximations to linear
weakly singular Volterra integral
equations via Laplace transform . . . . 683--711
Chuan Lin and
Gabor T. Herman and
Marcelo V. W. Zibetti Enhancement of the Kaczmarz algorithm
with projection adjustment . . . . . . . 713--736
Xiongfeng Song and
Wei Xu and
Ken Hayami and
Ning Zheng Secant variable projection method for
solving nonnegative separable least
squares problems . . . . . . . . . . . . 737--761
Mohammed Yusuf Waziri and
Kabiru Ahmed Hungu and
Jamilu Sabi'u Descent Perry conjugate gradient methods
for systems of monotone nonlinear
equations . . . . . . . . . . . . . . . 763--785
Rui-Xia Li and
Guo-Feng Zhang and
Zhao-Zheng Liang Fast solver of optimal control problems
constrained by Ohta--Kawasaki equations 787--809
Antonio Cicone Iterative filtering as a direct method
for the decomposition of nonstationary
signals . . . . . . . . . . . . . . . . 811--827
Alessandro Buccini and
Pietro Dell'Acqua and
Marco Donatelli A general framework for ADMM
acceleration . . . . . . . . . . . . . . 829--848
Yunong Zhang and
Huanchang Huang and
Min Yang and
Yihong Ling and
Jian Li and
Binbin Qiu New zeroing neural dynamics models for
diagonalization of symmetric matrix
stream . . . . . . . . . . . . . . . . . 849--866
Ali Abdi and
Seyyed Ahmad Hosseini and
Helmut Podhaisky Numerical methods based on the
Floater--Hormann interpolants for stiff
VIEs . . . . . . . . . . . . . . . . . . 867--886
Quang A Dang and
Quang Long Dang Existence results and iterative method
for a fully fourth-order nonlinear
integral boundary value problem . . . . 887--907
Xindi Hu and
Shengfeng Zhu Isogeometric analysis for
time-fractional partial differential
equations . . . . . . . . . . . . . . . 909--930
Faisal Fairag and
Adel Al-Mahdi and
Shahbaz Ahmad Two-Level method for the total
fractional-order variation model in
image deblurring problem . . . . . . . . 931--950
Fang Xie and
Rong-Fei Lin and
Qing-Biao Wu Modified Newton--DSS method for solving
a class of systems of nonlinear
equations with complex symmetric
Jacobian matrices . . . . . . . . . . . 951--975
Miodrag M. Spalevi\'c A note on generalized averaged Gaussian
formulas for a class of weight functions 977--993
Michael S. Floater and
Francesco Patrizi Transfinite mean value interpolation
over polygons . . . . . . . . . . . . . 995--1003
C. Clavero and
J. C. Jorge An efficient and uniformly convergent
scheme for one-dimensional parabolic
singularly perturbed semilinear systems
of reaction-diffusion type . . . . . . . 1005--1027
Hira Iqbal and
Mujahid Abbas and
S. M. Husnine Existence and approximation of fixed
points of multivalued generalized $
\alpha $-nonexpansive mappings in Banach
spaces . . . . . . . . . . . . . . . . . 1029--1049
Adisak Hanjing and
Suthep Suantai Hybrid inertial accelerated algorithms
for split fixed point problems of
demicontractive mappings and equilibrium
problems . . . . . . . . . . . . . . . . 1051--1073
Stephen Edward Moore Discontinuous Galerkin isogeometric
analysis for elliptic problems with
discontinuous diffusion coefficients on
surfaces . . . . . . . . . . . . . . . . 1075--1094
Binjie Li and
Hao Luo and
Xiaoping Xie A space--time finite element method for
fractional wave problems . . . . . . . . 1095--1121
Lei Shi and
Zhong Chen and
Xiaohua Ding and
Qiang Ma A new stable collocation method for
solving a class of nonlinear fractional
delay differential equations . . . . . . 1123--1153
Dilan Kiliç Kurto\uglu and
A. Ihsan Hasçelik and
Gradimir V. Milovanovi\'c A method for efficient computation of
integrals with oscillatory and singular
integrand . . . . . . . . . . . . . . . 1155--1173
Sabine Le Borne and
Michael Wende Multilevel interpolation of scattered
data using $ \mathcal {H}$-matrices . . 1175--1193
Yunqiu Shen and
Tjalling J. Ypma Numerical solution of separable
nonlinear equations with a singular
matrix at the solution . . . . . . . . . 1195--1211
Jean-Paul Chehab and
Marcos Raydan Geometrical inverse matrix approximation
for least-squares problems and
acceleration strategies . . . . . . . . 1213--1231
Na Huang Variable parameter Uzawa method for
solving a class of block three-by-three
saddle point problems . . . . . . . . . 1233--1254
Quy Muoi Pham and
Delf Lachmund and
Dinh Nho H\`ao Convergence of proximal algorithms with
stepsize controls for non-linear inverse
problems and application to sparse
non-negative matrix factorization . . . 1255--1279
Zhongxiao Jia Regularization properties of Krylov
iterative solvers CGME and LSMR for
linear discrete ill-posed problems with
an application to truncated randomized
SVDs . . . . . . . . . . . . . . . . . . 1281--1310
Alpesh Kumar and
Akanksha Bhardwaj A local meshless method for time
fractional nonlinear diffusion wave
equation . . . . . . . . . . . . . . . . 1311--1334
Feng Liao and
Luming Zhang and
Tingchun Wang Two energy-conserving and compact finite
difference schemes for two-dimensional
Schrödinger--Boussinesq equations . . . . 1335--1363
Guanze Huo and
Yongkui Zou and
Yingxiang Xu $B$-method approach to blow-up solutions
of fourth-order semilinear parabolic
equations . . . . . . . . . . . . . . . 1365--1384
Xiaoping Wang and
Huanying Xu and
Haitao Qi Analytical and numerical analysis of
time fractional dual-phase-lag heat
conduction during short-pulse laser
heating . . . . . . . . . . . . . . . . 1385--1408
Avram Sidi Acceleration of convergence of some
infinite sequences $ A_n $ whose
asymptotic expansions involve fractional
powers of $n$ via the $ \tilde {d}^{(m)}
$ transformation . . . . . . . . . . . . 1409--1445
Arnulf Jentzen and
Felix Lindner and
Primoz Pusnik Exponential moment bounds and strong
convergence rates for tamed-truncated
numerical approximations of stochastic
convolutions . . . . . . . . . . . . . . 1447--1473
M. Campos Pinto and
F. Charles and
B. Després and
M. Herda A projection algorithm on the set of
polynomials with two bounds . . . . . . 1475--1498
Phan Thanh An and
Nam D\~ung Hoang and
Nguyen Kieu Linh An efficient improvement of gift
wrapping algorithm for computing the
convex hull of a finite set of points in
$ \mathbb {R}^n $ . . . . . . . . . . . 1499--1518
Jinhong Jia and
Xiangcheng Zheng and
Hongfei Fu and
Pingfei Dai and
Hong Wang A fast method for variable-order
space-fractional diffusion equations . . 1519--1540
Xin Li and
Ting-Zhu Huang and
Xi-Le Zhao and
Teng-Yu Ji and
Yu-Bang Zheng and
Liang-Jian Deng Adaptive total variation and
second-order total variation-based model
for low-rank tensor completion . . . . . 1--24
Sayed Arsalan Sajjadi and
Saeed Pishbin Convergence analysis of the product
integration method for solving the
fourth kind integral equations with
weakly singular kernels . . . . . . . . 25--54
Pham Ngoc Anh and
Ho Phi Tu Subgradient projection methods extended
to monotone bilevel equilibrium problems
in Hilbert spaces . . . . . . . . . . . 55--74
Jorge E. Macías-Díaz A numerically efficient variational
algorithm to solve a fractional
nonlinear elastic string equation . . . 75--102
Xiaowei Jiang and
Yueting Yang and
Yunlong Lu and
Mingyuan Cao Flattened aggregate function method for
nonlinear programming with many
complicated constraints . . . . . . . . 103--122
Dongyang Shi and
Chaoqun Li Superconvergence analysis of two-grid
methods for bacteria equations . . . . . 123--152
Nela Bosner Parallel reduction of four matrices to
condensed form for a generalized matrix
eigenvalue algorithm . . . . . . . . . . 153--178
Tahereh Salimi Siahkolaei and
Davod Khojasteh Salkuyeh On the parameter selection in the
transformed matrix iteration method . . 179--189
Lanmei Deng and
Rong Hu and
Yaping Fang Projection extragradient algorithms for
solving nonmonotone and non-Lipschitzian
equilibrium problems in Hilbert spaces 191--221
Rudnei D. da Cunha and
Elismar R. Oliveira and
Filip Strobin A multiresolution algorithm to generate
images of generalized fuzzy fractal
attractors . . . . . . . . . . . . . . . 223--256
Yi-Fen Ke Convergence analysis on matrix splitting
iteration algorithm for semidefinite
linear complementarity problems . . . . 257--279
Ying Liang and
Hua Xiang and
Shiyang Zhang and
Jun Zou Preconditioners and their analyses for
edge element saddle-point systems
arising from time-harmonic Maxwell's
equations . . . . . . . . . . . . . . . 281--302
Abdellah Bnouhachem A self-adaptive descent LQP alternating
direction method for the structured
variational inequalities . . . . . . . . 303--324
Teng-Teng Yao and
Zhi Zhao and
Zheng-Jian Bai and
Xiao-Qing Jin A Riemannian derivative-free
Polak--Ribiére--Polyak method for tangent
vector field . . . . . . . . . . . . . . 325--355
Xinlong Feng and
Ruijian He and
Zhangxin Chen Superconvergence in $ H^1 $-norm of a
difference finite element method for the
heat equation in a $3$D spatial domain
with almost-uniform mesh . . . . . . . . 357--395
Petra Maria Bartmeyer and
Silvana Bocanegra and
Aurelio Ribeiro Leite Oliveira Switching preconditioners using a hybrid
approach for linear systems arising from
interior point methods for linear
programming . . . . . . . . . . . . . . 397--424
Qiuyu Zhang and
Jian Li and
Pengzhan Huang Recovery type a posteriori error
estimates for the conduction convection
problem . . . . . . . . . . . . . . . . 425--441
Elizaveta Rebrova and
Deanna Needell On block Gaussian sketching for the
Kaczmarz method . . . . . . . . . . . . 443--473
Nira Gruberger and
David Levin Two algorithms for periodic extension on
uniform grids . . . . . . . . . . . . . 475--494
Laurent O. Jay Symplecticness conditions of some low
order partitioned methods for
non-autonomous Hamiltonian systems . . . 495--514
Luba Sapir and
Tamara Kogan and
Ariel Sapir and
Amir Sapir Nonstationary vs. stationary iterative
processes . . . . . . . . . . . . . . . 515--535
Carmen Arévalo and
Gustaf Söderlind and
Yiannis Hadjimichael and
Imre Fekete Local error estimation and step size
control in adaptive linear multistep
methods . . . . . . . . . . . . . . . . 537--563
Duong Viet Thong and
Vu Tien Dung and
Yeol Je Cho A new strong convergence for solving
split variational inclusion problems . . 565--591
Kimiki Tokutome and
Toshihiro Yamada Acceleration of automatic
differentiation of solutions to
parabolic partial differential
equations: a higher order discretization 593--635
Salma Aljawi and
Marco Marletta On the eigenvalues of spectral gaps of
matrix-valued Schrödinger operators . . . 637--657
Hiroshi Sugiura and
Takemitsu Hasegawa A truncated Clenshaw--Curtis formula
approximates integrals over a
semi-infinite interval . . . . . . . . . 659--674
S. Nemati and
Pedro M. Lima and
Delfim F. M. Torres Numerical solution of a class of
third-kind Volterra integral equations
using Jacobi wavelets . . . . . . . . . 675--691
Xinyuan Wu and
Bin Wang and
Lijie Mei Oscillation-preserving algorithms for
efficiently solving highly oscillatory
second-order ODEs . . . . . . . . . . . 693--727
Erdem Altuntac Choice of the parameters in a
primal--dual algorithm for Bregman
iterated variational regularization . . 729--759
Hong Sun and
Zhi-zhong Sun A fast temporal second-order compact ADI
difference scheme for the 2D multi-term
fractional wave equation . . . . . . . . 761--797
Leonardo C. Araujo and
João P. H. Sansão and
Adriano S. Vale-Cardoso Fast computation of binomial
coefficients . . . . . . . . . . . . . . 799--812
Xing Huang and
Fen-Fen Yang Distribution-dependent SDEs with Hölder
continuous drift and $ \alpha $-stable
noise . . . . . . . . . . . . . . . . . 813--831
Vladimir V. Bogdanov and
Yuriy S. Volkov Near-optimal tension parameters in
convexity preserving interpolation by
generalized cubic splines . . . . . . . 833--861
Chen Xu and
Chuanjun Chen and
Xiaofeng Yang Efficient, non-iterative, and decoupled
numerical scheme for a new modified
binary phase-field surfactant system . . 863--885
Minho Kim Fast and stable evaluation of splines
and their derivatives generated by the
seven-direction quartic box-spline . . . 887--909
Ling Liu and
Junjie Ma Block collocation boundary value
solutions of the first-kind Volterra
integral equations . . . . . . . . . . . 911--932
Raffaele D'Ambrosio and
Carmela Scalone On the numerical structure preservation
of nonlinear damped stochastic
oscillators . . . . . . . . . . . . . . 933--952
Krzysztof Gdawiec and
Wies\law Kotarski and
Agnieszka Lisowska Newton's method with fractional
derivatives and various iteration
processes via visual analysis . . . . . 953--1010
Xin Li and
Hong-lin Liao and
Luming Zhang A second-order fast compact scheme with
unequal time-steps for subdiffusion
problems . . . . . . . . . . . . . . . . 1011--1039
Stefan Bara\'nczuk and
Bogdan Szyd\lo Two algorithms for the exchange lemma 1041--1050
Abhimanyua Kumar and
D. K. Gupta and
Eulalia Martínez and
José L. Hueso Convergence and dynamics of improved
Chebyshev--Secant-type methods for non
differentiable operators . . . . . . . . 1051--1070
Zhaopeng Hao and
Wanrong Cao and
Shengyue Li Numerical correction of finite
difference solution for two-dimensional
space-fractional diffusion equations
with boundary singularity . . . . . . . 1071--1087
Changqing Yang and
Jianhua Hou Jacobi spectral approximation for
boundary value problems of nonlinear
fractional pantograph differential
equations . . . . . . . . . . . . . . . 1089--1108
Hatef Dastour and
Wenyuan Liao An optimal $ 13$-point finite difference
scheme for a $2$D Helmholtz equation
with a perfectly matched layer boundary
condition . . . . . . . . . . . . . . . 1109--1141
Yonglei Fang and
Xianfa Hu and
Jiyong Li Explicit pseudo two-step exponential
Runge--Kutta methods for the numerical
integration of first-order differential
equations . . . . . . . . . . . . . . . 1143--1163
E. G. Birgin and
J. M. Martínez and
A. Ramos On constrained optimization with
nonconvex regularization . . . . . . . . 1165--1188
Rachid Ait-Haddou and
Helmut Ruhland Asymptotically optimal quadrature rules
for uniform splines over the real line 1189--1223
Wah June Leong and
Sharareh Enshaei and
Sie Long Kek Diagonal quasi-Newton methods via least
change updating principle with weighted
Frobenius norm . . . . . . . . . . . . . 1225--1241
M. Dessole and
F. Marcuzzi A massively parallel algorithm for
Bordered Almost Block Diagonal Systems
on GPUs . . . . . . . . . . . . . . . . 1243--1263
T. Nikazad and
M. Karimpour Column-oriented algebraic iterative
methods for nonnegative constrained
least squares problems . . . . . . . . . 1265--1284
Mirai Tanaka and
Takayuki Okuno Extension of the LP--Newton method to
conic programming problems via
semi-infinite representation . . . . . . 1285--1302
Sebastian Banert and
Radu Ioan Bot and
Ernö Robert Csetnek Fixing and extending some recent results
on the ADMM algorithm . . . . . . . . . 1303--1325
Nahier Aldhafeeri and
Dimitrios Pappas and
Ivan P. Stanimirovi\'c and
Milan Tasi\'c Representations of generalized inverses
via full-rank QDR decomposition . . . . 1327--1337
Evgenija D. Popova Proving endpoint dependence in solving
interval parametric linear systems . . . 1339--1358
A. Taiwo and
T. O. Alakoya and
O. T. Mewomo Halpern-type iterative process for
solving split common fixed point and
monotone variational inclusion problem
between Banach spaces . . . . . . . . . 1359--1389
Apostolos Hadjidimos and
Michael Tzoumas On equivalence of three-parameter
iterative methods for singular symmetric
saddle-point problem . . . . . . . . . . 1391--1419
R. M. Asharabi and
J. Prestin Accurate sampling formula for
approximating the partial derivatives of
bivariate analytic functions . . . . . . 1421--1441
Ying Wang and
Fawang Liu and
Liquan Mei and
Vo V. Anh A novel alternating-direction implicit
spectral Galerkin method for a
multi-term time-space fractional
diffusion equation in three dimensions 1443--1474
Roger Behling and
Yunier Bello-Cruz and
Luiz-Rafael Santos On the circumcentered-reflection method
for the convex feasibility problem . . . 1475--1494
Yun-Bo Yang and
Yao-Lin Jiang Unconditional optimal error estimates of
linearized backward Euler Galerkin FEMs
for nonlinear Schrödinger--Helmholtz
equations . . . . . . . . . . . . . . . 1495--1522
Jiming Yang and
Jing Zhou A two-grid method for discontinuous
Galerkin approximations to nonlinear
Sobolev equations . . . . . . . . . . . 1523--1541
Wei-Hong Zhang and
Ai-Li Yang and
Yu-Jiang Wu Minimum residual modified HSS iteration
method for a class of complex symmetric
linear systems . . . . . . . . . . . . . 1543--1559
D. R. Sahu and
Ajeet Kumar and
Shin Min Kang Proximal point algorithms based on
$S$-iterative technique for nearly
asymptotically quasi-nonexpansive
mappings and applications . . . . . . . 1561--1590
Yunong Zhang and
Xiao Liu and
Yihong Ling and
Min Yang and
Huanchang Huang Continuous and discrete zeroing dynamics
models using JMP function array and
design formula for solving time-varying
Sylvester-transpose matrix inequality 1591--1614
Mahboub Baccouch Analysis of optimal superconvergence of
the local discontinuous Galerkin method
for nonlinear fourth-order boundary
value problems . . . . . . . . . . . . . 1615--1650
Juliano B. Francisco and
Douglas S. Gonçalves and
Fermín S. V. Bazán and
Lila L. T. Paredes Nonmonotone inexact restoration approach
for minimization with orthogonality
constraints . . . . . . . . . . . . . . 1651--1684
Bo Song and
Yao-Lin Jiang and
Xiaolong Wang Analysis of two new parareal algorithms
based on the
Dirichlet--Neumann/Neumann--Neumann
waveform relaxation method for the heat
equation . . . . . . . . . . . . . . . . 1685--1703
Zengzhen Tan and
Rong Hu and
Yaping Fang A new method for solving split equality
problems via projection dynamical
systems . . . . . . . . . . . . . . . . 1705--1719
Tran Nhat Luan and
Tran Thi Khieu and
Tra Quoc Khanh A filter method with a priori and a
posteriori parameter choice for the
regularization of Cauchy problems for
biharmonic equations . . . . . . . . . . 1721--1746
Kamal Shanazari and
Siamak Banei A meshfree method with a non-overlapping
domain decomposition method based on TPS
for solving the forward-backward heat
equation in two-dimension . . . . . . . 1747--1767
Luisa Fermo and
Maria Grazia Russo and
Giada Serafini Numerical treatment of the generalized
Love integral equation . . . . . . . . . 1769--1789
Hua Zheng and
Seakweng Vong A two-step modulus-based matrix
splitting iteration method for
horizontal linear complementarity
problems . . . . . . . . . . . . . . . . 1791--1810
Minah Oh and
Lina Ma and
Kening Wang $ P_1 $ finite element methods for a
weighted elliptic state-constrained
optimal control problem . . . . . . . . 1--17
Simon Telen and
Sascha Timme and
Marc Van Barel Backward error measures for roots of
polynomials . . . . . . . . . . . . . . 19--39
Sergey P. Shary and
Behnam Moradi Solving interval linear least squares
problems by PPS-methods . . . . . . . . 41--75
Marzieh Hasannasab and
Johannes Hertrich and
Friederike Laus and
Gabriele Steidl Alternatives to the EM algorithm for ML
estimation of location, scatter matrix,
and degree of freedom of the Student $t$
distribution . . . . . . . . . . . . . . 77--118
J. M. Carnicer and
E. Mainar and
J. M. Peña Stability properties of disk polynomials 119--135
Yingzhi Liu and
Xiao-Chuan Cai A central-line coarse preconditioner for
Stokes flows in artery-like domains . . 137--160
Bosu Choi and
Andrew Christlieb and
Yang Wang High-dimensional sparse Fourier
algorithms . . . . . . . . . . . . . . . 161--186
Bengt Fornberg Generalizing the trapezoidal rule in the
complex plane . . . . . . . . . . . . . 187--202
Thái Anh Nhan and
Relja Vulanovi\'c The Bakhvalov mesh: a complete
finite-difference analysis of
two-dimensional singularly perturbed
convection-diffusion problems . . . . . 203--221
Jianfeng Luo and
Xiaozhou Wang and
Yi Zhao Convergence of discrete approximation
for differential linear stochastic
complementarity systems . . . . . . . . 223--262
Heinz H. Bauschke and
Hui Ouyang and
Xianfu Wang On the linear convergence of
circumcentered isometry methods . . . . 263--297
Peng Wang and
Yanzhao Cao and
Xiaoying Han and
Peter Kloeden Mean-square convergence of numerical
methods for random ordinary differential
equations . . . . . . . . . . . . . . . 299--333
Pham Ngoc Anh and
T. V. Thang and
H. T. C. Thach Halpern projection methods for solving
pseudomonotone multivalued variational
inequalities in Hilbert spaces . . . . . 335--363
Shan-Mou Cao and
Zeng-Qi Wang PMHSS iteration method and
preconditioners for Stokes control
PDE-constrained optimization problems 365--380
Pin Lyu and
Seakweng Vong A fast linearized numerical method for
nonlinear time-fractional diffusion
equations . . . . . . . . . . . . . . . 381--408
X. Antoine and
E. Lorin and
