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Kai Diethelm Error bounds for spline-based quadrature
methods for strongly singular integrals 257--261
Ishtiaq Rasool Khan and
Ryoji Ohba Closed-form expressions for the finite
difference approximations of first and
higher derivatives based on Taylor
series . . . . . . . . . . . . . . . . . 179--193
Ravi P. Agarwal and
Donal O'Regan Editorial . . . . . . . . . . . . . . . ix--ix
Ravi P. Agarwal and
Donal O'Regan Some new results for singular problems
with sign changing nonlinearities . . . 1--15
Alberto Cabada and
Juan J. Nieto Fixed points and approximate solutions
for nonlinear operator equations . . . . 17--25
Irena Rachunková Existence of two positive solutions of a
singular nonlinear periodic boundary
value problem . . . . . . . . . . . . . 27--34
Józef Bana\'s and
Juan R. Rodriguez and
Kishin Sadarangani On a class of Urysohn--Stieltjes
quadratic integral equations and their
applications . . . . . . . . . . . . . . 35--50
Nikolaos Halidias and
Nikolaos S. Papageorgiou Existence of solutions for quasilinear
second order differential inclusions
with nonlinear boundary conditions . . . 51--64
S. P. Singh and
E. Tarafdar and
B. Watson A generalized fixed point theorem and
equilibrium point of an abstract economy 65--71
Jan Andres and
Bohumil Krajc Bounded solutions in a given set of
differential systems . . . . . . . . . . 73--82
Sehie Park Acyclic versions of the von Neumann and
Nash equilibrium theorems . . . . . . . 83--91
Agostino Prástaro and
Themistocles M. Rassias A geometric approach of the generalized
d'Alembert equation . . . . . . . . . . 93--122
Russell Johnson and
Mikhail Kamenskii and
Paolo Nistri Bifurcation and multiplicity results for
periodic solutions of a damped wave
equation in a thin domain . . . . . . . 123--139
W. A. Kirk and
Linda Marie Saliga Some results on existence and
approximation in metric fixed point
theory . . . . . . . . . . . . . . . . . 141--152
Xie Ping Ding and
Chun Lin Lou Perturbed proximal point algorithms for
general quasi-variational-like
inclusions . . . . . . . . . . . . . . . 153--165
Patricia J. Y. Wong and
Ravi P. Agarwal Fixed-sign solutions of a system of
higher order difference equations . . . 167--181
Ravi P. Agarwal and
Donal O'Regan Existence criteria for operator
inclusions in abstract spaces . . . . . 183--193
V. Lakshmikantham and
A. S. Vatsala Existence of fixed points of fuzzy
mappings via theory of fuzzy
differential equations . . . . . . . . . 195--200
L. Sanchez A note on a nonautonomous O.D.E. related
to the Fisher equation . . . . . . . . . 201--209
Alice (Chaljub) Simon Some existence results for quasi-linear
elliptic problems via the fixed-point
theorem of Tarski . . . . . . . . . . . 211--216
Claudio Cuevas and
Manuel Pinto Asymptotic behavior in Volterra
difference systems with unbounded delay 217--225
Patricia J. Y. Wong and
Ravi P. Agarwal Eigenvalue theorems for discrete
multipoint conjugate boundary value
problems . . . . . . . . . . . . . . . . 227--240
Massimo Furi and
Maria Patrizia Pera and
Marco Spadini Forced oscillations on manifolds and
multiplicity results for periodically
perturbed autonomous systems . . . . . . 241--254
Leonid Berezansky and
Elena Braverman On oscillation of a logistic equation
with several delays . . . . . . . . . . 255--265
Radu Precup Discrete continuation method for
boundary value problems on bounded sets
in Banach spaces . . . . . . . . . . . . 267--281
Hichem Ben-El-Mechaiekh Spaces and maps approximation and fixed
points . . . . . . . . . . . . . . . . . 283--308
Ming-Po Chen and
Kok-Keong Tan A noncompact generalized
quasi-variational inequality . . . . . . 309--315
C. De Coster and
P. Habets Existence and multiplicity of positive
solutions of the Ginzburg--Landau
boundary value problem . . . . . . . . . 317--327
M. García-Huidobro and
R. Manásevich and
C. S. Yarur Existence of positive singular solutions
for a class of quasilinear elliptic
equations . . . . . . . . . . . . . . . 329--351
C. Y. Chan and
Jian Yang Complete blow-up for degenerate
semilinear parabolic equations . . . . . 353--364
Lynn Erbe and
Allan Peterson and
Ronald Mathsen Existence, multiplicity, and
nonexistence of positive solutions to a
differential equation on a measure chain 365--380
John V. Baxley and
Jenifer Clason Martin Positive solutions of singular nonlinear
boundary value problems . . . . . . . . 381--399
Biagio Ricceri A general variational principle and some
of its applications . . . . . . . . . . 401--410
Anonymous Author Index to Volume 113 (2000) . . . 411--412
Anonymous Newsletter on Computational and Applied
Mathematics . . . . . . . . . . . . . . N1--N14
Anonymous Editorial . . . . . . . . . . . . . . . ix--x
Kangsheng Liu and
Zhuangyi Liu Boundary stabilization of a
nonhomogeneous beam with rotatory
inertia at the tip . . . . . . . . . . . 1--10
S. A. Avdonin and
N. G. Medhin and
T. L. Sheronova Identification of a piecewise constant
coefficient in the beam equation . . . . 11--21
Stephen W. Taylor A smoothing property of a hyperbolic
system and boundary controllability . . 23--40
Khalid Kassara Feedback spreading controls for
semilinear parabolic systems . . . . . . 41--54
C. Maeve McCarthy The optimal design of tubular structures 55--66
A. Martínez and
C. Rodríguez and
M. E. Vázquez-Méndez A control problem arising in the process
of waste water purification . . . . . . 67--79
Sanjay Chawla and
Suzanne M. Lenhart Application of optimal control theory to
bioremediation . . . . . . . . . . . . . 81--102
Martin Gugat A Newton method for the computation of
time-optimal boundary controls of
one-dimensional vibrating systems . . . 103--119
George Avalos Pointwise pressure observations of a
canonical structural acoustics model . . 121--135
Fariba Fahroo and
Michael A. Demetriou Optimal actuator/sensor location for
active noise regulator and tracking
control problems . . . . . . . . . . . . 137--158
R. H. Fabiano Coercive forms associated with elastic
systems with damping . . . . . . . . . . 159--171
M. M. Kostreva and
A. L. Ward Optimal control of a system governed by
an elliptic partial differential
equation . . . . . . . . . . . . . . . . 173--187
Rich Marchand Uniform boundary stabilization of
nonlinear spherical shells by using two
controls only: analysis and numerical
computations . . . . . . . . . . . . . . 189--216
M. Kzaz Asymptotic expansion of Fourier
coefficients associated to functions
with low continuity . . . . . . . . . . 217--230
Xiaoqun Wang Improving the rejection sampling method
in quasi-Monte Carlo methods . . . . . . 231--246
Roland Potthast Stability estimates and reconstructions
in inverse acoustic scattering using
singular sources . . . . . . . . . . . . 247--274
R. K. Mohanty A fourth-order finite difference method
for the general one-dimensional
nonlinear biharmonic problems of first
kind . . . . . . . . . . . . . . . . . . 275--290
H. Bavinck and
H. A. Dieterman Closed-form dynamic response of damped
mass-spring cascades . . . . . . . . . . 291--303
Yimin Wei and
Hebing Wu Convergence properties of Krylov
subspace methods for singular linear
systems with arbitrary index . . . . . . 305--318
Karla Rost and
Zdenek Vavrín Rational interpolation and recursive
solution of Löwner--Vandermonde systems
of equations . . . . . . . . . . . . . . 319--331
Jang Jou and
Jinn-Liang Liu An a posteriori finite element error
analysis for the Stokes equations . . . 333--343
A. I. Ismail Periodic solutions of equations of
motion of a heavy solid applying
Krylov--Bogoliubov--Mitropolski method 345--359
M. N. Hounkonnou and
C. Hounga and
A. Ronveaux Discrete semi-classical orthogonal
polynomials: generalized Charlier . . . 361--366
M. N. Vrahatis and
G. S. Androulakis and
J. N. Lambrinos and
G. D. Magoulas A class of gradient unconstrained
minimization algorithms with adaptive
stepsize . . . . . . . . . . . . . . . . 367--386
Angela Slavova Applications of some mathematical
methods in the analysis of cellular
neural networks . . . . . . . . . . . . 387--404
J. A. Ezquerro and
M. A. Hernández A modification of the super-Halley
method under mild differentiability
conditions . . . . . . . . . . . . . . . 405--409
Anonymous Index . . . . . . . . . . . . . . . . . 411--412
Anonymous Editorial . . . . . . . . . . . . . . . xi--xi
Mina B. Abd-el-Malek and
Samy M. A. El-Mansi Group theoretic methods applied to
Burgers' equation . . . . . . . . . . . 1--12
Manuel Aguirre Téllez The distributional product of Dirac's
delta in a hypercone . . . . . . . . . . 13--21
Sia Amini and
Anthony Profit Analysis of the truncation errors in the
fast multipole method for scattering
problems . . . . . . . . . . . . . . . . 23--33
Claudia Angelini and
Daniela De Canditiis Fourier frequency adaptive
regularization for smoothing data . . . 35--50
M. Azizi and
E. M. Daoudi and
R. El Hani and
A. Lakhouaja Parallel electromagnetic modelling for
the nonlinear electrotechnic systems . . 51--61
P. Barral and
P. Quintela Numerical analysis of a viscoplastic
problem with contact condition taking
place in an aluminium casting . . . . . 63--86
H. Bavinck A note on the Koekoeks' differential
equation for generalized Jacobi
polynomials . . . . . . . . . . . . . . 87--92
Luis G. Cabral-Rosetti and
Miguel A. Sanchis-Lozano Generalized hypergeometric functions and
the evaluation of scalar one-loop
integrals in Feynman diagrams . . . . . 93--99
D. Calvetti and
L. Reichel and
F. Sgallari and
G. Spaletta A regularizing Lanczos iteration method
for underdetermined linear systems . . . 101--120
M. Calvo and
M. P. Laburta and
J. I. Montijano and
L. Rández On the numerical integration of
orthogonal flows with Runge--Kutta
methods . . . . . . . . . . . . . . . . 121--135
Javier de Frutos and
Julia Novo An enhanced pseudospectral Chebyshev
method for dissipative partial
differential equations . . . . . . . . . 137--150
Hennie De Schepper and
Roger Van Keer On the numerical approximation of some
types of nonstandard second-order
eigenvalue problems for vector valued
functions . . . . . . . . . . . . . . . 151--167
Maria do Carmo Coimbra and
Carlos Sereno and
Alírio Rodrigues Modelling multicomponent adsorption
process by a moving finite element
method . . . . . . . . . . . . . . . . . 169--179
J. A. Ezquerro and
M. A. Hernández and
M. A. Salanova A discretization scheme for some
conservative problems . . . . . . . . . 181--192
E. A. Galperin and
E. J. Kansa and
A. Makroglou and
S. A. Nelson Variable transformations in the
numerical solution of second kind
Volterra integral equations with
continuous and weakly singular kernels;
extensions to Fredholm integral
equations . . . . . . . . . . . . . . . 193--211
G. Gheri and
P. Marzulli Parallel shooting with error estimate
for increasing the accuracy . . . . . . 213--227
Martti Hamina An approximation method for the
hypersingular heat operator equation . . 229--243
M. A. Hernández and
M. J. Rubio and
J. A. Ezquerro Secant-like methods for solving
nonlinear integral equations of the
Hammerstein type . . . . . . . . . . . . 245--254
Alain Huard and
Vincent Robin Continuity of approximation by
least-squares multivariate Padé
approximants . . . . . . . . . . . . . . 255--268
Youngmok Jeon Scalar boundary integral equation
formulas for the biharmonic equation ---
numerical experiments . . . . . . . . . 269--282
Peter Junghanns and
Katja Müller A collocation method for nonlinear
Cauchy singular integral equations . . . 283--300
A. Kananthai On the convolution equation related to
the $N$-dimensional ultra-hyperbolic
operator . . . . . . . . . . . . . . . . 301--308
A. H. Khater and
A. B. Shamardan and
D. K. Callebaut and
R. S. Ibrahim Chebyshev spectral collocation methods
for nonlinear isothermal magnetostatic
atmospheres . . . . . . . . . . . . . . 309--329
J. Kobza Iterative functional equation
x(x(t))=f(t) with f(t) piecewise linear 331--347
Toshiyuki Kohno and
Hiroshi Niki and
Hideo Sawami and
Yi-ming Gao An iterative test for $H$-matrix . . . . 349--355
L. Lopez and
C. Mastroserio and
T. Politi Newton-type methods for solving
nonlinear equations on quadratic matrix
groups . . . . . . . . . . . . . . . . . 357--368
M. C. López de Silanes and
M. Pasadas and
J. J. Torrens Construction of curves with parallelism
conditions . . . . . . . . . . . . . . . 369--382
J. Lorente-Pardo and
P. Sablonni\`ere and
M. C. Serrano-Pérez On the convexity of Bézier nets of
quadratic Powell--Sabin splines on $
12$-fold refined triangulations . . . . 383--396
Per Lötstedt Convergence analysis of iterative
methods by pseudodifference operators 397--417
Giorgio Mantica On computing Jacobi matrices associated
with recurrent and Möbius iterated
function systems . . . . . . . . . . . . 419--431
N. Mastronardi and
D. Occorsio The numerical computation of some
integrals on the real line . . . . . . . 433--450
Harold R. Parks and
Jon T. Pitts Energy estimates for area minimizing
hypersurfaces with arbitrary boundaries 451--460
Christian Penski A new numerical method for SDEs and its
application in circuit simulation . . . 461--470
Christian Radoux Addition formulas for polynomials built
on classical combinatorial sequences . . 471--477
M. Robbé and
M. Sadkane Discrete-time Lyapunov stability of
large matrices . . . . . . . . . . . . . 479--494
S. Sallam and
M. Naim Anwar Quintic $ C^2 $-spline integration
methods for solving second-order
ordinary initial value problems . . . . 495--502
Johannes Schropp Conserving first integrals under
discretization with variable step size
integration procedures . . . . . . . . . 503--517
Howard Swann On using the cell discretization
algorithm for mixed-boundary value
problems and domain decomposition . . . 519--534
H. Taseli Accurate numerical bounds for the
spectral points of singular
Sturm--Liouville problems over $ -
\infty < x < \infty $ . . . . . . . . . . 535--546
P. J. van der Houwen and
E. Messina and
B. P. Sommeijer Oscillatory Störmer--Cowell methods . . . 547--564
Antonia Vecchio Stability of backward differentiation
formulas for Volterra
integro-differential equations . . . . . 565--576
Régine Weber and
Jacques Hureau Numerical solution for various inverse
problems . . . . . . . . . . . . . . . . 577--591
Stephen Wollman The particle method for the
Vlasov--Poisson system using equally
spaced initial data points . . . . . . . 593--600
Volker Wulf and
Neville J. Ford Numerical Hopf bifurcation for a class
of delay differential equations . . . . 601--616
Anonymous Index . . . . . . . . . . . . . . . . . 617--618
M. E. Cawood and
V. J. Ervin and
W. J. Layton and
J. M. Maubach Adaptive defect correction methods for
convection dominated, convection
diffusion problems . . . . . . . . . . . 1--21
C. Laurita Condition numbers for singular integral
equations in weighted $ L^2 $ spaces . . 23--40
Luigi Brugnano Blended block BVMS (B$_3$VMs): a family
of economical implicit methods for ODES 41--62
I. Area and
E. Godoy and
F. Marcellán and
J. J. Moreno-Balcázar Ratio and Plancherel--Rotach asymptotics
for Meixner--Sobolev orthogonal
polynomials . . . . . . . . . . . . . . 63--75
Marie-Ange Remiche On the exact distribution of the
Isotropic Planar Point Processes of
Phase type . . . . . . . . . . . . . . . 77--91
M. C. Pardo and
J. A. Pardo Use of Rényi's divergence to test for the
equality of the coefficients of
variation . . . . . . . . . . . . . . . 93--104
Anila Usman and
George Hall Alternative stepsize strategies for
Adams predictor--corrector codes . . . . 105--120
Y. Qiu and
D. M. Sloan and
T. Tang Numerical solution of a singularly
perturbed two-point boundary value
problem using equidistribution: analysis
of convergence . . . . . . . . . . . . . 121--143
A. Kouibia and
M. Pasadas Approximation by discrete variational
splines . . . . . . . . . . . . . . . . 145--156
A. Chakrabarti and
Hamsapriye On some general hybrid transforms . . . 157--165
Peter Hähner On the uniqueness of the shape of a
penetrable, anisotropic obstacle . . . . 167--180
B. M. Brown and
M. S. P. Eastham and
D. K. R. McCormack Resonances and analytic continuation for
exponentially decaying Sturm--Liouville
potentials . . . . . . . . . . . . . . . 181--193
Bahman Kalantari and
Jürgen Gerlach Newton's method and generation of a
determinantal family of iteration
functions . . . . . . . . . . . . . . . 195--200
Luigi C. Berselli and
Fausto Saleri New substructuring domain decomposition
methods for advection--diffusion
equations . . . . . . . . . . . . . . . 201--220
Tomasz J. Kozubowski Computer simulation of geometric stable
distributions . . . . . . . . . . . . . 221--229
Daqing Jiang and
Junyu Wang On boundary value problems for singular
second-order functional differential
equations . . . . . . . . . . . . . . . 231--241
K. H. Kwon and
G. J. Yoon Generalized Hahn's theorem . . . . . . . 243--262
Nami Matsunaga and
Tetsuro Yamamoto Superconvergence of the Shortley--Weller
approximation for Dirichlet problems . . 263--273
P. J. van der Houwen Note on the time integration of $3$D
advection-reaction equations . . . . . . 275--278
Anonymous Index . . . . . . . . . . . . . . . . . 279--280
Anonymous Conference . . . . . . . . . . . . . . . N1--N18
Weizhong Dai and
Yukong Zhang and
Raja Nassar A hybrid finite element-alternating
direction implicit method for solving
parabolic differential equations on
multilayers with irregular geometry . . 1--16
S. H. Lui Domain decomposition methods for
eigenvalue problems . . . . . . . . . . 17--34
Detong Zhu Nonmonotonic projected algorithm with
both trust region and line search for
constrained optimization . . . . . . . . 35--60
Nehla Abdellatif A mixed stream-function and vorticity
formulation for axisymmetric
Navier--Stokes equations . . . . . . . . 61--83
H. M. Barakat and
Y. H. Abdelkader Computing the moments of order
statistics from nonidentically
distributed Weibull variables . . . . . 85--90
David Colton and
Lassi Päivärinta Transmission eigenvalues and a problem
of Hans Lewy . . . . . . . . . . . . . . 91--104
A. Alonso and
A. Dello Russo and
V. Vampa A posteriori error estimates in finite
element acoustic analysis . . . . . . . 105--119
Qi Duan and
K. Djidjeli and
W. G. Price and
E. H. Twizell Weighted rational cubic spline
interpolation and its application . . . 121--135
Baruch Cahlon and
Darrell Schmidt On stability of systems of delay
differential equations . . . . . . . . . 137--158
J. Maryska and
M. Rozlozník and
M. Tuma Schur complement reduction in the
mixed-hybrid approximation of Darcy's
law: rounding error analysis . . . . . . 159--173
G. Belforte and
P. Gay and
G. Monegato Some new properties of Chebyshev
polynomials . . . . . . . . . . . . . . 175--181
Anonymous Index . . . . . . . . . . . . . . . . . 183--183
Anonymous Editorial . . . . . . . . . . . . . . . ix--x
I. Area and
E. Godoy and
F. Marcellán and
J. J. Moreno-Balcázar Inner products involving
$q$-differences: the little
$q$-Laguerre--Sobolev polynomials . . . 1--22
H. Bavinck Differential operators having
Sobolev-type Gegenbauer polynomials as
eigenfunctions . . . . . . . . . . . . . 23--42
Wolfgang Bühring Second-order linear differential
equations with two irregular singular
points of rank three: the characteristic
exponent . . . . . . . . . . . . . . . . 43--69
B. C. Carlson and
James FitzSimons Reduction theorems for elliptic
integrands with the square root of two
quadratic factors . . . . . . . . . . . 71--85
Junesang Choi and
H. M. Srivastava Certain classes of series associated
with the Zeta function and multiple
gamma functions . . . . . . . . . . . . 87--109
G. Dattoli Generalized polynomials, operational
identities and their applications . . . 111--123
E. Elizalde Zeta functions: formulas and
applications . . . . . . . . . . . . . . 125--142
L. Galué and
H. G. Khajah and
S. L. Kalla Multiplication theorems for generalized
and double-index Bessel functions . . . 143--150
H.-J. Glaeske and
Anatoly A. Kilbas and
Megumi Saigo A modified Bessel-type integral
transform and its compositions with
fractional calculus operators on spaces
$ F_{p, \mu } $ and $ F_{p, \mu }' $ . . 151--168
M. L. Glasser Hypergeometric functions and the
trinomial equation . . . . . . . . . . . 169--173
Rudolf Gorenflo and
Yuri Luchko and
Francesco Mainardi Wright functions as scale-invariant
solutions of the diffusion-wave equation 175--191
Ismail Ali and
Vu Kim Tuan Application of basic hypergeometric
series to stable analytic continuation 193--202
Per W. Karlsson Some formulae for double Clausenian
functions . . . . . . . . . . . . . . . 203--213
Per W. Karlsson Inductance and hypergeometric functions.
II . . . . . . . . . . . . . . . . . . . 215--222
A. A. Kilbas and
J. J. Trujillo Computation of fractional integrals via
functions of hypergeometric and Bessel
type . . . . . . . . . . . . . . . . . . 223--239
Virginia S. Kiryakova Multiple (multiindex) Mittag-Leffler
functions and relations to generalized
fractional calculus . . . . . . . . . . 241--259
E. R. Love Another Fourier-style expansion in
series of Legendre functions . . . . . . 261--282
Francesco Mainardi and
Rudolf Gorenflo On Mittag-Leffler-type functions in
fractional evolution processes . . . . . 283--299
Allen R. Miller On the critical case of the
Weber--Schafheitlin integral and a
certain generalization . . . . . . . . . 301--309
Jorge Sánchez-Ruiz and
Jesús S. Dehesa Entropic integrals of orthogonal
hypergeometric polynomials with general
supports . . . . . . . . . . . . . . . . 311--322
H. M. Srivastava and
Hirofumi Tsumura A certain class of rapidly convergent
series representations for $ \zeta (2 n
+ 1) $ . . . . . . . . . . . . . . . . . 323--335
J. Van der Jeugt Hypergeometric series related to the
$9$-$j$ coefficient of $ \mathfrak
{su}(1, 1)$ . . . . . . . . . . . . . . 337--351
S. B. Yakubovich The Titchmarsh integral transformation
by the index of a Bessel function . . . 353--361
Anonymous Index . . . . . . . . . . . . . . . . . 363--364
T. Lyche and
M. Buhmann Preface . . . . . . . . . . . . . . . . ix--ix
Lyuba Alboul and
Gertjan Kloosterman and
Cornelis Traas and
Ruud van Damme Best data-dependent triangulations . . . 1--12
Peter Alfeld Bivariate spline spaces and minimal
determining sets . . . . . . . . . . . . 13--27
Richard H. Bartels and
Faramarz F. Samavati Reversing subdivision rules: local
linear conditions and observations on
inner products . . . . . . . . . . . . . 29--67
J. M. Carnicer and
M. Gasca Bivariate Hermite--Birkhoff polynomial
interpolation with asymptotic conditions 69--79
C. Conti and
K. Jetter A new subdivision method for bivariate
splines on the four-directional mesh . . 81--96
M. Dæhlen and
T. Lyche and
K. Mòrken and
R. Schneider and
H-P. Seidel Multiresolution analysis over triangles,
based on quadratic Hermite interpolation 97--114
Oleg Davydov and
Manfred Sommer and
Hans Strauss Interpolation by bivariate linear
splines . . . . . . . . . . . . . . . . 115--131
Nira Dyn and
Elza Farkhi Spline subdivision schemes for convex
compact sets . . . . . . . . . . . . . . 133--144
Rida T. Farouki Legendre--Bernstein basis
transformations . . . . . . . . . . . . 145--160
Gregory E. Fasshauer and
Eugene C. Gartland, Jr. and
Joseph W. Jerome Algorithms defined by Nash iteration:
some implementations via multilevel
collocation and smoothing . . . . . . . 161--183
Michael S. Floater and
Ewald G. Quak and
Martin Reimers Filter bank algorithms for piecewise
linear prewavelets on arbitrary
triangulations . . . . . . . . . . . . . 185--207
M. von Golitschek Norms of projectors onto spaces with
Riesz bases . . . . . . . . . . . . . . 209--221
T. N. T. Goodman and
S. L. Lee Nonuniform cascade algorithms . . . . . 223--234
Josef Hoschek and
Rainer Müller Turbine blade design by lofted B-spline
surfaces . . . . . . . . . . . . . . . . 235--248
Ming-Jun Lai Convex preserving scattered data
interpolation using bivariate $ C^1 $
cubic splines . . . . . . . . . . . . . 249--258
Tom Lyche and
Karl Scherer On the $p$-norm condition number of the
multivariate triangular Bernstein basis 259--273
Carla Manni A general parametric framework for
functional tension schemes . . . . . . . 275--300
Charles A. Micchelli and
Peder Olsen Penalized maximum-likelihood estimation,
the Baum--Welch algorithm, diagonal
balancing of symmetric matrices and
applications to training acoustic data 301--331
Bernd Mulansky and
Marian Neamtu Interpolation and approximation from
convex sets. II. Infinite-dimensional
interpolation . . . . . . . . . . . . . 333--346
G. Nürnberger and
F. Zeilfelder Interpolation by spline spaces on
classes of triangulations . . . . . . . 347--376
J. M. Peña On the foundation of bases of spline
spaces . . . . . . . . . . . . . . . . . 377--390
Anonymous Index . . . . . . . . . . . . . . . . . 391--392
Anonymous Editorial . . . . . . . . . . . . . . . ix--x
Irene Bauer and
Hans Georg Bock and
Stefan Körkel and
Johannes P. Schlöder Numerical methods for optimum
experimental design in DAE systems . . . 1--25
John T. Betts Very low-thrust trajectory optimization
using a direct SQP method . . . . . . . 27--40
Arturo M. Cervantes and
Lorenz T. Biegler A stable elemental decomposition for
dynamic process optimization . . . . . . 41--57
Wolfgang Egartner Working range optimization for turbine
and compressor blading . . . . . . . . . 59--65
Thomas Dreyer and
Bernd Maar and
Volker Schulz Multigrid optimization in applications 67--84
Christof Büskens and
Helmut Maurer SQP-methods for solving optimal control
problems with control and state
constraints: adjoint variables,
sensitivity analysis and real-time
control . . . . . . . . . . . . . . . . 85--108
Neil Biehn and
Stephen L. Campbell and
Laurent Jay and
Tracey Westbrook Some comments on DAE theory for IRK
methods and trajectory optimization . . 109--131
G. Leugering On the semi-discretization of optimal
control problems for networks of elastic
strings: global optimality systems and
domain decomposition . . . . . . . . . . 133--157
Wenbin Liu and
Ningning Yan A posteriori error estimates for some
model boundary control problems . . . . 159--173
Hans D. Mittelmann and
Helmut Maurer Solving elliptic control problems with
interior point and SQP methods: control
and state constraints . . . . . . . . . 175--195
Philip E. Gill and
Laurent O. Jay and
Michael W. Leonard and
Linda R. Petzold and
Vivek Sharma An SQP method for the optimal control of
large-scale dynamical systems . . . . . 197--213
Anonymous Index . . . . . . . . . . . . . . . . . 215--215
Anonymous Index . . . . . . . . . . . . . . . . . 217--233
Anonymous Index . . . . . . . . . . . . . . . . . 235--253
Luc Wuytack and
Jet Wimp Numerical Analysis in the 20th Century
Vol. I: Approximation Theory . . . . . . ix--x
G. A. Watson Approximation in normed linear spaces 1--36
Yves Nievergelt A tutorial history of least squares with
applications to astronomy and geodesy 37--72
D. Leviatan Shape-preserving approximation by
polynomials . . . . . . . . . . . . . . 73--94
A. Ronveaux and
A. Zarzo and
I. Area and
E. Godoy Classical orthogonal polynomials:
dependence of parameters . . . . . . . . 95--112
Robert Piessens Computing integral transforms and
solving integral equations using
Chebyshev polynomial approximations . . 113--124
G. Nürnberger and
F. Zeilfelder Developments in bivariate spline
interpolation . . . . . . . . . . . . . 125--152
Ren-Hong Wang Multivariate spline and algebraic
geometry . . . . . . . . . . . . . . . . 153--163
Robert Schaback A unified theory of radial basis
functions: Native Hilbert spaces for
radial basis functions II . . . . . . . 165--177
Carl Taswell Constraint-selected and search-optimized
families of Daubechies wavelet filters
computable by spectral factorization . . 179--195
Philippe Guillaume and
Alain Huard Multivariate Padé approximation . . . . . 197--219
Nico M. Temme Numerical and asymptotic aspects of
parabolic cylinder functions . . . . . . 221--246
Jonathan M. Borwein and
David M. Bradley and
Richard E. Crandall Computational strategies for the Riemann
zeta function . . . . . . . . . . . . . 247--296
Stanislaw Lewanowicz Recursion formulae for basic
hypergeometric functions . . . . . . . . 297--312
W. N. Everitt and
L. L. Littlejohn and
R. Wellman The left-definite spectral theory for
the classical Hermite differential
equation . . . . . . . . . . . . . . . . 313--330
B. De Schutter Minimal state-space realization in
linear system theory: an overview . . . 331--354
A. Bultheel and
B. De Moor Rational approximation in linear systems
and control . . . . . . . . . . . . . . 355--378
Frank Stenger Summary of Sinc numerical methods . . . 379--420
Götz Alefeld and
Günter Mayer Interval analysis: theory and
applications . . . . . . . . . . . . . . 421--464
Anonymous Index . . . . . . . . . . . . . . . . . 465--465
C. Brezinski Numerical Analysis 2000 Vol. II:
Interpolation and extrapolation . . . . ix--xi
C. Brezinski Convergence acceleration during the 20th
century . . . . . . . . . . . . . . . . 1--21
Mariano Gasca and
Thomas Sauer On the history of multivariate
polynomial interpolation . . . . . . . . 23--35
M. Gasca and
G. Mühlbach Elimination techniques: from
extrapolation to totally positive
matrices and CAGD . . . . . . . . . . . 37--50
P. R. Graves-Morris and
D. E. Roberts and
A. Salam The epsilon algorithm and related topics 51--80
Herbert H. H. Homeier Scalar Levin-type sequence
transformations . . . . . . . . . . . . 81--147
K. Jbilou and
H. Sadok Vector extrapolation methods.
Applications and numerical comparison 149--165
R. A. Lorentz Multivariate Hermite interpolation by
algebraic polynomials: a survey . . . . 167--201
G. Mühlbach Interpolation by Cauchy--Vandermonde
systems and applications . . . . . . . . 203--222
Naoki Osada The $E$-algorithm and the Ford--Sidi
algorithm . . . . . . . . . . . . . . . 223--230
M. Prévost Diophantine approximations using Padé
approximations . . . . . . . . . . . . . 231--250
Avram Sidi The generalized Richardson extrapolation
process $ {\rm GREP}^{(1)} $ and
computation of derivatives of limits of
sequences with applications to the $
d^{(1)}$-transformation . . . . . . . . 251--273
Vladimir Sorokin and
Jeannette Van Iseghem Matrix Hermite--Padé problem and
dynamical systems . . . . . . . . . . . 275--295
Thomas Strohmer Numerical analysis of the non-uniform
sampling problem . . . . . . . . . . . . 297--316
Guido Walz Asymptotic expansions for multivariate
polynomial approximation . . . . . . . . 317--328
Ernst Joachim Weniger Prediction properties of Aitken's
iterated $ \Delta^2 $ process, of Wynn's
epsilon algorithm, and of Brezinski's
iterated theta algorithm . . . . . . . . 329--356
Anonymous Index . . . . . . . . . . . . . . . . . 357--357
Anonymous Numerical Analysis 2000 Vol. III: Linear
Algebra . . . . . . . . . . . . . . . . ix--xii
Yousef Saad and
Henk A. van der Vorst Iterative solution of linear systems in
the 20th century . . . . . . . . . . . . 1--33
Gene H. Golub and
Henk A. van der Vorst Eigenvalue computation in the 20th
century . . . . . . . . . . . . . . . . 35--65
David S. Watkins $ Q R $-like algorithms for eigenvalue
problems . . . . . . . . . . . . . . . . 67--83
Charles F. Van Loan The ubiquitous Kronecker product . . . . 85--100
Ronald B. Morgan Preconditioning eigenvalues and some
comparison of solvers . . . . . . . . . 101--115
Beresford N. Parlett For tridiagonals $T$ replace $T$ with $
L D L^t $ . . . . . . . . . . . . . . . 117--130
Ilse C. F. Ipsen An overview of relative $ \sin \Theta $
theorems for invariant subspaces of
complex matrices . . . . . . . . . . . . 131--153
Ahmed Sameh and
Zhanye Tong The trace minimization method for the
symmetric generalized eigenvalue problem 155--175
A. Hadjidimos Successive overrelaxation (SOR) and
related methods . . . . . . . . . . . . 177--199
Andreas Frommer and
Daniel B. Szyld On asynchronous iterations . . . . . . . 201--216
D. Calvetti and
L. Reichel Iterative methods for large continuation
problems . . . . . . . . . . . . . . . . 217--240
C. Brezinski and
M. Redivo-Zaglia and
H. Sadok The matrix and polynomial approaches to
Lanczos-type algorithms . . . . . . . . 241--260
Michael Eiermann and
Oliver G. Ernst and
Olaf Schneider Analysis of acceleration strategies for
restarted minimal residual methods . . . 261--292
Robert Bridson and
Wei-Pai Tang Refining an approximate inverse . . . . 293--306
Joe Koning and
Garry Rodrigue and
Dan White Scalable preconditioned conjugate
gradient inversion of vector finite
element mass matrices . . . . . . . . . 307--321
Tony F. Chan and
W. L. Wan Robust multigrid methods for nonsmooth
coefficient elliptic linear systems . . 323--352
George Poole and
Larry Neal The Rook's pivoting strategy . . . . . . 353--369
Volker Mehrmann and
Hongguo Xu Numerical methods in control . . . . . . 371--394
Roland W. Freund Krylov-subspace methods for
reduced-order modeling in circuit
simulation . . . . . . . . . . . . . . . 395--421
D. Calvetti and
S. Morigi and
L. Reichel and
F. Sgallari Tikhonov regularization and the
$L$-curve for large discrete ill-posed
problems . . . . . . . . . . . . . . . . 423--446
Dianne P. O'Leary Symbiosis between linear algebra and
optimization . . . . . . . . . . . . . . 447--465
Robert J. Plemmons and
Victor P. Pauca Some computational problems arising in
adaptive optics imaging systems . . . . 467--487
Jack J. Dongarra and
Victor Eijkhout Numerical linear algebra algorithms and
software . . . . . . . . . . . . . . . . 489--514
Iain S. Duff The impact of high-performance computing
in the solution of linear systems:
trends and problems . . . . . . . . . . 515--530
Anonymous Index . . . . . . . . . . . . . . . . . 531--531
Layne T. Watson and
Michael Bartholomew-Biggs and
John Ford Numerical Analysis 2000: Vol. IV:
Optimization and Nonlinear Equations . . ix--x
Tetsuro Yamamoto Historical developments in convergence
analysis for Newton's and Newton-like
methods . . . . . . . . . . . . . . . . 1--23
A. Galántai The theory of Newton's method . . . . . 25--44
Stephen G. Nash A survey of truncated-Newton methods . . 45--59
Ladislav Luksan and
Emilio Spedicato Variable metric methods for
unconstrained optimization and nonlinear
least squares . . . . . . . . . . . . . 61--95
José Mario Martínez Practical quasi-Newton methods for
solving nonlinear systems . . . . . . . 97--121
Paul T. Boggs and
Jon W. Tolle Sequential quadratic programming for
large-scale nonlinear optimization . . . 123--137
José F. Rodríguez and
John E. Renaud and
Brett A. Wujek and
Ravindra V. Tappeta Trust region model management in
multidisciplinary design optimization 139--154
Emilio Spedicato and
Zunquan Xia and
Liwei Zhang ABS algorithms for linear equations and
optimization . . . . . . . . . . . . . . 155--170
Michael Bartholomew-Biggs and
Steven Brown and
Bruce Christianson and
Laurence Dixon Automatic differentiation of algorithms 171--190
Robert Michael Lewis and
Virginia Torczon and
Michael W. Trosset Direct search methods: then and now . . 191--207
Panos M. Pardalos and
H. Edwin Romeijn and
Hoang Tuy Recent developments and trends in global
optimization . . . . . . . . . . . . . . 209--228
Werner C. Rheinboldt Numerical continuation methods: a
perspective . . . . . . . . . . . . . . 229--244
Eugene L. Allgower and
Kurt Georg Piecewise linear methods for nonlinear
equations and optimization . . . . . . . 245--261
M. A. Wolfe Interval mathematics, algebraic
equations and optimization . . . . . . . 263--280
Florian A. Potra and
Stephen J. Wright Interior-point methods . . . . . . . . . 281--302
Stephen C. Billups and
Katta G. Murty Complementarity problems . . . . . . . . 303--318
Hanif D. Sherali and
Patrick J. Driscoll Evolution and state-of-the-art in
integer programming . . . . . . . . . . 319--340
Karla L. Hoffman Combinatorial optimization: Current
successes and directions for the future 341--360
R. W. H. Sargent Optimal control . . . . . . . . . . . . 361--371
Anonymous Index . . . . . . . . . . . . . . . . . 373--373
Christopher Baker and
Giovanni Monegato and
John Pryce and
Guido Vanden Berghe Preface: Numerical Analysis 2000: Vol.
VI: Ordinary Differential Equations and
Integral Equations . . . . . . . . . . . xi--xviii
J. C. Butcher Numerical methods for ordinary
differential equations in the 20th
century . . . . . . . . . . . . . . . . 1--29
L. F. Shampine and
Robert M. Corless Initial value problems for ODEs in
problem solving environments . . . . . . 31--40
N. Borovykh and
M. N. Spijker Resolvent conditions and bounds on the
powers of matrices, with relevance to
numerical stability of initial value
problems . . . . . . . . . . . . . . . . 41--56
W. Govaerts Numerical bifurcation analysis for ODEs 57--68
Arieh Iserles and
Antonella Zanna Preserving algebraic invariants with
Runge--Kutta methods . . . . . . . . . . 69--81
V. Antohe and
I. Gladwell Performance of two methods for solving
separable Hamiltonian systems . . . . . 83--92
Ernst Hairer and
Gerhard Wanner Order stars and stiff integrators . . . 93--105
G. Vanden Berghe and
H. De Meyer and
M. Van Daele and
T. Van Hecke Exponentially fitted Runge--Kutta
methods . . . . . . . . . . . . . . . . 107--115
J. R. Cash Modified extended backward
differentiation formulae for the
numerical solution of stiff initial
value problems in ODEs and DAEs . . . . 117--130
Shengtai Li and
Linda Petzold Software and algorithms for sensitivity
analysis of large-scale differential
algebraic systems . . . . . . . . . . . 131--145
John T. Betts and
Neil Biehn and
Stephen L. Campbell and
William P. Huffman Compensating for order variation in mesh
refinement for direct transcription
methods . . . . . . . . . . . . . . . . 147--158
W. H. Enright Continuous numerical methods for ODEs
with defect control . . . . . . . . . . 159--170
Kevin Burrage and
Pamela Burrage and
Taketomo Mitsui Numerical solutions of stochastic
differential equations ---
implementation and stability issues . . 171--182
Gennadii A. Bocharov and
Fathalla A. Rihan Numerical modelling in biosciences using
delay differential equations . . . . . . 183--199
John Norbury and
R. Eddie Wilson Dynamics of constrained differential
delay equations . . . . . . . . . . . . 201--215
Christopher T. H. Baker A perspective on the numerical treatment
of Volterra equations . . . . . . . . . 217--249
Alfredo Bellen and
Nicola Guglielmi and
Marino Zennaro Numerical stability of nonlinear delay
differential equations of neutral type 251--263
Koen Engelborghs and
Tatyana Luzyanina and
Dirk Roose Numerical bifurcation analysis of delay
differential equations . . . . . . . . . 265--275
Neville J. Ford and
Volker Wulf How do numerical methods perform for
delay differential equations undergoing
a Hopf bifurcation? . . . . . . . . . . 277--285
Christopher A. H. Paul Designing efficient software for solving
delay differential equations . . . . . . 287--295
Evelyn Buckwar Introduction to the numerical analysis
of stochastic delay differential
equations . . . . . . . . . . . . . . . 297--307
Christopher T. H. Baker Retarded differential equations . . . . 309--335
Simon Shaw and
J. R. Whiteman Adaptive space-time finite element
solution for Volterra equations arising
in viscoelasticity problems . . . . . . 337--345
L. Gr. Ixaru CP methods for the Schrödinger equation 347--357
Alan L. Andrew Asymptotic correction of Numerov's
eigenvalue estimates with natural
boundary conditions . . . . . . . . . . 359--366
Leon Greenberg and
Marco Marletta Numerical methods for higher order
Sturm--Liouville problems . . . . . . . 367--383
B. M. Brown and
D. K. R. McCormack and
A. Zettl On a computer assisted proof of the
existence of eigenvalues below the
essential spectrum of the
Sturm--Liouville problem . . . . . . . . 385--393
Peter Junghanns and
Bernd Silbermann Numerical analysis for one-dimensional
Cauchy singular integral equations . . . 395--421
J. Elschner and
I. G. Graham Numerical methods for integral equations
of Mellin type . . . . . . . . . . . . . 423--437
A. Rathsfeld Quadrature methods for $2$D and $3$D
problems . . . . . . . . . . . . . . . . 439--460
Ian H. Sloan Qualocation . . . . . . . . . . . . . . 461--478
W. Hackbusch and
B. N. Khoromskij A sparse $H$-matrix arithmetic: general
complexity estimates . . . . . . . . . . 479--501
Ernst P. Stephan Multilevel methods for the $h$-, $p$-,
and $ h p$-versions of the boundary
element method . . . . . . . . . . . . . 503--519
G. C. Hsiao and
O. Steinbach and
W. L. Wendland Domain decomposition methods via
boundary integral equations . . . . . . 521--537
Anonymous Index . . . . . . . . . . . . . . . . . 539--540
J. Koekoek and
R. Koekoek Differential equations for generalized
Jacobi polynomials . . . . . . . . . . . 1--31
Krystyna Sty\'s and
Tadeusz Sty\'s A higher-order finite difference method
for solving a system of
integro-differential equations . . . . . 33--46
John P. Coleman and
Suzanne C. Duxbury Mixed collocation methods for $ y'' =
f(x, y) $ . . . . . . . . . . . . . . . 47--75
M. Iqbal On photon correlation measurements of
colloidal size distributions using
Bayesian strategies . . . . . . . . . . 77--89
Xiao-liang Cheng and
Weimin Han and
Hong-ci Huang Some mixed finite element methods for
biharmonic equation . . . . . . . . . . 91--109
Wang Peiguang and
Feng Chunhua Oscillation of parabolic equations of
neutral type . . . . . . . . . . . . . . 111--120
Aiguo Xiao and
Shoufu Li and
Hongyuan Fu and
Guangnan Chen Extending convergence of BDF methods for
a class of nonlinear strongly stiff
problems . . . . . . . . . . . . . . . . 121--130
M. A. Hernández and
M. A. Salanova Modification of the Kantorovich
assumptions for semilocal convergence of
the Chebyshev method . . . . . . . . . . 131--143
Han Guoqiang and
Wang Jiong and
Ken Hayami and
Xu Yuesheng Correction method and extrapolation
method for singular two-point boundary
value problems . . . . . . . . . . . . . 145--157
Oleg Davydov and
Günther Nürnberger Interpolation by $ C^1 $ splines of
degree $ q \geq 4 $ on triangulations 159--183
B. S. Mazumder and
D. C. Dalal Contaminant dispersion from an elevated
time-dependent source . . . . . . . . . 185--205
Philsu Kim and
U. Jin Choi A quadrature rule of interpolatory type
for Cauchy integrals . . . . . . . . . . 207--220
Philsu Kim and
U. Jin Choi A quadrature rule for weighted Cauchy
integrals . . . . . . . . . . . . . . . 221--232
F. J. Vermolen and
C. Vuik A mathematical model for the dissolution
of particles in multi-component alloys 233--254
Sergio Alonso and
Concepción González-Concepción Linear approximation in the discrete
frequency domain . . . . . . . . . . . . 255--267
Ishtiaq Rasool Khan and
Ryoji Ohba New finite difference formulas for
numerical differentiation . . . . . . . 269--276
Jian-Guo Si and
Xin-Ping Wang Analytic solutions of a second-order
iterative functional differential
equation . . . . . . . . . . . . . . . . 277--285
Bahman Kalantari Generalization of Taylor's theorem and
Newton's method via a new family of
determinantal interpolation formulas and
its applications . . . . . . . . . . . . 287--318
Daoqi Yang Improved error estimation of dynamic
finite element methods for second-order
parabolic equations . . . . . . . . . . 319--338
Chin-Yuan Lin Quasilinear parabolic equations with
nonlinear boundary conditions . . . . . 339--349
J. Chavarriga and
J. Giné and
I. A. García Isochronous centers of a linear center
perturbed by fifth degree homogeneous
polynomials . . . . . . . . . . . . . . 351--368
Luca Gemignani Computing a Hurwitz factorization of a
polynomial . . . . . . . . . . . . . . . 369--380
J. G. Blom and
J. G. Verwer A comparison of integration methods for
atmospheric transport-chemistry problems 381--396
Zdenek Dostál and
Francisco A. M. Gomes Neto and
Sandra A. Santos Duality-based domain decomposition with
natural coarse-space for variational
inequalities . . . . . . . . . . . . . . 397--415
Yimin Wei and
Hebing Wu The representation and approximation for
Drazin inverse . . . . . . . . . . . . . 417--432
L. J. Alvarez-Vázquez and
J. M. Viaño Asymptotic modelling of a nonsymmetric
beam . . . . . . . . . . . . . . . . . . 433--447
W. Becken and
P. Schmelcher The analytic continuation of the
Gaussian hypergeometric function $_2 F_1
(a, b; c; z)$ for arbitrary parameters 449--478
Anonymous Index . . . . . . . . . . . . . . . . . 479--480
Anonymous Conference . . . . . . . . . . . . . . . N1--N9
Anonymous Filler Science Direct . . . . . . . . . I
Anonymous Filler Contents Direct . . . . . . . . . II
Anonymous Contents . . . . . . . . . . . . . . . . vii--viii
Walter Gautschi and
Francisco Marcellán and
Lothar Reichel Preface . . . . . . . . . . . . . . . . ix--xi
G. S. Ammar and
D. Calvetti and
W. B. Gragg and
L. Reichel Polynomial zerofinders based on Szeg\Ho
polynomials . . . . . . . . . . . . . . 1--16
Bernhard Beckermann Complex Jacobi matrices . . . . . . . . 17--65
A. Bultheel and
P. González-Vera and
E. Hendriksen and
Olav Njåstad Quadrature and orthogonal rational
functions . . . . . . . . . . . . . . . 67--91
D. Calvetti and
S. Morigi and
L. Reichel and
F. Sgallari An iterative method with error
estimators . . . . . . . . . . . . . . . 93--119
R. Cools and
I. P. Mysovskikh and
H. J. Schmid Cubature formulae and orthogonal
polynomials . . . . . . . . . . . . . . 121--152
Sven Ehrich Stopping functionals for Gaussian
quadrature formulas . . . . . . . . . . 153--171
Roland W. Freund Computation of matrix-valued formally
orthogonal polynomials and applications 173--199
Dirk P. Laurie Computation of Gauss-type quadrature
formulas . . . . . . . . . . . . . . . . 201--217
G. López Lagomasino and
H. Pijeira Cabrera and
I. Pérez Izquierdo Sobolev orthogonal polynomials in the
complex plane . . . . . . . . . . . . . 219--230
Francisco Marcellán and
Renato Álvarez-Nodarse On the ``Favard theorem'' and its
extensions . . . . . . . . . . . . . . . 231--254
A. Martínez-Finkelshtein Analytic aspects of Sobolev orthogonal
polynomials revisited . . . . . . . . . 255--266
Gradimir V. Milovanovi\'c Quadratures with multiple nodes, power
orthogonality, and moment-preserving
spline approximation . . . . . . . . . . 267--286
Masatake Mori and
Masaaki Sugihara The double-exponential transformation in
numerical analysis . . . . . . . . . . . 287--296
Franz Peherstorfer and
Robert Steinbauer Orthogonal and $ L_q $-extremal
polynomials on inverse images of
polynomial mappings . . . . . . . . . . 297--315
Walter Van Assche and
Els Coussement Some classical multiple orthogonal
polynomials . . . . . . . . . . . . . . 317--347
Yuan Xu Orthogonal polynomials and cubature
formulae on balls, simplices, and
spheres . . . . . . . . . . . . . . . . 349--368