Y. Zhang Derivation and analysis of computational
methods for fractional Laplacian
equations with absorbing layers . . . . 409--444
Toni Karvonen and
Simo Särkkä and
Ken'ichiro Tanaka Kernel-based interpolation at
approximate Fekete points . . . . . . . 445--468
Toni Karvonen and
Simo Särkkä and
Ken'ichiro Tanaka Correction to: Kernel-based
interpolation at approximate Fekete
points . . . . . . . . . . . . . . . . . 469--471
Stefan Kunis and
Dominik Nagel On the condition number of Vandermonde
matrices with pairs of nearly-colliding
nodes . . . . . . . . . . . . . . . . . 473--496
Stefan Kunis and
Dominik Nagel Correction to: On the condition number
of Vandermonde matrices with pairs of
nearly-colliding nodes . . . . . . . . . 497--497
Xue-Feng Duan and
Juan Li and
Shan-Qi Duan and
Qing-Wen Wang Numerical method for the generalized
nonnegative tensor factorization problem 499--510
T. E. Simos and
Ch. Tsitouras Evolutionary derivation of Runge--Kutta
pairs for addressing inhomogeneous
linear problems . . . . . . . . . . . . 511--525
Simeon Reich and
Duong Viet Thong and
Qiao-Li Dong and
Xiao-Huan Li and
Vu Tien Dung New algorithms and convergence theorems
for solving variational inequalities
with non-Lipschitz mappings . . . . . . 527--549
Guoyu Zhang and
Chengming Huang and
Mingfa Fei and
Nan Wang A linearized high-order Galerkin finite
element approach for two-dimensional
nonlinear time fractional Klein--Gordon
equations . . . . . . . . . . . . . . . 551--574
Haoen Huang and
Dongyang Fu and
Guancheng Wang and
Long Jin and
Shan Liao and
Huan Wang Modified Newton integration algorithm
with noise suppression for online
dynamic nonlinear optimization . . . . . 575--599
Fu-Rong Lin and
Qiu-Ya Wang and
Xiao-Qing Jin Crank--Nicolson-weighted-shifted--Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations 601--631
Zhengguang Liu Novel energy stable schemes for
Swift--Hohenberg model with
quadratic-cubic nonlinearity based on
the $ H^{-1} $-gradient flow approach 633--650
Fang Chen and
Tian-Yi Li Fast and improved scaled HSS
preconditioner for steady-state
space-fractional diffusion equations . . 651--665
Francesco Mezzadri and
Emanuele Galligani Modulus-based matrix splitting methods
for a class of horizontal nonlinear
complementarity problems . . . . . . . . 667--687
Jinzhi Huang and
Zhongxiao Jia On choices of formulations of computing
the generalized singular value
decomposition of a large matrix pair . . 689--718
Longfei Ren and
Chengjing Wang and
Peipei Tang and
Zheng Ma A dual symmetric Gauss--Seidel
alternating direction method of
multipliers for hyperspectral sparse
unmixing . . . . . . . . . . . . . . . . 719--754
R. Dehghani and
N. Bidabadi and
M. M. Hosseini Using nonlinear functions to approximate
a new quasi-Newton method for
unconstrained optimization problems . . 755--777
Geovani N. Grapiglia and
Ekkehard W. Sachs A generalized worst-case complexity
analysis for non-monotone line searches 779--796
Zhao Yang and
Rong Huang and
Wei Zhu and
Jianzhou Liu Accurate solutions of structured
generalized Kronecker product linear
systems . . . . . . . . . . . . . . . . 797--818
Andrea Raffo and
Silvia Biasotti Weighted quasi-interpolant spline
approximations: Properties and
applications . . . . . . . . . . . . . . 819--847
Avinash Malik Adaptive step size numerical integration
for stochastic differential equations
with discontinuous drift and diffusion 849--872
Long Yuan A plane wave least squares method for
the Maxwell equations in anisotropic
media . . . . . . . . . . . . . . . . . 873--894
Igor Omelyan and
Yuri Kozitsky and
Krzysztof Pilorz Algorithm for numerical solutions to the
kinetic equation of a spatial population
dynamics model with coalescence and
repulsive jumps . . . . . . . . . . . . 895--919
Chengjian Zhang and
Xiaoqiang Yan Convergence and stability of extended
BBVMs for nonlinear
delay-differential--algebraic equations
with piecewise continuous arguments . . 921--937
Xu Chen and
Deng Ding and
Siu-Long Lei and
Wenfei Wang An implicit--explicit preconditioned
direct method for pricing options under
regime-switching tempered fractional
partial differential models . . . . . . 939--965
Carla Jesus and
Ercília Sousa Numerical solutions for asymmetric Lévy
flights . . . . . . . . . . . . . . . . 967--999
Filip Chudy and
Pawe\l Wo\'zny Fast and accurate evaluation of dual
Bernstein polynomials . . . . . . . . . 1001--1015
Munish Kansal and
Alicia Cordero and
Sonia Bhalla and
Juan R. Torregrosa New fourth- and sixth-order classes of
iterative methods for solving systems of
nonlinear equations and their stability
analysis . . . . . . . . . . . . . . . . 1017--1060
Awad H. Al-Mohy and
Bahar Arslan The complex step approximation to the
higher order Fréchet derivatives of a
matrix function . . . . . . . . . . . . 1061--1074
D. R. Sahu and
Y. J. Cho and
Q. L. Dong and
M. R. Kashyap and
X. H. Li Inertial relaxed CQ algorithms for
solving a split feasibility problem in
Hilbert spaces . . . . . . . . . . . . . 1075--1095
L. Gr. Ixaru Numerical computation of the
coefficients in exponential fitting . . 1097--1106
Harry Oviedo and
Oscar Dalmau and
Hugo Lara Two adaptive scaled gradient projection
methods for Stiefel manifold constrained
optimization . . . . . . . . . . . . . . 1107--1127
Xindong Liu and
Zili Chen and
Jinxing Liu On the split common fixed point problem
for strict quasi-$ \varphi
$-pseudocontractive mappings in Banach
spaces . . . . . . . . . . . . . . . . . 1129--1145
Stefan A. Funken and
Anja Schmidt A coarsening algorithm on adaptive
red--green--blue refined meshes . . . . 1147--1176
Alessandro Buccini and
Mirjeta Pasha and
Lothar Reichel Linearized Krylov subspace Bregman
iteration with nonnegativity constraint 1177--1200
Tong Zhang and
Mengmeng Duan Stability and convergence analysis of
stabilized finite element method for the
Kelvin--Voigt viscoelastic fluid flow
model . . . . . . . . . . . . . . . . . 1201--1228
Fan Yang and
Qu Pu and
Xiao-Xiao Li The fractional Landweber method for
identifying the space source term
problem for time-space fractional
diffusion equation . . . . . . . . . . . 1229--1255
Lakhdar Elbouyahyaoui and
Mohammed Heyouni and
Azita Tajaddini and
Farid Saberi-Movahed On restarted and deflated block FOM and
GMRES methods for sequences of shifted
linear systems . . . . . . . . . . . . . 1257--1299
Xueli Bai and
Hongjin He and
Chen Ling and
Guanglu Zhou A nonnegativity preserving algorithm for
multilinear systems with nonsingular $
\mathcal {M} $-tensors . . . . . . . . . 1301--1320
Yuying Zhao and
Xiaojie Wang and
Mengchao Wang On the backward Euler method for a
generalized Ait--Sahalia-type rate model
with Poisson jumps . . . . . . . . . . . 1321--1341
Qun Li and
Bing Zheng Scaled three-term derivative-free
methods for solving large-scale
nonlinear monotone equations . . . . . . 1343--1367
Fátima Lizarte and
Teresa E. Pérez and
Miguel A. Piñar The radial part of a class of Sobolev
polynomials on the unit ball . . . . . . 1369--1389
Amparo Gil and
Javier Segura and
Nico M. Temme Fast and reliable high-accuracy
computation of Gauss--Jacobi quadrature 1391--1419
F. P. A. Beik and
A. El Ichi and
K. Jbilou and
R. Sadaka Tensor extrapolation methods with
applications . . . . . . . . . . . . . . 1421--1444
Jun Liu and
Yao-Lin Jiang and
Xiao-Long Wang and
Yan Wang Waveform relaxation for fractional
sub-diffusion equations . . . . . . . . 1445--1478
Quang A Dang and
Quang Long Dang Simple numerical methods of second- and
third-order convergence for solving a
fully third-order nonlinear boundary
value problem . . . . . . . . . . . . . 1479--1499
Ting Zhao and
Hongwei Liu and
Zexian Liu New subspace minimization conjugate
gradient methods based on regularization
model for unconstrained optimization . . 1501--1534
Iwona Skalna and
Milan Hladík On preconditioning and solving an
extended class of interval parametric
linear systems . . . . . . . . . . . . . 1535--1562
Yanzhen Zhang and
Ying Li and
Musheng Wei and
Hong Zhao An algorithm based on QSVD for the
quaternion equality constrained least
squares problem . . . . . . . . . . . . 1563--1576
Ali Abdi and
Gholamreza Hojjati Second derivative backward
differentiation formulae for ODEs based
on barycentric rational interpolants . . 1577--1591
Guangzhi Du and
Liyun Zuo Local and parallel finite element
methods for the coupled Stokes\slash
Darcy model . . . . . . . . . . . . . . 1593--1611
Ana Alonso Rodríguez and
Francesca Rapetti and
Elena Zappon New degrees of freedom for high-order
Whitney approximations of Darcy's flows 1613--1634
Edmond Chow and
Andreas Frommer and
Daniel B. Szyld Asynchronous Richardson iterations:
theory and practice . . . . . . . . . . 1635--1651
Qi Ding and
Bo Zheng and
Yueqiang Shang Local and parallel finite element
algorithms for the time-dependent Oseen
equations . . . . . . . . . . . . . . . 1653--1677
Milad Karimi and
Fatemeh Zallani and
Khosro Sayevand Wavelet regularization strategy for the
fractional inverse diffusion problem . . 1679--1705
Longbin Wu and
Zhong Chen and
Xiaohua Ding A stable minimal search method for
solving multi-order fractional
differential equations based on
reproducing kernel space . . . . . . . . 1707--1727
John Maclean and
J. E. Bunder and
A. J. Roberts A toolbox of equation-free functions in
Matlab /Octave for efficient system
level simulation . . . . . . . . . . . . 1729--1748
Chaobao Huang and
Martin Stynes $ \alpha $-robust error analysis of a
mixed finite element method for a
time-fractional biharmonic equation . . 1749--1766
Baohua Huang Numerical study on Moore--Penrose
inverse of tensors via Einstein product 1767--1797
Xuhong Yu and
Xueqin Ye and
Zhongqing Wang A fast solver of Legendre--Laguerre
spectral element method for the
Camassa--Holm equation . . . . . . . . . 1--23
Holger Rauhut and
Zeljka Stojanac Tensor theta norms and low rank recovery 25--66
Mohammad Maleki and
Ali Davari Analysis of an adaptive collocation
solution for retarded and neutral delay
systems . . . . . . . . . . . . . . . . 67--91
Zhendong Gu and
Yinying Kong Spectral collocation method for Caputo
fractional terminal value problems . . . 93--111
Khadijeh Nedaiasl and
Raziyeh Dehbozorgi Galerkin finite element method for
nonlinear fractional differential
equations . . . . . . . . . . . . . . . 113--141
Behrouz Kheirfam and
Naser Osmanpour and
Mohammad Keyanpour An arc-search infeasible interior-point
method for semidefinite optimization
with the negative infinity neighborhood 143--163
Jian-Jun Zhang and
Wan-Zhou Ye A modulus-based iterative method for
sparse signal recovery . . . . . . . . . 165--190
Rui-lian Du and
Zhi-zhong Sun Temporal second-order difference methods
for solving multi-term time fractional
mixed diffusion and wave equations . . . 191--226
Yair Censor and
Edgar Garduño and
Elias S. Helou and
Gabor T. Herman Derivative-free superiorization:
principle and algorithm . . . . . . . . 227--248
Naga Raju Gande and
Ashlesha A. Bhise Modified third and fifth order WENO
schemes for inviscid compressible flows 249--279
Thomas C. H. Lux and
Layne T. Watson and
Tyler H. Chang and
Yili Hong and
Kirk Cameron Interpolation of sparse high-dimensional
data . . . . . . . . . . . . . . . . . . 281--313
Aurelien Junior Noupelah and
Antoine Tambue Optimal strong convergence rates of some
Euler-type timestepping schemes for the
finite element discretization SPDEs
driven by additive fractional Brownian
motion and Poisson random measure . . . 315--363
Clemens Hofreither An algorithm for best rational
approximation based on barycentric
rational interpolation . . . . . . . . . 365--388
Jianghua Yin and
Jinbao Jian and
Xianzhen Jiang and
Meixing Liu and
Lingzhi Wang A hybrid three-term conjugate gradient
projection method for constrained
nonlinear monotone equations with
applications . . . . . . . . . . . . . . 389--418
Ying Wang and
Gang Wang and
Linlin Bu and
Liquan Mei Two second-order and linear numerical
schemes for the multi-dimensional
nonlinear time-fractional Schrödinger
equation . . . . . . . . . . . . . . . . 419--451
Taylor Brysiewicz and
Jose Israel Rodriguez and
Frank Sottile and
Thomas Yahl Solving decomposable sparse systems . . 453--474
Aytekin Cibik and
Fatma G. Eroglu and
Songül Kaya On the performance of curvature
stabilization time stepping methods for
double-diffusive natural convection
flows in the presence of magnetic field 475--498
Junjiang Lai and
Fawang Liu and
Vo V. Anh and
Qingxia Liu A space-time finite element method for
solving linear Riesz space fractional
partial differential equations . . . . . 499--520
Marzieh Hasannasab and
Johannes Hertrich and
Friederike Laus and
Gabriele Steidl Correction to: Alternatives to the EM
algorithm for ML estimation of location,
scatter matrix, and degree of freedom of
the Student $t$ distribution . . . . . . 521--522
Cao Wen and
Yang Liu and
Baoli Yin and
Hong Li and
Jinfeng Wang Fast second-order time two-mesh mixed
finite element method for a nonlinear
distributed-order sub-diffusion model 523--553
Yuanpeng Zhu A class of blending functions with $
C^\infty $ smoothness . . . . . . . . . 555--582
Omar De la Cruz Cabrera and
Mona Matar and
Lothar Reichel Centrality measures for node-weighted
networks via line graphs and the matrix
exponential . . . . . . . . . . . . . . 583--614
Diana Estévez Schwarz and
René Lamour Projected explicit and implicit Taylor
series methods for DAEs . . . . . . . . 615--646
Stefano Pozza and
Miroslav Prani\'c The Gauss quadrature for general linear
functionals, Lanczos algorithm, and
minimal partial realization . . . . . . 647--678
M. C. De Bonis and
D. Occorsio and
W. Themistoclakis Filtered interpolation for solving
Prandtl's integro-differential equations 679--709
Xue-Xia Wang and
Jian-Qing Sun and
Ying-Nan Zhang A numerical study on the $N$-periodic
wave solutions of two coupled bilinear
equations . . . . . . . . . . . . . . . 711--728
Mehdi Delkhosh and
Kourosh Parand A new computational method based on
fractional Lagrange functions to solve
multi-term fractional differential
equations . . . . . . . . . . . . . . . 729--766
Ian D. Coope and
Rachael Tappenden Gradient and diagonal Hessian
approximations using quadratic
interpolation models and aligned regular
bases . . . . . . . . . . . . . . . . . 767--791
Yan Tian Barycentric prolate interpolation and
pseudospectral differentiation . . . . . 793--811
Simeon Reich and
Duong Viet Thong and
Prasit Cholamjiak and
Luong Van Long Inertial projection-type methods for
solving pseudomonotone variational
inequality problems in Hilbert space . . 813--835
Leonardo C. Araujo and
João P. H. Sansão and
Adriano S. Vale-Cardoso Fast computation of multinomial
coefficients . . . . . . . . . . . . . . 837--851
Florian Mannel Convergence properties of the
Broyden-like method for mixed
linear-nonlinear systems of equations 853--881
Min Yang and
Yunong Zhang and
Haifeng Hu Relationship between time-instant number
and precision of ZeaD formulas with
proofs . . . . . . . . . . . . . . . . . 883--902
Yabing Sun and
Weidong Zhao Numerical methods for mean-field
stochastic differential equations with
jumps . . . . . . . . . . . . . . . . . 903--937
François Moutier and
Arnaud Vandaele and
Nicolas Gillis Off-diagonal symmetric nonnegative
matrix factorization . . . . . . . . . . 939--963
Zhongxiao Jia and
Haibo Li The joint bidiagonalization process with
partial reorthogonalization . . . . . . 965--992
Hezhi Luo and
Sikai Chen and
Huixian Wu A new branch-and-cut algorithm for
non-convex quadratic programming via
alternative direction method and
semidefinite relaxation . . . . . . . . 993--1024
Andrzej Kuzelewski and
Eugeniusz Zieniuk The FMM accelerated PIES with the
modified binary tree in solving
potential problems for the domains with
curvilinear boundaries . . . . . . . . . 1025--1050
Mootta Prangprakhon and
Nimit Nimana Extrapolated sequential constraint
method for variational inequality over
the intersection of fixed-point sets . . 1051--1075
Dianming Hou and
Hongyi Zhu and
Chuanju Xu Highly efficient schemes for
time-fractional Allen--Cahn equation
using extended SAV approach . . . . . . 1077--1108
Fan Jiang and
Zhongming Wu and
Xingju Cai and
Hongchao Zhang A first-order inexact primal--dual
algorithm for a class of convex-concave
saddle point problems . . . . . . . . . 1109--1136
Dandan Xue and
Yanren Hou A second-order decoupled algorithm with
different subdomain time steps for the
non-stationary Stokes/Darcy model . . . 1137--1182
Rachid Ait-Haddou and
Marie-Laurence Mazure Blossoming and Hermite--Padé
approximation for hypergeometric series 1183--1214
Mircea Ivan and
Vicuta Neagos A representation of the interpolation
polynomial . . . . . . . . . . . . . . . 1215--1231
Walter Gautschi and
Gradimir V. Milovanovi\'c Orthogonal polynomials relative to a
generalized Marchenko--Pastur
probability measure . . . . . . . . . . 1233--1249
Yigui Ou and
Haichan Lin A neurodynamic approach to zero-one
quadratic programming . . . . . . . . . 1251--1274
Stefano Cipolla and
Marco Donatelli and
Fabio Durastante Regularization of inverse problems by an
approximate matrix-function technique 1275--1308
Hong Zhang and
Jingye Yan and
Xu Qian and
Xianming Gu and
Songhe Song On the preserving of the maximum
principle and energy stability of
high-order implicit--explicit
Runge--Kutta schemes for the
space-fractional Allen--Cahn equation 1309--1336
Gérard Meurant and
Jan Papez and
Petr Tichý Accurate error estimation in CG . . . . 1337--1359
Xiaoshen Wang and
Xiu Ye and
Shangyou Zhang Weak Galerkin finite element methods
with or without stabilizers . . . . . . 1361--1381
Davide Palitta and
Patrick Kürschner On the convergence of Krylov methods
with low-rank truncations . . . . . . . 1383--1417
G. N. Ogwo and
C. Izuchukwu and
O. T. Mewomo Inertial methods for finding
minimum-norm solutions of the split
variational inequality problem beyond
monotonicity . . . . . . . . . . . . . . 1419--1456
Ying Jiang and
Bo Wang and
Dandan Yu A fast Fourier--Galerkin method solving
boundary integral equations for the
Helmholtz equation with exponential
convergence . . . . . . . . . . . . . . 1457--1491
Hongchao Kang and
Chunzhi Xiang and
Zhenhua Xu and
Hong Wang Efficient quadrature rules for the
singularly oscillatory Bessel transforms
and their error analysis . . . . . . . . 1493--1521
Guangqing Long and
Rong Jie and
Li-bin Liu Multilevel augmentation methods for
eigen-problems of compact integral
operators . . . . . . . . . . . . . . . 1523--1540
Shenglong Zhou and
Lili Pan and
Naihua Xiu Newton method for $ l_0 $-regularized
optimization . . . . . . . . . . . . . . 1541--1570
Xiaohua Ma and
Chengming Huang An accurate Legendre collocation method
for third-kind Volterra
integro-differential equations with
non-smooth solutions . . . . . . . . . . 1571--1593
Alessandro Buccini and
Lothar Reichel Generalized cross validation for $
l^p$--$ l^q$ minimization . . . . . . . 1595--1616
Jalil Rashidinia and
Tahereh Eftekhari and
Khosrow Maleknejad A novel operational vector for solving
the general form of distributed order
fractional differential equations in the
time domain based on the second kind
Chebyshev wavelets . . . . . . . . . . . 1617--1639
Guoguo Yang and
Kevin Burrage and
Yoshio Komori and
Pamela Burrage and
Xiaohua Ding A class of new Magnus-type methods for
semi-linear non-commutative Itô
stochastic differential equations . . . 1641--1665
Andreea-Paula Voinea-Marinescu and
Liviu Marin and
Franck Delvare BEM-Fading regularization algorithm for
Cauchy problems in $2$D anisotropic heat
conduction . . . . . . . . . . . . . . . 1667--1702
Nasrin Jahan Nasu and
Md. Abdullah Al Mahbub and
Shahid Hussain and
Haibiao Zheng Two-grid finite element method for the
dual-permeability-Stokes fluid flow
model . . . . . . . . . . . . . . . . . 1703--1731
Ya-Jie Liu and
Xiang-Ke Chang and
Yi He and
Xing-Biao Hu Generalizations of Shanks transformation
and corresponding convergence
acceleration algorithms via pfaffians 1733--1756
Bing Tan and
Xiaolong Qin and
Jen-Chih Yao Two modified inertial projection
algorithms for bilevel pseudomonotone
variational inequalities with
applications to optimal control problems 1757--1786
Xuezhong Wang and
Changxin Mo and
Maolin Che and
Yimin Wei Accelerated dynamical approaches for
finding the unique positive solution of
$ \mathcal {K S} $-tensor equations . . 1787--1810
P. S. M. Santos and
G. N. Silva and
R. C. M. Silva Newton-type method for solving
generalized inclusion . . . . . . . . . 1811--1829
A. Taherian and
F. Toutounian Block GPBi--CG method for solving
nonsymmetric linear systems with
multiple right-hand sides and its
convergence analysis . . . . . . . . . . 1831--1850
J. L. Gracia and