Anonymous Author Index Volume 127 (2001) . . . . . 369--369
Anonymous Contents . . . . . . . . . . . . . . . . vii--viii
Anonymous Numerical Analysis 2000: Vol. VII:
Partial Differential Equations . . . . . ix--xi
Vidar Thomée From finite differences to finite
elements: a short history of numerical
analysis of partial differential
equations . . . . . . . . . . . . . . . 1--54
B. Bialecki and
G. Fairweather Orthogonal spline collocation methods
for partial differential equations . . . 55--82
D. Gottlieb and
J. S. Hesthaven Spectral methods for hyperbolic problems 83--131
Wolfgang Dahmen Wavelet methods for PDEs --- some recent
developments . . . . . . . . . . . . . . 133--185
Bernardo Cockburn Devising discontinuous Galerkin methods
for non-linear hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 187--204
R. Rannacher Adaptive Galerkin finite element methods
for partial differential equations . . . 205--233
Manil Suri The $p$ and $ h p$ finite element method
for problems on thin domains . . . . . . 235--260
David Silvester and
Howard Elman and
David Kay and
Andrew Wathen Efficient preconditioning of the
linearized Navier--Stokes equations for
incompressible flow . . . . . . . . . . 261--279
K. Stüben A review of algebraic multigrid . . . . 281--309
P. Wesseling and
C. W. Oosterlee Geometric multigrid with applications to
computational fluid dynamics . . . . . . 311--334
Jinchao Xu The method of subspace corrections . . . 335--362
M. J. Baines Moving finite element, least squares,
and finite volume approximations of
steady and time-dependent PDEs in
multidimensions . . . . . . . . . . . . 363--381
Weizhang Huang and
Robert D. Russell Adaptive mesh movement --- the MMPDE
approach and its applications . . . . . 383--398
C. J. Budd and
M. D. Piggott The geometric integration of
scale-invariant ordinary and partial
differential equations . . . . . . . . . 399--422
Richard E. Ewing and
Hong Wang A summary of numerical methods for
time-dependent advection-dominated
partial differential equations . . . . . 423--445
P. J. van der Houwen and
B. P. Sommeijer Approximate factorization for
time-dependent partial differential
equations . . . . . . . . . . . . . . . 447--466
Anonymous Authors Index to Volume 128 (2001) . . . 467--467
Liqun Qi and
Jianzhong Zhang Preface . . . . . . . . . . . . . . . . ix--ix
Ma Xiaofang and
Fung Richard Ying Kit and
Xu Chengxian Stable factorized quasi-Newton methods
for nonlinear least-squares problems . . 1--14
Dong-Hui Li and
Masao Fukushima A modified BFGS method and its global
convergence in nonconvex minimization 15--35
Defeng Sun and
Liqun Qi Solving variational inequality problems
via smoothing-nonsmooth reformulations 37--62
J. Sun Solving the discrete $
l_p$-approximation problem by a method
of centers . . . . . . . . . . . . . . . 63--76
Stanislaw Migórski On existence of solutions for parabolic
hemivariational inequalities . . . . . . 77--87
Shu-Cherng Fang and
Chih-Jen Lin and
Soon-Yi Wu Solving quadratic semi-infinite
programming problems by using relaxed
cutting-plane scheme . . . . . . . . . . 89--104
Karen K. Lau and
Robert S. Womersley Multistage quadratic stochastic
programming . . . . . . . . . . . . . . 105--138
Li Gao Numerical algorithms for nonlinear $ L_p
$-norm problem and its extreme case . . 139--150
Chuangyin Dang and
Hans van Maaren Computing an integer point of a simplex
with an arbitrary starting homotopy-like
simplicial algorithm . . . . . . . . . . 151--170
Lai-Jiu Lin and
Zenn-Tsuen Yu On some equilibrium problems for
multimaps . . . . . . . . . . . . . . . 171--183
Cheng-Feng Hu Solving fuzzy variational inequalities
over a compact set . . . . . . . . . . . 185--193
Naihua Xiu and
Jianzhong Zhang A smoothing Gauss--Newton method for the
generalized HLCP . . . . . . . . . . . . 195--208
Anonymous Authors Index Volume 129 (2001) . . . . 209--209
Costanza Conti and
Rossana Morandi The bidimensional interproximation
problem and mixed splines . . . . . . . 1--16
Marco Dall'Aglio The Dubins--Spanier optimization problem
in fair division theory . . . . . . . . 17--40
Ahmed-Salah Chibi Defect correction and domain
decomposition for second-order boundary
value problems . . . . . . . . . . . . . 41--51
Michael Cramer and
Ludger Rüschendorf Convergence of two-dimensional branching
recursions . . . . . . . . . . . . . . . 53--73
Gamal N. Elnagar and
Mohammad A. Kazemi Numerical solution of time-delayed
functional differential equation control
systems . . . . . . . . . . . . . . . . 75--90
Pablo Martín and
Amelia García and
David J. López Modified Taylor approximation of
functions with periodic behaviour . . . 91--97
Yousef Saad and
Jun Zhang Enhanced multi-level block ILU
preconditioning strategies for general
sparse linear systems . . . . . . . . . 99--118
Rudolf Wegmann Fast conformal mapping of multiply
connected regions . . . . . . . . . . . 119--138
Rudolf Wegmann Constructive solution of a certain class
of Riemann--Hilbert problems on multiply
connected circular regions . . . . . . . 139--161
Ivanka M. Stamova and
Gani T. Stamov Lyapunov--Razumikhin method for
impulsive functional differential
equations and applications to the
population dynamics . . . . . . . . . . 163--171
M. S. Abou-Dina Nonlinear transient gravity waves due to
an initial free-surface elevation over a
topography . . . . . . . . . . . . . . . 173--195
Bahman Kalantari and
Seungyoung Park A computational comparison of the first
nine members of a determinantal family
of root-finding methods . . . . . . . . 197--204
Walter J. H. Stortelder and
Jacques J. B. de Swart and
János D. Pintér Finding elliptic Fekete points sets: two
numerical solution approaches . . . . . 205--216
Yongzhong Song Semiconvergence of block SOR method for
singular linear systems with $p$-cyclic
matrices . . . . . . . . . . . . . . . . 217--229
H. MacMullen and
J. J. H. Miller and
E. O'Riordan and
G. I. Shishkin A second-order parameter-uniform
overlapping Schwarz method for
reaction--diffusion problems with
boundary layers . . . . . . . . . . . . 231--244
Xin-she Yang Density-driven compactional flow in
porous media . . . . . . . . . . . . . . 245--257
Takuya Ooura A continuous Euler transformation and
its application to the Fourier transform
of a slowly decaying function . . . . . 259--270
Xiaoqun Wang On generalized invariant cubature
formulae . . . . . . . . . . . . . . . . 271--281
Kamel Al-Khaled Sinc numerical solution for solitons and
solitary waves . . . . . . . . . . . . . 283--292
Fangyu Sun and
Peter Kosmol A new simultaneous method of fourth
order for finding complex zeros in
circular interval arithmetic . . . . . . 293--307
S. H. Lui On accelerated convergence of
nonoverlapping Schwarz methods . . . . . 309--321
Mario Durán and
Marcela Miguez and
Jean-Claude Nédélec Numerical stability in the calculation
of eigenfrequencies using integral
equations . . . . . . . . . . . . . . . 323--336
George Boros and
Victor H. Moll The double square root, Jacobi
polynomials and Ramanujan's Master
Theorem . . . . . . . . . . . . . . . . 337--344
C.-S. Chien and
Y. S. Liao Multiple bifurcations generated by mode
interactions in a reaction--diffusion
problem . . . . . . . . . . . . . . . . 345--368
I. K. Argyros A new semilocal convergence theorem for
Newton's method in Banach space using
hypotheses on the second
Fréchet-derivative . . . . . . . . . . . 369--373
Mark J. Kaiser Generalized intersection and projection
bodies . . . . . . . . . . . . . . . . . 375--384
Ishtiaq Rasool Khan and
Ryoji Ohba Corrigendum to: ``Closed-form
expressions for the finite difference
approximations of first and higher
derivatives based on Taylor series'' [J.
Comput. Appl. Math. \bf 107 (1999)
179--193] . . . . . . . . . . . . . . . 385--385
Anonymous Authors Index Volume 130 (2001) . . . . 387--388
Anonymous Authors Index Volumes 121--130 (2001) 389--402
Anonymous Subject Index Volumes 121--130 (2001) 403--420
Jin-Ping Zeng and
Dong-Hui Li and
Masao Fukushima Weighted max-norm estimate of additive
Schwarz iteration scheme for solving
linear complementarity problems . . . . 1--14
T. Kärkkäinen and
J. Toivanen Building blocks for odd-even multigrid
with applications to reduced systems . . 15--33
Christian Gout and
Allal Guessab A new family of extended Gauss
quadratures with an interior interval
constraint . . . . . . . . . . . . . . . 35--53
Zhiguo Luo and
Jianhua Shen Stability results for impulsive
functional differential equations with
infinite delays . . . . . . . . . . . . 55--64
Hamsapriye A new quadrature rule based on a
generalized mixed interpolation formula
of exponential type . . . . . . . . . . 65--88
Zbigniew I. Wo\'znicki and
Henryk A. Jedrzejec A new class of modified line-SOR
algorithms . . . . . . . . . . . . . . . 89--142
A. F. Beardon Worpitzky's Theorem on continued
fractions . . . . . . . . . . . . . . . 143--148
Ioannis K. Argyros A Newton--Kantorovich theorem for
equations involving $m$-Fréchet
differentiable operators and
applications in radiative transfer . . . 149--159
Yoshimasa Nakamura Algorithms associated with arithmetic,
geometric and harmonic means and
integrable systems . . . . . . . . . . . 161--174
Ian Knowles Parameter identification for elliptic
problems . . . . . . . . . . . . . . . . 175--194
C. B. Collins The role of Bell polynomials in
integration . . . . . . . . . . . . . . 195--222
Peter R. Johnston and
David Elliott A generalisation of Telles' method for
evaluating weakly singular boundary
element integrals . . . . . . . . . . . 223--241
K. A. Driver and
A. D. Love Zeros of $_3 F_2$ hypergeometric
polynomials . . . . . . . . . . . . . . 243--251
Luc Vinet and
Alexei Zhedanov Spectral transformations of the Laurent
biorthogonal polynomials. I. $q$-Appel
polynomials . . . . . . . . . . . . . . 253--266
M. Ganesh and
O. Steinbach The numerical solution of a nonlinear
hypersingular boundary integral equation 267--280
M. C. López de Silanes and
M. C. Parra and
M. Pasadas and
J. J. Torrens Spline approximation of discontinuous
multivariate functions from scattered
data . . . . . . . . . . . . . . . . . . 281--298
David G. Costa and
Zhonghai Ding and
John M. Neuberger A numerical investigation of
sign-changing solutions to superlinear
elliptic equations on symmetric domains 299--319
C. Dagnino and
P. Lamberti On the approximation power of bivariate
quadratic $ C^1 $ splines . . . . . . . 321--332
J. W. Luo and
D. D. Bainov Oscillatory and asymptotic behavior of
second-order neutral difference
equations with maxima . . . . . . . . . 333--341
Li-Zhi Liao and
Houduo Qi and
Liqun Qi Solving nonlinear complementarity
problems with neural networks: a
reformulation method approach . . . . . 343--359
I. Moret and
P. Novati An interpolatory approximation of the
matrix exponential based on Faber
polynomials . . . . . . . . . . . . . . 361--380
G. Beckett and
J. A. Mackenzie On a uniformly accurate finite
difference approximation of a singularly
perturbed reaction--diffusion problem
using grid equidistribution . . . . . . 381--405
Kevin Burrage and
Tianhai Tian The composite Euler method for stiff
stochastic differential equations . . . 407--426
Dan I. Coroian and
Peter Dragnev Constrained Leja points and the
numerical solution of the constrained
energy problem . . . . . . . . . . . . . 427--444
Xian-yao Chen and
Chang-jun Cheng Reconstruction of relaxation modulus for
viscoelastic medium with complete data 445--456
C. Suárez About semiclassical orthogonal
polynomials of the class (2,2) . . . . . 457--472
Willi Schönauer and
Torsten Adolph How We solve PDEs . . . . . . . . . . . 473--492
Ulf T. Ehrenmark A note on a recent study of oscillatory
integration rules . . . . . . . . . . . 493--496
J. Karátson and
P. L. Simon On the stability properties of
nonnegative solutions of semilinear
problems with convex or concave
nonlinearity . . . . . . . . . . . . . . 497--501
A. A. Samoletov A sum containing factorials . . . . . . 503--504
G. Belforte and
P. Gay and
G. Monegato Erratum to: ``Some new properties of
Chebyshev polynomials'' [J. Comput.
Appl. Math. \bf 117 (2000) 175--181] . . 505--505
Anonymous Authors Index Volume 131 (2001) . . . . 507--508
Adhemar Bultheel and
Dirk Roose Preface . . . . . . . . . . . . . . . . ix--x
Adhemar Bultheel and
Leyla Daruis and
Pablo González-Vera A connection between quadrature formulas
on the unit circle and the interval
[-1,1] . . . . . . . . . . . . . . . . . 1--14
Ronald Cools and
K. J. Kim Rotation invariant cubature formulas
over the $n$-dimensional unit cube . . . 15--32
Pierre Verlinden The sparse structure of high-dimensional
integrands . . . . . . . . . . . . . . . 33--49
B. De Baets and
H. De Meyer and
H. Naessens A class of rational cardinality-based
similarity measures . . . . . . . . . . 51--69
Nicola Mastronardi and
Daniel Kressner and
Vasile Sima and
Paul Van Dooren and
Sabine Van Huffel A fast algorithm for subspace
state-space system identification via
exploitation of the displacement
structure . . . . . . . . . . . . . . . 71--81
L. Gr. Ixaru and
M. Rizea and
G. Vanden Berghe and
H. De Meyer Weights of the exponential fitting
multistep algorithms for first-order
ODEs . . . . . . . . . . . . . . . . . . 83--93
G. Vanden Berghe and
L. Gr. Ixaru and
H. De Meyer Frequency determination and step-length
control for exponentially-fitted
Runge--Kutta methods . . . . . . . . . . 95--105
T. Van Hecke and
M. Van Daele High-order convergent deferred
correction schemes based on
parameterized Runge--Kutta--Nyström
methods for second-order boundary value
problems . . . . . . . . . . . . . . . . 107--125
W. Michiels and
D. Roose Sensitivity to perturbations in variable
structure systems . . . . . . . . . . . 127--140
Hennie De Schepper Finite element analysis of a coupling
eigenvalue problem on overlapping
domains . . . . . . . . . . . . . . . . 141--153
P. P. N. de Groen and
G. E. Karadzhov Slow travelling waves on a finite
interval for Burgers'-type equations . . 155--189
J. G. Verwer and
B. P. Sommeijer A numerical study of mixed
parabolic-gradient systems . . . . . . . 191--210
G. Lube and
L. Müller and
F. C. Otto A nonoverlapping domain decomposition
method for stabilized finite element
approximations of the Oseen equations 211--236
P. Kravanja and
P. Verlinden On the zeros of $ J_n(z) \pm i J_{n +
1}(z) $ and $ [J_{n + 1}(z)]^2 - J_n(z)
J_{n + 2}(z) $ . . . . . . . . . . . . . 237--245
Lingbin Kong and
Shoutian Wang and
Junyu Wang Positive solution of a singular
nonlinear third-order periodic boundary
value problem . . . . . . . . . . . . . 247--253
Takuya Tsuchiya Finite element analysis for parametrized
nonlinear equations around turning
points . . . . . . . . . . . . . . . . . 255--276
Lishang Jiang and
Xingye Yue Local exponentially fitted finite
element schemes for singularly perturbed
convection--diffusion problems . . . . . 277--293
Kazufumi Ito and
Jun Zou Identification of some source densities
of the distribution type . . . . . . . . 295--308
Xiaoqun Wang Variance reduction techniques and
quasi-Monte Carlo methods . . . . . . . 309--318
Xian-Hua Tang and
Sui Sun Cheng An oscillation criterion for linear
difference equations with oscillating
coefficients . . . . . . . . . . . . . . 319--329
Thomas G. Wright and
Lloyd N. Trefethen Computing Lyapunov constants for random
recurrences with smooth coefficients . . 331--340
F. Merdivenci Atici and
G. Sh. Guseinov On the existence of positive solutions
for nonlinear differential equations
with periodic boundary conditions . . . 341--356
S. B. Damelin and
H. S. Jung and
K. H. Kwon Necessary conditions for weighted mean
convergence of Lagrange interpolation
for exponential weights . . . . . . . . 357--369
Gabriel N. Gatica and
Norbert Heuer An expanded mixed finite element
approach via a dual-dual formulation and
the minimum residual method . . . . . . 371--385
L. J. Landau and
N. J. Luswili Asymptotic expansion of a Bessel
function integral using hypergeometric
functions . . . . . . . . . . . . . . . 387--397
S. G. Hristova and
G. K. Kulev Quasilinearization of a boundary value
problem for impulsive differential
equations . . . . . . . . . . . . . . . 399--407
G. V. Liakhovetski and
R. B. Paris Asymptotic expansions of Laplace-type
integrals. III . . . . . . . . . . . . . 409--429
Weizhong Dai and
Raja Nassar A compact finite-difference scheme for
solving a one-dimensional heat transport
equation at the microscale . . . . . . . 431--441
P. Ghelardoni and
G. Gheri and
M. Marletta Spectral corrections for
Sturm--Liouville problems . . . . . . . 443--459
D. J. Evans and
M. M. Martins and
M. E. Trigo The AOR iterative method for new
preconditioned linear systems . . . . . 461--466
Alan Beardon and
Lisa Lorentzen Approximants of
\'Sleszy\'nski--Pringsheim continued
fractions . . . . . . . . . . . . . . . 467--477
Shu Tang Liu and
Yong Qing Liu Oscillation theorems for second-order
nonlinear partial difference equations 479--482
Anonymous Authors Index Volume 132 (2001) . . . . 483--484
Panayiotis D. Siafarikas Preface . . . . . . . . . . . . . . . . xiii--xiv
Anonymous List of talks presented at the
conference . . . . . . . . . . . . . . . xv--xviii
Anonymous List of registered participants . . . . xix--xxvii
R. Askey and
M. E. H. Ismail and
W. Van Assche Ted Chihara and his work on orthogonal
polynomials . . . . . . . . . . . . . . 1--11
T. S. Chihara 45 years of orthogonal polynomials: a
view from the wings . . . . . . . . . . 13--21
Jesús S. Dehesa and
Andrei Martínez-Finkelshtdein and
Jorge Sánchez-Ruiz Quantum information entropies and
orthogonal polynomials . . . . . . . . . 23--46
P. Deift and
T. Kriecherbauer and
K. T.-R. McLaughlin and
S. Venakides and
X. Zhou A Riemann--Hilbert approach to
asymptotic questions for orthogonal
polynomials . . . . . . . . . . . . . . 47--63
Á. Elbert Some recent results on the zeros of
Bessel functions and orthogonal
polynomials . . . . . . . . . . . . . . 65--83
W. N. Everitt and
K. H. Kwon and
L. L. Littlejohn and
R. Wellman Orthogonal polynomial solutions of
linear ordinary differential equations 85--109
Walter Gautschi The use of rational functions in
numerical quadrature . . . . . . . . . . 111--126
A. B. J. Kuijlaars Asymptotic analysis of the density of
states in random matrix models
associated with a slowly decaying weight 127--140
Manuel Alfaro and
Juan J. Moreno-Balcázar and
Teresa E. Pérez and
Miguel A. Piñar and
M. Luisa Rezola Asymptotics of Sobolev orthogonal
polynomials for Hermite coherent pairs 141--150
I. Area and
E. Godoy and
A. Ronveaux and
A. Zarzo Solving connection and linearization
problems within the Askey scheme and its
$q$-analogue via inversion formulas . . 151--162
N. B. Backhouse Resonant equations and special functions 163--169
D. Barrios Rolanía and
G. López Lagomasino and
E. B. Saff Asymptotics of orthogonal polynomials
inside the unit circle and Szeg\Ho--Padé
approximants . . . . . . . . . . . . . . 171--181
H. Bavinck Differential operators having
Sobolev-type Laguerre polynomials as
eigenfunctions: new developments . . . . 183--193
S. Belmehdi Generalized Gegenbauer orthogonal
polynomials . . . . . . . . . . . . . . 195--205
Youss\`ef Ben Cheikh On some $ (n - 1)$-symmetric linear
functionals . . . . . . . . . . . . . . 207--218
Christian Berg and
Henrik L. Pedersen A completely monotone function related
to the Gamma function . . . . . . . . . 219--230
E. Berriochoa and
A. Cachafeiro and
F. Marcellán Differential properties for Sobolev
orthogonality on the unit circle . . . . 231--239
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Determinacy of a rational moment problem 241--252
Els Coussement and
Walter Van Assche Some properties of multiple orthogonal
polynomials associated with Macdonald
functions . . . . . . . . . . . . . . . 253--261
Azza Dachraoui Weyl--Bessel transforms . . . . . . . . 263--276
S. B. Damelin and
H. S. Jung and
K. H. Kwon A note on mean convergence of Lagrange
interpolation in $ L_p $, $ (0 < p \leq
1) $ . . . . . . . . . . . . . . . . . . 277--282
G. Dassios and
P. Vafeas Connection formulae for differential
representations in Stokes flow . . . . . 283--294
Marcel G. de Bruin and
A. Sharma Birkhoff interpolation on nonuniformly
distributed roots of unity II . . . . . 295--303
J. de Graaf Evolution equations for polynomials and
rational functions which are conformal
on the unit disk . . . . . . . . . . . . 305--314
C. Díaz-Mendoza and
P. González-Vera and
R. Orive Padé approximants and quadratures related
to certain strong distributions . . . . 315--329
Dimitar K. Dimitrov Connection coefficients and zeros of
orthogonal polynomials . . . . . . . . . 331--340
Demosthenes Ellinas Quantum diffusions and Appell systems 341--353
M. Foupouagnigni and
A. Ronveaux Fourth-order difference equation
satisfied by the co-recursive of
$q$-classical orthogonal polynomials . . 355--365
Adelina Georgescu and
Bogdan Nicolescu and
Nicolae Popa and
Mircea Bolosteanu On special solutions of the Reynolds
equation from lubrication . . . . . . . 367--372
Adelina Georgescu and
Harry Vereecken and
Holger Schwarze and
Uwe Jaekel Classes of solutions for a nonlinear
diffusion PDE . . . . . . . . . . . . . 373--381
Jacek Gilewicz and
Peter A. Shulimanov A new lower bound for a rational
approximation on the positive real axis 383--385
C. Giordano and
A. Laforgia Inequalities and monotonicity properties
for the gamma function . . . . . . . . . 387--396
F. Alberto Grünbaum Electrostatic interpretation for the
zeros of certain polynomials and the
Darboux process . . . . . . . . . . . . 397--412
E. K. Ifantis and
P. N. Panagopoulos Limit points of eigenvalues of truncated
tridiagonal operators . . . . . . . . . 413--422
Katarzyna Kiepiela and
Monika Pietrzyk and
Jan Szynal Meixner polynomials and nonvanishing
holomorphic functions . . . . . . . . . 423--428
D. G. Kubayi Bounds for weighted Lebesgue functions
for exponential weights . . . . . . . . 429--443
K. H. Kwon and
D. W. Lee Error estimates of Lagrange
interpolation and orthonormal expansions
for Freud weights . . . . . . . . . . . 445--454
A. Kyriakoussis and
M. G. Vamvakari Asymptotic normality of the coefficients
of polynomials associated with the
Gegenbauer ones . . . . . . . . . . . . 455--463
Jean Letessier Fourth-order difference equation for
co-recursive associated Meixner and
Charlier polynomials . . . . . . . . . . 465--476
Andrei Martínez-Finkelshtein and
Pedro Martínez-González and
Ramón Orive On asymptotic zero distribution of
Laguerre and generalized Bessel
polynomials with varying parameters . . 477--487
M. Michalska and
J. Szynal A new bound for the Laguerre polynomials 489--493
Pierpaolo Natalini and
Paolo Emilio Ricci Computation of Newton sum rules for
associated and co-recursive classical
orthogonal polynomials . . . . . . . . . 495--505
Sotirios E. Notaris Interpolatory quadrature formulae with
Chebyshev abscissae . . . . . . . . . . 507--517
Franz Peherstorfer On Toda lattices and orthogonal
polynomials . . . . . . . . . . . . . . 519--534
Vigdis Petersen Modification of a method using Szeg\Ho
polynomials in frequency analysis: the
$V$-process . . . . . . . . . . . . . . 535--544
V. P. Plagianakos and
N. K. Nousis and
M. N. Vrahatis Locating and computing in parallel all
the simple roots of special functions
using PVM . . . . . . . . . . . . . . . 545--554
Denys Pommeret $K$ terms recurrence relations and
polynomial variance functions of the $K$
th degree . . . . . . . . . . . . . . . 555--565
L. Rebillard and
A. Ronveaux Expansion of multivariate polynomials in
products of univariate orthogonal
polynomials: discrete case . . . . . . . 567--578
Jorge Sánchez-Ruiz and
Jesús S. Dehesa Some connection and linearization
problems for polynomials in and beyond
the Askey scheme . . . . . . . . . . . . 579--591
Wim Schoutens An application in stochastics of the
Laguerre-type polynomials . . . . . . . 593--600
L. K. Stergioulas and
V. S. Vassiliadis and
A. Vourdas Optimal bases of Gaussians in a Hilbert
space: applications in mathematical
signal analysis . . . . . . . . . . . . 601--609
Franciszek Hugon Szafraniec On matrix integration of matrix
polynomials . . . . . . . . . . . . . . 611--621
N. M. Temme and
J. L. López The Askey scheme for hypergeometric
orthogonal polynomials viewed from
asymptotic analysis . . . . . . . . . . 623--633
P. Van Gucht and
A. Bultheelf Bernstein equiconvergence and Fejér-type
theorems for general rational Fourier
series . . . . . . . . . . . . . . . . . 635--645
Luc Vinet and
Oksana Yermolayeva and
Alexei Zhedanov A method to study the Krall and
$q$-Krall polynomials . . . . . . . . . 647--656
A. Vourdas Quantum systems with finite Hilbert
space and Chebyshev polynomials . . . . 657--664
A. Wünsche Hermite and Laguerre $2$D polynomials 665--678
Martin Muldoon Open problems . . . . . . . . . . . . . 679--679
T. S. Chihara Shell polynomials and indeterminate
moment problems . . . . . . . . . . . . 680--681
T. S. Chihara Convergent sequences of orthogonal
polynomials . . . . . . . . . . . . . . 682--682
Árpád Elbert and
Andrea Laforgia A conjecture on the zeros of Bessel
functions . . . . . . . . . . . . . . . 683--683
Árpád Elbert and
Andrea Laforgia and
Panayiotis Siafarikas A conjecture on the zeros of
ultraspherical polynomials . . . . . . . 684--684
Dimitar K. Dimitrov Comment . . . . . . . . . . . . . . . . 685--686
Jacek Gilewicz Zeros of Froissart polynomials . . . . . 687--687
E. K. Ifantis On the spectral measure of a class of
orthogonal polynomials . . . . . . . . . 688--689
Arno Kuijlaars Problems related to slowly decaying
weights . . . . . . . . . . . . . . . . 690--691
Guillermo López Lagomasino A generalization of Hadamard's Theorem 692--693
Wojciech Mlotkowski A class of probability measures . . . . 694--694
André Ronveaux Asymptotics for recurrence coefficients
in the generalized Meixner case . . . . 695--696
P. D. Siafarikas Finding a measure of orthogonality . . . 697--697
Walter Van Assche Comments: [``Finding a measure of
orthogonality'' [J. Comput. Appl. Math.