E. O'Riordan Numerical approximations to a singularly
perturbed convection--diffusion problem
with a discontinuous initial condition 1851--1873
Dingwen Deng and
Qiang Wu The studies of the linearly modified
energy-preserving finite difference
methods applied to solve two-dimensional
nonlinear coupled wave equations . . . . 1875--1914
Qingtao Li and
Guangzhi Du Local and parallel finite element
methods based on two-grid
discretizations for the nonstationary
Navier--Stokes equations . . . . . . . . 1915--1936
J. Alahmadi and
H. Alqahtani and
M. S. Prani\'c and
L. Reichel Gauss--Laurent-type quadrature rules for
the approximation of functionals of a
nonsymmetric matrix . . . . . . . . . . 1937--1964
Biao Zhang and
Weiping Bu and
Aiguo Xiao Efficient difference method for
time-space fractional diffusion equation
with Robin fractional derivative
boundary condition . . . . . . . . . . . 1965--1988
Fang Chen and
Yu Zhu and
Galina V. Muratova Two-step modulus-based matrix splitting
iteration methods for retinex problem 1989--2005
Wen-Ting Wu On two-subspace randomized extended
Kaczmarz method for solving large linear
least-squares problems . . . . . . . . . 1--31
C. S. Chen and
Malgorzata A. Jankowska and
Andreas Karageorghis RBF-DQ algorithms for elliptic problems
in axisymmetric domains . . . . . . . . 33--63
Zhengguang Liu and
Xiaoli Li Step-by-step solving schemes based on
scalar auxiliary variable and invariant
energy quadratization approaches for
gradient flows . . . . . . . . . . . . . 65--86
Thomas Flynn A persistent adjoint method with dynamic
time-scaling and an application to mass
action kinetics . . . . . . . . . . . . 87--113
Nilima Nigam and
Sara Pollock A simple extrapolation method for
clustered eigenvalues . . . . . . . . . 115--143
Phung Van Manh and
Nguyen Van Trao and
Phan Thanh Tung and
Le Ngoc Cuong Taylor type and Hermite type
interpolants in $ \mathbb {R}^n $ . . . 145--166
Jie Jiang and
Hailin Sun and
Bin Zhou Convergence analysis of sample average
approximation for a class of stochastic
nonlinear complementarity problems: from
two-stage to multistage . . . . . . . . 167--194
Junjun Wang and
Meng Li and
Yu Zhang Superconvergence analysis of
BDF--Galerkin FEM for nonlinear
Schrödinger equation . . . . . . . . . . 195--222
Xin-long Luo and
Hang Xiao and
Jia-hui Lv Continuation Newton methods with the
residual trust-region time-stepping
scheme for nonlinear equations . . . . . 223--247
Makoto Yamashita and
Einosuke Iida and
Yaguang Yang An infeasible interior-point arc-search
algorithm for nonlinear constrained
optimization . . . . . . . . . . . . . . 249--275
Leszek Plaskota and
Pawe\l Samoraj Automatic approximation using
asymptotically optimal adaptive
interpolation . . . . . . . . . . . . . 277--302
Andrew V. Terekhov Generating the Laguerre expansion
coefficients by solving a
one-dimensional transport equation . . . 303--322
Jiansong Zhang and
Yun Yu and
Bingjie Ji and
Yue Yu Numerical analysis of incompressible
wormhole propagation with
mass-preserving characteristic mixed
finite element procedure . . . . . . . . 323--340
Deepika Garg and
Sashikumaar Ganesan Generalized local projection stabilized
nonconforming finite element methods for
Darcy equations . . . . . . . . . . . . 341--369
Jan Papez and
Martin Vohralík Inexpensive guaranteed and efficient
upper bounds on the algebraic error in
finite element discretizations . . . . . 371--407
P. N. Anh and
T. V. Thang and
H. T. C. Thach A subgradient proximal method for
solving a class of monotone multivalued
variational inequality problems . . . . 409--430
Ihor Borachok and
Roman Chapko and
B. Tomas Johansson A method of fundamental solutions for
heat and wave propagation from lateral
Cauchy data . . . . . . . . . . . . . . 431--449
Qi Wang and
Zhanwen Yang and
Chengchao Zhao Numerical blow-up analysis of the
explicit $ L_1 $-scheme for fractional
ordinary differential equations . . . . 451--463
Mehakpreet Singh and
Gavin Walker Finite volume approach for fragmentation
equation and its mathematical analysis 465--486
Filánder A. Sequeira and
Helen Guillén-Oviedo Some aspects on the computational
implementation of diverse terms arising
in mixed virtual element formulations 487--528
Frank Uhlig On the unitary block-decomposability of
1-parameter matrix flows and static
matrices . . . . . . . . . . . . . . . . 529--549
Niel Van Buggenhout and
Marc Van Barel and
Raf Vandebril Generation of orthogonal rational
functions by procedures for structured
matrices . . . . . . . . . . . . . . . . 551--582
Lateef Olakunle Jolaoso and
Maggie Aphane An explicit subgradient extragradient
algorithm with self-adaptive stepsize
for pseudomonotone equilibrium problems
in Banach spaces . . . . . . . . . . . . 583--610
Hanzhang Hu Two-grid method for compressible
miscible displacement problem by mixed
finite element methods and expanded
mixed finite element method of
characteristics . . . . . . . . . . . . 611--636
N. Hoseini Monjezi and
S. Nobakhtian A proximal bundle-based algorithm for
nonsmooth constrained multiobjective
optimization problems with inexact data 637--674
Yvan Notay Rigorous convergence proof of space-time
multigrid with coarsening in space . . . 675--699
Sven-Erik Ekström and
Paris Vassalos A matrix-less method to approximate the
spectrum and the spectral function of
Toeplitz matrices with real eigenvalues 701--720
Cónall Kelly and
Gabriel J. Lord Adaptive Euler methods for stochastic
systems with non-globally Lipschitz
coefficients . . . . . . . . . . . . . . 721--747
Huanxin Cao and
Hongchan Zheng and
Gang Hu Adjusting the energy of Ball surfaces by
modifying unfixed control balls . . . . 749--768
O. K. Oyewole and
H. A. Abass and
A. A. Mebawondu and
K. O. Aremu A Tseng extragradient method for solving
variational inequality problems in
Banach spaces . . . . . . . . . . . . . 769--789
Sunil Kumar and
Shashikant Kumar and
Sumit A posteriori error estimation for
quasilinear singularly perturbed
problems with integral boundary
condition . . . . . . . . . . . . . . . 791--809
Dang Van Hieu and
Simeon Reich and
Pham Ky Anh and
Nguyen Hai Ha A new proximal-like algorithm for
solving split variational inclusion
problems . . . . . . . . . . . . . . . . 811--837
Rui Li and
Zhi-Lin Li and
Jun-Feng Yin A generalized modulus-based Newton
method for solving a class of non-linear
complementarity problems with
$P$-matrices . . . . . . . . . . . . . . 839--853
Guoting Song and
Junhao Hu and
Shuaibin Gao and
Xiaoyue Li The strong convergence and stability of
explicit approximations for nonlinear
stochastic delay differential equations 855--883
Gwanghyun Jo and
Youn Doh Ha Effective multigrid algorithms for
algebraic system arising from static
peridynamic systems . . . . . . . . . . 885--904
Nianyu Yi and
Hailiang Liu A mass- and energy-conserved DG method
for the Schrödinger--Poisson equation . . 905--930
Michael Hanke and
Roswitha März Towards a reliable implementation of
least-squares collocation for higher
index differential-algebraic equations
--- Part 1: basics and ansatz function
choices . . . . . . . . . . . . . . . . 931--963
Michael Hanke and
Roswitha März Towards a reliable implementation of
least-squares collocation for higher
index differential-algebraic equations
--- Part 2: the discrete least-squares
problem . . . . . . . . . . . . . . . . 965--986
Jun-Li Zhu and
Yu-Jiang Wu and
Ai-Li Yang A two-parameter block triangular
preconditioner for double saddle point
problem arising from liquid crystal
directors modeling . . . . . . . . . . . 987--1006
Jia-Qi Chen and
Zheng-Da Huang On a fast deterministic block Kaczmarz
method for solving large-scale linear
systems . . . . . . . . . . . . . . . . 1007--1029
Simeon Reich and
Truong Minh Tuyen and
Nguyen Thi Thu Thuy and
Mai Thi Ngoc Ha A new self-adaptive algorithm for
solving the split common fixed point
problem with multiple output sets in
Hilbert spaces . . . . . . . . . . . . . 1031--1047
Hossein Zare and
Masoud Hajarian An efficient Gauss--Newton algorithm for
solving regularized total least squares
problems . . . . . . . . . . . . . . . . 1049--1073
Ali Abdi and
Gholamreza Hojjati and
Giuseppe Izzo and
Zdzislaw Jackiewicz Global error estimation for explicit
general linear methods . . . . . . . . . 1075--1093
Wenting Mao and
Yanping Chen and
Huasheng Wang A posteriori error estimations of the
Petrov--Galerkin methods for fractional
Helmholtz equations . . . . . . . . . . 1095--1127
Leonardo A. Sousa and
Susana Scheimberg and
Pedro Jorge S. Santos and
Paulo Sérgio M. Santos A quasi-Newton type method for
equilibrium problems . . . . . . . . . . 1129--1143
Sophie Thery and
Charles Pelletier and
Florian Lemarié and
Eric Blayo Analysis of Schwarz waveform relaxation
for the coupled Ekman boundary layer
problem with continuously variable
coefficients . . . . . . . . . . . . . . 1145--1181
Li-Ping Zhang and
Zi-Cai Li and
Ming-Gong Lee and
Hung-Tsai Huang Stability analysis of the method of
fundamental solutions with smooth closed
pseudo-boundaries for Laplace's
equation: better pseudo-boundaries . . . 1183--1222
Pingping Zhang and
Qun Wang Perturbation analysis and condition
numbers of mixed least squares-scaled
total least squares problem . . . . . . 1223--1246
Nancy Chalhoub and
Pascal Omnes and
Toni Sayah and
Rebecca El Zahlaniyeh A posteriori error estimates for the
time-dependent
convection-diffusion-reaction equation
coupled with the Darcy system . . . . . 1247--1286
Xiaoying Jiang and
Xiaowen Li and
Xiang Xu Numerical algorithms for inverse
Sturm--Liouville problems . . . . . . . 1287--1309
Nicola Guglielmi and
Ernst Hairer An efficient algorithm for solving
piecewise-smooth dynamical systems . . . 1311--1334
Constantinos Siettos and
Lucia Russo A numerical method for the approximation
of stable and unstable manifolds of
microscopic simulators . . . . . . . . . 1335--1368
Zohre Aminifard and
Saman Babaie-Kafaki Dai--Liao extensions of a descent hybrid
nonlinear conjugate gradient method with
application in signal processing . . . . 1369--1387
Zongze Yang and
Jungang Wang and
Zhanbin Yuan and
Yufeng Nie Using Gauss--Jacobi quadrature rule to
improve the accuracy of FEM for spatial
fractional problems . . . . . . . . . . 1389--1411
Frank Uhlig Correction to: On the unitary
block-decomposability of 1-parameter
matrix flows and static matrices . . . . 1413--1414
Ying Ma and
Jia Yin Error estimates of finite difference
methods for the Dirac equation in the
massless and nonrelativistic regime . . 1415--1440
William McLean and
Kassem Mustapha Uniform stability for a spatially
discrete, subdiffusive Fokker--Planck
equation . . . . . . . . . . . . . . . . 1441--1463
Hu Chen and
Yanhua Shi and
Yanmin Zhao Sharp error estimate of a
Grünwald--Letnikov scheme for
reaction--subdiffusion equations . . . . 1465--1477
Lutz Kämmerer and
Felix Krahmer and
Toni Volkmer A sample efficient sparse FFT for
arbitrary frequency candidate sets in
high dimensions . . . . . . . . . . . . 1479--1520
André Pierro de Camargo Backward and forward stability analysis
of Neville's algorithm for interpolation
and a pyramid algorithm for the
computation of Lebesgue functions . . . 1521--1531
Simon Becher and
Gunar Matthies Unified analysis for variational time
discretizations of higher order and
higher regularity applied to non-stiff
ODEs . . . . . . . . . . . . . . . . . . 1533--1565
Mahmoud A. Zaky and
Howayda Abo-Gabal and
Eid H. Doha Computational and theoretical aspects of
Romanovski-Bessel polynomials and their
applications in spectral approximations 1567--1601
Zhaolu Tian and
Zhongyun Liu and
Yinghui Dong The coupled iteration algorithms for
computing PageRank . . . . . . . . . . . 1603--1637
Arturo De Marinis and
Felice Iavernaro and
Francesca Mazzia A minimum-time obstacle-avoidance path
planning algorithm for unmanned aerial
vehicles . . . . . . . . . . . . . . . . 1639--1661
Dingwen Deng and
Qiang Wu The error estimations of a two-level
linearized compact ADI method for
solving the nonlinear coupled wave
equations . . . . . . . . . . . . . . . 1663--1693
Ha Manh Linh and
Simeon Reich and
Nguyen Phuong Lan Analysis of two variants of an inertial
projection algorithm for finding the
minimum-norm solutions of variational
inequality and fixed point problems . . 1695--1721
Minglu Ye An infeasible projection type algorithm
for nonmonotone variational inequalities 1723--1742
Tran Thi Khieu and
Tra Quoc Khanh Fractional filter method for recovering
the historical distribution for
diffusion equations with coupling
operator of local and nonlocal type . . 1743--1767
W. Y. Wang and
F. Q. Xia and
K. Tu Inertial-type incremental constraint
projection method for solving
variational inequalities without
Lipschitz continuity . . . . . . . . . . 1769--1798
Archna Kumari and
V. K. Kukreja Error bounds for septic Hermite
interpolation and its implementation to
study modified Burgers' equation . . . . 1799--1821
Yong Chen Second-order IMEX scheme for a system of
partial integro-differential equations
from Asian option pricing under
regime-switching jump-diffusion models 1823--1843
Xian-Ming Gu and
Siu-Long Lei and
Bruno Carpentieri A Hessenberg-type algorithm for
computing PageRank Problems . . . . . . 1845--1863
Junxiang Yang and
Junseok Kim Energy dissipation-preserving
time-dependent auxiliary variable method
for the phase-field crystal and the
Swift--Hohenberg models . . . . . . . . 1865--1894
Claude Brezinski and
Philippe G. Ciarlet Richard Steven Varga, 1928--2022 . . . . 1--2
Hiroshi Sugiura and
Takemitsu Hasegawa Extensions of Clenshaw--Curtis-type
rules to integrals over a semi-infinite
interval . . . . . . . . . . . . . . . . 3--30
Hong-Kui Pang and
Hai-Hua Qin and
Hai-Wei Sun All-at-once method for variable-order
time fractional diffusion equations . . 31--57
Peng Lv and
Bing Zheng Structured backward error analysis for a
class of block three-by-three saddle
point problems . . . . . . . . . . . . . 59--78
Zhao-Zheng Liang and
Owe Axelsson Exact inverse solution techniques for a
class of complex valued block two-by-two
linear systems . . . . . . . . . . . . . 79--98
Paul-Emile Maingé and
Florian Labarre Accelerated methods with fastly
vanishing subgradients for structured
non-smooth minimization . . . . . . . . 99--136
Wenjie Liu and
Boying Wu Unconditional stability and optimal
error estimates of a Crank--Nicolson
Legendre--Galerkin method for the
two-dimensional second-order wave
equation . . . . . . . . . . . . . . . . 137--158
Xiaogang Zhu and
Jimeng Li and
Yaping Zhang A local RBFs-based DQ approximation for
Riesz fractional derivatives and its
applications . . . . . . . . . . . . . . 159--196
Nicholas Pischke and
Ulrich Kohlenbach Quantitative analysis of a
subgradient-type method for equilibrium
problems . . . . . . . . . . . . . . . . 197--219
Nicholas Pischke and
Ulrich Kohlenbach Correction to: Quantitative analysis of
a subgradient-type method for
equilibrium problems . . . . . . . . . . 221--221
Neculai Andrei A note on memory-less SR1 and
memory-less BFGS methods for large-scale
unconstrained optimization . . . . . . . 223--240
Katsuhisa Ozaki and
Takeshi Ogita Generation of test matrices with
specified eigenvalues using
floating-point arithmetic . . . . . . . 241--262
Walter Gautschi and
Gradimir V. Milovanovi\'c Orthogonal polynomials relative to
weight functions of Prudnikov type . . . 263--270
Mostafa Abbaszadeh and
Mehdi Dehghan A class of moving Kriging
interpolation-based DQ methods to
simulate multi-dimensional space Galilei
invariant fractional advection-diffusion
equation . . . . . . . . . . . . . . . . 271--299
Elias Jarlebring and
Parikshit Upadhyaya Implicit algorithms for eigenvector
nonlinearities . . . . . . . . . . . . . 301--321
Tobias Jawecki A study of defect-based error estimates
for the Krylov approximation of $ \phi
$-functions . . . . . . . . . . . . . . 323--361
Qiaohua Liu and
Zhigang Jia On condition numbers of the total least
squares problem with linear equality
constraint . . . . . . . . . . . . . . . 363--385
Li-Ping Pang and
Qi Wu A feasible proximal bundle algorithm
with convexification for nonsmooth,
nonconvex semi-infinite programming . . 387--422
Claudio Lobos and
Cristopher Arenas and
Nancy Hitschfeld Measuring geometrical quality of
different 3D linear element types . . . 423--446
Jin Zhang and
Yanhui Lv Finite element method for singularly
perturbed problems with two parameters
on a Bakhvalov-type mesh in 2D . . . . . 447--475
Xin Liu and
Yufeng Nie Pressure-independent velocity error
estimates for (Navier--)Stokes
nonconforming virtual element
discretization with divergence free . . 477--506
Bouchta Rhanizar On a modified version of the Henrici's
transformation into optimization . . . . 507--522
Vedran Novakovi\'c and
Sanja Singer A Kogbetliantz-type algorithm for the
hyperbolic SVD . . . . . . . . . . . . . 523--561
Dang Quang Long and
Dang Quang A Existence results and numerical method
for solving a fourth-order nonlinear
integro-differential equation . . . . . 563--576
Yonghui Ling and
Juan Liang and
Weihua Lin On semilocal convergence analysis for
two-step Newton method under generalized
Lipschitz conditions in Banach spaces 577--606
G. N. Grapiglia and
M. L. N. Gonçalves and
G. N. Silva A cubic regularization of Newton's
method with finite difference Hessian
approximations . . . . . . . . . . . . . 607--630
Franz Chouly and
Pauline Klein Wave-heat coupling in one-dimensional
unbounded domains: artificial boundary
conditions and an optimized Schwarz
method . . . . . . . . . . . . . . . . . 631--668
Fariba Bakrani Balani and
Masoud Hajarian On the generalized AOR and CG iteration
methods for a class of block two-by-two
linear systems . . . . . . . . . . . . . 669--685
Matthew F. Causley The gamma function via interpolation . . 687--707
Jie Zhou and
Xing Yao and
Wansheng Wang Two-grid finite element methods for
nonlinear time-fractional parabolic
equations . . . . . . . . . . . . . . . 709--730
Yongqiang Suo and
Chenggui Yuan and
Shao-Qin Zhang Weak convergence of Euler scheme for
SDEs with low regular drift . . . . . . 731--747
Hao Chen and
Hai-Wei Sun Second-order maximum principle
preserving Strang's splitting schemes
for anisotropic fractional Allen--Cahn
equations . . . . . . . . . . . . . . . 749--771
Bahman Kalantari and
Fedor Andreev and
Chun Lau Characterization of local optima of
polynomial modulus over a disc . . . . . 773--787
Yingying Xie and
Liuqiang Zhong and
Yuping Zeng Convergence of an adaptive modified WG
method for second-order elliptic problem 789--808
A. S. Hendy and
K. Van Bockstal A solely time-dependent source
reconstruction in a multiterm
time-fractional order diffusion equation
with non-smooth solutions . . . . . . . 809--832
Ali Abdi and
Gholamreza Hojjati and
Zdzislaw Jackiewicz Global error estimation for explicit
second derivative general linear methods 833--850
Roberto Andreani and
Gabriel Haeser and
Leonardo D. Secchin On the best achievable quality of limit
points of augmented Lagrangian schemes 851--877
Roberto Andreani and
Gabriel Haeser and
Leonardo D. Secchin Correction to: On the best achievable
quality of limit points of augmented
Lagrangian schemes . . . . . . . . . . . 879--880
Shuping Yang and
Xiangtuan Xiong and
Yue Sun Stationary iterated weighted Tikhonov
regularization method for identifying an
unknown source term of time-fractional
radial heat equation . . . . . . . . . . 881--903
P. Kubelík and
V. G. Kurbatov and
I. V. Kurbatova Calculating a function of a matrix with
a real spectrum . . . . . . . . . . . . 905--930
Ximing Fang Convergence of modulus-based matrix
splitting iteration method for a class
of nonlinear complementarity problems 931--950
Qinjiao Gao and
Xingping Sun and
Shenggang Zhang Multivariate quadrature rules on
crosslet sparse grids . . . . . . . . . 951--962
Soumyarani Mishra and
Ambit K. Pany Completely discrete schemes for 2D
Sobolev equations with Burgers' type
nonlinearity . . . . . . . . . . . . . . 963--987
Qiming Wang and
Zhaojie Zhou A priori and a posteriori error analysis
for virtual element discretization of
elliptic optimal control problem . . . . 989--1015
Xiangli Li and
Wenjuan Zhao A modified conjugate gradient method
based on the self-scaling memoryless
BFGS update . . . . . . . . . . . . . . 1017--1042
Aurél Galántai Convergence of the Nelder--Mead method 1043--1072
Gautam Singh and
Srinivasan Natesan Superconvergence error estimates of
discontinuous Galerkin time stepping for
singularly perturbed parabolic problems 1073--1090
Haotao Cai Oscillation-preserving
Legendre--Galerkin methods for second
kind integral equations with highly
oscillatory kernels . . . . . . . . . . 1091--1115
Jiali Xu and