\bf 133(1--2) 697--697 (2001)] . . . . . 698--699
A. Wünsche An unorthodox entire function . . . . . 700--701
Anonymous Authors Index Volume 133 (2001) . . . . 703--705
Alan Horwitz A version of Simpson's rule for multiple
integrals . . . . . . . . . . . . . . . 1--11
Antonio G. García and
Miguel A. Hernández-Medina The discrete Kramer sampling theorem and
indeterminate moment problems . . . . . 13--22
Sòren Christiansen Detecting non-uniqueness of solutions to
biharmonic integral equations through
SVD . . . . . . . . . . . . . . . . . . 23--35
Daisuke Furihata Finite-difference schemes for nonlinear
wave equation that inherit energy
conservation property . . . . . . . . . 37--57
Jin Wang and
Ruxun Liu A new approach to design high-order
schemes . . . . . . . . . . . . . . . . 59--67
D. J. Walton and
D. S. Meek Curvature extrema of planar parametric
polynomial cubic curves . . . . . . . . 69--83
Heinrich Begehr and
Xing Li Approximate solution of periodic Riemann
boundary value problem for analytic
functions . . . . . . . . . . . . . . . 85--93
Nicholas J. Daras Composed Padé-type approximation . . . . 95--112
George Boros and
Victor H. Moll and
Roopa Nalam An integral with three parameters. Part
2 . . . . . . . . . . . . . . . . . . . 113--126
Salim Meddahi and
María González A fully discrete BEM--FEM method for an
exterior elasticity system in the plane 127--141
Marie-Noëlle Le Roux and
Marie-Isabelle Cozic and
Raphaël Loub\`ere Analysis of completely discrete finite
element method for a free boundary
diffusion problem with absorption . . . 143--164
Pravir K. Dutt and
Smita Bedekar Spectral methods for hyperbolic initial
boundary value problems on parallel
computers . . . . . . . . . . . . . . . 165--190
A. A. Badr Integro-differential equation with
Cauchy kernel . . . . . . . . . . . . . 191--199
E. J. M. Veling Analytical evaluation of some Bessel
function integrals related to Sonine's
finite integrals . . . . . . . . . . . . 201--212
H. Windcliff and
P. A. Forsyth and
K. R. Vetzal Shout options: a framework for pricing
contracts which can be modified by the
investor . . . . . . . . . . . . . . . . 213--241
Richard Baltensperger and
Jean-Paul Berrut The linear rational collocation method 243--258
Han Guoqiang and
Wang Jiong Extrapolation of Nystrom solution for
two dimensional nonlinear Fredholm
integral equations . . . . . . . . . . . 259--268
M. Al-Baali On the behaviour of a combined
extra-updating/self-scaling BFGS method 269--281
Igor Boglaev Domain decomposition for a singularly
perturbed parabolic problem with a
convection-dominated term . . . . . . . 283--299
Pedro Almenar and
Lucas Jódar Mixed problems for separated variable
coefficient wave equations:
analytic-numerical solutions with a
priori error bounds . . . . . . . . . . 301--323
G. Mastroianni and
D. Occorsio Optimal systems of nodes for Lagrange
interpolation on bounded intervals. A
survey . . . . . . . . . . . . . . . . . 325--341
Hailiang Liu and
Jinghua Wang and
Gerald Warnecke Convergence of a splitting scheme
applied to the Ruijgrok--Wu model of the
Boltzmann equation . . . . . . . . . . . 343--367
Anonymous Author Index Volume 134 (2001) . . . . . 369--370
L. Kohaupt Differential calculus for some $p$-norms
of the fundamental matrix with
applications . . . . . . . . . . . . . . 1--21
V. E. Howle and
Lloyd N. Trefethen Eigenvalues and musical instruments . . 23--40
M. N. Senhadji On condition numbers of the Shanks
transformation . . . . . . . . . . . . . 41--61
E. B. Lin and
X. Zhou Connection coefficients on an interval
and wavelet solutions of Burgers
equation . . . . . . . . . . . . . . . . 63--78
Teruya Minamoto Numerical existence and uniqueness proof
for solutions of nonlinear hyperbolic
equations . . . . . . . . . . . . . . . 79--90
Gabriel Acosta Lagrange and average interpolation over
$3$D anisotropic elements . . . . . . . 91--109
Muhammad Aslam Noor Modified resolvent splitting algorithms
for general mixed variational
inequalities . . . . . . . . . . . . . . 111--124
Guang-Da Hu and
Guang-Di Hu and
Baruch Cahlon Algebraic criteria for stability of
linear neutral systems with a single
delay . . . . . . . . . . . . . . . . . 125--133
Pablo Groisman and
Julio D. Rossi Asymptotic behaviour for a numerical
approximation of a parabolic problem
with blowing up solutions . . . . . . . 135--155
J. C. Medem and
R. Álvarez-Nodarse and
F. Marcellán On the $q$-polynomials: a distributional
study . . . . . . . . . . . . . . . . . 157--196
R. Álvarez-Nodarse and
J. C. Medem $q$-Classical polynomials and the
$q$-Askey and Nikiforov--Uvarov tableaus 197--223
Ekatherina A. Karatsuba On the asymptotic representation of the
Euler gamma function by Ramanujan . . . 225--240
Jens Hugger A theory for local, a posteriori,
pointwise, residual-based estimation of
the finite element error . . . . . . . . 241--292
Kathy Driver and
Peter Duren Zeros of ultraspherical polynomials and
the Hilbert--Klein formulas . . . . . . 293--301
W. T. Ang and
A. B. Gumel A boundary integral method for the
three-dimensional heat equation subject
to specification of energy . . . . . . . 303--311
Youngmok Jeon New indirect scalar boundary integral
equation formulas for the biharmonic
equation . . . . . . . . . . . . . . . . 313--324
Chuan-Long Wang and
Ting-Zhu Huang New convergence results for alternating
methods . . . . . . . . . . . . . . . . 325--333
Anonymous Author Index Volume 135 (2001) . . . . . 335--335
R. C. Mittal and
Ahmad Al-Kurdi Application of the Cramer rule in the
solution of sparse systems of linear
algebraic equations . . . . . . . . . . 1--15
Heli Chen and
Bernie D. Shizgal A spectral solution of the
Sturm--Liouville equation: comparison of
classical and nonclassical basis sets 17--35
Ping Zhou Multivariate Padé approximants to a
meromorphic function . . . . . . . . . . 37--51
Brian A. Hagler $d$-fold Hermite--Gauss quadrature . . . 53--72
Detong Zhu A family of improved secant methods via
nonmonotone curvilinear paths technique
for equality constrained optimization 73--97
Wolfram Koepf and
Dieter Schmersau On a structure formula for classical
$q$-orthogonal polynomials . . . . . . . 99--107
L. Lamberg and
K. Muinonen and
J. Ylönen and
K. Lumme Spectral estimation of Gaussian random
circles and spheres . . . . . . . . . . 109--121
Michel Chipot and
Riccardo March and
Domenico Vitulano Numerical analysis of oscillations in a
nonconvex problem related to image
selective smoothing . . . . . . . . . . 123--133
E. S. Chan and
B. H. Ong Range restricted scattered data
interpolation using convex combination
of cubic Bézier triangles . . . . . . . . 135--147
Xue-Zhang Liang and
Ming-Cai Liu and
Xiang-Jiu Che Solving second kind integral equations
by Galerkin methods with continuous
orthogonal wavelets . . . . . . . . . . 149--161
Jan Sembera and
Michal Benes Nonlinear Galerkin method for
reaction--diffusion systems admitting
invariant regions . . . . . . . . . . . 163--176
Ju-Hyun Park A new delay-dependent criterion for
neutral systems with multiple delays . . 177--184
M. Sadkane A note on normal matrices . . . . . . . 185--187
Daqing Jiang and
Meng Fan and
Aying Wan A monotone method for constructing
extremal solutions to second-order
periodic boundary value problems . . . . 189--197
C.-S. Chien and
S.-L. Chang and
Z. Mei Tracing the buckling of a rectangular
plate with the Block GMRES method . . . 199--218
Tibor Mazúch and
Jan Kozánek New recurrent algorithm for a matrix
inversion . . . . . . . . . . . . . . . 219--226
C. V. Pao Numerical solutions of
reaction--diffusion equations with
nonlocal boundary conditions . . . . . . 227--243
M. Iannelli and
F. A. Milner On the approximation of the
Lotka--McKendrick equation with finite
life-span . . . . . . . . . . . . . . . 245--254
Francisco Gallego Lupiañez Continued fractions and order-preserving
homeomorphism . . . . . . . . . . . . . 255--258
Abdul-Majid Wazwaz The numerical solution of fifth-order
boundary value problems by the
decomposition method . . . . . . . . . . 259--270
J. A. Ferreira and
F. Patrício and
F. Oliveira A priori estimates for the zeros of
interval polynomials . . . . . . . . . . 271--281
Miodrag S. Petkovi\'c and
Dorde Herceg Point estimation of simultaneous methods
for solving polynomial equations: a
survey . . . . . . . . . . . . . . . . . 283--307
Philip Korman Monotone approximations of unstable
solutions . . . . . . . . . . . . . . . 309--315
I. L. Sofronov and
W. L. Wendland Exact linear far-field conditions for
three-dimensional aerodynamic stationary
transonic flows . . . . . . . . . . . . 317--335
Tariq Aziz and
Manoj Kumar A fourth-order finite-difference method
based on non-uniform mesh for a class of
singular two-point boundary value
problems . . . . . . . . . . . . . . . . 337--342
Brian J. McCartin Exponential fitting of the delayed
recruitment/renewal equation . . . . . . 343--356
S. E. Ferrando and
L. A. Kolasa Averages of best wavelet basis estimates
for denoising . . . . . . . . . . . . . 357--367
Weimin Han and
Mircea Sofonea Time-dependent variational inequalities
for viscoelastic contact problems . . . 369--387
Odd Magne Ogreid and
Per Osland More series related to the Euler series 389--403
Anonymous Author Index Volume 136 (2001) . . . . . 405--406
L. A. Monthé A study of splitting scheme for
hyperbolic conservation laws with source
terms . . . . . . . . . . . . . . . . . 1--12
N. Samaris An extension of Krzyz's conjecture . . . 13--18
Sui Sun Cheng and
Yi-Zhong Lin Detection of positive roots of a
polynomial with five parameters . . . . 19--48
F. Seydou Profile inversion in scattering theory:
the TE case . . . . . . . . . . . . . . 49--60
Xian Liu A class of generalized filled functions
with improved computability . . . . . . 61--69
S. B. Damelin and
H. S. Jung and
K. H. Kwon On mean convergence of Hermite--Fejér and
Hermite interpolation for Erd\Hos
weights . . . . . . . . . . . . . . . . 71--76
Allen R. Miller The Mellin transform of a product of two
hypergeometric functions . . . . . . . . 77--82
I. Sadek and
M. Abukhaled and
T. Abualrub Optimal pointwise control for a parallel
system of Euler--Bernoulli beams . . . . 83--95
Stanly L. Steinberg and
Janaína P. Zingano and
Paulo R. Zingano On nilpotent singular systems . . . . . 97--107
K. H. Kwon and
J. H. Lee and
F. Marcellán Orthogonality of linear combinations of
two orthogonal polynomial sequences . . 109--122
M. Götz Optimal quadrature for analytic
functions . . . . . . . . . . . . . . . 123--133
Srebra B. Stoyanova Invariant cubature formulae of the ninth
degree of accuracy for the
hyperoctahedron . . . . . . . . . . . . 135--143
Zbigniew I. Wo\'znicki On performance of SOR method for solving
nonsymmetric linear systems . . . . . . 145--176
L. M. B. C. Campos On some solutions of the extended
confluent hypergeometric differential
equation . . . . . . . . . . . . . . . . 177--200
M. A. Hernández A modification of the classical
Kantorovich conditions for Newton's
method . . . . . . . . . . . . . . . . . 201--205
Yair Shapira Algebraic multilevel method with
application to the Maxwell equations . . 207--211
L. Lamberg and
M. Kaasalainen Numerical solution of the Minkowski
problem . . . . . . . . . . . . . . . . 213--227
Mike A. Botchev and
Henk A. van der Vorst A parallel nearly implicit time-stepping
scheme . . . . . . . . . . . . . . . . . 229--243
Kamel Al-Khaled Numerical study of Fisher's
reaction--diffusion equation by the Sinc
collocation method . . . . . . . . . . . 245--255
Natalia Kopteva and
Torsten Linß Uniform second-order pointwise
convergence of a central difference
approximation for a quasilinear
convection--diffusion problem . . . . . 257--267
Jianzhong Zhang and
Chengxian Xu Properties and numerical performance of
quasi-Newton methods with modified
quasi-Newton equations . . . . . . . . . 269--278
Lin Qiu and
Taketomo Mitsui Stability of the Radau IA and Lobatto
IIIC methods for neutral delay
differential system . . . . . . . . . . 279--292
Michael W. Smiley and
Changbum Chun An algorithm for finding all solutions
of a nonlinear system . . . . . . . . . 293--315
Yimin Wei and
Hebing Wu On the perturbation and subproper
splittings for the generalized inverse $
A_{T, S}^{(2)} $ of rectangular matrix
$A$ . . . . . . . . . . . . . . . . . . 317--329
Fabio Augusto Milner and
Curtis Allan Patton Existence of solutions for a
host-parasite model . . . . . . . . . . 331--361
Józef Bana\'s and
Millenia Lecko Solvability of infinite systems of
differential equations in Banach
sequence spaces . . . . . . . . . . . . 363--375
Weimin Han and
Meir Shillor and
Mircea Sofonea Variational and numerical analysis of a
quasistatic viscoelastic problem with
normal compliance, friction and damage 377--398
Anonymous Author Index Volume 137 (2001) . . . . . 399--400
S. Mohamad and
A. G. Naim Discrete-time analogues of
integrodifferential equations modelling
bidirectional neural networks . . . . . 1--20
F. J. Gaspar and
C. Clavero and
F. Lisbona Some numerical experiments with
multigrid methods on Shishkin meshes . . 21--35
Dingguo Pu and
Weiwen Tian Globally convergent inexact generalized
Newton's methods for nonsmooth equations 37--49
A. Aimi and
M. Diligenti Hypersingular kernel integration in $3$D
Galerkin boundary element method . . . . 51--72
M. Bhuruth and
M. K. Jain and
A. Gopaul Preconditioned iterative methods for the
nine-point approximation to the
convection--diffusion equation . . . . . 73--92
Xiang-Gui Li and
Xi-Jun Yu and
Guang-Nan Chen The third-order relaxation schemes for
hyperbolic conservation laws . . . . . . 93--108
D. J. Walton and
D. S. Meek Planar $ G^2 $ transition with a fair
Pythagorean hodograph quintic curve . . 109--126
Liqun Qi and
Defeng Sun and
Guanglu Zhou A primal-dual algorithm for minimizing a
sum of Euclidean norms . . . . . . . . . 127--150
M. Jung and
S. Nicaise and
J. Tabka Some multilevel methods on graded meshes 151--171
Mehdi Dehghan Second-order schemes for a boundary
value problem with Neumann's boundary
conditions . . . . . . . . . . . . . . . 173--184
Roberto Barrio Rounding error bounds for the Clenshaw
and Forsythe algorithms for the
evaluation of orthogonal polynomial
series . . . . . . . . . . . . . . . . . 185--204
Zhimin He and
Jianshe Yu Periodic boundary value problem for
first-order impulsive functional
differential equations . . . . . . . . . 205--217
A. Tocino and
R. Ardanuy Runge--Kutta methods for numerical
solution of stochastic differential
equations . . . . . . . . . . . . . . . 219--241
Xie Ping Ding and
Jong Yeoul Park A new class of generalized nonlinear
implicit quasivariational inclusions
with fuzzy mappings . . . . . . . . . . 243--257
Zheng-Hong Yang and
Yong-Jian Hu Displacement structure approach to
Cauchy and Cauchy--Vandermonde matrices:
inversion formulas and fast algorithms 259--272
M. A. Abdou Integral equation of mixed type and
integrals of orthogonal polynomials . . 273--285
Zhong-Zhi Bai and
Chuan-Long Wang On the convergence of nonstationary
multisplitting two-stage iteration
methods for Hermitian positive definite
linear systems . . . . . . . . . . . . . 287--296
J. Lehn and
A. Rößler and
O. Schein Adaptive schemes for the numerical
solution of SDEs-a comparison . . . . . 297--308
Usaf E. Aladl and
A. S. Deakin and
H. Rasmussen Nonreflecting boundary condition for the
wave equation . . . . . . . . . . . . . 309--323
Michael Dellnitz and
Oliver Schütze and
Qinghua Zheng Locating all the zeros of an analytic
function in one complex variable . . . . 325--333
M. Palacios Kepler equation and accelerated Newton
method . . . . . . . . . . . . . . . . . 335--346
C. Grossmann and
A. Noack Smoothing and Rothe's method for Stefan
problems in enthalpy form . . . . . . . 347--366
Anonymous Author Index Volume 138 . . . . . . . . 367--368
Hiroshi Sugita Robust numerical integration and
pairwise independent random variables 1--8
Qing Fang and
Takuya Tsuchiya and
Tetsuro Yamamoto Finite difference, finite element and
finite volume methods applied to
two-point boundary value problems . . . 9--19
J. M. Melenk On condition numbers in hp -FEM with
Gauss--Lobatto-based shape functions . . 21--48
Guoqiang Han and
Ruifang Wang Richardson extrapolation of iterated
discrete Galerkin solution for
two-dimensional Fredholm integral
equations . . . . . . . . . . . . . . . 49--63
J. Van der Jeugt Transformation formula for a double
Clausenian hypergeometric series, its
$q$-analogue, and its invariance group 65--73
Atsushi Mukaihira and
Yoshimasa Nakamura Schur flow for orthogonal polynomials on
the unit circle and its integrable
discretization . . . . . . . . . . . . . 75--94
Gerassimos C. Kokkorakis and
John A. Roumeliotis Power series expansions for spheroidal
wave functions with small arguments . . 95--127
Philippos Koulorizos and
Nikolas Samaris The Landau problem for nonvanishing
functions with real coefficients . . . . 129--139
D. S. Meek and
D. J. Walton Planar $ G^2 $ Hermite interpolation
with some fair, C-shaped curves . . . . 141--161
B. M. Brown and
M. S. P. Eastham On the location of resonances of
exponentially decaying Sturm--Liouville
potentials . . . . . . . . . . . . . . . 163--171
Walter Gautschi Gauss quadrature approximations to
hypergeometric and confluent
hypergeometric functions . . . . . . . . 173--187
Mingrong Cui A sufficient condition for the
convergence of the inexact Uzawa
algorithm for saddle point problems . . 189--196
Yuri Levin and
Mikhail Nediak and
Adi Ben-Israel A direct Newton method for calculus of
variations . . . . . . . . . . . . . . . 197--213
Horst Alzer Inequalities for the constants of Landau
and Lebesgue . . . . . . . . . . . . . . 215--230
M. X. He and
P. E. Ricci Differential equation of Appell
polynomials via the factorization method 231--237
Vigdis Petersen and
Haakon Waadeland A case of Toeplitz determinants and
theta functions in frequency analysis 239--251
H. G. Meijer and
M. G. de Bruin Zeros of Sobolev orthogonal polynomials
following from coherent pairs . . . . . 253--274
E. H. Doha On the coefficients of integrated
expansions and integrals of
ultraspherical polynomials and their
applications for solving differential
equations . . . . . . . . . . . . . . . 275--298
R. Balasubramanian and
S. Ponnusamy and
M. Vuorinen On hypergeometric functions and function
spaces . . . . . . . . . . . . . . . . . 299--322
M. D. Tidriri Analysis of the hybrid finite
element/finite volume methods for linear
hyperbolic and convection-dominated
convection--diffusion problems . . . . . 323--350
Wan-Tong Li and
Shunian Zhang Classifications and existence of
positive solutions of higher order
nonlinear iterative functional
differential equations . . . . . . . . . 351--367
Anonymous Author Index Volume 139 . . . . . . . . 369--370
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Proceedings of ICCAM-2000 . . . . . . . xi--xii
Mina B. Abd-el-Malek and
Magda M. Kassem and
Mohammed L. M. Meky Group theoretic approach for solving the
problem of diffusion of a drug through a
thin membrane . . . . . . . . . . . . . 1--11
M. Ahues and
F. D'Almeida and
A. Largillier and
O. Titaud and
P. Vasconcelos An $ L^1 $ refined projection
approximate solution of the radiation
transfer equation in stellar atmospheres 13--26
L. J. Alvarez-Vázquez and
A. Martínez and
C. Rodríguez and
M. E. Vázquez-Méndez A wastewater treatment problem: study of
the numerical convergence . . . . . . . 27--39
Juha Anttila A spline collocation method for
parabolic pseudodifferential equations 41--61
C. T. H. Baker and
C. A. H. Paul and
H. Tian Differential algebraic equations with
after-effect . . . . . . . . . . . . . . 63--80
C. Brezinski and
M. Redivo Zaglia and
H. Sadok A review of formal orthogonality in
Lanczos-based methods . . . . . . . . . 81--98
B. Bujanda and
J. C. Jorge Additive Runge--Kutta methods for the
resolution of linear parabolic problems 99--117
Ke Chen and
Anwar Hussein and
Hai-Bin Wan On a class of new and practical
performance indexes for approximation of
fold bifurcations of nonlinear power
flow equations . . . . . . . . . . . . . 119--141
William M. Cheung and
Michael K. Ng Block-circulant preconditioners for
systems arising from discretization of
the three-dimensional
convection--diffusion equation . . . . . 143--158
Leyla Daruis and
Pablo González-Vera and
Francisco Marcellán Gaussian quadrature formulae on the unit
circle . . . . . . . . . . . . . . . . . 159--183
Cesare Davini $ \Gamma $-Convergence of external
approximations in boundary value
problems involving the bi-Laplacian . . 185--208
M. C. De Bonis and
B. Della Vecchia and
G. Mastroianni Approximation of the Hilbert Transform
on the real semiaxis using Laguerre
zeros . . . . . . . . . . . . . . . . . 209--229
N. Del Buono and
C. Mastroserio Explicit methods based on a class of
four stage fourth order Runge--Kutta
methods for preserving quadratic laws 231--243
Zdenek Dostál and
Jaroslav Haslinger and
Radek Kucera Implementation of the fixed point method
in contact problems with Coulomb
friction based on a dual splitting type
technique . . . . . . . . . . . . . . . 245--256
A. B. Dragut Heuristic allocation based on a dynamic
programming state-space representation 257--273
John T. Edwards and
Neville J. Ford Boundedness and stability of solutions
to difference equations . . . . . . . . 275--289
Sven Ehrich On stratified extensions of
Gauss--Laguerre and Gauss--Hermite
quadrature formulas . . . . . . . . . . 291--299
M. Farhloul and
M. Fortin Review and complements on mixed-hybrid
finite element methods for fluid flows 301--313
Dario Fasino Approximation of nonnegative functions
by means of exponentiated trigonometric
polynomials . . . . . . . . . . . . . . 315--329
Riccardo Fazio A survey on free boundary identification
of the truncated boundary in numerical
BVPs on infinite intervals . . . . . . . 331--344
I. Gómez and
I. Higueras and
T. Roldán Starting algorithms for low stage order
RKN methods . . . . . . . . . . . . . . 345--367
Jef Hendrickx and
Marc Van Barel A Kronecker product variant of the FACR
method for solving the generalized
Poisson equation . . . . . . . . . . . . 369--380
Vilmos Horvat and
Mladen Rogina Tension spline collocation methods for
singularly perturbed Volterra
integro-differential and Volterra
integral equations . . . . . . . . . . . 381--402
Toshihiro Iwai Geometric mechanics of many-body systems 403--422
L. Gr. Ixaru and
G. Vanden Berghe and
H. De Meyer Frequency evaluation in exponential
fitting multistep algorithms for ODEs 423--434
A. H. Khater and
D. K. Callebaut and
W. Malfliet and
E. S. Kamel Bäcklund transformations and exact
solutions for some nonlinear evolution
equations in solar magnetostatic models 435--467
A. H. Khater and
W. Malfliet and
D. K. Callebaut and
E. S. Kamel Travelling wave solutions of some
classes of nonlinear evolution equations
in (1 + 1) and (2 + 1) dimensions . . . 469--477
Kyung Joong Kim and
Ronald Cools and
L. Gr. Ixaru Quadrature rules using first derivatives
for oscillatory integrands . . . . . . . 479--497
A. W. Lang and
D. M. Sloan Hermite collocation solution of
near-singular problems using numerical
coordinate transformations based on
adaptivity . . . . . . . . . . . . . . . 499--520
Damiana Lazzaro and
Laura B. Montefusco Radial basis functions for the
multivariate interpolation of large
scattered data sets . . . . . . . . . . 521--536
Pedro Lima and
Teresa Diogo Numerical solution of a nonuniquely
solvable Volterra integral equation
using extrapolation methods . . . . . . 537--557
María Cruz López de Silanes and
María Cruz Parra and
Juan José Torrens Vertical and oblique fault detection in
explicit surfaces . . . . . . . . . . . 559--585
G. Mastroianni and
D. Occorsio Numerical approximation of weakly
singular integrals on the half line . . 587--598
D. S. Meek Coaxing a planar curve to comply . . . . 599--618
Gradimir V. Milovanovi\'c and
Miodrag M. Spalevi\'c Quadrature formulae connected to $
\sigma $-orthogonal polynomials . . . . 619--637
M. Morhác and
V. Matousek and
J. Kliman Optimized multidimensional
nonoscillating deconvolution . . . . . . 639--658
Odd Magne Ogreid and
Per Osland Some infinite series related to Feynman
diagrams . . . . . . . . . . . . . . . . 659--671
Angel Plaza and
María-Cecilia Rivara On the adjacencies of triangular meshes
based on skeleton-regular partitions . . 673--693
Ricardo Riaza and
Pedro J. Zufiria Discretization of implicit ODEs for
singular root-finding problems . . . . . 695--712
Tetsuya Sakurai and
Hiroshi Sugiura Improvement of convergence of an
iterative method for finding polynomial
factors of analytic functions . . . . . 713--725
H. Swann On approximating the solution of the
non-stationary Stokes equations using
the cell discretization algorithm . . . 727--750
G. Tiesinga and
F. W. Wubs and
A. E. P. Veldman Bifurcation analysis of incompressible
flow in a driven cavity by the
Newton--Picard method . . . . . . . . . 751--772
K. W. Tomantschger Series solutions of coupled differential
equations with one regular singular
point . . . . . . . . . . . . . . . . . 773--783
Layne T. Watson Probability-one homotopies in
computational science . . . . . . . . . 785--807
P. Wilders and
G. Fotia A positive spatial advection scheme on
unstructured meshes for tracer transport 809--821
C. A. Woodham and
H. Su A computational investigation of
pole-zero cancellation for a double
inverted pendulum . . . . . . . . . . . 823--836
R. K. Wright A robust method for accurately
representing nonperiodic functions given
Fourier coefficient information . . . . 837--848
Tetsuro Yamamoto Convergence of consistent and
inconsistent finite difference schemes
and an acceleration technique . . . . . 849--866
Shi-Nine Yang and
Yung-Jen Yang Step length problem for trimming curve
approximation in tessellating trimmed
surfaces . . . . . . . . . . . . . . . . 867--876
Anonymous Author Index Volume 140 (2002) . . . . . 877--879
Anonymous Author Index Volumes 131--140 . . . . . 881--903
Anonymous Author Index Volume 140 . . . . . . . . 905--931
Ravi P. Agarwal and
Martin Bohner and
Donal O'Regan Preface . . . . . . . . . . . . . . . . ix--x
Ravi Agarwal and
Martin Bohner and
Donal O'Regan and
Allan Peterson Dynamic equations on time scales: a
survey . . . . . . . . . . . . . . . . . 1--26
Ravi P. Agarwal and
Martin Bohner and
Donal O'Regan Time scale boundary value problems on
infinite intervals . . . . . . . . . . . 27--34
Calvin D. Ahlbrandt and
Christina Morian Partial differential equations on time
scales . . . . . . . . . . . . . . . . . 35--55
Douglas R. Anderson Eigenvalue intervals for a two-point
boundary value problem on a measure
chain . . . . . . . . . . . . . . . . . 57--64
Richard I. Avery and
Douglas R. Anderson Existence of three positive solutions to
a second-order boundary value problem on
a measure chain . . . . . . . . . . . . 65--73
F. Merdivenci Atici and
G. Sh. Guseinov On Green's functions and positive
solutions for boundary value problems on
time scales . . . . . . . . . . . . . . 75--99
Bernd Aulbach and
Christian Pötzsche Reducibility of linear dynamic equations
on measure chains . . . . . . . . . . . 101--115
T. Gnana Bhaskar Comparison theorem for a nonlinear
boundary value problem on time scales 117--122
Chuan Jen Chyan and
Johnny Henderson Twin solutions of boundary value
problems for differential equations on
measure chains . . . . . . . . . . . . . 123--131
John M. Davis and
Johnny Henderson and
K. Rajendra Prasad Upper and lower bounds for the solution
of the general matrix Riccati
differential equation on a time scale 133--145
Ondrej Doslý and
Stefan Hilger A necessary and sufficient condition for
oscillation of the Sturm--Liouville
dynamic equation on time scales . . . . 147--158
Paul W. Eloe The method of quasilinearization and
dynamic equations on compact measure
chains . . . . . . . . . . . . . . . . . 159--167
Lynn Erbe and
Allan Peterson Oscillation criteria for second-order
matrix dynamic equations on a time scale 169--185
G. Sh. Guseinov and
B. Kaymakçalan On a disconjugacy criterion for second
order dynamic equations on time scales 187--196
Stefan Hilger Matrix Lie theory and measure chains . . 197--217
Roman Hilscher A time scales version of a
Wirtinger-type inequality and
applications . . . . . . . . . . . . . . 219--226
V. Lakshmikantham and
A. S. Vatsala Hybrid systems on time scales . . . . . 227--235
Bonita A. Lawrence A variety of differentiability results
for a multi-point boundary value problem 237--248
Christian Pötzsche Chain rule and invariance principle on
measure chains . . . . . . . . . . . . . 249--254
Stefan Siegmund A spectral notion for dynamic equations
on time scales . . . . . . . . . . . . . 255--265
Patricia J. Y. Wong Optimal Abel--Gontscharoff interpolation
error bounds on measure chains . . . . . 267--282
Anonymous Author Index Volume 141 . . . . . . . . 283--283
Pawel Hitczenko Preface . . . . . . . . . . . . . . . . ix--x
Noga Alon and
Vera Asodi Sparse universal graphs . . . . . . . . 1--11
Neil J. Calkin and
Jonathan D. Edds and
Douglas R. Shier Cancellation in cyclic consecutive
systems . . . . . . . . . . . . . . . . 13--26
Luc Devroye Laws of large numbers and tail
inequalities for random tries and
PATRICIA trees . . . . . . . . . . . . . 27--37
W. Duckworth and
N. C. Wormald and
M. Zito Maximum induced matchings of random
cubic graphs . . . . . . . . . . . . . . 39--50
William M. Y. Goh On a generalization of Polya inequality
and some of its statistical implications 51--59
William Goh and
Eric Schmutz Limit distribution for the maximum
degree of a random recursive tree . . . 61--82
Piet Groeneboom Hydrodynamical methods for analyzing
longest increasing subsequences . . . . 83--105
Pawel Hitczenko and
Cecil Rousseau and
Carla D. Savage A generating functionology approach to a
problem of Wilf . . . . . . . . . . . . 107--114
Christopher Jagger and
Andrew Thomason Wavelength routing in optical networks
of diameter two . . . . . . . . . . . . 115--124
Michal Karo\'nski and
Tomasz Luczak The phase transition in a random
hypergraph . . . . . . . . . . . . . . . 125--135
Guy Louchard Runs of geometrically distributed random
variables: a probabilistic analysis . . 137--153
Hosam Mahmoud and
Tatsuie Tsukiji On the internal structure of random
recursive circuits . . . . . . . . . . . 155--171
Ljuben R. Mutafchiev On the size of the Durfee square of a
random integer partition . . . . . . . . 173--184
Ralph Neininger On binary search tree recursions with
monomials as toll functions . . . . . . 185--196
Daniel Panario Asymptotics of subtracted singularities
for generating functions with small
singularities . . . . . . . . . . . . . 197--209
Alois Panholzer and
Helmut Prodinger Binary search tree recursions with
harmonic toll functions . . . . . . . . 211--225
WanSoo T. Rhee Disjoint random needles . . . . . . . . 227--234
J. Michael Steele The Bohnenblust--Spitzer algorithm and
its applications . . . . . . . . . . . . 235--249
Zi Cai Li and
Ningning Yan New error estimates of bi-cubic Hermite
finite element methods for biharmonic
equations . . . . . . . . . . . . . . . 251--285
Boleslaw Szafnicki A unified approach for degree reduction
of polynomials in the Bernstein basis.
Part I: Real polynomials . . . . . . . . 287--312
S. Blanes and
P. C. Moan Practical symplectic partitioned
Runge--Kutta and Runge--Kutta--Nyström
methods . . . . . . . . . . . . . . . . 313--330
Patricia J. Y. Wong Abel--Gontscharoff boundary value
problems on measure chains . . . . . . . 331--355
A. Kouibia and
M. Pasadas Approximation of curves by fairness
splines with tangent conditions . . . . 357--366
A. De Matteis and
S. Pagnutti Pseudorandom permutation . . . . . . . . 367--375
Hui-Chin Tang Combined random number generator via the
generalized Chinese remainder theorem 377--388
Huan-xi Zhao and
Gong-qin Zhu and
Ping Xiao A backward three-term recurrence
relation for vector valued continued
fractions and its applications . . . . . 389--400
Joaquin F. Sánchez Lara On the asymptotic expansion of the
entropy of Gegenbauer polynomials . . . 401--409
Kathy Driver and
Manfred Möller Quadratic and cubic transformations and
zeros of hypergeometric polynomials . . 411--417
Samir Benammou and
Khaled Omrani A finite element method for the
Sivashinsky equation . . . . . . . . . . 419--431
Anonymous A 2002 update of the supplementary
bibliography on roots of polynomials . . 433--434
Djurdje Cvijovi\'c and
Jacek Klinowski Integral representations of the Riemann
zeta function for odd-integer arguments 435--439
H. M. Srivastava Remarks on a sum containing factorials 441--444
Mohamed Akkouchi On a result of W. A. Kirk and L. M.
Saliga . . . . . . . . . . . . . . . . . 445--448
Kai Diethelm Erratum to ``Error bounds for
spline-based quadrature methods for
strongly singular integrals'' [J.
Comput. Appl. Math. \bf 89 (1998) 257] 449--450
Anonymous Author Index Volume 142 . . . . . . . . 451--452
A. Al-Jarrah and
K. M. Dempsey and
M. L. Glasser Generalized series of Bessel functions 1--8
Lixin Ge and
Jun Zhang Symbolic computation of high order
compact difference schemes for three
dimensional linear elliptic partial
differential equations with variable
coefficients . . . . . . . . . . . . . . 9--27
Xiaofeng Liao and
Zhongfu Wu and
Juebang Yu Stability analyses of cellular neural
networks with continuous time delay . . 29--47
Wim Lenferink A second order scheme for a
time-dependent, singularly perturbed
convection--diffusion equation . . . . . 49--68
A. Cabada and
S. Heikkilä Extremality results for discontinuous
explicit and implicit diffusion problems 69--80
Jan \vCermák A change of variables in the asymptotic
theory of differential equations with
unbounded delays . . . . . . . . . . . . 81--93
C. F. Bracciali and
D. K. Dimitrov and
A. Sri Ranga Chain sequences and symmetric
generalized orthogonal polynomials . . . 95--106
Eisa A. Al-Said and
Muhammad Aslam Noor Quartic spline method for solving fourth
order obstacle boundary value problems 107--116
Manuel Benito and
Juan L. Varona Pythagorean triangles with legs less
than $n$ . . . . . . . . . . . . . . . . 117--126
Z. Jackiewicz and
R. A. Renaut A note on stability of pseudospectral
methods for wave propagation . . . . . . 127--139
G. Piazza and
T. Politi An upper bound for the condition number
of a matrix in spectral norm . . . . . . 141--144
George Wolberg and
Itzik Alfy An energy-minimization framework for
monotonic cubic spline interpolation . . 145--188
Katsu Yamatani and
Takashi Ohe and
Kohzaburo Ohnaka An identification method of electric
current dipoles in spherically symmetric
conductor . . . . . . . . . . . . . . . 189--200
H. Haddar and
P. Joly Stability of thin layer approximation of
electromagnetic waves scattering by
linear and nonlinear coatings . . . . . 201--236
J. T. Betts and
N. Biehn and
S. L. Campbell and
W. P. Huffman Compensating for order variation in mesh
refinement for direct transcription
methods II: computational experience . . 237--261
Geon Ho Choe and
Dong Han Kim The first return time test of
pseudorandom numbers . . . . . . . . . . 263--274
J. R. Cash and
M. P. Garcia and
D. R. Moore Mono-implicit Runge--Kutta formulae for
the numerical solution of second order
nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 275--289
Song Wang and
Zi-Cai Li An analysis of a conforming
exponentially fitted finite element
method for a convection--diffusion
problem . . . . . . . . . . . . . . . . 291--310
Anonymous Author Index . . . . . . . . . . . . . . 311--311
Renhong Wang and
Roderick Wong Preface . . . . . . . . . . . . . . . . ix--ix
D. J. Benney Nonlinear instability theories in
hydrodynamics . . . . . . . . . . . . . 1--5
Luigi Gatteschi Asymptotics and bounds for the zeros of
Laguerre polynomials: a survey . . . . . 7--27
Robert M. Miura Analysis of excitable cell models . . . 29--47
T. B. Moodie Gravity currents . . . . . . . . . . . . 49--83
Ernst Binz and
Walter Schempp Information technology: the Lie groups
defining the filter banks of the compact
disc . . . . . . . . . . . . . . . . . . 85--103
Marty Brenner and
Yuesheng Xu A factorization method for
identification of Volterra systems . . . 105--117
Donghan Cai An economic growth model with endogenous
fertility: multiple growth paths,
poverty trap and bifurcation . . . . . . 119--130
Weiming Cao and
Benqi Guo A preconditioner with inexact element
face solver for three dimensional
$p$-version finite element methods . . . 131--144
Wanyang Dai A Brownian model for multiclass queueing
networks with finite buffers . . . . . . 145--160
Jiansong Deng and
Yuyu Feng and
Falai Chen Best one-sided approximation of
polynomials under $ L^1 $ norm . . . . . 161--174
Hongming Ding The $N$-widths of spaces of holomorphic
functions on bounded symmetric domains,
II . . . . . . . . . . . . . . . . . . . 175--186
Ch. Fredebeul and
D. Kornmaier and
M. W. Müller Multiple order double output
Runge--Kutta Fehlberg formulae:
strategies for efficient application . . 187--196
Xin Li Interpolation by ridge polynomials and
its application in neural networks . . . 197--209
Xiaoyan Liu Bivariate splines on hexagonal lattice
for digital image processing . . . . . . 211--220
Xiaonan Luo and
Hui Nie and
Yi Li and
Zhongxuan Luo Recurrence surfaces on arbitrary
quadrilateral mesh . . . . . . . . . . . 221--232
T. Miyakoda On an almost free damping vibration
equation using $N$-fractional calculus 233--240
Xiquan Shi and
Renhong Wang Spline space and its B-splines on an $ n
+ 1 $ direction mesh in $ R^n $ . . . . 241--250
Xiquan Shi and
Piqiang Yu and
Tianjun Wang $ G^1 $ continuous conditions of
biquartic B-spline surfaces . . . . . . 251--262
Jieqing Tan and
Shuo Tang Composite schemes for multivariate
blending rational interpolation . . . . 263--275
Ren-Hong Wang and
Yi-Sheng Lai Piecewise algebraic curve . . . . . . . 277--289
Ren-Hong Wang and
Zhi-Qiang Xu Multivariate weak spline function space 291--299
R. Wong and
Heping Yang On an internal boundary layer problem 301--323
Wei Wu and
Yi Su Hopf bifurcation near a double singular
point with $ Z_2 $-symmetry and $ X_0
$-breaking . . . . . . . . . . . . . . . 325--334
Wei Wu and
Yuesheng Xu Deterministic convergence of an online
gradient method for neural networks . . 335--347
Yuansheng Yang and
Jianhua Lin and
Yongjie Dai Largest planar graphs and largest
maximal planar graphs of diameter two 349--358
P. Yu Computation of the simplest normal forms
with perturbation parameters based on
Lie transform and rescaling . . . . . . 359--373
Anonymous Author Index . . . . . . . . . . . . . . 375--376
Zhi-Hao Cao On the convergence of iterative methods
for solving singular linear systems . . 1--9
Martin Schulz and
Gerd Steinebach Two-dimensional modelling of the river
Rhine . . . . . . . . . . . . . . . . . 11--20
D. Naylor An asymptotic expansion of the
Kontorovich--Lebedev transform of damped
oscillatory functions . . . . . . . . . 21--30
M. Afif and
B. Amaziane On convergence of finite volume schemes
for one-dimensional two-phase flow in
porous media . . . . . . . . . . . . . . 31--48
Micol Pennacchio and
Valeria Simoncini Efficient algebraic solution of
reaction--diffusion systems for the
cardiac excitation process . . . . . . . 49--70
S. De Marchi and
A. Ligun and
S. Timchenko and
A. Shumeiko An interpolant defined by subdivision
and the analysis of the error . . . . . 71--88
Manoj Kumar A three-point finite difference method
for a class of singular two-point
boundary value problems . . . . . . . . 89--97
Jacek Gilewicz and
Maciej Pindor and
Józef J. Telega and
Stanislaw Tokarzewski Continued fractions, two-point Padé
approximants and errors in the Stieltjes
case . . . . . . . . . . . . . . . . . . 99--112
T. L. Boyadjiev and
M. D. Todorov and
P. P. Fiziev and
S. S. Yazadjiev A numerical algorithm for modelling of
boson-fermion stars in dilatonic gravity 113--131
Shyh-Huei Chen and
Shu-Cherng Fang and
H.-S. Jacob Tsao Entropic perturbation method for solving
a system of linear inequalities . . . . 133--149
S. Matthews and
E. O'Riordan and
G. I. Shishkin A numerical method for a system of
singularly perturbed reaction--diffusion
equations . . . . . . . . . . . . . . . 151--166
A. Martínez-Finkelshtein and
P. Martínez-González and
A. Zarzo WKB approach to zero distribution of
solutions of linear second order
differential equations . . . . . . . . . 167--182
B.-F Feng and
G. W. Wei A comparison of the spectral and the
discrete singular convolution schemes
for the KdV-type equations . . . . . . . 183--188
V. Sirotkin and
P. Tarvainen Parallel Schwarz methods for
convection-dominated semilinear
diffusion problems . . . . . . . . . . . 189--211
Jun Zhang and
Jules Kouatchou and
Mohamed Othman On cyclic reduction and finite
difference schemes . . . . . . . . . . . 213--222
G. R. Liu and
T. Y. Wu Differential quadrature solutions of
eighth-order boundary-value differential
equations . . . . . . . . . . . . . . . 223--235
Allan J. MacLeod Rational expressions for the zeros of
several special functions . . . . . . . 237--246
Weizhong Dai and
Raja Nassar An unconditionally stable finite
difference scheme for solving a $3$D
heat transport equation in a
sub-microscale thin film . . . . . . . . 247--260
Allan J. MacLeod Asymptotic expansions for the zeros of
certain special functions . . . . . . . 261--267
Gyula Farkas A numerical $ C^1 $-shadowing result for
retarded functional differential
equations . . . . . . . . . . . . . . . 269--289
R. Lasser On lag windows connected with Jacobi
polynomials . . . . . . . . . . . . . . 291--300
T. Pérez and
J. A. Pardo Asymptotic normality for the $ K_\phi
$-divergence goodness-of-fit tests . . . 301--317
Miquel Calvo and
Josep M. Oller A distance between elliptical
distributions based in an embedding into
the Siegel group . . . . . . . . . . . . 319--334
Xian-Fang Li and
Er-Qian Rong Solution of a class of two-dimensional
integral equations . . . . . . . . . . . 335--343
Knut Petras Self-validating integration and
approximation of piecewise analytic
functions . . . . . . . . . . . . . . . 345--359
Koichi Kondo and
Yoshimasa Nakamura Determinantal solutions of solvable
chaotic systems . . . . . . . . . . . . 361--372
Hisashi Kotakemori and
Kyouji Harada and
Munenori Morimoto and
Hiroshi Niki A comparison theorem for the iterative
method with the preconditioner $ (I +
S_{\rm max}) $ . . . . . . . . . . . . . 373--378
Manuel Alfaro and