Haiyan Su and
Zhilin Li Optimal convergence of three iterative
methods based on nonconforming finite
element discretization for 2D/3D MHD
equations . . . . . . . . . . . . . . . 1117--1151
Y. Chakir and
J. Abouir and
B. Benouahmane Two-dimensional Laplace transform
inversion using bivariate homogeneous
two-point Padé approximants . . . . . . . 1153--1174
Nicholas J. Higham and
Mantas Mikaitis \pkgAnymatrix: an extensible MATLAB
matrix collection . . . . . . . . . . . 1175--1196
Ningning Han and
Jian Lu and
Shidong Li The finite steps of convergence of the
fast thresholding algorithms with
$f$-feedbacks in compressed sensing . . 1197--1223
Harry Oviedo and
Roberto Andreani and
Marcos Raydan A family of optimal weighted
conjugate-gradient-type methods for
strictly convex quadratic minimization 1225--1252
T. Nikazad and
M. Abbasi and
T. Elfving A new step size rule for the
superiorization method and its
application in computerized tomography 1253--1277
Si-Wei Liao and
Guo-Feng Zhang and
Zhao-Zheng Liang A generalized variant of two-sweep
modulus-based matrix splitting iteration
method for solving horizontal linear
complementarity problems . . . . . . . . 1279--1303
Bengt Fornberg Finite difference formulas in the
complex plane . . . . . . . . . . . . . 1305--1326
Bin Li and
Yuan Lei Hybrid algorithms with active set
prediction for solving linear
inequalities in a least squares sense 1327--1356
Pradip Roul and
Vikas Rohil A novel high-order numerical scheme and
its analysis for the two-dimensional
time-fractional reaction--subdiffusion
equation . . . . . . . . . . . . . . . . 1357--1387
Eliass Zafati Discussions on a macro multi-time scales
coupling method: existence and
uniqueness of the numerical solution and
strict non-negativity of the Schur
complement . . . . . . . . . . . . . . . 1389--1417
Qingmin Yang and
Xiao Shan Chen On estimating the separation associated
with the periodic continuous Sylvester
equation . . . . . . . . . . . . . . . . 1419--1435
Gang Pang and
Songsong Ji A fast stable accurate artificial
boundary condition for the linearized
Green--Naghdi system . . . . . . . . . . 1437--1463
Jianzhou Liu and
Qi Zhou and
Yebo Xiong Upper norm bounds for the inverse of
locally doubly strictly diagonally
dominant matrices with its applications
in linear complementarity problems . . . 1465--1491
Hideaki Iiduka and
Hiroyuki Sakai Riemannian stochastic fixed point
optimization algorithm . . . . . . . . . 1493--1517
Yonghui Bo and
Yushun Wang and
Wenjun Cai Arbitrary high-order linearly implicit
energy-preserving algorithms for
Hamiltonian PDEs . . . . . . . . . . . . 1519--1546
Francesco Mezzadri A modulus-based formulation for the
vertical linear complementarity problem 1547--1568
S. Bodaghi and
A. Zakeri and
A. H. Salehi Shayegan Discrete mollification in Bernstein
basis and space marching scheme for
numerical solution of an inverse
two-phase one-dimensional Stefan problem 1569--1592
Bing Tan and
Xiaolong Qin and
Sun Young Cho Revisiting subgradient extragradient
methods for solving variational
inequalities . . . . . . . . . . . . . . 1593--1615
Yadong Zhang and
Minfu Feng A mixed virtual element method for the
time-fractional fourth-order
subdiffusion equation . . . . . . . . . 1617--1637
Jennifer Scott and
Miroslav Tuma A null-space approach for large-scale
symmetric saddle point systems with a
small and non zero $ (2, 2) $ block . . 1639--1667
Xin He and
Rong Hu and
Ya-Ping Fang Inertial accelerated primal-dual methods
for linear equality constrained convex
optimization problems . . . . . . . . . 1669--1690
J. M. Carnicer and
Y. Khiar and
J. M. Peña Inverse central ordering for the Newton
interpolation formula . . . . . . . . . 1691--1713
Bui Van Dinh and
Hy Duc Manh and
Tran Thi Huyen Thanh A modified Solodov--Svaiter method for
solving nonmonotone variational
inequality problems . . . . . . . . . . 1715--1734
Shiliang Wu and
Liang Li New modulus-based matrix splitting
methods for implicit complementarity
problem . . . . . . . . . . . . . . . . 1735--1754
Meng Li and
Xianbing Luo An EMC-HDG scheme for the
convection-diffusion equation with
random diffusivity . . . . . . . . . . . 1755--1776
Yan Wang and
Chenliang Li A modulus-based cascadic multigrid
method for elliptic variational
inequality problems . . . . . . . . . . 1777--1791
Simeon Reich and
Truong Minh Tuyen A generalized cyclic iterative method
for solving variational inequalities
over the solution set of a split common
fixed point problem . . . . . . . . . . 1--17
Nan Li and
Lihong Zhi Improved two-step Newton's method for
computing simple multiple zeros of
polynomial systems . . . . . . . . . . . 19--50
Sergio Amat and
David Levin and
Dionisio F. Yáñez A class of $ C^2 $ quasi-interpolating
splines free of Gibbs phenomenon . . . . 51--79
F. Chaouqui and
M. J. Gander and
T. Vanzan Linear and nonlinear substructured
Restricted Additive Schwarz iterations
and preconditioning . . . . . . . . . . 81--107
Bernhard Beckermann and
Joanna Bisch and
Robert Luce On the rational approximation of Markov
functions, with applications to the
computation of Markov functions of
Toeplitz matrices . . . . . . . . . . . 109--144
Gonglin Yuan and
Heshu Yang and
Mengxiang Zhang Adaptive three-term PRP algorithms
without gradient Lipschitz continuity
condition for nonconvex functions . . . 145--160
Xianzhen Jiang and
Wei Liao and
Jinbao Jian A new family of hybrid three-term
conjugate gradient methods with
applications in image restoration . . . 161--191
Chaoyi Yang and
Brian C. Fabien An adaptive mesh refinement method for
indirectly solving optimal control
problems . . . . . . . . . . . . . . . . 193--225
Tahereh Majidi and
Ali Abdi and
Gholamreza Hojjati Generalized second derivative linear
multistep methods for ordinary
differential equations . . . . . . . . . 227--250
K. K. Pandey and
P. Viswanathan In reference to a self-referential
approach towards smooth multivariate
approximation . . . . . . . . . . . . . 251--281
Zhong Zheng and
Min-Li Zeng and
Guo-Feng Zhang A variant of PMHSS iteration method for
a class of complex symmetric indefinite
linear systems . . . . . . . . . . . . . 283--300
Tomás Gergelits and
Bjòrn Fredrik Nielsen and
Zdenek Strakos Numerical approximation of the spectrum
of self-adjoint operators in operator
preconditioning . . . . . . . . . . . . 301--325
Le Van Vinh and
Van Nam Tran and
Phan Tu Vuong A second-order dynamical system for
equilibrium problems . . . . . . . . . . 327--351
Gonglin Yuan and
Pengyuan Li and
Junyu Lu The global convergence of the BFGS
method with a modified WWP line search
for nonconvex functions . . . . . . . . 353--365
Pham Quy Muoi and
Duong Xuan Hiep Proximal algorithm for minimization
problems in $ l_0$-regularization for
nonlinear inverse problems . . . . . . . 367--388
Idoia Cortes Garcia and
Iryna Kulchytska-Ruchka and
Sebastian Schöps Parareal for index two differential
algebraic equations . . . . . . . . . . 389--412
G. Ciaramella and
T. Vanzan Substructured two-grid and multi-grid
domain decomposition methods . . . . . . 413--448
Do Y. Kwak and
Hyeokjoo Park A formal construction of a
divergence-free basis in the
nonconforming virtual element method for
the Stokes problem . . . . . . . . . . . 449--471
Yifei Wang and
Jin Huang and
Ting Deng A combination method for solving
multi-dimensional systems of Volterra
integral equations with weakly singular
kernels . . . . . . . . . . . . . . . . 473--504
Bhuwan Chandra Joshi Mathematical programs with vanishing
constraints involving strongly invex
functions . . . . . . . . . . . . . . . 505--530
F. A. Costabile and
M. I. Gualtieri and
A. Napoli Bivariate general Appell interpolation
problem . . . . . . . . . . . . . . . . 531--556
Qiyuan Wei and
Liwei Zhang Yosida-regularization based differential
equation approach to generalized
equations with applications to nonlinear
convex programming . . . . . . . . . . . 557--581
Emmett Padway and
Dimitri Mavriplis Approximate linearization of fixed-point
iterations . . . . . . . . . . . . . . . 583--614
Gajendra Babu and
M. Prithvi and
V. P. Ramesh A robust numerical algorithm on harmonic
mesh for parabolic singularly perturbed
convection-diffusion problems with time
delay . . . . . . . . . . . . . . . . . 615--634
Guangzhi Du and
Liyun Zuo Local and parallel partition of unity
scheme for the mixed
Navier--Stokes--Darcy problem . . . . . 635--650
S. Slimani and
M. Farhloul and
A. Zine Mixed formulation of a stationary
seawater intrusion problem in confined
aquifers . . . . . . . . . . . . . . . . 651--669
Miroslav S. Petrov and
Todor D. Todorov and
Freddie D. Witherden Enabling four-dimensional conformal
hybrid meshing with cubic pyramids . . . 671--709
Yaguang Yang An efficient arc-search interior-point
algorithm for convex quadratic
programming with box constraints . . . . 711--748
Martin Morin and
Pontus Giselsson Cocoercivity, smoothness and bias in
variance-reduced stochastic gradient
methods . . . . . . . . . . . . . . . . 749--772
Zdenek Dostál and
David Horák and
Oldrich Vlach Highly scalable hybrid domain
decomposition method for the solution of
huge scalar variational inequalities . . 773--801
Zhizhi Li and
Huai Zhang and
Le Ou-Yang Anderson accelerating the preconditioned
modulus approach for linear
complementarity problems on second-order
cones . . . . . . . . . . . . . . . . . 803--839
E. Mainar and
J. M. Peña and
B. Rubio Total positivity and accurate
computations with Gram matrices of
Bernstein bases . . . . . . . . . . . . 841--859
Pierluigi Amodio and
Luigi Brugnano and
Felice Iavernaro Arbitrarily high-order energy-conserving
methods for Poisson problems . . . . . . 861--894
Li-Ping Zhang and
Zi-Cai Li and
Hung-Tsai Huang Spurious eigenvalue-free algorithms of
the method of fundamental solutions for
solving the Helmholtz equation in
bounded multiply connected domains . . . 895--932
Renan W. Prado and
Sandra A. Santos and
Lucas E. A. Simões On the convergence analysis of a penalty
algorithm for nonsmooth optimization and
its performance for solving hard-sphere
problems . . . . . . . . . . . . . . . . 933--957
Dongho Kim and
Eun-Jae Park and
Boyoon Seo Error analysis for the pseudostress
formulation of unsteady Stokes problem 959--996
Timo Betcke and
Micha\l Bosy and
Erik Burman Hybrid coupling of finite element and
boundary element methods using Nitsche's
method and the Calderon projection . . . 997--1019
Subhash Chandra and
Syed Abbas Analysis of fractal dimension of mixed
Riemann--Liouville integral . . . . . . 1021--1046
Monica Dessole and
Fabio Marcuzzi Deviation maximization for
rank-revealing $ Q R $ factorizations 1047--1079
Qifeng Zhang and
Yifan Qin and
Zhi-zhong Sun Linearly compact scheme for 2D Sobolev
equation with Burgers' type nonlinearity 1081--1114
Bernard Bialecki and
Graeme Fairweather and
Andreas Karageorghis An optimal two-step quadratic spline
collocation method for the Dirichlet
biharmonic problem . . . . . . . . . . . 1115--1143
Hongwu Zhang and
Yong Lv Iteration regularization method for a
sideways problem of time-fractional
diffusion equation . . . . . . . . . . . 1145--1163
Xin-Hui Shao and
Zhe Wang and
Hai-Long Shen A sign-based linear method for
horizontal linear complementarity
problems . . . . . . . . . . . . . . . . 1165--1181
Harry Oviedo Global convergence of Riemannian line
search methods with a Zhang--Hager-type
condition . . . . . . . . . . . . . . . 1183--1203
Tomasz Bochacik and
Pawe\l Przyby\lowicz On the randomized Euler schemes for ODEs
under inexact information . . . . . . . 1205--1229
Bingzhen Zhou and
Bo Wang and
Ziqing Xie A hybridizable discontinuous triangular
spectral element method on unstructured
meshes and its hp-error estimates . . . 1231--1260
Jonni Lohi Systematic implementation of higher
order Whitney forms in methods based on
discrete exterior calculus . . . . . . . 1261--1285
Zhenhua Xu and
Zhanmei Lv and
Hongrui Geng Efficient numerical methods for Cauchy
principal value integrals with highly
oscillatory integrands . . . . . . . . . 1287--1314
Lars Eldén and
Maryam Dehghan A Krylov--Schur-like method for
computing the best rank-($ r_1, r_2,
r_3$) approximation of large and sparse
tensors . . . . . . . . . . . . . . . . 1315--1347
Gabriel Jarry-Bolduc Approximating the diagonal of a Hessian:
which sample set of points should be
used . . . . . . . . . . . . . . . . . . 1349--1361
Bi-Cong Ren and
Fang Chen and
Xiao-Liang Wang Improved splitting preconditioner for
double saddle point problems arising
from liquid crystal director modeling 1363--1379
Pedro R. S. Antunes A well-conditioned method of fundamental
solutions for Laplace equation . . . . . 1381--1405
José Mario Martínez and
Lúcio Tunes Santos On two conjectures about Dennis--Moré
conditions . . . . . . . . . . . . . . . 1407--1425
Alexander J. Zaslavski The method of cyclic projections for
closed convex sets in a Hilbert space
under the presence of computational
errors . . . . . . . . . . . . . . . . . 1427--1439
Hassan Mohammad and
Aliyu Muhammed Awwal Globally convergent diagonal
Polak--Ribi\`ere--Polyak like algorithm
for nonlinear equations . . . . . . . . 1441--1460
Gang Wang and
Dong Zhang and
Vasily. I. Vasiliev and
Tongsong Jiang A complex structure-preserving algorithm
for the full rank decomposition of
quaternion matrices and its applications 1461--1481
Bo Zheng and
Yueqiang Shang A three-step defect-correction algorithm
for incompressible flows with friction
boundary conditions . . . . . . . . . . 1483--1510
Jinliang Yan and
Ling Zhu and
Fuqiang Lu and
Sihui Zheng Linearly implicit and second-order
energy-preserving schemes for the
modified Korteweg--de Vries equation . . 1511--1546
Walter Gautschi Another look at polynomials orthogonal
relative to exponential integral weight
functions . . . . . . . . . . . . . . . 1547--1557
Min Zhang and
Guo-Feng Zhang Fast solution method and simulation for
the 2D time-space fractional
Black--Scholes equation governing
European two-asset option pricing . . . 1559--1575
Kevin Burrage and
Pamela M. Burrage and
Grant Lythe Effective numerical methods for
simulating diffusion on a spherical
surface in three dimensions . . . . . . 1577--1596
Yao Cheng and
Li Yan and
Yanjie Mei Balanced-norm error estimate of the
local discontinuous Galerkin method on
layer-adapted meshes for
reaction-diffusion problems . . . . . . 1597--1626
Yan Wang On nested Picard iterative integrators
for highly oscillatory second-order
differential equations . . . . . . . . . 1627--1651
Manuel Bogoya and
Sven-Erik Ekström and
Stefano Serra-Capizzano Fast Toeplitz eigenvalue computations,
joining interpolation-extrapolation
matrix-less algorithms and simple-loop
theory . . . . . . . . . . . . . . . . . 1653--1676
Wumei Sun and
Hongwei Liu and
Zexian Liu Several accelerated subspace
minimization conjugate gradient methods
based on regularization model and
convergence rate analysis for nonconvex
problems . . . . . . . . . . . . . . . . 1677--1719
Michael Hanke On the sensitivity of implementations of
a least-squares collocation method for
linear higher-index
differential-algebraic equations . . . . 1721--1754
Junaid Ahmad and
Kifayat Ullah and
Muhammad Arshad Convergence, weak $ w^2 $ stability, and
data dependence results for the $F$
iterative scheme in hyperbolic spaces 1755--1778
Rong Li and
Bing Zheng The $ l_{2, p} $ regularized total
variation with overlapping group
sparsity prior for image restoration
with impulse noise . . . . . . . . . . . 1779--1814
Fengxia Zhang and
Jianli Zhao A real structure-preserving algorithm
based on the quaternion $ Q R $
decomposition for the quaternion
equality constrained least squares
problem . . . . . . . . . . . . . . . . 1815--1827
Natalia Czyzewska and
Pawe\l M. Morkisz and
Pawe\l Przyby\lowicz Approximation of solutions of DDEs under
nonstandard assumptions via Euler scheme 1829--1854
Ramón Orive and
Aleksandar V. Pej\vcev and
Miodrag M. Spalevi\'c and
Ljubica Mihi\'c On the Gauss--Kronrod quadrature formula
for a modified weight function of
Chebyshev type . . . . . . . . . . . . . 1855--1877
Luca Dieci and
Alessandra Papini and
Alessandro Pugliese Decompositions and coalescing
eigenvalues of symmetric definite
pencils depending on parameters . . . . 1879--1910
Michela Redivo-Zaglia Preface . . . . . . . . . . . . . . . . 1--3
A. H. Bentbib and
M. El Ghomari and
K. Jbilou and
L. Reichel The global Golub--Kahan method and Gauss
quadrature for tensor function
approximation . . . . . . . . . . . . . 5--34
Peter Benner and
Davide Palitta and
Jens Saak On an integrated Krylov--ADI solver for
large-scale Lyapunov equations . . . . . 35--63
Jean-Paul Berrut and
Manfred R. Trummer Extrapolation quadrature from equispaced
samples of functions with jumps . . . . 65--88
D. A. Bini and
B. Iannazzo and
B. Meini and
J. Meng and
L. Robol Computing eigenvalues of semi-infinite
quasi-Toeplitz matrices . . . . . . . . 89--118
Erik G. Boman and
Andrew J. Higgins and
Daniel B. Szyld Optimal size of the block in block GMRES
on GPUs: computational model and
experiments . . . . . . . . . . . . . . 119--147
Brigida Bonino and
Claudio Estatico and
Marta Lazzaretti Dual descent regularization algorithms
in variable exponent Lebesgue spaces for
imaging . . . . . . . . . . . . . . . . 149--182
Cleonice F. Bracciali and
Miguel A. Piñar On multivariate orthogonal polynomials
and elementary symmetric functions . . . 183--206
Claude Brezinski and
Michela Redivo-Zaglia and
Ahmed Salam On the kernel of vector $ \epsilon
$-algorithm and related topics . . . . . 207--221
Alessandro Buccini and
Lucas Onisk and
Lothar Reichel An Arnoldi-based preconditioner for
iterated Tikhonov regularization . . . . 223--245
Zvonimir Bujanovi\'c and
Daniel Kressner and
Christian Schröder Iterative refinement of Schur
decompositions . . . . . . . . . . . . . 247--267
Adhemar Bultheel and
Carlos Díaz Mendoza Two-point Padé approximation to
Herglotz--Riesz transforms . . . . . . . 269--299
Bastien Chaudet-Dumas and
Martin J. Gander Cross-points in the Dirichlet--Neumann
method I: well-posedness and convergence
issues . . . . . . . . . . . . . . . . . 301--334
Xiao-Min Chen and
Xiang-Ke Chang and
Yi He and
Xing-Biao Hu Generalized discrete Lotka--Volterra
equation, orthogonal polynomials and
generalized epsilon algorithm . . . . . 335--375
Stefano Cipolla and
Stefano Pozza and
Michela Redivo-Zaglia and
Niel Van Buggenhout A Lanczos-type procedure for tensors . . 377--406
Anna Concas and
Caterina Fenu and
Giuseppe Rodriguez and
Raf Vandebril The seriation problem in the presence of
a double Fiedler value . . . . . . . . . 407--435
Nadiia Derevianko and
Gerlind Plonka and
Raha Razavi ESPRIT versus ESPIRA for reconstruction
of short cosine sums and its application 437--470
Patricia D\'ìaz de Alba and
Luisa Fermo and
Federica Pes and
Giuseppe Rodriguez Regularized minimal-norm solution of an
overdetermined system of first kind
integral equations . . . . . . . . . . . 471--502
Rafael D\'ìaz Fuentes and
Marco Donatelli and
Caterina Fenu and
Giorgio Mantica Estimating the trace of matrix functions
with application to complex networks . . 503--522
D. Lj. Djuki\'c and
R. M. Mutavd\vzi\'c Djuki\'c and
L. Reichel and
M. M. Spalevi\'c Internality of generalized averaged
Gauss quadrature rules and truncated
variants for modified Chebyshev measures
of the third and fourth kinds . . . . . 523--544
Dusan Lj Djuki\'c and
Luisa Fermo and
Rada M. Mutavdzi\'c Djuki\'c Averaged cubature schemes on the real
positive semiaxis . . . . . . . . . . . 545--569
Adam Doliwa and
Artur Siemaszko Integrability and geometry of the Wynn
recurrence . . . . . . . . . . . . . . . 571--596
Smahane El-Halouy and
Silvia Noschese and
Lothar Reichel Perron communicability and sensitivity
of multilayer networks . . . . . . . . . 597--617
Dario Fasino Orthogonal Cauchy-like matrices . . . . 619--637
Andreas Frommer and
Daniel B. Szyld On the convergence of randomized and
greedy relaxation schemes for solving
nonsingular linear systems of equations 639--664
Carlos Hermoso and
Edmundo J. Huertas and
Alberto Lastra and
Francisco Marcellán Higher-order recurrence relations,
Sobolev-type inner products and matrix
factorizations . . . . . . . . . . . . . 665--692
Akira Imakura and
Keiichi Morikuni and
Akitoshi Takayasu Complex moment-based methods for
differential eigenvalue problems . . . . 693--721
Pinaki Prasad Kar and
Kerstin Jordaan and
Priyabrat Gochhayat Stieltjes interlacing of zeros of little
$q$-Jacobi and $q$-Laguerre polynomials
from different sequences . . . . . . . . 723--746
Ferre Knaepkens and
Annie Cuyt On the robustness of exponential base
terms and the Padé denominator in some
least squares sense . . . . . . . . . . 747--766
Teresa Laudadio and
Nicola Mastronardi and
Paul Van Dooren Computing Gaussian quadrature rules with
high relative accuracy . . . . . . . . . 767--793
Xue-lei Lin and
Xin Huang and
Michael K. Ng and
Hai-Wei Sun A $ \tau $-preconditioner for a
non-symmetric linear system arising from
multi-dimensional Riemann--Liouville
fractional diffusion equation . . . . . 795--813
T. Mach and
L. Reichel and
Marc Van Barel Adaptive cross approximation for
Tikhonov regularization in general form 815--830
Chang Meng and
James Nagy Numerical methods for CT reconstruction
with unknown geometry parameters . . . . 831--847
Abderrahim Messaoudi and
Hassane Sadok RMPIA: a new algorithm for computing the
Lagrange matrix interpolation
polynomials . . . . . . . . . . . . . . 849--867
Gérard Meurant Detection and correction of silent
errors in the conjugate gradient
algorithm . . . . . . . . . . . . . . . 869--891
Rafael Tristão Pepino Acceleration of sequences with
transformations involving hypergeometric
functions . . . . . . . . . . . . . . . 893--915
Yousef Saad Revisiting the (block) Jacobi subspace
rotation method for the symmetric
eigenvalue problem . . . . . . . . . . . 917--944
S. Sidki and
R. Sadaka The recursive quasi-orthogonal
polynomial algorithm . . . . . . . . . . 945--971
Richard M. Slevinsky and
Hassan Safouhi A recursive algorithm for an efficient
and accurate computation of incomplete
Bessel functions . . . . . . . . . . . . 973--983
J. A. C. Weideman and
Bengt Fornberg Fully numerical Laplace transform
methods . . . . . . . . . . . . . . . . 985--1006
Joydev Halder and
Suman Kumar Tumuluri Numerical solution to a nonlinear
McKendrick--Von Foerster equation with
diffusion . . . . . . . . . . . . . . . 1007--1039
Jingwei Sun and
Hong Zhang and
Xu Qian and
Songhe Song Up to eighth-order
maximum-principle-preserving methods for
the Allen--Cahn equation . . . . . . . . 1041--1062
Zhisong Hou and
Sanyang Liu Global algorithm for a class of
multiplicative programs using piecewise
linear approximation technique . . . . . 1063--1082
Peter Benner and
Jan Heiland and
Steffen W. R. Werner A low-rank solution method for Riccati
equations with indefinite quadratic
terms . . . . . . . . . . . . . . . . . 1083--1103
Felix G. Jones and
Gideon Simpson Iterate averaging, the Kalman filter,
and 3DVAR for linear inverse problems 1105--1125
Yoonjeong Choi and
Gwanghyun Jo and
Do Y. Kwak and
Young Ju Lee Locally conservative discontinuous
bubble scheme for Darcy flow and its
application to Hele--Shaw equation based
on structured grids . . . . . . . . . . 1127--1152
Jianfeng Liu and
Tingchun Wang and
Teng Zhang A second-order finite difference scheme
for the multi-dimensional nonlinear
time-fractional Schrödinger equation . . 1153--1182
James Baglama and
Vasilije Perovi\'c and
Jennifer Picucci Hybrid iterative refined restarted
Lanczos bidiagonalization methods . . . 1183--1212
Chun Wen and
Qian-Ying Hu and
Zhao-Li Shen An adaptively preconditioned multi-step
matrix splitting iteration for computing
PageRank . . . . . . . . . . . . . . . . 1213--1231
Qi Li and
Supei Zheng and
Liquan Mei Three decoupled, second-order accurate,
and energy stable schemes for the
conserved Allen--Cahn-type block
copolymer (BCP) model . . . . . . . . . 1233--1259
Ibrahim O. Sarumi and
Khaled M. Furati and
Kassem Mustapha and
Abdul Q. M. Khaliq Efficient high-order exponential time
differencing methods for nonlinear
fractional differential models . . . . . 1261--1288
Nicat Aliyev Subspace method for the estimation of
large-scale structured real stability
radius . . . . . . . . . . . . . . . . . 1289--1310
Shi-Ping Tang and
Yu-Mei Huang A matrix splitting preconditioning
method for solving the discretized
tempered fractional diffusion equations 1311--1333
Guash Haile Taddele and
Poom Kumam and
Pongsakorn Sunthrayuth and
Anteneh Getachew Gebrie Self-adaptive algorithms for solving
split feasibility problem with multiple
output sets . . . . . . . . . . . . . . 1335--1366
Jiyong Li and
Liqing Zhu A uniformly accurate exponential wave
integrator Fourier pseudo-spectral
method with structure-preservation for
long-time dynamics of the Dirac equation
with small potentials . . . . . . . . . 1367--1401
Ridwan Pandiya and
Salmah Salmah and
Widodo Widodo and
Irwan Endrayanto Finding global minima with an inflection
point-based filled function algorithm 1403--1424
Somayeh Fouladi and
Reza Mokhtari and
Mohammad Shafi Dahaghin Operator-splitting local discontinuous
Galerkin method for multi-dimensional
linear convection-diffusion equations 1425--1449
Todd Arbogast and
Chuning Wang Direct serendipity and mixed finite
elements on convex polygons . . . . . . 1451--1483
Fahimeh Abdollahi and
Masoud Fatemi A modified conjugate gradient method for
general convex functions . . . . . . . . 1485--1502
Longbin Zhao and
Chengming Huang The generalized quadrature method for a
class of highly oscillatory Volterra
integral equations . . . . . . . . . . . 1503--1516
T. A. J. Ouermi and
Robert M. Kirby and
Martin Berzins ENO-based high-order data-bounded and
constrained positivity-preserving
interpolation . . . . . . . . . . . . . 1517--1551
Jin Zhang and
Xiaowei Liu Supercloseness and postprocessing for
linear finite element method on
Bakhvalov-type meshes . . . . . . . . . 1553--1570
Hoa T. B. Ngo and
Mohsen Razzaghi and
Thieu N. Vo Fractional-order Chelyshkov wavelet
method for solving variable-order
fractional differential equations and an
application in variable-order fractional
relaxation system . . . . . . . . . . . 1571--1588
Daniel Acosta-Soba and
Francisco Guillén-González and
J. Rafael Rodríguez-Galván An upwind DG scheme preserving the
maximum principle for the convective
Cahn--Hilliard model . . . . . . . . . . 1589--1619
Guodong Ma and
Jiachen Jin and
Jinbao Jian and
Jianghua Yin and
Daolan Han A modified inertial three-term conjugate
gradient projection method for
constrained nonlinear equations with
applications in compressed sensing . . . 1621--1653
Nan Liu and
Yanping Chen and
Jiwei Zhang and
Yanmin Zhao Unconditionally optimal $ H^1 $-error
estimate of a fast nonuniform
L2-1$_\sigma $ scheme for nonlinear
subdiffusion equations . . . . . . . . . 1655--1677
Dongyang Shi and
Houchao Zhang Unconditional error estimates of
linearized BDF2--Galerkin FEMs for
nonlinear coupled Schrödinger-=Helmholtz
equations . . . . . . . . . . . . . . . 1679--1705
César Herrera and
Ricardo Corrales-Barquero and
Jorge Arroyo-Esquivel and
Juan G. Calvo A numerical implementation for the
high-order 2D virtual element method in
MATLAB . . . . . . . . . . . . . . . . . 1707--1721
Tongtong Hang and
Zhongguo Zhou and
Hao Pan and
Yan Wang The conservative characteristic
difference method and analysis for
solving two-sided space-fractional
advection--diffusion equations . . . . . 1723--1755
S. Tavares and
C. P. Brás and
A. L. Custódio and
V. Duarte and
P. Medeiros Parallel strategies for Direct
Multisearch . . . . . . . . . . . . . . 1757--1788
P. B. Vasconcelos and
J. E. Roman and
J. M. A. Matos Solving differential eigenproblems via
the spectral Tau method . . . . . . . . 1789--1811
Chun-Hua Zhang and
Jian-Wei Yu and
Xiang Wang A fast second-order scheme for nonlinear
Riesz space-fractional diffusion
equations . . . . . . . . . . . . . . . 1813--1836
Md. Abdullah Al Mahbub and
Li Shan and
Haibiao Zheng Uncoupling evolutionary
groundwater-surface water flows:
stabilized mixed methods in both porous
media and fluid regions . . . . . . . . 1837--1874
Menglong Xue and
Liping Pang A strong sequential optimality condition
for cardinality-constrained optimization
problems . . . . . . . . . . . . . . . . 1875--1904
Rahul Kumar Maurya and
Vineet Kumar Singh A high-order adaptive numerical
algorithm for fractional diffusion wave
equation on non-uniform meshes . . . . . 1905--1950
Zhi Zhao and
Teng-Teng Yao and
Zheng-Jian Bai and
Xiao-Qing Jin A Riemannian inexact Newton dogleg
method for constructing a symmetric
nonnegative matrix with prescribed
spectrum . . . . . . . . . . . . . . . . 1951--1981
Mahboub Baccouch A superconvergent ultra-weak local
discontinuous Galerkin method for
nonlinear fourth-order boundary-value
problems . . . . . . . . . . . . . . . . 1983--2023
Michael Bartholomew-Biggs and
Salah Beddiaf and
Bruce Christianson Global convergence of a curvilinear
search for non-convex optimization . . . 2025--2043
Laurence Grammont and
Rekha P. Kulkarni and
Paulo B. Vasconcelos Fast and accurate solvers for weakly
singular integral equations . . . . . . 2045--2070
Andrew Gibbs and
David Hewett and
Andrea Moiola Numerical quadrature for singular
integrals on fractals . . . . . . . . . 2071--2124
Dongling Wang and
Jun Zou Mittag-Leffler stability of numerical
solutions to time fractional ODEs . . . 2125--2159
Nan Jiang and
Huanhuan Yang Artificial compressibility SAV ensemble
algorithms for the incompressible
Navier--Stokes equations . . . . . . . . 2161--2188
Andrew V. Terekhov An extra-component method for evaluating
fast matrix-vector multiplication with
special functions . . . . . . . . . . . 2189--2217
Dimitri Papadimitriou and
B\'\uang Công V\~u A penalized nonlinear ADMM algorithm
applied to the multi-constrained traffic
assignment problem . . . . . . . . . . . 2219--2242
Duong Viet Thong and
Xiaoxiao Li and
Qiao-Li Dong and
Vu Tien Dung and
Nguyen Phuong Lan Strong and linear convergence of
projection-type method with an inertial
term for finding minimum-norm solutions
of pseudomonotone variational
inequalities in Hilbert spaces . . . . . 2243--2274
Rui Chen and
Yaxiang Li and
Kejia Pan and
Xiaofeng Yang Efficient second-order, linear,
decoupled and unconditionally energy
stable schemes of the
Cahn--Hilliard-Darcy equations for the
Hele--Shaw flow . . . . . . . . . . . . 2275--2306
Melanie Kircheis and
Daniel Potts and
Manfred Tasche Nonuniform fast Fourier transforms with
nonequispaced spatial and frequency data
and fast sinc transforms . . . . . . . . 2307--2339
A. Alqahtani and
T. Mach and
L. Reichel Solution of ill-posed problems with
Chebfun . . . . . . . . . . . . . . . . 2341--2364
André Pierro de Camargo A Chebyshev--Markov--Stieltjes
separation type theorem for classical
Romberg quadrature . . . . . . . . . . . 2365--2376
Zheng Ma and
Chengming Huang An hp-version fractional collocation
method for Volterra integro-differential
equations with weakly singular kernels 2377--2404
Bingjie Ji and
Jiansong Zhang and
Yue Yu and
Yun Yu A new expanded mixed finite element
method for Kirchhoff type parabolic
equation . . . . . . . . . . . . . . . . 2405--2432
Min Li and
Xinjie Dai and
Chengming Huang Fast Euler--Maruyama method for weakly
singular stochastic Volterra integral
equations with variable exponent . . . . 2433--2455
Subhash Chandra and
Syed Abbas and
Saurabh Verma Bernstein super fractal interpolation
function for countable data systems . . 2457--2481
Marco Caliari and
Fabio Cassini and
Franco Zivcovich A $ \mu $-mode BLAS approach for
multidimensional tensor-structured
problems . . . . . . . . . . . . . . . . 2483--2508
Soumitra Dey A hybrid inertial and contraction
proximal point algorithm for monotone
variational inclusions . . . . . . . . . 1--25
Felix Kastner and
Andreas Rößler An analysis of approximation algorithms
for iterated stochastic integrals and a
Julia and Matlab simulation toolbox . . 27--66
Xinhui Wang and
Guangzhi Du Local and parallel stabilized finite
element methods based on two-grid
discretizations for the Stokes equations 67--83
Zhong-Zhi Bai and
Kang-Ya Lu An economic implementation of the
optimal rotated block-diagonal
preconditioning method . . . . . . . . . 85--101
Francisco J. Aragón-Artacho and
Radu I. Bot and
David Torregrosa-Belén A primal-dual splitting algorithm for
composite monotone inclusions with
minimal lifting . . . . . . . . . . . . 103--130
M. A. Hernández-Verón and
Nisha Yadav and
Eulalia Mart\'ìnez and
Sukhjit Singh Kurchatov-type methods for
non-differentiable Hammerstein-type
integral equations . . . . . . . . . . . 131--155
William McLean and
Kassem Mustapha Error profile for discontinuous Galerkin
time stepping of parabolic PDEs . . . . 157--177
Biao Zhang and
Yin Yang A new linearized maximum principle
preserving and energy stability scheme
for the space fractional Allen--Cahn
equation . . . . . . . . . . . . . . . . 179--202
Harmandeep Singh and
Janak Raj Sharma and
Sunil Kumar A simple yet efficient two-step
fifth-order weighted-Newton method for
nonlinear models . . . . . . . . . . . . 203--225
Zhen-Chen Guo and
Xin Liang The intrinsic Toeplitz structure and its
applications in algebraic Riccati
equations . . . . . . . . . . . . . . . 227--267
Zhongbing Xie and
Gang Cai and
Qiao-Li Dong Strong convergence of Bregman projection
method for solving variational
inequality problems in reflexive Banach
spaces . . . . . . . . . . . . . . . . . 269--294
Itsuki Horiuchi and
Kensuke Aihara and
Toshio Suzuki and
Emiko Ishiwata Global GPBiCGstab($L$) method for
solving linear matrix equations . . . . 295--319
Aswin V. S. and
Riyasudheen T. K. and
Ashish Awasthi Differential quadrature parallel
algorithms for solving systems of
convection--diffusion and reaction
models . . . . . . . . . . . . . . . . . 321--346
Natasa Kreji\'c and
Natasa Krklec Jerinki\'c and
Tijana Ostoji\'c Spectral projected subgradient method
for nonsmooth convex optimization
problems . . . . . . . . . . . . . . . . 347--365
Xiaowei Liu and
Jin Zhang Supercloseness of weak Galerkin method
on Bakhvalov-type mesh for a singularly
perturbed problem in 1D . . . . . . . . 367--395
Kadri Harouna Souleymane and
Ka\"\is Ammari Boundary value problems initial
condition identification by a
wavelet-based Galerkin method . . . . . 397--414
Songnian He and
Qiao-Li Dong and
Xiaoxiao Li The randomized Kaczmarz algorithm with
the probability distribution depending
on the angle . . . . . . . . . . . . . . 415--440
Thomas G. Anderson and
Marc Bonnet and
Shravan Veerapaneni Quantifying mixing in arbitrary fluid
domains: a Padé approximation approach 441--458
Giulia Di Nunno and
Yuliya Mishura and
Anton Yurchenko-Tytarenko Drift-implicit Euler scheme for
sandwiched processes driven by Hölder
noises . . . . . . . . . . . . . . . . . 459--491
Xiang Wu and
Kanjian Zhang A limited-memory BFGS-based differential
evolution algorithm for optimal control
of nonlinear systems with mixed control
variables and probability constraints 493--542
Zhengguang Liu and
Nan Zheng and
Zhaojie Zhou A highly efficient and accurate new SAV
approach for the modified phase field
crystal model . . . . . . . . . . . . . 543--562
Xiaochen Yang and
Mengna Li and
Zhanwen Yang and
Chiping Zhang Numerical analysis of a linearly
backward Euler method with truncated
Wiener process for a stochastic SIS
model . . . . . . . . . . . . . . . . . 563--579
Jörg Liesen and
Mohamed M. S. Nasser and
Olivier S\`ete Computing the logarithmic capacity of
compact sets having (infinitely) many
components with the charge simulation
method . . . . . . . . . . . . . . . . . 581--614
Ian C. T. May and
Ronald D. Haynes and
Steven J. Ruuth A closest point method library for PDEs
on surfaces with parallel domain
decomposition solvers and
preconditioners . . . . . . . . . . . . 615--637
Narin Petrot and
Mootta Prangprakhon and
Porntip Promsinchai and
Nimit Nimana A dynamic distributed conjugate gradient
method for variational inequality
problem over the common fixed-point
constraints . . . . . . . . . . . . . . 639--668
Henrik Eisenmann and
Felix Krahmer and
Max Pfeffer and
André Uschmajew Riemannian thresholding methods for
row-sparse and low-rank matrix recovery 669--693
Xu Li and
Yi-Xin Li and
Yan Dou Shift-splitting fixed point iteration
method for solving generalized absolute
value equations . . . . . . . . . . . . 695--710
Hua Zheng and
Yongxiong Zhang and
Xiaoping Lu and
Seakweng Vong Modulus-based synchronous multisplitting
iteration methods for large sparse
vertical linear complementarity problems 711--729
Kathryn Lund Adaptively restarted block Krylov
subspace methods with
low-synchronization skeletons . . . . . 731--764
Yongchao Yu and
Jigen Peng DCACO: an algorithm for designing
incoherent redundant matrices . . . . . 785--813
Xinhui Wang and
Guangzhi Du and
Yi Li A modified local and parallel finite
element method for the coupled
Stokes--Darcy model with the
Beavers--Joseph interface condition . . 815--831
Jean Kieffer Certified Newton schemes for the
evaluation of low-genus theta functions 833--862
Zhichao Fang and
Jie Zhao and
Hong Li and
Yang Liu A fast time two-mesh finite volume
element algorithm for the nonlinear
time-fractional coupled diffusion model 863--898
Ji-Teng Jia and
Rong Xie and
Xiao-Yan Xu and
Shuo Ni and
Jie Wang A bidiagonalization-based numerical
algorithm for computing the inverses of
$ (p, q)$-tridiagonal matrices . . . . . 899--917
Si-Wei Liao and
Guo-Feng Zhang and
Zhao-Zheng Liang A preconditioned general modulus-based
matrix splitting iteration method for
solving horizontal linear
complementarity problems . . . . . . . . 919--947
Xiaoliang Wang and
Gonglin Yuan and
Liping Pang A class of new three-term descent
conjugate gradient algorithms for
large-scale unconstrained optimization
and applications to image restoration
problems . . . . . . . . . . . . . . . . 949--970
Yang Shi and
Chenling Ding and
Shuai Li and
Bin Li and
Xiaobing Sun Discrete generalized-Sylvester matrix
equation solved by RNN with a novel
direct discretization numerical method 971--992
Maohua Ran and
Zhouping Feng A stable second-order difference scheme
for the generalized time-fractional
non-Fickian delay reaction-diffusion
equations . . . . . . . . . . . . . . . 993--1012
Hoda F. Ahmed and
W. A. Hashem Improved Gegenbauer spectral tau
algorithms for distributed-order
time-fractional telegraph models in
multi-dimensions . . . . . . . . . . . . 1013--1043
Dingwen Deng and
Jingliang Chen and
Qihong Wang Energy-preserving Du Fort--Frankel
difference schemes for solving
sine-Gordon equation and coupled
sine-Gordon equations . . . . . . . . . 1045--1081
Leijie Qiao and
Wenlin Qiu and
Da Xu Crank--Nicolson ADI finite
difference/compact difference schemes
for the 3D tempered integrodifferential
equation associated with Brownian motion 1083--1104
Duong Viet Thong and
Simeon Reich and
Yekini Shehu and
Olaniyi S. Iyiola Novel projection methods for solving
variational inequality problems and
applications . . . . . . . . . . . . . . 1105--1135
Christian Reinsch and
Mathias Richter Singular value decomposition in extended
double precision arithmetic . . . . . . 1137--1155
Pinaki Prasad Kar and
Priyabrat Gochhayat Interlacing and bounds of zeros of
quasi-orthogonal little $q$-Jacobi
polynomials . . . . . . . . . . . . . . 1157--1170
Giro Candelario and
Alicia Cordero and
Juan R. Torregrosa and
Mar\'ìa P. Vassileva Generalized conformable fractional
Newton-type method for solving nonlinear
systems . . . . . . . . . . . . . . . . 1171--1208
Zhi Zhao and
Qin Zeng and
Yu-Nong Xu and
Ya-Guan Qian and
Teng-Teng Yao A projection algorithm for
pseudomonotone vector fields with convex
constraints on Hadamard manifolds . . . 1209--1223
Sanda Micula Numerical solution of two-dimensional
Hammerstein integral equations via
quadratic spline collocation . . . . . . 1225--1241
Yining Yang and
Ziyu Sun and
Yang Liu and
Hong Li Structure-preserving BDF2 FE method for
the coupled Schrödinger--Boussinesq
equations . . . . . . . . . . . . . . . 1243--1267
Vladimir R. Kosti\'c and
Saverio Salzo The method of randomized Bregman
projections for stochastic feasibility
problems . . . . . . . . . . . . . . . . 1269--1307
Zhigang Jia and
Xuan Liu and
Jingfei Zhu and
Meixiang Zhao Harmonic multi-symplectic Lanczos
algorithm for quaternion singular
triplets . . . . . . . . . . . . . . . . 1309--1335
Kaiwen Shi and
Xinlong Feng and
Haiyan Su Optimal error estimate of the penalty
method for the 2D\slash 3D
time-dependent MHD equations . . . . . . 1337--1371
Shen Peiping and
Wang Yafei and
Wu Dianxiao A spatial branch and bound algorithm for
solving the sum of linear ratios
optimization problem . . . . . . . . . . 1373--1400
Maksymilian Bujok and
Alicja Smoktunowicz and
Grzegorz Borowik On computing the symplectic $ L L^T $
factorization . . . . . . . . . . . . . 1401--1416
Lionel Tondji and
Dirk A. Lorenz Faster randomized block sparse Kaczmarz
by averaging . . . . . . . . . . . . . . 1417--1451
B. Campos and
J. Canela and
P. Vindel Dynamics of Newton-like root finding
methods . . . . . . . . . . . . . . . . 1453--1480
Yonggang Pei and
Shaofang Song and
Detong Zhu A filter sequential adaptive cubic
regularization algorithm for nonlinear
constrained optimization . . . . . . . . 1481--1507