María Álvarez de Morales and
M. Luisa Rezola Orthogonality of the Jacobi polynomials
with negative integer parameters . . . . 379--386
D. S. Lubinsky and
H. P. Mashele $ L_p $ boundedness of $ (C, 1) $ means
of orthonormal expansions for general
exponential weights . . . . . . . . . . 387--405
Marcel G. de Bruin Regularity of some `incomplete' Pál-type
interpolation problems . . . . . . . . . 407--415
G. Dattoli and
P. E. Ricci and
C. Cesarano A note on multi-index polynomials of
Dickson type and their applications in
quantum optics . . . . . . . . . . . . . 417--424
L. Kohaupt Differential calculus for $p$-norms of
complex-valued vector functions with
applications . . . . . . . . . . . . . . 425--457
Jijun Liu Numerical solution of forward and
backward problem for $2$-D heat
conduction equation . . . . . . . . . . 459--482
Toshiyuki Koto Stability of Runge--Kutta methods for
delay integro-differential equations . . 483--492
Roman Chapko The numerical solution of an evolution
problem of second order in time on a
closed smooth boundary . . . . . . . . . 493--503
N. Dyn and
M. S. Floater and
A. Iske Adaptive thinning for bivariate
scattered data . . . . . . . . . . . . . 505--517
Miodrag S. Petkovi\'c Comments on some recent methods for the
simultaneous determination of polynomial
zeros . . . . . . . . . . . . . . . . . 519--524
R. Quintanilla Exponential stability for
one-dimensional problem of swelling
porous elastic soils with fluid
saturation . . . . . . . . . . . . . . . 525--533
Anonymous Author Index . . . . . . . . . . . . . . 535--536
Liqun Qi and
Xiaoqi Yang and
Jian-Zhong Zhang Preface . . . . . . . . . . . . . . . . ix--ix
Xiaojiao Tong and
Dong-Hui Li and
Liqun Qi An iterative method for solving
semismooth equations . . . . . . . . . . 1--10
Ping Zhong and
Naiyang Deng On a one-dimensional optimization
problem derived from the efficiency
analysis of Newton--PCG-like algorithms 11--24
Xin Min Yang and
Xiao Qi Yang and
Kok Lay Teo Explicitly $B$-preinvex functions . . . 25--36
Xiongda Chen and
Jie Sun Global convergence of a two-parameter
family of conjugate gradient methods
without line search . . . . . . . . . . 37--45
Cheng-Feng Hu Generalized variational inequalities
with fuzzy relation . . . . . . . . . . 47--56
Syuuji Yamada and
Tetsuzo Tanino and
Masahiro Inuiguchi An inner approximation method
incorporating with a penalty function
method for a reverse convex programming
problem . . . . . . . . . . . . . . . . 57--75
G. S. Liu and
J. Z. Zhang A new branch and bound algorithm for
solving quadratic programs with linear
complementarity constraints . . . . . . 77--87
Wenyu Sun and
Jiye Han and
Jie Sun Global convergence of nonmonotone
descent methods for unconstrained
optimization problems . . . . . . . . . 89--98
Jiuping Xu and
Jun Li A class of stochastic optimization
problems with one quadratic & several
linear objective functions and extended
portfolio selection model . . . . . . . 99--113
H. C. Lai and
J. C. Lee On duality theorems for a
nondifferentiable minimax fractional
programming . . . . . . . . . . . . . . 115--126
J.-P. Zeng and
S. Z. Zhou A domain decomposition method for a kind
of optimization problems . . . . . . . . 127--139
Hiroshi Konno and
Jun-ya Gotoh and
Takeaki Uno and
Atsushi Yuki A cutting plane algorithm for
semi-definite programming problems with
applications to failure discriminant
analysis . . . . . . . . . . . . . . . . 141--154
Hiroshi Noguchi and
Masaru Ogawa and
Hiroaki Ishii The appropriate total ranking method
using DEA for multiple categorized
purposes . . . . . . . . . . . . . . . . 155--166
Wen Song On generalized vector equilibrium
problems . . . . . . . . . . . . . . . . 167--177
I. C. Demetriou Signs of divided differences yield least
squares data fitting with constrained
monotonicity or convexity . . . . . . . 179--211
Yinnian He and
Kaitai Li Stability of Galerkin and Inertial
Algorithms with variable time step size 213--230
Peter R. Johnston and
David Elliott Transformations for evaluating singular
boundary element integrals . . . . . . . 231--251
Jean-Claude Fort and
Gilles Pag\`es Asymptotics of optimal quantizers for
some scalar distributions . . . . . . . 253--275
Jaroslav Jaros and
Taka\vsi Kusano and
Norio Yoshida Oscillation properties of solutions of a
class of nonlinear parabolic equations 277--284
Fioralba Cakoni and
David Colton and
Houssem Haddar The linear sampling method for
anisotropic media . . . . . . . . . . . 285--299
Nikolaos Kazantzis On the existence and uniqueness of
locally analytic invertible solutions of
a system of nonlinear functional
equations . . . . . . . . . . . . . . . 301--308
Xingfu Zou Delay induced traveling wave fronts in
reaction diffusion equations of
KPP--Fisher type . . . . . . . . . . . . 309--321
Bruce R. Fabijonas Laplace's method on a computer algebra
system with an application to the real
valued modified Bessel functions . . . . 323--342
G. Fikioris and
P. G. Cottis and
A. D. Panagopoulos On an integral related to biaxially
anisotropic media . . . . . . . . . . . 343--360
E. Berriochoa and
A. Cachafeiro Differential properties for a class of
Sobolev orthogonal polynomials . . . . . 361--372
Hongxing Rui Symmetric modified finite volume element
methods for self-adjoint elliptic and
parabolic problems . . . . . . . . . . . 373--386
B. T. Cui and
Yongqing Liu Necessary and sufficient conditions for
oscillation of Robin boundary problems
of neutral functional parabolic
equations . . . . . . . . . . . . . . . 387--393
J. C. Jiang and
X. H. Tang Oscillation of nonlinear delay
difference equations . . . . . . . . . . 395--404
P. K. Palamides Monotone positive solutions for singular
boundary value problems . . . . . . . . 405--418
V. D. Didenko and
B. Silbermann On stability of approximation methods
for the Muskhelishvili equation . . . . 419--441
Thananchai Leephakpreeda Novel determination of
differential-equation solutions:
universal approximation method . . . . . 443--457
U. Amato and
A. Antoniadis and
I. De Feis Fourier series approximation of
separable models . . . . . . . . . . . . 459--479
Mohammed Aassila Large time behaviour of solutions for a
nonlinear thermoelastic system . . . . . 481--491
Anonymous Author Index . . . . . . . . . . . . . . 493--494
Anonymous IFC ed. board 2nd issue . . . . . . . . ifc--ifc
Anonymous FM editors . . . . . . . . . . . . . . . ii--ii
Tadeusz Jankowski Differential equations with integral
boundary conditions . . . . . . . . . . 1--8
R. Thukral Introduction to the improved functional
epsilon algorithm . . . . . . . . . . . 9--25
D. Lesnic The decomposition method for forward and
backward time-dependent problems . . . . 27--39
Zhongxin Zhang and
Junyu Wang The upper and lower solution method for
a class of singular nonlinear second
order three-point boundary value
problems . . . . . . . . . . . . . . . . 41--52
Suh-Yuh Yang Analysis of piecewise linear
approximations to the generalized Stokes
problem in the velocity-stress-pressure
formulation . . . . . . . . . . . . . . 53--73
Zhongqiang Xie and
Chi-Hou Chan and
Bo Zhang An explicit fourth-order staggered
finite-difference time-domain method for
Maxwell's equations . . . . . . . . . . 75--98
Do Wan Kim and
Jeong Ho Chu and
Hyeong-Ohk Bae Perturbed integral equation method on
determining unknown geometry in fluid
flow . . . . . . . . . . . . . . . . . . 99--120
Shengde Liang and
Xiuling Ma and
Aihui Zhou A symmetric finite volume scheme for
selfadjoint elliptic problems . . . . . 121--136
Jiu Ding and
Tien Yien Li and
Aihui Zhou Finite approximations of Markov
operators . . . . . . . . . . . . . . . 137--152
S. Bitterlich and
P. Knabner An efficient method for solving an
inverse problem for the Richards
equation . . . . . . . . . . . . . . . . 153--173
K. Toyonaga and
M. T. Nakao and
Y. Watanabe Verified numerical computations for
multiple and nearly multiple eigenvalues
of elliptic operators . . . . . . . . . 175--190
A. Mazzia and
M. Putti Mixed-finite element and finite volume
discretization for heavy brine
simulations in groundwater . . . . . . . 191--213
R. B. Paris Error bounds for the uniform asymptotic
expansion of the incomplete gamma
function . . . . . . . . . . . . . . . . 215--231
K. N. Melnik and
R. V. N. Melnik Optimal-by-accuracy and optimal-by-order
cubature formulae in interpolational
classes . . . . . . . . . . . . . . . . 233--262
I. Kubiaczyk and
S. H. Saker Oscillation of delay parabolic
differential equations with several
coefficients . . . . . . . . . . . . . . 263--275
Mircea Lupu and
Ernest Scheiber Exact solution for an optimal
impermeable parachute problem . . . . . 277--286
Volker John Slip with friction and penetration with
resistance boundary conditions for the
Navier--Stokes equations-numerical tests
and aspects of the implementation . . . 287--300
Peiliang Xu A hybrid global optimization method: the
one-dimensional case . . . . . . . . . . 301--314
Josef Diblík and
Zdenek Svoboda An existence criterion of positive
solutions of $p$-type retarded
functional differential equations . . . 315--331
F. Kálovics Creating and handling box valued
functions used in numerical methods . . 333--348
N. Borovykh and
M. N. Spijker Bounding partial sums of Fourier series
in weighted $ L^2 $-norms, with
applications to matrix analysis . . . . 349--368
Xie Ping Ding and
Fu Quan Xia A new class of completely generalized
quasi-variational inclusions in Banach
spaces . . . . . . . . . . . . . . . . . 369--383
Mina B. Abd-el-Malek and
Nagwa A. Badran and
Hossam S. Hassan Using group theoretic method to solve
multi-dimensional diffusion equation . . 385--395
Ch. Tsitouras and
T. E. Simos Optimized Runge--Kutta pairs for
problems with oscillating solutions . . 397--409
A. Bartel and
M. Günther A multirate $W$-method for electrical
networks in state-space formulation . . 411--425
Vigdis Brevik Petersen Multiple zeros in frequency analysis:
the $ T(r) $-process . . . . . . . . . . 427--444
Tariq Aziz and
Arshad Khan A spline method for second-order
singularly perturbed boundary-value
problems . . . . . . . . . . . . . . . . 445--452
Laurence Grammont and
Alain Largillier On $ \epsilon $-spectra and stability
radii . . . . . . . . . . . . . . . . . 453--469
David-Olivier Azulay and
Ian Gambini Which pivot to solve linear systems? . . 471--484
Erika Hausenblas Numerical analysis of semilinear
stochastic evolution equations in Banach
spaces . . . . . . . . . . . . . . . . . 485--516
Anonymous Author Index volume . . . . . . . . . . 517--518
Anonymous IFC editors 2nd issue . . . . . . . . . ifc--ifc
Anonymous FM editors . . . . . . . . . . . . . . . ii--ii
B. M. Brown and
W. D. Evans Preface . . . . . . . . . . . . . . . . ix--ix
Anonymous Conference participants . . . . . . . . x--x
B. M. Brown and
W. D. Evans Prof. Michael Eastham Laudatum . . . . . xi--xiii
E. B. Davies and
Jiban Nath Schrödinger operators with slowly
decaying potentials . . . . . . . . . . 1--28
W. N. Everitt and
Anthippi Poulkou Kramer analytic kernels and first-order
boundary value problems . . . . . . . . 29--47
B. M. Brown and
M. S. P. Eastham Analytic continuation and resonance-free
regions for Sturm--Liouville potentials
with power decay . . . . . . . . . . . . 49--63
Marco Marletta and
Anton Zettl Counting and computing eigenvalues of
left-definite Sturm--Liouville problems 65--75
Don Hinton On the location of the least point of
the essential spectrum . . . . . . . . . 77--89
Michael Hitrik Existence of resonances in magnetic
scattering . . . . . . . . . . . . . . . 91--97
Ian W. Knowles An inverse problem for Hamiltonian
systems . . . . . . . . . . . . . . . . 99--113
B. M. Brown and
R. A. Peacock and
R. Weikard A local Borg--Marchenko theorem for
complex potentials . . . . . . . . . . . 115--131
Jason Lott and
Günter Stolz The spectral minimum for random
displacement models . . . . . . . . . . 133--146
Paul A. Binding and
Patrick J. Browne and
Bruce A. Watson Sturm--Liouville problems with boundary
conditions rationally dependent on the
eigenparameter, II . . . . . . . . . . . 147--168
Karl Michael Schmidt Eigenvalues in gaps of perturbed
periodic Dirac operators: numerical
evidence . . . . . . . . . . . . . . . . 169--181
B. M. Brown and
W. Reichel Computing eigenvalues and Fucik-spectrum
of the radially symmetric $p$-Laplacian 183--211
W. N. Everitt and
L. L. Littlejohn and
R. Wellman Legendre polynomials, Legendre--Stirling
numbers, and the left-definite spectral
analysis of the Legendre differential
expression . . . . . . . . . . . . . . . 213--238
A. A. Balinsky and
W. D. Evans On the spectral properties of the
Brown--Ravenhall operator . . . . . . . 239--255
C. Bennewitz and
B. M. Brown A limit point criterion with
applications to nonselfadjoint equations 257--265
Horst Behncke and
Andreas Fischer Spectral properties of a differential
system . . . . . . . . . . . . . . . . . 267--285
Horst Behncke The spectrum of differential operators
with almost constant coefficients II . . 287--305
S. V. Breimesser and
James D. E. Grant and
D. B. Pearson Value distribution and spectral theory
of Schrödinger operators with $ L^2
$-sparse potentials . . . . . . . . . . 307--322
R. B. Paris A uniform asymptotic expansion for the
incomplete gamma function . . . . . . . 323--339
Xiaolin Zhu and
Gongqin Zhu A method for directly finding the
denominator values of rational
interpolants . . . . . . . . . . . . . . 341--348
Holger Dette and
William J. Studden A note on the matrix valued $q$-$d$
algorithm and matrix orthogonal
polynomials on $ [0, 1]$ and $ [0,
\infty)$ . . . . . . . . . . . . . . . . 349--361
Allan J. MacLeod The efficient computation of some
generalised exponential integrals . . . 363--374
Daniel J. Strauss and
Gabriele Steidl Hybrid wavelet-support vector
classification of waveforms . . . . . . 375--400
John T. Edwards and
Neville J. Ford and
A. Charles Simpson The numerical solution of linear
multi-term fractional differential
equations: systems of equations . . . . 401--418
Semyon B. Yakubovich Index transforms associated with
products of Whittaker's functions . . . 419--427
Mark Ainsworth and
Katia Pinchedez The hp-MITC finite element method for
the Reissner--Mindlin plate problem . . 429--462
Anonymous Author Index volume . . . . . . . . . . 463--464
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Masatake Mori and
Taketomo Mitsui Preface . . . . . . . . . . . . . . . . ix--x
Anonymous Conference photo . . . . . . . . . . . . xi--xi
Anonymous Organizing Committee of the 15th Toyota
Conference . . . . . . . . . . . . . . . xiii--xiv
M. Anil Toyota Conference: Sponsored by Toyota
Motor Corporation . . . . . . . . . . . xv--xvi
Ronald Cools Advances in multidimensional integration 1--12
Masao Doi Material modeling platform . . . . . . . 13--25
A. J. Freeman Materials by design and the exciting
role of quantum computation/simulation 27--56
Hiroshi Fujita A coherent analysis of Stokes flows
under boundary conditions of friction
type . . . . . . . . . . . . . . . . . . 57--69
Tsorng-Whay Pan and
Roland Glowinski and
Giovanni P. Galdi Direct simulation of the motion of a
settling ellipsoid in Newtonian fluid 71--82
E. N. Houstis and
A. C. Catlin and
P. Tsompanopoulou and
D. Gottfried and
G. Balakrishnan and
K. Su and
J. R. Rice GasTurbnLab: a multidisciplinary problem
solving environment for gas turbine
engine design on a network of
nonhomogeneous machines . . . . . . . . 83--100
Shi-aki Hyodo Meso-scale fusion: a method for
molecular electronic state calculation
in inhomogeneous materials . . . . . . . 101--118
M. Kobayashi and
M. Aono and
H. Takeuchi and
H. Samukawa Matrix computations for information
retrieval and major and outlier cluster
detection . . . . . . . . . . . . . . . 119--129
Junichiro Makino GRAPE project . . . . . . . . . . . . . 131--145
Yoshio Oyanagi Future of supercomputing . . . . . . . . 147--153
J. F. Wang and
J. Periaux and
M. Sefrioui Parallel evolutionary algorithms for
optimization problems in aerospace
engineering . . . . . . . . . . . . . . 155--169
Yang Cao and
Shengtai Li and
Linda Petzold Adjoint sensitivity analysis for
differential-algebraic equations:
algorithms and software . . . . . . . . 171--191
B. Mohammadi and
O. Pironneau Applied optimal shape design . . . . . . 193--205
Peter Schröder Subdivision as a fundamental building
block of digital geometry processing
algorithms . . . . . . . . . . . . . . . 207--219
Zhong-Ci Shi Nonconforming finite element methods . . 221--225
Ian H. Sloan and
Robert S. Womersley Good approximation on the sphere, with
application to geodesy and the
scattering of sound . . . . . . . . . . 227--237
Masaaki Sugihara Double exponential transformation in the
Sinc-collocation method for two-point
boundary value problems . . . . . . . . 239--250
Henk A. van der Vorst Efficient and reliable iterative methods
for linear systems . . . . . . . . . . . 251--265
T. Yabe and
Y. Ogata and
K. Takizawa and
T. Kawai and
A. Segawa and
K. Sakurai The next generation CIP as a
conservative semi-Lagrangian solver for
solid, liquid and gas . . . . . . . . . 267--277
Shinobu Yoshimura and
Ryuji Shioya and
Hirohisa Noguchi and
Tomoshi Miyamura Advanced general-purpose computational
mechanics system for large-scale
analysis and design . . . . . . . . . . 279--296
Shao-Liang Zhang A class of product-type Krylov-subspace
methods for solving nonsymmetric linear
systems . . . . . . . . . . . . . . . . 297--305
Tatstuhiko Aizawa and
Yunan Prawoto and
Fujio Tsumori Coupled, macro-micro modeling for hot
deformation and sintering . . . . . . . 307--324
Ichiro Hagiwara and
Junichi Shinoda The high precise/efficient
pre/postprocessor . . . . . . . . . . . 325--333
Kohji Ohtsuka Comparison of criteria on the direction
of crack extension . . . . . . . . . . . 335--339
Masaaki Shimasaki and
Takeshi Iwashita and
Takeshi Mifune Fast linear equation solvers in high
performance electromagnetic field
analysis . . . . . . . . . . . . . . . . 341--349
Kazuto Nakata and
Tadashi Murase and
Toshihiro Sakuma and
Toshikazu Takada A parallel algorithm for generating
molecular integrals over MO basis sets 351--357
H. Kohno and
T. Tanahashi Finite element simulation of single
crystal growth process using GSMAC
method . . . . . . . . . . . . . . . . . 359--371
M. I. Ageel A novel means of estimating quantiles
for $2$-parameter Weibull distribution
under the right random censoring model 373--380
Philsu Kim and
Beong In Yun On the convergence of interpolatory-type
quadrature rules for evaluating Cauchy
integrals . . . . . . . . . . . . . . . 381--395
Sergio Amat and
Sonia Busquier and
Vicente Candela A class of quasi-Newton generalized
Steffensen methods on Banach spaces . . 397--406
J. M. Franco An embedded pair of exponentially fitted
explicit Runge--Kutta methods . . . . . 407--414
Daniela Calvetti and
Sun-Mi Kim and
Lothar Reichel The restarted $ Q R $-algorithm for
eigenvalue computation of structured
matrices . . . . . . . . . . . . . . . . 415--422
A. Jodayree Akbarfam and
Angelo B. Mingarelli Higher order asymptotic distribution of
the eigenvalues of nondefinite
Sturm--Liouville problems with one
turning point . . . . . . . . . . . . . 423--437
G. W. Wei and
Yun Gu Conjugate filter approach for solving
Burgers' equation . . . . . . . . . . . 439--456
M. A. H. Khan High-order differential approximants . . 457--468
Anatoly A. Kilbas and
Luis Rodríguez and
Juan J. Trujillo Asymptotic representations for
hypergeometric-Bessel type function and
fractional integrals . . . . . . . . . . 469--487
Anonymous Author Index . . . . . . . . . . . . . . 489--490
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
J. P. Milaszewicz On Brown's and Newton's methods with
convexity hypotheses . . . . . . . . . . 1--24
Laura Castaño-García and
Juan J. Moreno-Balcázar A Mehler--Heine-type formula for
Hermite--Sobolev orthogonal polynomials 25--35
Zuodong Yang and
Qishao Lu Nonexistence of positive solutions to a
quasilinear elliptic system and blow-up
estimates for a quasilinear
reaction--diffusion system . . . . . . . 37--56
I. V. Krasovsky Asymptotic distribution of zeros of
polynomials satisfying difference
equations . . . . . . . . . . . . . . . 57--70
R. Barrio and
B. Melendo and
S. Serrano On the numerical evaluation of linear
recurrences . . . . . . . . . . . . . . 71--86
Xingde Ye The Legendre collocation method for the
Cahn--Hilliard equation . . . . . . . . 87--108
Hans-Görg Roos and
Helena Zarin The streamline-diffusion method for a
convection--diffusion problem with a
point source . . . . . . . . . . . . . . 109--128
Jules Kouatchou Comparison of time and spatial
collocation methods for the heat
equation . . . . . . . . . . . . . . . . 129--141
Fu Chuli and
Qiu Chunyu Wavelet and error estimation of surface
heat flux . . . . . . . . . . . . . . . 143--155
Francis Collino and
Bruno Despres Integral equations via saddle point
problems for time-harmonic Maxwell's
equations . . . . . . . . . . . . . . . 157--192
A. Algaba and
E. Freire and
E. Gamero and
C. García Quasi-homogeneous normal forms . . . . . 193--216
Liqun Qi and
Jianzhong Zhang Erratum to the preface of the special
issue on Nonlinear Programming and
Variational Inequalities [J. Comput.