Radek Fu\vc\'ìk and
Pavel Eichler and
Jakub Klinkovský and
Robert Straka and
Tomá\vs Oberhuber Lattice Boltzmann Method Analysis Tool
(LBMAT) . . . . . . . . . . . . . . . . 1509--1525
Zohre Aminifard and
Saman Babaie-Kafaki and
Fatemeh Dargahi Nonmonotone Quasi-Newton-based conjugate
gradient methods with application to
signal processing . . . . . . . . . . . 1527--1541
M. J. Senosiain and
A. Tocino A survey of mean-square destabilization
of multidimensional linear stochastic
differential systems with non-normal
drift . . . . . . . . . . . . . . . . . 1543--1559
Antonio Fazzi Structured low-rank approximation for
nonlinear matrices . . . . . . . . . . . 1561--1580
Yue Wang and
Youxing Zhao and
Hu Chen Discrete comparison principle of a
finite difference method for the
multi-term time fractional diffusion
equation . . . . . . . . . . . . . . . . 1581--1593
Jiangli Liang and
Shuhuang Xiang A kernel-independent uniform fast
multipole method based on barycentric
rational interpolation . . . . . . . . . 1595--1611
Pierluigi Amodio and
Luigi Brugnano and
Felice Iavernaro (Spectral) Chebyshev collocation methods
for solving differential equations . . . 1613--1638
Yigui Ou and
Lin Li A unified convergence analysis of the
derivative-free projection-based method
for constrained nonlinear monotone
equations . . . . . . . . . . . . . . . 1639--1660
Shilin Mi and
Guangzhi Du and
Yao Rong Local and parallel finite element
algorithms for magnetohydrodynamic flows
with low electromagnetic Reynolds number 1661--1683
Zijun Zheng and
Gang Pang A fast accurate artificial boundary
condition for the Euler--Bernoulli beam 1685--1718
Zhengjie Sun and
Yuyan Gao High order multiquadric trigonometric
quasi-interpolation method for solving
time-dependent partial differential
equations . . . . . . . . . . . . . . . 1719--1739
Irina Georgieva and
Clemens Hofreither A Newton method for best uniform
rational approximation . . . . . . . . . 1741--1758
Davoud Mirzaei and
Navid Soodbakhsh A fault detection method based on
partition of unity and kernel
approximation . . . . . . . . . . . . . 1759--1794
Xindong Li and
Mingyang Du and
Wenwen Xu A multipoint flux mixed finite element
method with mass-conservative
characteristic finite element method for
incompressible miscible displacement
problem . . . . . . . . . . . . . . . . 1795--1810
V. Agrawal and
T. Som and
S. Verma A note on stability and fractal
dimension of bivariate $ \alpha
$-fractal functions . . . . . . . . . . 1811--1833
Vando A. Adona and
Max L. N. Gonçalves An inexact version of the symmetric
proximal ADMM for solving separable
convex optimization . . . . . . . . . . 1--28
Van-Thanh Nguyen and
Laura Grigori Interpretation of parareal as a
two-level additive Schwarz in time
preconditioner and its acceleration with
GMRES . . . . . . . . . . . . . . . . . 29--72
Fengxia Zhang and
Ying Li and
Jianli Zhao A real unconstrained equivalent problem
of the quaternion equality constrained
weighted least squares problem . . . . . 73--91
Ziyi Lei and
Siqing Gan and
Jing Liu First order strong approximation of
Ait--Sahalia-type interest rate model
with Poisson jumps . . . . . . . . . . . 93--130
Chunming Tang and
Wancheng Tan and
Shajie Xing and
Haiyan Zheng A class of spectral conjugate gradient
methods for Riemannian optimization . . 131--147
Luca Gemignani and
Beatrice Meini Relaxed fixed point iterations for
matrix equations arising in Markov chain
modeling . . . . . . . . . . . . . . . . 149--173
Julius Fergy T. Rabago Numerical solution to the exterior
Bernoulli problem using the
Dirichlet--Robin energy gap cost
functional approach in two and three
dimensions . . . . . . . . . . . . . . . 175--227
Sandip Maji and
Srinivasan Natesan Analytical and numerical solution
techniques for a class of
time-fractional integro-partial
differential equations . . . . . . . . . 229--256
Nicola Guglielmi and
Ernst Hairer Sliding modes of high codimension in
piecewise-smooth dynamical systems . . . 257--273
Farshid Mirzaee and
Shiva Naserifar and
Erfan Solhi Accurate and stable numerical method
based on the Floater--Hormann
interpolation for stochastic
Itô--Volterra integral equations . . . . 275--292
Ni Miao and
Danxia Wang and
Haifeng Zhang and
Jing Liu A second-order BDF convex splitting
numerical scheme for the
Ericksen--Leslie equation . . . . . . . 293--314
Eugenio Aulisa and
Jonathon Loftin Exact subdomain and embedded interface
polynomial integration in finite
elements with planar cuts . . . . . . . 315--350
Bao-Feng Feng and
Han-Han Sheng and
Guo-Fu Yu Integrable semi-discretizations and
self-adaptive moving mesh method for a
generalized sine-Gordon equation . . . . 351--370
Yongyong Cai and
Xuanxuan Zhou Uniformly accurate nested Picard
iterative integrators for the
Klein--Gordon--Schrödinger equation in
the nonrelativistic regime . . . . . . . 371--396
Maryam Khoshsimaye-Bargard and
Ali Ashrafi A descent spectral Dai--Liao method
based on the quasi-Newton aspects . . . 397--411
Yongshuai Wang and
Yi Qin Second-order partitioned method and
adaptive time step algorithms for the
nonstationary Stokes--Darcy equations 413--457
Xiaowei Liu and
Jin Zhang Uniform convergence of optimal order for
a finite element method on a
Bakhvalov-type mesh for a singularly
perturbed convection-diffusion equation
with parabolic layers . . . . . . . . . 459--478
Fan Jiang and
Xingju Cai and
Deren Han Inexact asymmetric
forward--backward-adjoint splitting
algorithms for saddle point problems . . 479--509
Qian Zhang and
Zhiyue Zhang Nitsche's method for elliptic Dirichlet
boundary control problems on curved
domains . . . . . . . . . . . . . . . . 511--545
Petr Knobloch An algebraically stabilized method for
convection--diffusion-reaction problems
with optimal experimental convergence
rates on general meshes . . . . . . . . 547--580
Shaobo Zhou and
Hai Jin The truncated Euler--Maruyama method for
highly nonlinear stochastic differential
equations with multiple time delays . . 581--617
Xiying Wan and
Guanghui Cheng Weighted hybrid truncated norm
regularization method for low-rank
matrix completion . . . . . . . . . . . 619--641
Tingfu Yao and
Changlun Ye and
Xianbing Luo and
Shuwen Xiang An ensemble scheme for the numerical
solution of a random transient heat
equation with uncertain inputs . . . . . 643--668
Amparo Gil and
Diego Ruiz-Antol\'ìn and
Javier Segura and
Nico M. Temme Computation of the confluent
hypergeometric function $ U(a, b, x) $
and its derivative for positive
arguments . . . . . . . . . . . . . . . 669--679
Eric Ngondiep A high-order numerical scheme for
multidimensional
convection--diffusion-reaction equation
with time-fractional derivative . . . . 681--700
Voichi\cta Maxim and
Yuemeng Feng and
Hussein Banjak and
Elie Bretin Tomographic reconstruction from Poisson
distributed data: a fast and convergent
EM--TV dual approach . . . . . . . . . . 701--731
Jiming Yang and
Jing Zhou A two-grid combined mixed finite element
and discontinuous Galerkin method for a
compressible miscible displacement
problem . . . . . . . . . . . . . . . . 733--763
N. Hoseini Monjezi and
S. Nobakhtian New proximal bundle algorithm based on
the gradient sampling method for
nonsmooth nonconvex optimization with
exact and inexact information . . . . . 765--787
Shuguang Li and
Oleg V. Kravchenko and
Kai Qu On the $ L^\infty $ convergence of a
novel fourth-order compact and
conservative difference scheme for the
generalized Rosenau--KdV--RLW equation 789--816
Manuj Verma and
Amit Priyadarshi Dimensions of new fractal functions and
associated measures . . . . . . . . . . 817--846
Gérard Meurant and
Petr Tichý The behavior of the Gauss--Radau upper
bound of the error norm in CG . . . . . 847--876
Zhisong Hou and
Sanyang Liu An accelerating outer space algorithm
for globally solving generalized linear
multiplicative problems . . . . . . . . 877--904
Chahinaz Chenouf and
Mohamed Rahal On Hölder global optimization method
using piecewise affine bounding
functions . . . . . . . . . . . . . . . 905--935
Saumya Bajpai and
Deepjyoti Goswami and
Kallol Ray A priori error estimates of a
discontinuous Galerkin method for the
Navier--Stokes equations . . . . . . . . 937--1002
Nick Dewaele and
Paul Breiding and
Nick Vannieuwenhoven The condition number of many tensor
decompositions is invariant under Tucker
compression . . . . . . . . . . . . . . 1003--1029
Yongle Zhang and
Limei Feng and
Yiran He A new low-cost feasible projection
algorithm for pseudomonotone variational
inequalities . . . . . . . . . . . . . . 1031--1054
Pengjie Liu and
Hu Shao and
Zihang Yuan and
Xiaoyu Wu and
Tianlei Zheng A family of three-term conjugate
gradient projection methods with a
restart procedure and their
relaxed-inertial extensions for the
constrained nonlinear pseudo-monotone
equations with applications . . . . . . 1055--1083
Shiru Li and
Yong Xia and
Zi Xu Simultaneous perturbation stochastic
approximation: towards one-measurement
per iteration . . . . . . . . . . . . . 1085--1101
C. A. Arias and
C. Gómez Inexact free derivative quasi-Newton
method for large-scale nonlinear system
of equations . . . . . . . . . . . . . . 1103--1123
Aliyu Muhammed Awwal and
Thongchai Botmart A new sufficiently descent algorithm for
pseudomonotone nonlinear operator
equations and signal reconstruction . . 1125--1158
Qiaohua Liu and
Qian Zhang and
Xiangjian Xu Accuracy and stability of quaternion
Gaussian elimination . . . . . . . . . . 1159--1183
Su Lei and
Yanyan Wang and
Rui Du A finite difference scheme for the
two-dimensional Gray--Scott equation
with fractional Laplacian . . . . . . . 1185--1215
Simeon Reich and
Rafa\l Zalas Polynomial estimates for the method of
cyclic projections in Hilbert spaces . . 1217--1242
Ritu Nigam and
Nilofar Nahid and
Samiran Chakraborty and
Gnaneshwar Nelakanti Superconvergence results for non-linear
Hammerstein integral equations on
unbounded domain . . . . . . . . . . . . 1243--1279
M. H. Annaby and
I. A. Al-Abdi and
A. F. Ghaleb and
M. S. Abou-Dina Hermite interpolation theorems for
band-limited functions of the linear
canonical transforms with equidistant
samples . . . . . . . . . . . . . . . . 1281--1308
Chengyu Liu and
Guanghui Hu An MP--DWR method for $h$-adaptive
finite element methods . . . . . . . . . 1309--1329
Dhivya Prabhu K and
Sanjeev Singh and
Antony Vijesh V A third-order iterative algorithm for
inversion of cumulative central beta
distribution . . . . . . . . . . . . . . 1331--1353
Xiaolong Zhang Comparisons of best approximations with
Chebyshev expansions for functions with
logarithmic endpoint singularities . . . 1355--1379
Xing Huang and
Yongqiang Suo and
Chenggui Yuan Estimate of transition kernel for
Euler--Maruyama scheme for SDEs driven
by $ \alpha $-stable noise and
applications . . . . . . . . . . . . . . 1381--1402
Yun Zeng and
Deren Han and
Yansheng Su and
Jiaxin Xie Randomized Kaczmarz method with adaptive
stepsizes for inconsistent linear
systems . . . . . . . . . . . . . . . . 1403--1420
Maryam Shams Solary From matrix polynomial to determinant of
block Toeplitz--Hessenberg matrix . . . 1421--1434
Sahu D. R. and
Babu Feeroz and
Sharma Shikher A new self-adaptive iterative method for
variational inclusion problems on
Hadamard manifolds with applications . . 1435--1460
Hatem Zayeni and
Amel Ben Abda and
Franck Delvare and
Faten Khayat Fading regularization MFS algorithm for
the Cauchy problem associated with the
two-dimensional Stokes equations . . . . 1461--1488
Qing Li and
Huanzhen Chen and
Hong Wang A proper orthogonal
decomposition-compact difference
algorithm for plate vibration models . . 1489--1518
Jaspreet Kaur and
Srinivasan Natesan A novel numerical scheme for
time-fractional Black--Scholes PDE
governing European options in
mathematical finance . . . . . . . . . . 1519--1549
Muhammad Abdullahi and
Auwal Bala Abubakar and
Yuming Feng and
Jinkui Liu Comment on: ``A derivative-free
iterative method for nonlinear monotone
equations with convex constraints'' . . 1551--1560
Bi-Yun Zhu and
Ai-Guo Xiao and
Xue-Yang Li An efficient numerical method on
modified space-time sparse grid for
time-fractional diffusion equation with
nonsmooth data . . . . . . . . . . . . . 1561--1596
Rebekka S. Beddig and
Jörn Behrens and
Sabine Le Borne A low-rank update for relaxed Schur
complement preconditioners in fluid flow
problems . . . . . . . . . . . . . . . . 1597--1618
Chengxin Shi and
Hao Cheng and
Wenping Fan An iterative generalized quasi-boundary
value regularization method for the
backward problem of time fractional
diffusion-wave equation in a cylinder 1619--1651
Daniel Kressner and
Yuxin Ma and
Meiyue Shao A mixed precision LOBPCG algorithm . . . 1653--1671
Bart\lomiej Jacek Kubica Algorithmic differentiation and
hull-consistency enforcing using C++
template meta-programming . . . . . . . 1673--1704
Jinhong Jia and
Hong Wang and
Xiangcheng Zheng A fast algorithm for time-fractional
diffusion equation with
space-time-dependent variable order . . 1705--1730
Wanxiang Liu and
Yanping Chen and
Qiling Gu and
Yunqing Huang Virtual element method for nonlinear
Sobolev equation on polygonal meshes . . 1731--1761
Tan Nhat Pham and
Minh N. Dao and
Rakibuzzaman Shah and
Nargiz Sultanova and
Guoyin Li and
Syed Islam A proximal subgradient algorithm with
extrapolation for structured nonconvex
nonsmooth problems . . . . . . . . . . . 1763--1795
Kay Barshad and
Aviv Gibali and
Simeon Reich The generalized modular string averaging
procedure and its applications to
iterative methods for solving various
nonlinear operator theory problems . . . 1797--1818
Sangho Kum and
Chong Li and
Jinhua Wang and
Jen-Chih Yao and
Linglingzhi Zhu Riemannian linearized proximal
algorithms for nonnegative inverse
eigenvalue problem . . . . . . . . . . . 1819--1848
Jiarui Du and
Yuanpeng Zhu and
Xuli Han Fast algorithms for interpolation and
smoothing for a general class of fourth
order exponential splines . . . . . . . 1849--1881
Guangzhi Du and
Shilin Mi and
Xinhui Wang Local and parallel finite element
methods based on two-grid
discretizations for the unsteady mixed
Stokes--Darcy model with the
Beavers--Joseph interface condition . . 1883--1918
Wumei Sun and
Hongwei Liu and
Zexian Liu A regularized limited memory subspace
minimization conjugate gradient method
for unconstrained optimization . . . . . 1919--1948
Hiroshi Sugiura and
Takemitsu Hasegawa Two formulae with nodes related to zeros
of Bessel functions for semi-infinite
integrals: extending Gauss--Jacobi-type
rules . . . . . . . . . . . . . . . . . 1949--1981
Zhaojie Zhou and
Jie Liu and
Yanping Chen and
Qiming Wang Finite element approximation of optimal
control problem with integral fractional
Laplacian and state constraint . . . . . 1983--2004
Hyunjun Kim and
Minho Kim Analytic evaluation of the FCC
Voronoi-splines . . . . . . . . . . . . 2005--2030
Xingyu An and
Qingxia Wang and
Fawang Liu and
Vo V. Anh and
Ian W. Turner Parameter estimation for time-fractional
Black--Scholes equation with S&P 500
index option . . . . . . . . . . . . . . 1--30
Annie Cuyt and
Wen-shin Lee Multiscale matrix pencils for separable
reconstruction problems . . . . . . . . 31--72
Hrushikesh Jena and
Mahendra Kumar Jena An introduction to a hybrid
trigonometric box spline surface
producing subdivision scheme . . . . . . 73--116
Xiaolin Zhou and
Gang Cai and
Bing Tan and
Qiao-Li Dong A modified generalized version of
projected reflected gradient method in
Hilbert spaces . . . . . . . . . . . . . 117--147
Conte Dajana and
Cuesta Eduardo and
Valentino Carmine Non-stationary wave relaxation methods
for general linear systems of Volterra
equations: convergence and parallel GPU
implementation . . . . . . . . . . . . . 149--180
Fatih Idiz and
Gamze Tanoglu and
Nasser Aghazadeh A numerical method based on Legendre
wavelet and quasilinearization technique
for fractional Lane--Emden type
equations . . . . . . . . . . . . . . . 181--206
Ting Wang and
Hongwei Liu A class of modified accelerated proximal
gradient methods for nonsmooth and
nonconvex minimization problems . . . . 207--241
Kamran Kazmi A fast and high-order IMEX method for
non-linear time--space-fractional
reaction--diffusion equations . . . . . 243--266
Dong Zhang and
Tongsong Jiang and
Chuan Jiang and
Gang Wang A complex structure-preserving algorithm
for computing the singular value
decomposition of a quaternion matrix and
its applications . . . . . . . . . . . . 267--283
Juan C. García-Ardila and
Misael E. Marriaga Approximation by polynomials in Sobolev
spaces associated with classical moment
functionals . . . . . . . . . . . . . . 285--318
R. Wang and
L. Qiao and
M. A. Zaky and
A. S. Hendy A second-order finite difference scheme
for nonlinear tempered fractional
integrodifferential equations in three
dimensions . . . . . . . . . . . . . . . 319--349
Sandy Bitterlich and
Sorin-Mihai Grad Stochastic incremental mirror descent
algorithms with Nesterov smoothing . . . 351--382
Hideaki Iiduka Theoretical analysis of Adam using
hyperparameters close to one without
Lipschitz smoothness . . . . . . . . . . 383--421
Yibo Wang and
Wanrong Cao Strong 1.5 order scheme for fractional
Langevin equation based on spectral
approximation of white noise . . . . . . 423--450
Silvia Noschese and
Lothar Reichel Network analysis with the aid of the
path length matrix . . . . . . . . . . . 451--470
Antoine Bernigaud and
Serge Gratton and
Ehouarn Simon A non-linear conjugate gradient in dual
space for $ L_p $-norm regularized
non-linear least squares with
application in data assimilation . . . . 471--497
Stefano Berrone and
Denise Grappein and
Stefano Scial\`o A PDE-constrained optimization method
for 3D--1D coupled problems with
discontinuous solutions . . . . . . . . 499--526
Sivalingam S. M and
Pushpendra Kumar and
V. Govindaraj A novel method to approximate fractional
differential equations based on the
theory of functional connections . . . . 527--549
Hevert Vivas and
Rosana Pérez and
Carlos A. Arias A nonsmooth Newton method for solving
the generalized complementarity problem 551--574
Min Sun and
Yiju Wang A relaxed proximal ADMM method for block
separable convex programming . . . . . . 575--603
Mihai Bucataru and
Liviu Marin Accelerated iterative algorithms for the
Cauchy problem in steady-state
anisotropic heat conduction . . . . . . 605--636
Yuxuan Wang and
Tongke Wang and
Huan Lian The series expansions and blow-up time
estimation for the solutions of
convolution Volterra--Hammerstein
integral equations . . . . . . . . . . . 637--663
Abdeslem Hafid Bentbib and
Khalide Jbilou and
Ridwane Tahiri $N$-mode minimal tensor extrapolation
methods . . . . . . . . . . . . . . . . 665--691
Yongtao Zhou and
Cui Li and
Martin Stynes A fast second-order predictor-corrector
method for a nonlinear time-fractional
Benjamin--Bona--Mahony--Burgers equation 693--720
Yang Ai-Li and
Zhu Jun-Li and
Wu Yu-Jiang Multi-parameter dimensional split
preconditioner for three-by-three block
system of linear equations . . . . . . . 721--745
E. Mainar and
J. M. Peña and
B. Rubio High relative accuracy through Newton
bases . . . . . . . . . . . . . . . . . 747--772
Bing Tan and
Xiaolong Qin and
Xianfu Wang Alternated inertial algorithms for split
feasibility problems . . . . . . . . . . 773--812
Timothy Duff and
Anton Leykin and
Jose Israel Rodriguez $u$-generation: solving systems of
polynomials equation-by-equation . . . . 813--838
Bo Zhang and
Yuelin Gao and
Xia Liu and
Xiaoli Huang Interval division and linearization
algorithm for minimax linear fractional
program . . . . . . . . . . . . . . . . 839--858
Qiu-Ya Wang and
Zi-Hang She and
Cheng-Xue Lao and
Fu-Rong Lin Fractional centered difference schemes
and banded preconditioners for nonlinear
Riesz space variable-order fractional
diffusion equations . . . . . . . . . . 859--895
Xin Zhang and
Jingya Chang and
Zhili Ge and
Zhou Sheng A family of gradient methods using
Householder transformation with
application to hypergraph partitioning 897--927
Manfred R. Trummer The Szeg\Ho kernel and oblique
projections: conformal mapping of
non-smooth regions . . . . . . . . . . . 929--942
Alexandru Mihai Bica On the maximal order of convergence of
Green's function method for solving
two-point boundary value problems with
deviating argument . . . . . . . . . . . 943--978
Yuki Uchino and
Takeshi Terao and
Katsuhisa Ozaki Acceleration of iterative refinement for
singular value decomposition . . . . . . 979--1009
Simeon Reich and
Truong Minh Tuyen Two new self-adaptive algorithms for
solving the split feasibility problem in
Hilbert space . . . . . . . . . . . . . 1011--1032
Nguyen Van Duc and
Thi-Phong Nguyen A regularization method for Caputo
fractional derivatives in the Banach
space $ L^\infty [0, T] $ . . . . . . . 1033--1053
Yong Chen Compact IMEX scheme for a moving
boundary PIDE system of the
regime-switching jump-diffusion Asian
option pricing . . . . . . . . . . . . . 1055--1077
Nicola Mastronardi and
Marc Van Barel and
Raf Vandebril and
Paul Van Dooren Rational $ Q Z $ steps with perfect
shifts . . . . . . . . . . . . . . . . . 1079--1102
Harmandeep Singh and
Janak Raj Sharma A fractional Traub--Steffensen-type
method for solving nonlinear equations 1103--1126
Deepti Kaur and
R. K. Mohanty High-order half-step compact numerical
approximation for fourth-order parabolic
PDEs . . . . . . . . . . . . . . . . . . 1127--1153
Xiangyun Meng and
Martin Stynes Balanced and energy norm error bounds
for a spatial FEM with Crank--Nicolson
and BDF2 time discretisation applied to
a singularly perturbed
reaction-diffusion problem . . . . . . . 1155--1176
Emil Catinas The strict superlinear order can be
faster than the infinite order . . . . . 1177--1186
Emil Catinas Correction to: The strict superlinear
order can be faster than the infinite
order . . . . . . . . . . . . . . . . . 1187--1187
Junpeng Song and
Hongxing Rui Reduced-order finite element
approximation based on POD for the
parabolic optimal control problem . . . 1189--1211
Hong Zhang and
Xu Qian and
Songhe Song Third-order accurate, large
time-stepping and
maximum-principle-preserving schemes for
the Allen--Cahn equation . . . . . . . . 1213--1250
Sijia Xia and
Duo Qiu and
Xiongjun Zhang Tensor factorization via transformed
tensor--tensor product for image
alignment . . . . . . . . . . . . . . . 1251--1289
Mofreh R. Zaghloul Efficient multiple-precision computation
of the scaled complementary error
function and the Dawson integral . . . . 1291--1308
Wenxv Ding and
Zhihong Liu and
Ying Li and
Anli Wei and
Mingcui Zhang New structure-preserving algorithms of
Gauss--Seidel and successive
over-relaxation iteration methods for
quaternion linear systems . . . . . . . 1309--1323
Dandan Li and
Songhua Wang and
Yong Li and
Jiaqi Wu A convergence analysis of hybrid
gradient projection algorithm for
constrained nonlinear equations with
applications in compressed sensing . . . 1325--1345
Miodrag M. Spalevi\'c Modified anti-Gaussian quadrature
formulae of Chebyshev type . . . . . . . 1347--1357
Chen Greif and
Sarah Nataj and
Manfred Trummer Incomplete double-cone factorizations of
centrosymmetric matrices arising in
spectral methods . . . . . . . . . . . . 1359--1386
Tao Sun and
Hai-Wei Sun A stiff-cut splitting technique for
stiff semi-linear systems of
differential equations . . . . . . . . . 1387--1412
Komal Taneja and
Komal Deswal and
Devendra Kumar and
Dumitru Baleanu Novel Numerical Approach for Time
Fractional Equations with Nonlocal
Condition . . . . . . . . . . . . . . . 1413--1433
Teresa Laudadio and
Nicola Mastronardi and
Paul Van Dooren On computing modified moments for
half-range Hermite weights . . . . . . . 1435--1457
Muhammad Abdullahi and
Auwal Bala Abubakar and
Kanikar Muangchoo Modified three-term derivative-free
projection method for solving nonlinear
monotone equations with application . . 1459--1474
Hongfu Yang and
Jianhua Huang Strong convergence and extinction of
positivity preserving explicit scheme
for the stochastic SIS epidemic model 1475--1502
Matthias Grajewski and
Andreas Kleefeld Detecting and approximating decision
boundaries in low-dimensional spaces . . 1503--1537
Qiqi Tran and
Jinjie Liu Modified iterated Crank--Nicolson method
with improved accuracy for advection
equations . . . . . . . . . . . . . . . 1539--1560
Sunil Kumar and
Shashikant Kumar and
Sumit A priori and a posteriori error
estimation for singularly perturbed
delay integro-differential equations . . 1561--1582
Hailiang Liu and
Xuping Tian SGEM: stochastic gradient with energy
and momentum . . . . . . . . . . . . . . 1583--1610
Andrzej Cegielski Strict pseudocontractions and
demicontractions, their properties, and
applications . . . . . . . . . . . . . . 1611--1642
Shanshan Peng and
Meng Li and
Yanmin Zhao and
Fawang Liu and
Fangfang Cao Unconditionally convergent and
superconvergent finite element method
for nonlinear time-fractional parabolic
equations with distributed delay . . . . 1643--1714
Sania Qureshi and
Ioannis K. Argyros and
Amanullah Soomro and
Krzysztof Gdawiec and
Asif Ali Shaikh and
Evren Hincal A new optimal root-finding iterative
algorithm: local and semilocal analysis
with polynomiography . . . . . . . . . . 1715--1745
Gonglin Yuan and
Xiong Zhao and
Kejun Liu and
Xiaoxuan Chen An adaptive projection BFGS method for
nonconvex unconstrained optimization
problems . . . . . . . . . . . . . . . . 1747--1767
Sean Hon and
Po Yin Fung and
Jiamei Dong and
Stefano Serra-Capizzano A sine transform based preconditioned
MINRES method for all-at-once systems
from constant and variable-coefficient
evolutionary PDEs . . . . . . . . . . . 1769--1799
Callum Robert Marples and
Philip Michael Williams Patch area and uniform sampling on the
surface of any ellipsoid . . . . . . . . 1801--1827
Tongke Wang and
Huan Lian and
Lu Ji Singularity separation Chebyshev
collocation method for weakly singular
Volterra integral equations of the
second kind . . . . . . . . . . . . . . 1829--1854
Yifei Wang and
Jin Huang and
Hu Li A Numerical Approach for the System of
Nonlinear Variable-order Fractional
Volterra Integral Equations . . . . . . 1855--1877
Alicia Cordero and
Renso V. Rojas-Hiciano and
Juan R. Torregrosa and
Maria P. Vassileva A highly efficient class of optimal
fourth-order methods for solving
nonlinear systems . . . . . . . . . . . 1879--1904
Vladislav N. Kovalnogov and
Ruslan V. Fedorov and
Tamara V. Karpukhina and
Theodore E. Simos and
Charalampos Tsitouras Runge--Kutta pairs of orders 9(8) for
use in quadruple precision computations 1905--1919
Erfan Solhi and
Farshid Mirzaee and
Shiva Naserifar Enhanced moving least squares method for
solving the stochastic fractional
Volterra integro-differential equations
of Hammerstein type . . . . . . . . . . 1921--1951
Dongdong Hu and
Linghua Kong and
Wenjun Cai and
Yushun Wang Fully decoupled, linear, and
energy-preserving GSAV difference
schemes for the nonlocal coupled
sine-Gordon equations in multiple
dimensions . . . . . . . . . . . . . . . 1953--1980
Rui Li and
Yali Gao and
Zhangxin Chen Adaptive discontinuous Galerkin finite
element methods for the Allen--Cahn
equation on polygonal meshes . . . . . . 1981--2014
A. Melman An efficient approximation to the Cauchy
radius . . . . . . . . . . . . . . . . . 1--11
Eleonora Denich and
Paolo Novati A fast and simple algorithm for the
computation of the Lerch transcendent 13--32
Subhashree Patel and
Bijaya Laxmi Panigrahi Jacobi spectral projection methods for
Fredholm integral equations of the first
kind . . . . . . . . . . . . . . . . . . 33--57
Ihor Borachok and
Roman Chapko and
B. Tomas Johansson Rothe's method in combination with a
fundamental sequences method for the
nonstationary Stokes problem . . . . . . 59--73
Xin-Hui Shao and
Zhe Wang The nonsmooth Newton's method for the
horizontal nonlinear complementarity
problem . . . . . . . . . . . . . . . . 75--103
Rashad M. Asharabi and
Felwah H. Al-Haddad A multidimensional Hermite--Gauss
sampling formula for analytic functions
of several variables . . . . . . . . . . 105--134
Wenju Liu and
Tengjin Zhao and
Zhiyue Zhang High order hybrid asymptotic augmented
finite volume methods for nonlinear
degenerate wave equations . . . . . . . 135--184
Fei Xu and
Bingyi Wang and
Manting Xie Local and parallel multigrid method for
semilinear Neumann problem with
nonlinear boundary condition . . . . . . 185--210
Sudesh Kumari and
Krzysztof Gdawiec and
Ashish Nandal and
Naresh Kumar and
Renu Chugh On the viscosity approximation type
iterative method and its non-linear
behaviour in the generation of
Mandelbrot and Julia sets . . . . . . . 211--236
Yuncheng Liu and
Fuquan Xia Proximal variable smoothing method for
three-composite nonconvex nonsmooth
minimization with a linear operator . . 237--266
Fengxia Zhang and
Musheng Wei and
Ying Li and
Jianli Zhao The forward rounding error analysis of
the partial pivoting quaternion $ L U $
decomposition . . . . . . . . . . . . . 267--288
E. G. Birgin and
J. M. Martínez A PDE-informed optimization algorithm
for river flow predictions . . . . . . . 289--304
F. Bouyghf and
A. Messaoudi and
H. Sadok A unified approach to Krylov subspace
methods for solving linear systems . . . 305--332
Yuanyuan Zhang and
Qingbiao Wu and
Yao Xiao and
Zhewei Xie Modified Newton--PBS method for solving
a class of complex symmetric nonlinear
systems . . . . . . . . . . . . . . . . 333--368
Hong Wang A decentralized smoothing quadratic
regularization algorithm for composite
consensus optimization with
non-Lipschitz singularities . . . . . . 369--396
Silvia Noschese and
Lothar Reichel Enhancing multiplex global efficiency 397--416
Yuhang Zhang and
Minghui Song and
Mingzhu Liu and
Bowen Zhao Convergence and stability of the
Milstein scheme for stochastic
differential equations with piecewise
continuous arguments . . . . . . . . . . 417--448
Abderrahman Bouhamidi and
Lakhdar Elbouyahyaoui and
Mohammed Heyouni The constant solution method for solving
large-scale differential Sylvester
matrix equations with time invariant
coefficients . . . . . . . . . . . . . . 449--488
Mofreh R. Zaghloul and
Leen Alrawas Calculation of Fresnel integrals of real
and complex arguments up to 28
significant digits . . . . . . . . . . . 489--506
S. González-Pinto and
D. Hernández-Abreu and
S. Pérez-Rodríguez Boundary corrections on
multi-dimensional PDEs . . . . . . . . . 507--535
Pingfei Dai and
Qingbiao Wu Modulus-based block triangular splitting
iteration method for solving the
generalized absolute value equations . . 537--555
Alamgir Hossain and
Md. Nasim Akhtar and
Maria A. Navascués Fractal interpolation on the real
projective plane . . . . . . . . . . . . 557--582
Ikram Boukhelkhal and
Rebiha Zeghdane Lagrange interpolation polynomials for
solving nonlinear stochastic integral
equations . . . . . . . . . . . . . . . 583--618
Boukhelkhal Ikram and
Rebiha Zeghdane Correction to: Lagrange interpolation
polynomials for solving nonlinear
stochastic integral equations . . . . . 619--619
Abdelkrim Chakib and
Ibrahim Khalil and
Azeddine Sadik An improved numerical approach for
solving shape optimization problems on
convex domains . . . . . . . . . . . . . 621--663
Ashif Mustafa and
Manideepa Saha A two-dimensional randomized extended
Gauss--Seidel algorithm for solving
least squares problems . . . . . . . . . 665--686
Chaoqian Li and
Yonghe Liu and
Fengsheng Wu and
Maolin Che Randomized block Krylov subspace
algorithms for low-rank quaternion
matrix approximations . . . . . . . . . 687--717
S. J. Castillo and
J. Karátson Rates of robust superlinear convergence
of preconditioned Krylov methods for
elliptic FEM problems . . . . . . . . . 719--738
M. Taghipour and
H. Aminikhah Numerical solution of distributed-order
fractional Korteweg--de Vries equation
via fractional Zigzag rising diagonal
functions . . . . . . . . . . . . . . . 739--776
Eda Oktay and
Erin Carson Mixed precision Rayleigh quotient
iteration for total least squares
problems . . . . . . . . . . . . . . . . 777--798
Cairong Chen and
Bo Huang and
Dongmei Yu and
Deren Han Optimal parameter of the SOR-like
iteration method for solving absolute
value equations . . . . . . . . . . . . 799--826
R. Kaafi and
P. Mokhtary and
E. Hesameddini Operational Jacobi Galerkin method for a
class of cordial Volterra integral
equations . . . . . . . . . . . . . . . 827--843
Taylor Brysiewicz and
Jonathan D. Hauenstein and
Caroline Hills Max-convolution through numerics and
tropical geometry . . . . . . . . . . . 845--877
Pratibha Shakya and
Rajen Kumar Sinha Analysis for the space-time a posteriori
error estimates for mixed finite element
solutions of parabolic optimal control
problems . . . . . . . . . . . . . . . . 879--924
Narendra Singh Yadav and
Kaushik Mukherjee Efficient parameter-robust numerical
methods for singularly perturbed
semilinear parabolic PDEs of
convection-diffusion type . . . . . . . 925--973
Issam Abdennebi and
Azedine Rahmoune Adaptive spectral solution method for
Fredholm integral equations of the
second kind . . . . . . . . . . . . . . 975--998
Yunxia Wang and
Zhiyong Si A convex splitting method for the
time-dependent Ginzburg--Landau equation 999--1017
Kevin Burrage and
Zdzis\law Jackiewicz and
Bernd Krauskopf and
Yuto Miyatake and
Helmut Podhaisky and
Mayya Tokman ANODE 2023 In honour of John Butcher's
90th birthday . . . . . . . . . . . . . 1019--1020
Mark Adams and
Paul Muir Differential equation software for the
computation of error-controlled
continuous approximate solutions . . . . 1021--1044
Julien Alexandre dit Sandretto Validated $B$-series and Runge--Kutta
pairs . . . . . . . . . . . . . . . . . 1045--1062
Pamela M. Burrage and
Hasitha N. Weerasinghe and
Kevin Burrage Using a library of chemical reactions to
fit systems of ordinary differential
equations to agent-based models: a
machine learning approach . . . . . . . 1063--1077
Dana C'Julio and
Bernd Krauskopf and
Hinke M. Osinga Computing parametrised large
intersection sets of 1D invariant
manifolds: a tool for blender detection 1079--1108
Robert M. Corless An Hermite--Obreshkov method for
2nd-order linear initial-value problems
for ODE . . . . . . . . . . . . . . . . 1109--1141
Valentin Dallerit and
Tommaso Buvoli and
Mayya Tokman and
Stéphane Gaudreault Second-order Rosenbrock-exponential
(ROSEXP) methods for partitioned
differential equations . . . . . . . . . 1143--1161
Rui Fang and
Richard Tsai Stabilization of parareal algorithms for
long-time computation of a class of
highly oscillatory Hamiltonian flows
using data . . . . . . . . . . . . . . . 1163--1187
Volker Grimm and
Tobias Kliesch and
G. R. W. Quispel Discrete gradients in short-range
molecular dynamics simulations . . . . . 1189--1220
Thomas Izgin and
Stefan Kopecz and
Andreas Meister and
Amandine Schilling On the non-global linear stability and
spurious fixed points of MPRK schemes
with negative RK parameters . . . . . . 1221--1242
David Kai Zhang An explicit 16-stage Runge--Kutta method
of order 10 discovered by numerical
search . . . . . . . . . . . . . . . . . 1243--1267
Yuto Miyatake A new family of fourth-order
energy-preserving integrators . . . . . 1269--1293
Shun Sato High-order linearly implicit exponential
integrators conserving quadratic
invariants with application to scalar
auxiliary variable approach . . . . . . 1295--1329
Kansei Ushiyama and
Shun Sato and
Takayasu Matsuo Properties and practicability of
convergence-guaranteed optimization
methods derived from weak discrete
gradients . . . . . . . . . . . . . . . 1331--1362
J. H. Verner Nullspaces yield new explicit
Runge--Kutta pairs . . . . . . . . . . . 1363--1390
Siqi Wei and
Raymond J. Spiteri The effect of splitting strategy on
qualitative property preservation . . . 1391--1421
A. B. Abubakar and
A. H. Ibrahim and
M. Abdullahi and
M. Aphane and
Jiawei Chen A sufficient descent LS--PRP-BFGS-like
method for solving nonlinear monotone
equations with application to image
restoration . . . . . . . . . . . . . . 1423--1464
Austine Efut Ofem and
Akindele Adebayo Mebawondu and
Godwin Chidi Ugwunnadi and
Prasit Cholamjiak and
Ojen Kumar Narain Relaxed Tseng splitting method with
double inertial steps for solving
monotone inclusions and fixed point
problems . . . . . . . . . . . . . . . . 1465--1498
Di Gan and
Guo-Feng Zhang and
Zhao-Zheng Liang Preconditioning techniques of
all-at-once systems for multi-term
time-fractional diffusion equations . . 1499--1531
Ziyi Zhou and
Haixiang Zhang and
Xuehua Yang $ H^1 $-norm error analysis of a robust
ADI method on graded mesh for
three-dimensional subdiffusion problems 1533--1551
Arnab Kayal and
Moumita Mandal A new approach of shifted Jacobi
spectral Galerkin methods (SJSGM) for
weakly singular Fredholm integral
equation with non-smooth solution . . . 1553--1582
Kabiru Ahmed and
Mohammed Yusuf Waziri and
Abubakar Sani Halilu and
Salisu Murtala and
Jamilu Sabi'u Another Hager--Zhang-type method via
singular-value study for constrained
monotone equations with application . . 1583--1623
Abdulkarim Hassan Ibrahim and
Mohammed Alshahrani and
Suliman Al-Homidan Two classes of spectral three-term
derivative-free method for solving
nonlinear equations with application . . 1625--1645
Zhilin Li and
Kejia Pan and
Juan Ruiz-Álvarez Stable high order FD methods for
interface and internal layer problems
based on non-matching grids . . . . . . 1647--1674
Jaroslav M. Fowkes and
Nicholas I. M. Gould and
Jennifer A. Scott Approximating sparse Hessian matrices
using large-scale linear least squares 1675--1698
\Lukasz Stepie\'n Adaptive step-size control for global
approximation of SDEs driven by
countably dimensional Wiener process . . 1699--1725
Harmandeep Singh and
Janak Raj Sharma An efficient class of
Traub--Steffensen-type optimal order
multiple root solvers . . . . . . . . . 1727--1754
Guang-Xin Huang and
Shuang-You Zhong Tensor randomized extended Kaczmarz
methods for large inconsistent tensor
linear equations with $t$-product . . . 1755--1778
Yang Li and
Yanhong Bai and
Minfu Feng A stabilized Crank--Nicolson virtual
element method for the unsteady
Navier--Stokes problems with high
Reynolds number . . . . . . . . . . . . 1779--1817
Hamed Sadeghi and
Sebastian Banert and
Pontus Giselsson Incorporating history and deviations in
forward-backward splitting . . . . . . . 1819--1867
T. M. C. Priyanka and
A. Gowrisankar and
Jinde Cao Fractal functions associated with Reich
contractions: an approximation of
chaotic attractors . . . . . . . . . . . 1869--1886
Shahabeddin Najafi and
Masoud Hajarian An improved Riemannian conjugate
gradient method and its application to
robust matrix completion . . . . . . . . 1887--1900
Peiping Shen and
Yaping Deng and
Dianxiao Wu A criterion space algorithm for solving
linear multiplicative programming
problems . . . . . . . . . . . . . . . . 1901--1923
G. García A numerical method to approximate the
solutions of nonlinear systems in
densifiable sets . . . . . . . . . . . . 1925--1943
Shun Sato Correction to: High-order linearly
implicit exponential integrators
conserving quadratic invariants with
application to scalar auxiliary variable
approach . . . . . . . . . . . . . . . . 1945--1946
Jan Papez and
Petr Tichý Estimating error norms in CG-like
algorithms for least-squares and
least-norm problems . . . . . . . . . . 1--28
Maolin Liang and
Lifang Dai and
Ruijuan Zhao Iterative methods for solving tensor
equations based on exponential
acceleration . . . . . . . . . . . . . . 29--49
Chenzheng Guo and
Jing Zhao and
Qiao-Li Dong A stochastic two-step inertial Bregman
proximal alternating linearized
minimization algorithm for nonconvex and
nonsmooth problems . . . . . . . . . . . 51--100
Qiyuan Chen and
Jeffrey Uhlmann and
Ke Ye Generalizing Frobenius inversion to
quaternion matrices . . . . . . . . . . 101--116
Qiyuan Chen and
Jeffrey Uhlmann and
Ke Ye Correction to: Generalizing Frobenius
inversion to quaternion matrices . . . . 117--117
Jinrui Guan and
Zhixin Wang A generalized ALI iteration method for
nonsymmetric algebraic Riccati equations 119--134
Caixia Ou and
Dakang Cen and
Zhibo Wang and
Seakweng Vong Fitted schemes for Caputo--Hadamard
fractional differential equations . . . 135--164
Caixia Ou and
Dakang Cen and
Zhibo Wang and
Seakweng Vong Correction to: Fitted schemes for
Caputo--Hadamard fractional differential
equations . . . . . . . . . . . . . . . 165--165
Yi Huang and
Wansheng Wang and
Yanming Zhang Unconditional long-time
stability-preserving second-order BDF
fully discrete method for fractional
Ginzburg--Landau equation . . . . . . . 167--189
Qian Chen and
Zhengwei Shen A two-metric variable scaled
forward-backward algorithm for $ \ell_0
$ optimization problem and its
applications . . . . . . . . . . . . . . 191--221
Ling Chang Kong and
Xiao Shan Chen Riemannian optimization methods for the
truncated Takagi factorization . . . . . 223--242
Jing Wang and
Yuting Zhang and
Danchen Zhu and
Lingzhi Qian An interior penalty discontinuous
Galerkin reduced order model for the
variable coefficient
advection-diffusion-reaction equation 243--270
Zhenwei Guo and
Tongsong Jiang and
V. I. Vasil'ev and
Gang Wang Complex structure-preserving method for
Schrödinger equations in quaternionic
quantum mechanics . . . . . . . . . . . 271--287
Bo Song and
Jing-Yi Wang and
Yao-Lin Jiang Analysis of a New Krylov subspace
enhanced parareal algorithm for
time-periodic problems . . . . . . . . . 289--310