Appl. Math. \bf 129 (2001) ix] . . . . . 217--217
A.-J. López-Moreno and
F.-J. Muñoz-Delgado Asymptotic expansion of multivariate
conservative linear operators . . . . . 219--251
Katsuo Takano On infinite divisibility of normed
product of Cauchy densities . . . . . . 253--263
Gerhard Globisch The hierarchical preconditioning on
unstructured three-dimensional grids
with locally refined regions . . . . . . 265--282
Harald Niederreiter Error bounds for quasi-Monte Carlo
integration with uniform point sets . . 283--292
Keiko Ojiro and
Hiroshi Niki and
Masataka Usui A new criterion for the $H$-matrix
property . . . . . . . . . . . . . . . . 293--302
Ishtiaq Rasool Khan and
Ryoji Ohba and
Noriyuki Hozumi Mathematical proof of closed form
expressions for finite difference
approximations based on Taylor series 303--309
Stanislaw Lewanowicz Representations for the first associated
$q$-classical orthogonal polynomials . . 311--327
Yu-Qiu Zhao A uniform asymptotic expansion of the
single variable Bell polynomials . . . . 329--355
S. Akesbi and
E. Maitre Theoretical and numerical analysis of a
minimal residual solver for $2$D
Boltzmann transport equation . . . . . . 357--374
Johannes Schropp One- and multistep discretizations of
index 2 differential algebraic systems
and their use in optimization . . . . . 375--396
Anonymous Author Index volume 150 . . . . . . . . 397--397
Anonymous Author Index volumes 141--150 . . . . . 399--418
Anonymous Subject index volumes 141--150 . . . . . 419--440
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Halil Oruç and
George M. Phillips $q$-Bernstein polynomials and Bézier
curves . . . . . . . . . . . . . . . . . 1--12
Angela Slavova and
Pietro Zecca CNN model for studying dynamics and
travelling wave solutions of
FitzHugh--Nagumo equation . . . . . . . 13--24
Arindama Singh and
S. Sheela Lardy's regularization of a singularly
perturbed elliptic PDE . . . . . . . . . 25--37
Panayiotis J. Psarrakos Definite triples of Hermitian matrices
and matrix polynomials . . . . . . . . . 39--58
C. J. Budd and
A. R. Humphries Numerical and analytical estimates of
existence regions for semi-linear
elliptic equations with critical Sobolev
exponents in cuboid and cylindrical
domains . . . . . . . . . . . . . . . . 59--84
Jean Diatta A mixed measure of content on the set of
real numbers . . . . . . . . . . . . . . 85--105
Emil Minchev and
Norio Yoshida Oscillations of solutions of vector
differential equations of parabolic type
with functional arguments . . . . . . . 107--117
Leonid Berezansky and
Elena Braverman Linearized oscillation theory for a
nonlinear nonautonomous delay
differential equation . . . . . . . . . 119--127
George Pelekanos and
Vassilios Sevroglou Inverse scattering by penetrable objects
in two-dimensional elastodynamics . . . 129--140
D. Lewis and
N. Nigam Geometric integration on spheres and
some interesting applications . . . . . 141--170
Stefania Bellavia and
Benedetta Morini Global convergence enhancement of
classical linesearch interior point
methods for MCPs . . . . . . . . . . . . 171--199
Dongjin Yuan and
Kevin Burrage Convergence of the parallel chaotic
waveform relaxation method for stiff
systems . . . . . . . . . . . . . . . . 201--213
Xuerong Mao and
Sotirios Sabanis Numerical solutions of stochastic
differential delay equations under local
Lipschitz condition . . . . . . . . . . 215--227
Jian Yang and
Hong-Ke Du A note on compact normal operators . . . 229--233
Chelo Ferreira and
José L. López Asymptotic expansions of the Lauricella
hypergeometric function $ F_D $ . . . . 235--256
M. H. B. M. Shariff and
J. R. Dormand A modified augmented Lagrangian method
for a class of constrained problems . . 257--270
H. Bavinck Differential operators having
Sobolev-type Jacobi polynomials as
eigenfunctions . . . . . . . . . . . . . 271--295
R. B. Paris The asymptotic expansion of a
generalised incomplete gamma function 297--306
Zi-Cai Li and
Tetsuro Yamamoto and
Qing Fang Superconvergence of solution derivatives
for the Shortley--Weller difference
approximation of Poisson's equation.
Part I: smoothness problems . . . . . . 307--333
H. Kojouharov and
B. Welfert A nonstandard Euler scheme for $ y'' +
g(y) y' + f(y) y = 0 $ . . . . . . . . . 335--353
E. de Amo and
I. Chitescu and
M. Díaz Carrillo and
N. A. Secelean A new approximation procedure for
fractals . . . . . . . . . . . . . . . . 355--370
Ju H. Park Guaranteed cost stabilization of neutral
differential systems with parametric
uncertainty . . . . . . . . . . . . . . 371--382
D. G. Kubayi and
D. S. Lubinsky Quadrature sums and Lagrange
interpolation for general exponential
weights . . . . . . . . . . . . . . . . 383--414
Yanping Guo and
Wenrui Shan and
Weigao Ge Positive solutions for second-order
$m$-point boundary value problems . . . 415--424
H. Su and
C. A. Woodham On the uncontrollable damped triple
inverted pendulum . . . . . . . . . . . 425--443
Fathalla A. Rihan Sensitivity analysis for dynamic systems
with time-lags . . . . . . . . . . . . . 445--462
M. Iqbal Deconvolution and regularization for
numerical solutions of incorrectly posed
problems . . . . . . . . . . . . . . . . 463--476
Anonymous Author Index . . . . . . . . . . . . . . 477--478
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Götz Alefeld and
Xiaojun Chen and
Tetsuro Yamamoto Preface . . . . . . . . . . . . . . . . xi--xii
Götz Alefeld and
Vladik Kreinovich and
Günter Mayer On the solution sets of particular
classes of linear interval systems . . . 1--15
A. Bermúdez and
R. Rodríguez and
D. Santamarina Finite element approximation of a
displacement formulation for time-domain
elastoacoustic vibrations . . . . . . . 17--34
Ernesto G. Birgin and
Ivan E. Chambouleyron and
José Mario Martínez Optimization problems in the estimation
of parameters of thin films and the
elimination of the influence of the
substrate . . . . . . . . . . . . . . . 35--50
Tsu-Fen Chen and
Miao-Chen Ke Nonlinear SOR and mesh redistribution 51--68
T. Coffey and
R. J. McMullan and
C. T. Kelley and
D. S. McRae Globally convergent algorithms for
nonsmooth nonlinear equations in
computational fluid dynamics . . . . . . 69--81
Yang Dai and
Sunyoung Kim and
Masakazu Kojima Computing all nonsingular solutions of
cyclic- $n$ polynomial using polyhedral
homotopy continuation methods . . . . . 83--97
Jichang Dong and
Jianming Shi and
Shouyang Wang and
Yi Xue and
Shuqin Liu A trust-region algorithm for
equality-constrained optimization via a
reduced dimension approach . . . . . . . 99--118
Qing Fang Convergence of finite difference methods
for convection--diffusion problems with
singular solutions . . . . . . . . . . . 119--131
J. A. Ford and
S. Tharmlikit New implicit updates in multi-step
quasi-Newton methods for unconstrained
optimisation . . . . . . . . . . . . . . 133--146
Kurt Georg A new exclusion test . . . . . . . . . . 147--160
Keisuke Hayashi and
Kazuei Onishi and
Yoko Ohura Direct numerical identification of
boundary values in the Laplace equation 161--174
G. Heindl Best possible componentwise parameter
inclusions computable from a priori
estimates, measurements, and bounds for
the measurement errors . . . . . . . . . 175--185
Jürgen Herzberger Explicit bounds for the positive root of
classes of polynomials with applications 187--198
Pasdunkorale A. Jayantha and
Ian W. Turner On the use of surface interpolation
techniques in generalised finite volume
strategies for simulating transport in
highly anisotropic porous media . . . . 199--216
Woo-Je Kim and
Sungmook Lim and
Seung-yong Doh and
Soondal Park and
Jaegeun Ahn Numerical aspects in developing LP
softwares, LPAKO and LPABO . . . . . . . 217--228
K. Kobayashi and
H. Okamoto and
J. Zhu Numerical computation of water and
solitary waves by the double exponential
transform . . . . . . . . . . . . . . . 229--241
M. Koeber Inclusion of solutions of Darboux
problems for quasilinear hyperbolic
equations . . . . . . . . . . . . . . . 243--262
Lei Li and
James Glimm and
Xiaolin Li All isomorphic distinct cases for
multi-component interfaces in a block 263--276
Ivo Marek Quasi-birth-and-death processes,
level-geometric distributions. An
aggregation/disaggregation approach . . 277--288
Rossitza S. Marinova and
Tadayasu Takahashi and
Hideaki Aiso and
Christo I. Christov and
Tchavdar T. Marinov Conservation properties of vectorial
operator splitting . . . . . . . . . . . 289--303
Takayasu Matsuo High-order schemes for conservative or
dissipative systems . . . . . . . . . . 305--317
K. Matsuoka and
K. Tomoeda Numerical computations to pulse
splitting phenomena in the thermal waves
through an absorbing medium . . . . . . 319--332
B. Mermri and
X. Chen On characterizations and regularity of
the solution of bilateral obstacle
problems . . . . . . . . . . . . . . . . 333--345
Yoshiaki Muroya and
Emiko Ishiwata and
Hermann Brunner On the attainable order of collocation
methods for pantograph
integro-differential equations . . . . . 347--366
Kazuaki Nakane and
Tomoko Shinohara Global solutions to a one-dimensional
hyperbolic free boundary problem which
arises in peeling phenomena . . . . . . 367--375
H. M. Nasir and
T. Kako and
D. Koyama A mixed-type finite element
approximation for radiation problems
using fictitious domain method . . . . . 377--392
M. Neher Improved validated bounds for Taylor
coefficients and for Taylor remainder
series . . . . . . . . . . . . . . . . . 393--404
Kotoba Nishida Numerical method for Oseen's linearized
equations in three-dimensional exterior
domains . . . . . . . . . . . . . . . . 405--409
Hidenori Ogata and
Kaname Amano and
Masaaki Sugihara and
Dai Okano A fundamental solution method for
viscous flow problems with obstacles in
a periodic array . . . . . . . . . . . . 411--425
Yoshio Ohtsubo Value iteration methods in risk
minimizing stopping problems . . . . . . 427--439
Dai Okano and
Hidenori Ogata and
Kaname Amano A method of numerical conformal mapping
of curved slit domains by the charge
simulation method . . . . . . . . . . . 441--450
Miodrag S. Petkovi\'c Laguerre-like inclusion method for
polynomial zeros . . . . . . . . . . . . 451--465
Tetsuya Sakurai and
Peter Kravanja and
Hiroshi Sugiura and
Marc Van Barel An error analysis of two related
quadrature methods for computing zeros
of analytic functions . . . . . . . . . 467--480
Uwe Schäfer Aspects for a block version of the
interval Cholesky algorithm . . . . . . 481--491
Toshio Suzuki and
Tomohiro Suzuki Numerical integration error method for
zeros of analytic functions . . . . . . 493--505
Takuya Tsuchiya and
Kazuki Yoshida and
Sae Ishioka Yamamoto's principle and its
applications to precise finite element
error analysis . . . . . . . . . . . . . 507--532
Kumiko Tsuji and
Miki Aoyagi Recognition of planar shapes by a
semi-differential invariant for moving
triangles . . . . . . . . . . . . . . . 533--544
Teruo Ushijima and
Fumihiro Chiba A fundamental solution method for the
reduced wave problem in a domain
exterior to a disc . . . . . . . . . . . 545--557
Naihua Xiu and
Jianzhong Zhang Some recent advances in projection-type
methods for variational inequalities . . 559--585
Kiyotaka Yamamura and
Tsuyoshi Fujioka Finding all solutions of nonlinear
equations using the dual simplex method 587--595
Tadashi Yano and
Yasuo Ezawa and
Takeshi Wada and
Hiroshi Ezawa Can Milne's method work well for the
Coulomb-like potentials? . . . . . . . . 597--611
Anonymous Author Index volume . . . . . . . . . . 613--614
Anonymous FM editors . . . . . . . . . . . . . . . ii--ii
A. Laforgia and
P. E. Ricci Preface . . . . . . . . . . . . . . . . xi--xi
Andrea Laforgia and
Martin E. Muldoon and
Panayiotos D. Siafarikas Árpád Elbert, 1939--2001: a memorial
tribute . . . . . . . . . . . . . . . . 1--8
Renato Álvarez-Nodarse and
M. K. Atakishiyeva and
N. M. Atakishiyev Mellin transforms for some families of
$q$-polynomials . . . . . . . . . . . . 9--18
J. Arvesú and
J. Coussement and
W. Van Assche Some discrete multiple orthogonal
polynomials . . . . . . . . . . . . . . 19--45
Richard Beals and
David H. Sattinger and
Jacek Szmigielski Continued fractions and integrable
systems . . . . . . . . . . . . . . . . 47--60
Youss\`ef Ben Cheikh Relations between harmonic analysis
associated with two differential
operators of different orders . . . . . 61--71
E. Berriochoa and
A. Cachafeiro A necessary condition for the extension
of Szeg\Ho's asymptotics inside the disk
in the Sobolev case . . . . . . . . . . 73--78
C. F. Bracciali and
A. P. da Silva and
A. Sri Ranga Szeg\Ho polynomials: some relations to
$L$-orthogonal and orthogonal
polynomials . . . . . . . . . . . . . . 79--88
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Orthogonal rational functions and
tridiagonal matrices . . . . . . . . . . 89--97
David Carf\`\i Dirac-orthogonality in the space of
tempered distributions . . . . . . . . . 99--107
David Carf\`\i and
Clara German\`a Some properties of a new product in $
S_n' $ . . . . . . . . . . . . . . . . . 109--118
A. Raouf Chouikha Note on trigonometric expansions of
theta functions . . . . . . . . . . . . 119--125
Peter A. Clarkson Painlevé equations --- nonlinear special
functions . . . . . . . . . . . . . . . 127--140
Els Coussement and
Walter Van Assche Asymptotics of multiple orthogonal
polynomials associated with the modified
Bessel functions of the first kind . . . 141--149
Azza Dachraoui Weyl transforms associated with Laguerre
functions . . . . . . . . . . . . . . . 151--162
Marcel G. de Bruin On a special interpolation problem and
overconvergence . . . . . . . . . . . . 163--169
Dimitar K. Dimitrov Convexity of the extreme zeros of
Gegenbauer and Laguerre polynomials . . 171--180
Charles F. Dunkl Special functions and generating
functions associated with reflection
groups . . . . . . . . . . . . . . . . . 181--190
C. Escribano and
M. A. Sastre and
E. Torrano Moments of infinite convolutions of
symmetric Bernoulli distributions . . . 191--199
W. N. Everitt and
Anthippi Poulkou Some observations and remarks on
differential operators generated by
first-order boundary value problems . . 201--211
M. Foupouagnigni and
A. Ronveaux Difference equations for the
co-recursive $r$-th associated
orthogonal polynomials of the $
D_q$-Laguerre--Hahn class . . . . . . . 213--223
Amparo Gil and
Javier Segura and
Nico M. Temme Computation of the modified Bessel
function of the third kind of imaginary
orders: uniform Airy-type asymptotic
expansion . . . . . . . . . . . . . . . 225--234
Jacek Gilewicz and
Yuri Kryakin Froissart doublets in Padé approximation
in the case of polynomial noise . . . . 235--242
C. Giordano and
A. Laforgia On the Bernstein-type inequalities for
ultraspherical polynomials . . . . . . . 243--248
E. K. Ifantis and
C. G. Kokologiannaki Stieltjes transforms of a class of
probability measures . . . . . . . . . . 249--258
Mourad E. H. Ismail and
Dennis Stanton Applications of $q$-Taylor theorems . . 259--272
K. Kiepiela and
I. Naraniecka and
J. Szynal The Gegenbauer polynomials and typically
real functions . . . . . . . . . . . . . 273--282
K. H. Kwon and
D. W. Lee Orthogonal functions satisfying a
second-order differential equation . . . 283--293
Stanislaw Lewanowicz Construction of recurrences for the
coefficients of expansions in
$q$-classical orthogonal polynomials . . 295--309
Xin Li An extremal problem and an estimation of
the Wronskian of certain Jacobi
polynomials . . . . . . . . . . . . . . 311--320
Miguel Lorente Integrable systems on the lattice and
orthogonal polynomials of discrete
variable . . . . . . . . . . . . . . . . 321--330
Francesco Mainardi and
Gianni Pagnini Salvatore Pincherle: the pioneer of the
Mellin--Barnes integrals . . . . . . . . 331--342
Mohamed Ali Mourou Taylor series associated with a
differential-difference operator on the
real line . . . . . . . . . . . . . . . 343--354
Pierpaolo Natalini and
Biagio Palumbo Some monotonicity results on the zeros
of the generalized Laguerre polynomials 355--360
Henrik L. Pedersen The double gamma function and related
Pick functions . . . . . . . . . . . . . 361--369
Franz Peherstorfer Inverse images of polynomial mappings
and polynomials orthogonal on them . . . 371--385
Eugenia N. Petropoulou and
Panayiotis D. Siafarikas and
Ioannis D. Stabolas On the common zeros of Bessel functions 387--393
Andreas Ruffing and
Julian Lorenz and
Konstantin Ziegler Difference ladder operators for a
harmonic Schrödinger oscillator using
unitary linear lattices . . . . . . . . 395--410
J. Sánchez-Ruiz and
P. López-Artés and
J. S. Dehesa Expansions in series of varying Laguerre
polynomials and some applications to
molecular potentials . . . . . . . . . . 411--421
Klaus Schiefermayr Random walks with similar transition
probabilities . . . . . . . . . . . . . 423--432
Javier Segura On the zeros and turning points of
special functions . . . . . . . . . . . 433--440
Nico M. Temme Large parameter cases of the Gauss
hypergeometric function . . . . . . . . 441--462
Paul Terwilliger Introduction to Leonard pairs . . . . . 463--475
A. Torre Linear and radial canonical transforms
of fractional order . . . . . . . . . . 477--486
J. Van Deun and
A. Bultheel Orthogonal rational functions and
quadrature on an interval . . . . . . . 487--495
Erik A. van Doorn Birth-death processes and associated
polynomials . . . . . . . . . . . . . . 497--506
Raimundas Vidunas Contiguous relations of hypergeometric
series . . . . . . . . . . . . . . . . . 507--519
A. Wünsche The role of Jacobi polynomials in the
theory of Hermite and Laguerre $2$D
polynomials . . . . . . . . . . . . . . 521--529
Martin Muldoon Open problems . . . . . . . . . . . . . 531--531
Alfred Wünsche A sequence of generalizations of the
geometric series . . . . . . . . . . . . 533--534
T. S. Chihara An analog of the Blumenthal--Nevai
theorem for unbounded intervals . . . . 535--536
Dennis Stanton Some positive sums . . . . . . . . . . . 537--537
Jan Szynal Laguerre polynomials and the Krzyz
conjecture . . . . . . . . . . . . . . . 539--541
Miguel Lorente Orthogonal polynomials, special
functions and mathematical physics . . . 543--545
A. Bogatyrev Fibers of periods map are cells? . . . . 547--548
Anonymous Author Index volume . . . . . . . . . . 549--550
Anonymous FM editors . . . . . . . . . . . . . . . ii--ii
P. Donald Ariel On the flow of an elastico-viscous fluid
near a rotating disk . . . . . . . . . . 1--25
Rodolfo Bermejo and
Mofdi El Amrani A finite element semi-Lagrangian
explicit Runge--Kutta--Chebyshev method
for convection dominated
reaction--diffusion problems . . . . . . 27--61
R. E. Grundy The analysis of initial-boundary-value
problems using Hermite interpolation . . 63--95
Wen Li The convergence of the modified
Gauss--Seidel methods for consistent
linear systems . . . . . . . . . . . . . 97--105
Huanxi Zhao and
Gongqin Zhu A Worpitzky theorem for vector valued
continued fractions . . . . . . . . . . 107--114
Ishtiaq Rasool Khan and
Ryoji Ohba Taylor series based finite difference
approximations of higher-degree
derivatives . . . . . . . . . . . . . . 115--124
Joris Windmolders and
Evelyne Vanraes and
Paul Dierckx and
Adhemar Bultheel Uniform Powell--Sabin spline wavelets 125--142
A. Algaba and
M. Reyes Computing center conditions for vector
fields with constant angular speed . . . 143--159
Gabriele Inglese Fourier--Legendre approximation of a
probability density from discrete data 161--173
Mekki Terbeche and
Broderick O. Oluyede Fixed and sequential designs for
estimation in the exponential family
with comparisons and applications to
binomial proportions using beta priors 175--182
J. F. Chamayou and
J. L. Dunau Random difference equations: an
asymptotical result . . . . . . . . . . 183--193
Zhong-Zhi Bai On the convergence of additive and
multiplicative splitting iterations for
systems of linear equations . . . . . . 195--214
F. Patrício and
J. A. Ferreira and
F. Oliveira On the interval Legendre polynomials . . 215--227
J. M. Tuwankotta and
G. R. W. Quispel Geometric numerical integration applied
to the elastic pendulum at higher-order
resonance . . . . . . . . . . . . . . . 229--242
Mourad E. H. Ismail Remarks on ``Differential equation of
Appell polynomials \ldots'' . . . . . . 243--245
M. J. Cantero and
M. P. Ferrer and
L. Moral and
L. Velázquez A connection between orthogonal
polynomials on the unit circle and
matrix orthogonal polynomials on the
real line . . . . . . . . . . . . . . . 247--272
Fabio Augusto Milner and
Curtis Allan Patton A diffusion model for host-parasite
interaction . . . . . . . . . . . . . . 273--302
Quan Liu and
Song Jiang Global existence and numerical
approximation in adiabatic shearing of
incompressible fluids . . . . . . . . . 303--317
Dingguo Pu and
Weiwen Tian The revised DFP algorithm without exact
line search . . . . . . . . . . . . . . 319--339
Mapundi K. Banda and
Michael Junk and
Axel Klar Kinetic derivation of a finite
difference scheme for the incompressible
Navier--Stokes equation . . . . . . . . 341--354
Zheng-Hong Yang Generalized confluent
Cauchy--Vandermonde matrices:
displacement structures, inversion
formulas and tangential interpolations 355--371
Bao Tong Cui and
Yongqing Liu Oscillation for partial difference
equations with continuous variables . . 373--391
E. Laitinen and
A. V. Lapin and
J. Pieskä Asynchronous domain decomposition
methods for continuous casting problem 393--413
C. Clavero and
J. C. Jorge and
F. Lisbona A uniformly convergent scheme on a
nonuniform mesh for
convection--diffusion parabolic problems 415--429
M. A. Abdou On a symptotic methods for
Fredholm--Volterra integral equation of
the second kind in contact problems . . 431--446
Samir Karaa and
Jun Zhang Analysis of stationary iterative methods
for the discrete convection--diffusion
equation with a $9$-point compact scheme 447--476
Anonymous Author Index Volume 154 (2003) . . . . . 477--478
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Don Hong and
Tianxiao He Preface . . . . . . . . . . . . . . . . ix--x
Yuanxian Gu and
Wenyuan Liao and
Jianping Zhu An efficient high-order algorithm for
solving systems of $3$-D
reaction--diffusion equations . . . . . 1--17
T.-X. He and
R. Zhang and
Y. S. Zhou Boundary-type quadrature and boundary
element method . . . . . . . . . . . . . 19--41
Bin Han Compactly supported tight wavelet frames
and orthonormal wavelets of exponential
decay with a general dilation matrix . . 43--67
X. Dai and
Y. Diao and
Q. Gu and
D. Han Frame wavelet sets in $ R^d $ . . . . . 69--82
X. Dai and
Y. Diao and
Q. Gu and
D. Han The existence of subspace wavelet sets 83--90
Doug Hardin and
Don Hong Construction of wavelets and prewavelets