A. Gibbs and
D. P. Hewett and
B. Major Numerical evaluation of singular
integrals on non-disjoint self-similar
fractal sets . . . . . . . . . . . . . . 311--343
Mohamed Arrai and
Chafik Allouch and
Abderrahim Aslimani Fast superconvergent solvers for weakly
singular Hammerstein equations . . . . . 345--372
Toshio Yoshida and
Yoshinori Adachi Computation of incomplete beta function
ratios $ I_x(a, b) $ with Deuflhard's
algorithm . . . . . . . . . . . . . . . 373--390
Yabing Sun and
Quan Zhou Maximum bound principle for
matrix-valued Allen--Cahn equation and
integrating factor Runge--Kutta method 391--429
Ali Abdi and
Martin Arnold and
Helmut Podhaisky The barycentric rational numerical
differentiation formulas for stiff ODEs
and DAEs . . . . . . . . . . . . . . . . 431--451
Niloofar Naghdi and
Sedaghat Shahmorad Theoretical and numerical analysis of a
first-kind linear Volterra functional
integral equation with weakly singular
kernel and vanishing delay . . . . . . . 453--473
Xin Xing and
Demin Liu A two-level iterative method with
Newton-type linearization for the
stationary micropolar fluid equations 475--501
Min-Li Zeng and
Zhong Zheng An improved preconditioned inexact Uzawa
method for elliptic optimal control
problems . . . . . . . . . . . . . . . . 503--538
Aniruddha Seal and
Srinivasan Natesan A numerical approach for nonlinear
time-fractional diffusion equation with
generalized memory kernel . . . . . . . 539--565
M. A. Hernández-Verón and
Á. A. Magreñán and
Eulalia Martínez and
Eva G. Villalba Solving non-differentiable Hammerstein
integral equations via first-order
divided differences . . . . . . . . . . 567--594
Moody T. Chu and
Matthew M. Lin On the enumeration of subcells within
hypercubes and its application to the
Borsuk--Ulam theorem . . . . . . . . . . 595--615
Amna Bibi and
Mujeeb ur Rehman A numerical technique based on
multiplicative integration strategy for
fractional Darboux problem . . . . . . . 617--643
Rajesh Yadav and
Deepak Kumar Yadav and
Alpesh Kumar RBF-FD based some implicit-explicit
methods for pricing option under
regime-switching jump-diffusion model
with variable coefficients . . . . . . . 645--685
S. Priyadarshana and
J. Mohapatra An efficient fractional step numerical
algorithm for time-delayed singularly
perturbed 2D
convection-diffusion-reaction problem
with two small parameters . . . . . . . 687--726
Suayip Toprakseven and
Aditya Kaushik and
Manju Sharma A weak Galerkin finite element method
for singularly perturbed problems with
two small parameters on Bakhvalov-type
meshes . . . . . . . . . . . . . . . . . 727--751
Raziyeh Erfanifar and
Masoud Hajarian Splitting iteration methods to solve
non-symmetric algebraic Riccati matrix
equation $ Y A Y - Y B - C Y + D = 0 $ 753--778
Hongling Shi and
Minghui Song and
Mingzhu Liu Strong convergence of explicit numerical
schemes for stochastic differential
equations with piecewise continuous
arguments . . . . . . . . . . . . . . . 779--800
A. Boumenir The reconstruction of the
space-dependent thermal conductivity
coefficient . . . . . . . . . . . . . . 801--817
Florian Bünger Reducing the truncation error in Taylor
model multiplication . . . . . . . . . . 819--841
Zhaolu Tian and
Xuefeng Duan and
Nian-Ci Wu and
Zhongyun Liu The parameterized accelerated iteration
method for solving the matrix equation $
A X B = C $ . . . . . . . . . . . . . . 843--867
Mofreh R. Zaghloul Efficient numerical algorithms for
multi-precision and multi-accuracy
calculation of the error functions and
Dawson integral with complex arguments 869--887
Thomas Smotzer and
John Buoni Another HSS iteration method . . . . . . 889--896
Mahsa Nosrati and
Keyvan Amini A new structured spectral conjugate
gradient method for nonlinear least
squares problems . . . . . . . . . . . . 897--914
Rabia Aktas Karaman and
Esra Güldogan Lekesiz and
Yelda Aygar A study on Sobolev orthogonal
polynomials on a triangle . . . . . . . 915--944
Stoil I. Ivanov Families of high-order simultaneous
methods with several corrections . . . . 945--958
Raziyeh Erfanifar and
Masoud Hajarian A new multi-step method for solving
nonlinear systems with high efficiency
indices . . . . . . . . . . . . . . . . 959--984
Wenli Liu and
Jinbao Jian and
Jianghua Yin An inertial spectral conjugate gradient
projection method for constrained
nonlinear pseudo-monotone equations . . 985--1015
Hongwei Li and
Xiangyu Zhang Artificial boundary method for the
Zakharov--Rubenchik equations . . . . . 1017--1037
Morrakot Khebchareon and
Amiya K. Pani and
Graeme Fairweather and
Ryan I. Fernandes An alternating direction implicit finite
element Galerkin method for the linear
Schrödinger equation . . . . . . . . . . 1039--1066
Meng Chen and
Leevan Ling Exploring oversampling in RBF
least-squares collocation method of
lines for surface diffusion . . . . . . 1067--1087
Younes Talaei and
Mahmoud A. Zaky and
Ahmed S. Hendy An easy-to-implement recursive
fractional spectral-Galerkin method for
multi-term weakly singular Volterra
integral equations with non-smooth
solutions . . . . . . . . . . . . . . . 1089--1117
Chengjing Wang and
Xile Zhao and
Qingsong Wang and
Zepei Ma and
Peipei Tang An inexact proximal
majorization-minimization algorithm for
remote sensing image stripe noise
removal . . . . . . . . . . . . . . . . 1119--1139
Qiling Gu and
Yanping Chen and
Jianwei Zhou and
Jian Huang A fast linearized virtual element method
on graded meshes for nonlinear
time-fractional diffusion equations . . 1141--1177
Junqing Jia and
Xiaoyun Jiang and
Xiaoqing Chi Improved uniform error bounds of
Lawson-type exponential integrator
method for long-time dynamics of the
high-dimensional space fractional
sine-Gordon equation . . . . . . . . . . 1179--1214
Olawale K. Oyewole and
Simeon Reich Two subgradient extragradient methods
based on the golden ratio technique for
solving variational inequality problems 1215--1236
Zichen Yao and
Zhanwen Yang Numerical stability analysis of
spatial-temporal fully discrete scheme
for time-fractional delay Schrödinger
equations . . . . . . . . . . . . . . . 1237--1265
Duong Viet Thong and
Simeon Reich and
Prasit Cholamjiak and
Le Dinh Long Iterative methods for solving monotone
variational inclusions without prior
knowledge of the Lipschitz constant of
the single-valued operator . . . . . . . 1267--1300
Yingjun Jiang and
Huiran Bai Multigrid methods for time fractional
conservation laws . . . . . . . . . . . 1301--1322
Xuan Liu and
Yongkui Zou and
Shimin Chai and
Huimin Wang Optimal convergence analysis of weak
Galerkin finite element methods for
parabolic equations with lower
regularity . . . . . . . . . . . . . . . 1323--1339
Zeinab Gharibi A weak Galerkin pseudostress-based mixed
finite element method on polygonal
meshes: application to the Brinkman
problem appearing in porous media . . . 1341--1366
Tao Wang and
Ying Li and
Musheng Wei and
Yimeng Xi and
Mingcui Zhang Algebraic method for $ L U $
decomposition of dual quaternion matrix
and its corresponding
structure-preserving algorithm . . . . . 1367--1382
Guangzhi Du and
Liyun Zuo Improved parallel finite element methods
for the stationary Navier--Stokes
problem . . . . . . . . . . . . . . . . 1383--1396
Teodora Catinas and
Andra Malina Spherical interpolation of scattered
data using least squares thin-plate
spline and inverse multiquadric
functions . . . . . . . . . . . . . . . 1397--1414
Wubeshet Seyoum Manebo and
Mesfin Mekuria Woldaregay and
Tekle Gemechu Dinka and
Gemechis File Duressa A computational approach to solving a
second-order singularly perturbed
Fredholm integro-differential equation
with discontinuous source term . . . . . 1415--1430
Xu Liu and
Qi Hong and
Hong-lin Liao and
Yuezheng Gong A multi-physical structure-preserving
method and its analysis for the
conservative Allen--Cahn equation with
nonlocal constraint . . . . . . . . . . 1431--1451
Lei Gao and
Xian-Ming Gu and
Xiudan Jia and
Chaoqian Li Upper triangulation-based infinity norm
bounds for the inverse of Nekrasov
matrices with applications . . . . . . . 1453--1479
Christian Zietlow and
Jörg K. N. Lindner ADMM-TGV image restoration for
scientific applications with unbiased
parameter choice . . . . . . . . . . . . 1481--1512
P. K. Singh and
S. Saha Ray A numerical approach based on Pell
polynomial for solving stochastic
fractional differential equations . . . 1513--1534
Jilali Abouir and
Brahim Benouahmane Extended homogeneous bivariate
orthogonal polynomials: symbolic and
numerical Gaussian cubature formula . . 1535--1561
Xiaofeng Wang and
Jiayi Xu Conformable vector Traub's method for
solving nonlinear systems . . . . . . . 1563--1582
Melih Cem Canak and
Gulcin M. Muslu Error analysis of the exponential wave
integrator sine pseudo-spectral method
for the higher-order Boussinesq equation 1583--1606
Arnold Neumaier and
Morteza Kimiaei and
Behzad Azmi Globally linearly convergent nonlinear
conjugate gradients without Wolfe line
search . . . . . . . . . . . . . . . . . 1607--1633
Kandappan V. A and
Vaishnavi Gujjula and
Sivaram Ambikasaran HODLR3D: hierarchical matrices for
$N$-body problems in three dimensions 1635--1672
Wenlong Pei The semi-implicit DLN algorithm for the
Navier--Stokes equations . . . . . . . . 1673--1713
Xin-long Luo and
Hang Xiao and
Sen Zhang Continuation Newton methods with
deflation techniques for global
optimization problems . . . . . . . . . 1715--1790
Xu Chen and
Xin-Xin Gong and
Zi-Run She and
Zi-Hang She A novel banded preconditioner for
coupled tempered fractional diffusion
equation generated from the
regime-switching CGMY model . . . . . . 1791--1822
Afsaneh Moradi and
Jeremy Chouchoulis and
Raffaele D'Ambrosio and
Jochen Schütz Jacobian-free explicit multiderivative
general linear methods for hyperbolic
conservation laws . . . . . . . . . . . 1823--1858
Xueqing Teng and
Hong Zhang High-order $ L^2 $-bound-preserving
Fourier pseudo-spectral schemes for the
Allen--Cahn equation . . . . . . . . . . 1859--1894
Mahboub Baccouch A posteriori error analysis of an
ultra-weak local discontinuous Galerkin
method for nonlinear fourth-order
boundary-value problems . . . . . . . . 1895--1933
Yu-Hong Ran and
Qian-Qian Wu Block-circulant with circulant-block
preconditioners for two-dimensional
spatial fractional diffusion equations 1935--1953
Zhengge Huang and
Jingjing Cui Modified and accelerated relaxed
gradient-based iterative algorithms for
the complex conjugate and transpose
matrix equations . . . . . . . . . . . . 1955--2009
Alicia Cordero and
Renso V. Rojas-Hiciano and
Juan R. Torregrosa and
Paula Triguero-Navarro Efficient parametric family of
fourth-order Jacobian-free iterative
vectorial schemes . . . . . . . . . . . 2011--2029
Ji-Teng Jia and
Rong Xie and
Shuo Ni and
Xiao-Yan Xu An efficient breakdown-free algorithm
for numerically evaluating the
determinants of $ (p, q) $-pentadiagonal
matrices . . . . . . . . . . . . . . . . 2031--2049
Bernardo de la Calle Ysern and
Pedro Galán del Sastre A Lagrange interpolation with
preprocessing to nearly eliminate
oscillations . . . . . . . . . . . . . . 2051--2082
Bin Zhou and
Jie Jiang and
Yongzhong Song and
Hailin Sun Variance-based stochastic projection
gradient method for two-stage
co-coercive stochastic variational
inequalities . . . . . . . . . . . . . . 1--33
B. V. Prithvi and
S. K. Katiyar Comments on ``Fractal functions
associated with Reich contractions: an
approximation of chaotic attractors'' 35--43
B. V. Prithvi and
S. K. Katiyar Correction to: Comments on ``Fractal
functions associated with Reich
contractions: an approximation of
chaotic attractors'' . . . . . . . . . . 45--45
Zhijian Ye and
Zhoushun Zheng and
Zhilin Li New third-order convex splitting methods
and analysis for the phase field crystal
equation . . . . . . . . . . . . . . . . 47--84
Snigdhashree Nayak and
Debasisha Mishra and
Nachiketa Mishra A rotated shift-splitting method for
complex symmetric linear systems . . . . 85--115
Xueli Zhang and
Jin Huang and
Xiaoxia Wen A new numerical algorithm based on least
squares method for solving stochastic
Itô--Volterra integral equations . . . . 117--132
Xin Chen and
Peichao Duan Inertial self-adaptive algorithms for
solving non-smooth convex optimization
problems . . . . . . . . . . . . . . . . 133--163
Yi Yang and
Jin Huang and
Hu Li An $ \alpha $-robust analysis of finite
element method for space--time
fractional diffusion equation . . . . . 165--190
Chien-Hong Cho and
Jhih-Sin Wu On the convergence of the numerical
blow-up time for a rescaling algorithm 191--217
Manh Tuan Hoang High-order nonstandard finite difference
methods preserving dynamical properties
of one-dimensional dynamical systems . . 219--249
Yazheng Dang and
Liyuan Chen and
Yan Gao Multi-block relaxed-dual linear inertial
ADMM algorithm for nonconvex and
nonsmooth problems with nonseparable
structures . . . . . . . . . . . . . . . 251--285
Abdulaziz Alsenafi and
Fares Alazemi and
Javad Alavi An efficient algorithm to solve the
geometric Asian power option price PDE
under the stochastic volatility model 287--306
Ji-Teng Jia and
Yi-Fan Wang Numerical algorithms for the fast and
reliable solution of periodic
tridiagonal Toeplitz linear systems . . 307--324
Tao Zhang and
Yong Xia and
Shiru Li $ O(1 \slash k^2) $ convergence rates of
(dual--primal) balanced augmented
Lagrangian methods for linearly
constrained convex programming . . . . . 325--345
Fares Alazemi and
Abdulaziz Alsenafi and
Alireza Najafi A spectral approach using fractional
Jaiswal functions to solve the mixed
time-fractional Black--Scholes European
option pricing model with error analysis 347--371
Mahboub Baccouch Residual-based a posteriori error
analysis of an ultra-weak discontinuous
Galerkin method for nonlinear
second-order initial-value problems . . 373--404
Wenxiu Guo and
Hua Zheng and
Xiaoping Lu and
Yongxiong Zhang and
Seakweng Vong A relaxation two-step parallel modulus
method without auxiliary variable for
solving large sparse vertical linear
complementarity problems . . . . . . . . 405--429
Yongseok Jang and
Laura Grigori and
Emeric Martin and
Cédric Content Randomized flexible GMRES with deflated
restarting . . . . . . . . . . . . . . . 431--465
Pradip Roul A high-order numerical scheme and its
analysis for Caputo temporal-fractional
Black--Scholes model: European double
barrier knock-out option . . . . . . . . 467--502
Huimin Ren and
Qi Zhang and
Zhongguo Zhou The second-order modified upwind PPM
characteristic difference method and
analysis for solving
convection-diffusion equations . . . . . 503--530
Pradip Roul and
S. Sundar Novel numerical methods based on graded,
adaptive and uniform meshes for a
time-fractional advection--diffusion
equation subjected to weakly singular
solution . . . . . . . . . . . . . . . . 531--561
Xiangtuan Xiong and
Jingjing Han A variational regularization method for
solving the non-characteristic Cauchy
problem in multiple dimensions . . . . . 563--586
Richard Mikaël Slevinsky Fast and stable rational approximation
of generalized hypergeometric functions 587--624
M. Ben-Artzi and
Y. Eidelman and
D. Fishelov Numerical solution of the boundary value
problems for the biharmonic equations
via quasiseparable representations . . . 625--649
Ruishu Liu and
Yulin Cao and
Xiaojie Wang Unconditionally positivity-preserving
explicit Euler-type schemes for a
generalized A\"\it-Sahalia model . . . . 651--675
Hao Chen and
Mahmoud A. Zaky and
Xiangcheng Zheng and
Ahmed S. Hendy and
Wenlin Qiu Spatial two-grid compact difference
method for nonlinear Volterra
integro-differential equation with Abel
kernel . . . . . . . . . . . . . . . . . 677--718
Duong Viet Thong and
Xiao-Huan Li and
Simeon Reich and
Qiao-Li Dong and
Dang Huy Ngan A new approach to the Korpelevich method
for solving pseudomonotone equilibrium
problems . . . . . . . . . . . . . . . . 719--741
Ting Deng and
Jin Huang and
Yifei Wang and
Hu Li A generalized fuzzy barycentric Lagrange
interpolation method for solving
two-dimensional fuzzy fractional
Volterra integral equations . . . . . . 743--766
K. J. Sayana and
G. D. Reddy A class of a posteriori parameter choice
rules for filter-based regularization
schemes . . . . . . . . . . . . . . . . 767--795
Qifeng Zhang and
Dongfang Li and
Wanying Mao A family of linearly weighted-$ \theta $
compact ADI schemes for sine-Gordon
equations in high dimensions . . . . . . 797--838
Shu-Jiao Li and
Kang-Ya Lu and
Cun-Qiang Miao Banded preconditioning with shift
compensation for solving discrete Riesz
space-fractional diffusion equations . . 839--876
Ali Abdi and
Seyyed Ahmad Hosseini and
Helmut Podhaisky The linear barycentric rational backward
differentiation formulae for stiff ODEs
on nonuniform grids . . . . . . . . . . 877--902
Qichen Xu and
Tyler Chen A posteriori error bounds for the
block-Lanczos method for matrix function
approximation . . . . . . . . . . . . . 903--927
B. Y. Datsko and
M. V. Kutniv Explicit numerical methods for solving
singular initial value problems for
systems of second-order nonlinear ODEs 929--942
Kunyu Zhang and
Hu Shao and
Ting Wu and
Xiaoquan Wang A class of accelerated GADMM-based
method for multi-block nonconvex
optimization problems . . . . . . . . . 943--985
Suchismita Patra A numerical approach for investigating
multiple eigenpairs of a quasilinear
elliptic system . . . . . . . . . . . . 987--1012
Abdeslem Hafid Bentbib and
Maryam Boubekraoui and
Khalide Jbilou Extrapolation methods for multilinear
PageRank . . . . . . . . . . . . . . . . 1013--1043
Yande Xia and
Yun-Bo Yang An Arrow--Hurwicz iterative method based
on charge-conservation for the
stationary inductionless
magnetohydrodynamic system . . . . . . . 1045--1084
Jingyong Tang and
Jinchuan Zhou A two-step Broyden-like method for
nonlinear equations . . . . . . . . . . 1085--1105
Xiaofeng Wang Analytical and numerical studies of the
modified Kawahara equation with
dual-power law nonlinearities . . . . . 1107--1139
Sergio Amat and
David Levin and
Juan Ruiz-Álvarez and
Dionisio F. Yáñez Non-linear WENO B-spline based
approximation method . . . . . . . . . . 1141--1169
Zhenhao Lu and
Wenping Fan A fast algorithm for multi-term
time-space fractional diffusion equation
with fractional boundary condition . . . 1171--1194
Liviu Marin and
Andrei Tiberiu Pantea Boundary reconstruction in
two-dimensional steady-state anisotropic
heat conduction . . . . . . . . . . . . 1195--1230
Manoochehr Khasi A computational approach based on the
Legendre--Galerkin method for solving a
distributed optimal control problem
constrained by the biharmonic equation 1231--1259
Kyung Soo Rim An algorithm for approximating implicit
functions by polynomials without using
higher order differentiability
information . . . . . . . . . . . . . . 1261--1279
Shan Ma and
Si Li and
Feng Ma Preconditioned golden ratio primal--dual
algorithm with linesearch . . . . . . . 1281--1311
Michael Koch and
Sabine Le Borne and
Willi Leinen Smaller stencil preconditioners for
linear systems in RBF--FD
discretizations . . . . . . . . . . . . 1313--1335
Zheng-Fen Jin and
Yibao Fan and
Youlin Shang and
Weiwei Ding A dual symmetric Gauss--Seidel
technique-based proximal ADMM for robust
fused lasso estimation . . . . . . . . . 1337--1360
Andreas Karageorghis and
Daniel Lesnic Solution of the Cauchy problem for the
Brinkman equations using an alternating
method of fundamental solutions . . . . 1361--1393
Xinlong Feng and
Xiaoli Lu and
Yinnian He Optimal error estimates of penalty
difference finite element method for the
3D steady Navier--Stokes equations . . . 1395--1427
Christian Pötzsche and
David Rackl Nyström discretization of
integrodifference equations: numerical
continuation of periodic solutions and
Floquet multipliers . . . . . . . . . . 1429--1465
S. K. Mishra and
D. Singh and
Pankaj Optimality and duality results for
fractional programming problems under
E-univexity . . . . . . . . . . . . . . 1467--1480
Rafa\l Perczy\'nski and
Grzegorz Madejski Numerical integrator for highly
oscillatory differential equations based
on the Neumann series . . . . . . . . . 1481--1505
Manzoor Hussain and
Abdul Ghafoor The localized meshless method of lines
for the approximation of two-dimensional
reaction--diffusion system . . . . . . . 1507--1551
Y. Khiar and
E. Mainar and
E. Royo-Amondarain and
B. Rubio On the accurate computation of the
Newton form of the Lagrange interpolant 1553--1573
Lu Zhang and
Hongxia Wang and
Hui Zhang Quantile-based random sparse Kaczmarz
for corrupted and noisy linear systems 1575--1610
Yusong Luo and
Weiping Shen An Ulm-like algorithm for generalized
inverse eigenvalue problems . . . . . . 1611--1641
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