over triangulations . . . . . . . . . . 91--109
Joseph D. Lakey and
Ying Wang On perturbations of irregular Gabor
frames . . . . . . . . . . . . . . . . . 111--129
En-Bing Lin and
Yi Ling Image compression and denoising via
nonseparable wavelet approximation . . . 131--152
Jiansheng Cao and
Robert Gardner Restrictions on the zeros of a
polynomial as a consequence of
conditions on the coefficients of even
powers and odd powers of the variable 153--162
Jungho Yoon A non-stationary approximation scheme on
scattered centers in $ R^d $ by radial
basis functions . . . . . . . . . . . . 163--175
Catherine Cusimano and
Sonya Stanley Circular Bernstein--Bézier spline
approximation with knot removal . . . . 177--185
Huan-Wen Liu and
Don Hong An explicit local basis for $ C^1 $
cubic spline spaces over a triangulated
quadrangulation . . . . . . . . . . . . 187--200
Yinnian He and
Yanping Lin and
Samuel S. P. Shen and
Weiwei Sun and
Robert Tait Finite element approximation for the
viscoelastic fluid motion problem . . . 201--222
Ioannis K. Argyros On a theorem of L. V. Kantorovich
concerning Newton's method . . . . . . . 223--230
A. I. Aptekarev and
A. Branquinho Padé approximants and complex high order
Toda lattices . . . . . . . . . . . . . 231--237
Reinhold Kainhofer QMC methods for the solution of delay
differential equations . . . . . . . . . 239--252
H. P. Dikshit Pál-type interpolation on nonuniformly
distributed nodes on the unit circle . . 253--261
M. B. Liu and
G. R. Liu and
K. Y. Lam Constructing smoothing functions in
smoothed particle hydrodynamics with
applications . . . . . . . . . . . . . . 263--284
Detong Zhu Nonmonotonic back-tracking trust region
interior point algorithm for linear
constrained optimization . . . . . . . . 285--305
Piero Barone Orthogonal polynomials, random matrices
and the numerical inversion of the
Laplace transform of positive functions 307--330
H. V. Smith Some error expansions for certain
Gaussian quadrature rules . . . . . . . 331--337
J. R. Cash and
D. R. Moore and
N. Sumarti and
M. Van Daele A highly stable deferred correction
scheme with interpolant for systems of
nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 339--358
Ronald W. Butler and
Andrew T. A. Wood Laplace approximation for Bessel
functions of matrix argument . . . . . . 359--382
Adam Lecko and
Agnieszka Wi\'sniowska Geometric properties of subclasses of
starlike functions . . . . . . . . . . . 383--387
A. Martín del Rey and
J. Muñoz Masqué Reducing $ y'' = F(x, y, y') $ to first
order . . . . . . . . . . . . . . . . . 389--404
Stefan Reitzinger and
Ute Schreiber and
Ursula van Rienen Algebraic multigrid for complex
symmetric matrices and applications . . 405--421
Peiliang Xu A hybrid global optimization method: the
multi-dimensional case . . . . . . . . . 423--446
A. Moudafi and
M. Oliny Convergence of a splitting inertial
proximal method for monotone operators 447--454
S. B. Damelin On the maximum modulus of weighted
polynomials in the plane, a theorem of
Rakhmanov, Mhaskar and Saff revisited 455--459
Anonymous Author Index volume . . . . . . . . . . 461--462
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Peng Zhang and
Ru-Xun Liu Hyperbolic conservation laws with
space-dependent flux: I. Characteristics
theory and Riemann problem . . . . . . . 1--21
Cheng-long Xu and
Xiao-song Qian and
Li-shang Jiang Numerical analysis on binomial tree
methods for a jump-diffusion model . . . 23--45
Qingtang Jiang and
Peter Oswald Triangular $3$-subdivision schemes: the
regular case . . . . . . . . . . . . . . 47--75
M. D. Tidriri Error estimates for the hybrid finite
element/finite volume methods for linear
hyperbolic and convection-dominated
problems . . . . . . . . . . . . . . . . 77--92
J.-D. Benamou and
O. Lafitte and
R. Sentis and
I. Solliec A geometrical optics-based numerical
method for high frequency
electromagnetic fields computations near
fold caustics --- Part I . . . . . . . . 93--125
O. Chau and
J. R. Fernández and
W. Han and
M. Sofonea Variational and numerical analysis of a
dynamic frictionless contact problem
with adhesion . . . . . . . . . . . . . 127--157
D. Juki\'c and
R. Scitovski Solution of the least-squares problem
for logistic function . . . . . . . . . 159--177
Borislav V. Minchev Some algorithms for solving special
tridiagonal block Toeplitz linear
systems . . . . . . . . . . . . . . . . 179--200
Peiliang Xu Numerical solution for bounding feasible
point sets . . . . . . . . . . . . . . . 201--219
Ali R. Ansari and
Alan F. Hegarty Numerical solution of a convection
diffusion problem with Robin boundary
conditions . . . . . . . . . . . . . . . 221--238
Tadeusz Jankowski Existence of solutions of boundary value
problems for differential equations with
delayed arguments . . . . . . . . . . . 239--252
Yousséf Ben Cheikh and
Ali Zaghouani Some discrete $d$-orthogonal polynomial
sets . . . . . . . . . . . . . . . . . . 253--263
Eli Levin and
D. S. Lubinsky Asymptotics for entropy integrals
associated with exponential weights . . 265--283
J. P. Thiran and
M. Matelart and
B. Le Bailly On the generalized ADI method for the
matrix equation $ X - A X B = C $ . . . 285--302
Paul J. Harris and
Ke Chen On efficient preconditioners for
iterative solution of a Galerkin
boundary element equation for the
three-dimensional exterior Helmholtz
problem . . . . . . . . . . . . . . . . 303--318
Jae Ryong Kweon and
Philsu Kim An explicit finite element method for
convection-dominated compressible
viscous Stokes system with inflow
boundary . . . . . . . . . . . . . . . . 319--343
M. Frontini and
E. Sormani Modified Newton's method with
third-order convergence and multiple
roots . . . . . . . . . . . . . . . . . 345--354
Wen-Chang Chu and
H. M. Srivastava Ordinary and basic bivariate
hypergeometric transformations
associated with the Appell and Kampé de
Fériet functions . . . . . . . . . . . . 355--370
Paul Covello and
Garry Rodrigue A generalized front marching algorithm
for the solution of the eikonal equation 371--388
Arnold Neumaier Enclosing clusters of zeros of
polynomials . . . . . . . . . . . . . . 389--401
Siegfried M. Rump Ten methods to bound multiple roots of
polynomials . . . . . . . . . . . . . . 403--432
L. Kohaupt Extension and further development of the
differential calculus for matrix norms
with applications . . . . . . . . . . . 433--456
Tadeusz Jankowski Waveform relaxation methods for periodic
differential-functional systems . . . . 457--469
M. R. Capobianco and
G. Criscuolo On quadrature for Cauchy principal value
integrals of oscillatory functions . . . 471--486
Eliana X. L. de Andrade and
John H. McCabe and
A. Sri Ranga The $Q$-$D$ algorithm for transforming
series expansions into a corresponding
continued fraction: an extension to cope
with zero coefficients . . . . . . . . . 487--497
Tsorng-Whay Pan and
Roland Glowinski and
Giovanni P. Galdi Addendum to: ``Direct simulation of the
motion of a settling ellipsoid in
Newtonian fluid'': [J. Comput. Appl.
Math. \bf 149 (2002) 71--82] . . . . . . 499--499
Anonymous Author Index volume 156 . . . . . . . . 501--502
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Li-Qun Cao and
Jun-Zhi Cui and
Jian-Lan Luo Multiscale asymptotic expansion and a
post-processing algorithm for
second-order elliptic problems with
highly oscillatory coefficients over
general convex domains . . . . . . . . . 1--29
J. Banas and
J. Rocha and
K. B. Sadarangani Solvability of a nonlinear integral
equation of Volterra type . . . . . . . 31--48
Peiguang Wang and
Yonghong Wu Oscillation of certain second-order
functional differential equations with
damping . . . . . . . . . . . . . . . . 49--56
Yimin Wei and
Naimin Zhang Condition number related with
generalized inverse $ A_{T, S}^{(2)} $
and constrained linear systems . . . . . 57--72
István Gy\Hori and
Ferenc Hartung Stability analysis of a single neuron
model with delay . . . . . . . . . . . . 73--92
I. Area and
E. Godoy and
A. Ronveaux and
A. Zarzo Hypergeometric-type differential
equations: second kind solutions and
related integrals . . . . . . . . . . . 93--106
Hirokazu Inui and
Katsu Yamatani and
Kohzaburo Ohnaka A reliable identification of electric
current dipoles using harmonic functions 107--123
J. Chollom and
Z. Jackiewicz Construction of two-step Runge--Kutta
methods with large regions of absolute
stability . . . . . . . . . . . . . . . 125--137
C. Suárez On the orthogonality of the derivative
of the reciprocal sequence . . . . . . . 139--154
F. Reverter and
J. M. Oller Computing the Rao distance for Gamma
distributions . . . . . . . . . . . . . 155--167
Ioannis K. Argyros An improved error analysis for
Newton-like methods under generalized
conditions . . . . . . . . . . . . . . . 169--185
Alan Genz Fully symmetric interpolatory rules for
multiple integrals over hyper-spherical
surfaces . . . . . . . . . . . . . . . . 187--195
S. Amat and
S. Busquier and
J. M. Gutiérrez Geometric constructions of iterative
functions to solve nonlinear equations 197--205
Jürgen Garloff and
Christian Jansson and
Andrew P. Smith Lower bound functions for polynomials 207--225
H. H. H. Homeier A modified Newton method for rootfinding
with cubic convergence . . . . . . . . . 227--230
Qing Fang A note on the condition number of a
matrix . . . . . . . . . . . . . . . . . 231--234
Jitao Sun and
Yinping Zhang Impulsive control of a nuclear spin
generator . . . . . . . . . . . . . . . 235--242
Horst Alzer On Gautschi's harmonic mean inequality
for the gamma function . . . . . . . . . 243--249
Takuya Ooura A generalization of the continuous Euler
transformation and its application to
numerical quadrature . . . . . . . . . . 251--259
Sylvain Maire An iterative computation of
approximations on Korobov-like spaces 261--281
Muhammed I. Syam Cubic spline interpolation predictors
over implicitly defined curves . . . . . 283--295
R. B. Paris On the asymptotic connection between two
exponential sums . . . . . . . . . . . . 297--308
M. A. Botchev and
J. G. Verwer A new approximate matrix factorization
for implicit time integration in air
pollution modeling . . . . . . . . . . . 309--327
Wilhelm Heinrichs Least-squares spectral collocation for
discontinuous and singular perturbation
problems . . . . . . . . . . . . . . . . 329--345
S. M. Moghadas and
A. B. Gumel A mathematical study of a model for
childhood diseases with non-permanent
immunity . . . . . . . . . . . . . . . . 347--363
Alfio Borz\`\i Multigrid methods for parabolic
distributed optimal control problems . . 365--382
Isabella Cravero and
Carla Manni Shape-preserving interpolants with high
smoothness . . . . . . . . . . . . . . . 383--405
Peiguang Wang and
Xuewen Li Further results on oscillation of a
class of second-order neutral equations 407--418
Xie Ping Ding Existence and algorithm of solutions for
nonlinear mixed variational-like
inequalities in Banach spaces . . . . . 419--434
Peng Shi and
El-Kébir Boukas and
Yan Shi and
Ramesh K. Agarwal Optimal guaranteed cost control of
uncertain discrete time-delay systems 435--451
D. J. Walton and
D. S. Meek and
J. M. Ali Planar $ G^2 $ transition curves
composed of cubic Bézier spiral segments 453--476
Renate Winkler Stochastic differential algebraic
equations of index 1 and applications in
circuit simulation . . . . . . . . . . . 477--505
Allen R. Miller On a Kummer-type transformation for the
generalized hypergeometric function $_2
F_2$ . . . . . . . . . . . . . . . . . . 507--509
Anonymous Author Index volume 157 . . . . . . . . 511--512
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
T. E. Simos and
J. Vigo-Aguiar Preface . . . . . . . . . . . . . . . . ix--ix
Pablo Alberca Bjerregaard and
Cándido Martín González Computational approach to the simplicity
of $ f_4 (O_s, -) $ in the
characteristic two case . . . . . . . . 1--10
Sergio Amat and
Sonia Busquier and
Vicente Candela Third-order iterative methods without
using any Fréchet derivative . . . . . . 11--18
Roumen Anguelov and
Jean M.-S. Lubuma and
Simon K. Mahudu Qualitatively stable finite difference
schemes for advection-reaction equations 19--30
N. Calvo and
J. Durany and
C. Vázquez Finite elements numerical solution of a
coupled profile-velocity-temperature
shallow ice sheet approximation model 31--41
Joan-Josep Climent and
Carmen Perea Iterative methods for least-square
problems based on proper splittings . . 43--48
Dan Givoli and
Beny Neta High-order nonreflecting boundary
conditions for the dispersive shallow
water equations . . . . . . . . . . . . 49--60
Desmond J. Higham Unravelling small world networks . . . . 61--74
Z. Kalogiratou and
T. E. Simos Newton--Cotes formulae for long-time
integration . . . . . . . . . . . . . . 75--82
Z. Kalogiratou and
Th. Monovasilis and
T. E. Simos Symplectic integrators for the numerical
solution of the Schrödinger equation . . 83--92
A. Konguetsof and
T. E. Simos A generator of hybrid symmetric
four-step methods for the numerical
solution of the Schrödinger equation . . 93--106
Yoshinori Matsuura and
Shinnosuke Oharu and
Takashi Takata and
Akio Tamura Mathematical approaches to bone
reformation phenomena and numerical
simulations . . . . . . . . . . . . . . 107--119
S. Natesan and
J. Jayakumar and
J. Vigo-Aguiar Parameter uniform numerical method for
singularly perturbed turning point
problems exhibiting boundary layers . . 121--134
G. Psihoyios and
T. E. Simos Trigonometrically fitted
predictor--corrector methods for IVPs
with oscillating solutions . . . . . . . 135--144
Manuel S. Santos Estimation by simulation of monotone
dynamical systems . . . . . . . . . . . 145--156
Willi Schönauer and
Torsten Adolph FDEM: how we make the FDM more flexible
than the FEM . . . . . . . . . . . . . . 157--167
A. Tocino and
J. Vigo-Aguiar New Itô--Taylor expansions . . . . . . . 169--185
Jesús Vigo-Aguiar and
Higinio Ramos Dissipative Chebyshev exponential-fitted
methods for numerical solution of
second-order differential equations . . 187--211
M. I. Vigo-Aguiar and
M. E. Sansaturio and
J. M. Ferrándiz Integrability of Hamiltonians with
polynomial potentials . . . . . . . . . 213--224
Javier Villarroel On solutions to Ito stochastic
differential equations . . . . . . . . . 225--231
Abedallah Rababah Distance for degree raising and
reduction of triangular Bézier surfaces 233--241
Guillaume Houzeaux and
Ramon Codina An iteration-by-subdomain overlapping
Dirichlet/Robin domain decomposition
method for advection--diffusion problems 243--276
A. Atieg and
G. A. Watson A class of methods for fitting a curve
or surface to data by minimizing the sum
of squares of orthogonal distances . . . 277--296
Armin Iske Progressive scattered data filtering . . 297--316
Luziane Ferreira de Mendonça and
Rosana Pérez and
Véra Lucia Rocha Lopes Inverse $q$-Columns Updating Methods for
solving nonlinear systems of equations 317--337
Juan J. Nieto and
Rosana Rodríguez-López Remarks on periodic boundary value
problems for functional differential
equations . . . . . . . . . . . . . . . 339--353
C. Frammartino and
C. Laurita and
G. Mastroianni On the numerical solution of Fredholm
integral equations on unbounded
intervals . . . . . . . . . . . . . . . 355--378
S. K. Mishra and
S. Y. Wang and
K. K. Lai and
J. M. Shi Nondifferentiable minimax fractional
programming under generalized univexity 379--395
Zhimin He and
Weigao Ge Oscillations of second-order nonlinear
impulsive ordinary differential
equations . . . . . . . . . . . . . . . 397--406
Fan Wei Meng and
Wei Nian Li On some new nonlinear discrete
inequalities and their applications . . 407--417
Philippe Guillaume and
Yousef Saad and
Masha Sosonkina Rational approximation preconditioners
for sparse linear systems . . . . . . . 419--442
Malidi Ahamadi and
Jean-Jacques Gervais Symbolic-numerical methods for the
computation of normal forms of PDEs . . 443--472
Maxim J. Goldberg and
Tomasz Hrycak and
Seonja Kim A fast numerical method for evaluation
of Calderón commutators . . . . . . . . . 473--484
Jongwoo Lee and
Bengt Fornberg A split step approach for the $3$-D
Maxwell's equations . . . . . . . . . . 485--505
Anonymous Author Index volume . . . . . . . . . . 507--508
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Makoto Natori and
Zhong-Ci Shi and
Takashi Kitagawa Preface . . . . . . . . . . . . . . . . ix--xi
Zhong-Zhi Bai On the convergence of parallel
nonstationary multisplitting iteration
methods . . . . . . . . . . . . . . . . 1--11
Xiaojun Chen and
Kouji Hashimoto Verification methods for nonlinear
equations with saddle point functions 13--24
Yanping Chen Uniform pointwise convergence for a
singularly perturbed problem using
arc-length equidistribution . . . . . . 25--34
Houde Han and
Dongsheng Yin A non-overlap domain decomposition
method for the forward-backward heat
equation . . . . . . . . . . . . . . . . 35--44
Itaru Hataue On analogy and dissimilarity of
dependence of stability on several
parameters in flow simulations . . . . . 45--53
Tetsuya Ishiwata and
Shigetoshi Yazaki On the blow-up rate for fast blow-up
solutions arising in an anisotropic
crystalline motion . . . . . . . . . . . 55--64
Shoji Itoh and
Yusuke Namekawa An improvement in DS--BiCGstab($l$) and
its application for linear systems in
lattice QCD . . . . . . . . . . . . . . 65--75
H. Kanayama and
D. Tagami and
K. Imoto and
S. Sugimoto Finite element computation of magnetic
field problems with the displacement
current . . . . . . . . . . . . . . . . 77--84
Wei Li and
Ichiro Hagiwara and
Takao Yasui and
Hu-awei Chen A method of generating scratched look
calligraphy characters using
mathematical morphology . . . . . . . . 85--90
Etsushi Nakaguchi and
Atsushi Yagi Numerical analysis for semilinear
evolution equations of parabolic type 91--99
Michael K. Ng Circulant and skew-circulant splitting
methods for Toeplitz systems . . . . . . 101--108
Dai Okano and
Hidenori Ogata and
Kaname Amano and
Masaaki Sugihara Numerical conformal mappings of bounded
multiply connected domains by the charge
simulation method . . . . . . . . . . . 109--117
Tetsuya Sakurai and
Hiroshi Sugiura A projection method for generalized
eigenvalue problems using numerical
integration . . . . . . . . . . . . . . 119--128
Baorui Song and
Hua Lian Convergence of the rational interpolants
of Stieltjes functions . . . . . . . . . 129--135
Teruo Ushijima and
Fumihiro Chiba Error estimates for a fundamental
solution method applied to reduced wave
problems in a domain exterior to a disc 137--148
Ren-hong Wang and
Zhi-qiang Xu Discrete truncated powers and lattice
points in rational polytope . . . . . . 149--159
Jiro Watanabe On incompressible viscous fluid flows
with slip boundary conditions . . . . . 161--172
Nobito Yamamoto and
Keisuke Hayakawa Error estimation with guaranteed
accuracy of finite element method in
nonconvex polygonal domains . . . . . . 173--183
Lung-an Ying and
Xin-ting Zhang Finite difference method for detonation
waves . . . . . . . . . . . . . . . . . 185--193
Shuzi Zhou and
Wuping Zhan A new domain decomposition method for an
HJB equation . . . . . . . . . . . . . . 195--204
Mark W. Coffey On some log--cosine integrals related to
$ \zeta (3) $, $ \zeta (4) $, and $
\zeta (6) $ . . . . . . . . . . . . . . 205--215
G. Vanden Berghe and
M. Van Daele and
H. Vande Vyver Exponential fitted Runge--Kutta methods
of collocation type: fixed or variable
knot points? . . . . . . . . . . . . . . 217--239
Yong He and
Min Wu Absolute stability for multiple delay
general Lur'e control systems with
multiple nonlinearities . . . . . . . . 241--248
B. Buchwald and
G. Mühlbach Construction of B-splines for
generalized spline spaces generated from
local ECT-systems . . . . . . . . . . . 249--267
E. H. Ayachour A fast implementation for GMRES method 269--283
M. S. Abou-Dina and
A. F. Ghaleb On the boundary integral formulation of
the plane theory of elasticity
(computational aspects) . . . . . . . . 285--317
Mourad E. H. Ismail A generalization of a theorem of Bochner 319--324
M. Kzaz and
F. Maach and
J. Van Iseghem Asymptotic expansions for Laguerre-like
orthogonal polynomials . . . . . . . . . 325--339
Ren-Chuen Chen and
Jinn-Liang Liu Monotone iterative methods for the
adaptive finite element solution of
semiconductor equations . . . . . . . . 341--364
Ivar Tammeraid Several remarks on acceleration of
convergence using generalized linear
methods of summability . . . . . . . . . 365--373
Shihua Chen and
Junhua Zhang and
Todd Young Existence of positive periodic solution
for nonautonomous predator--prey system
with diffusion and time delay . . . . . 375--386
Y. Wang and
Y. B. Zhao and
G. W. Wei A note on the numerical solution of
high-order differential equations . . . 387--398
Weifu Fang and
Kazufumi Ito Identification of contact regions in
semiconductor transistors by level-set
methods . . . . . . . . . . . . . . . . 399--410
Luigi C. Berselli and
Traian Iliescu A higher-order subfilter-scale model for
large eddy simulation . . . . . . . . . 411--430
O. Chau and
J. R. Fernández and
M. Shillor and
M. Sofonea Variational and numerical analysis of a
quasistatic viscoelastic contact problem
with adhesion . . . . . . . . . . . . . 431--465
Ju H. Park and
Ho Y. Jung On the exponential stability of a class
of nonlinear systems including delayed
perturbations . . . . . . . . . . . . . 467--471
Anonymous Author Index volume . . . . . . . . . . 473--474
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
R. Jagannathan and
S. Kanemitsu and
G. Vanden Berghe and
W. Van Assche International Conference on Special
Functions and Their Applications
(ICSF2002) . . . . . . . . . . . . . . . xi--xiv
W. Van Assche and
G. Vanden Berghe and
J. Van der Jeugt K. Srinivasa Rao and his work . . . . . 1--8
A. K. Agarwal An analogue of Euler's identity and new
combinatorial properties of $n$-colour
compositions . . . . . . . . . . . . . . 9--15
José B. Almeida and
Vasudevan Lakshminarayanan Wigner distribution transformations in
high-order systems . . . . . . . . . . . 17--26
R. Balasubramanian and
S. Kanemitsu and
K. Ramachandra On ideal-function-like functions . . . . 27--36
Nayandeep Deka Baruah and
Nipen Saikia Some general theorems on the explicit
evaluations of Ramanujan's cubic
continued fraction . . . . . . . . . . . 37--51
Bruce C. Berndt and
Ae Ja Yee and
Jinhee Yi Theorems on partitions from a page in
Ramanujan's lost notebook . . . . . . . 53--68
Heng Huat Chan and
Richard P. Lewis Partition identities and congruences
associated with the Fourier coefficients
of the Euler products . . . . . . . . . 69--75
Shaun Cooper Cubic theta functions . . . . . . . . . 77--94
Remy Y. Denis and
S. N. Singh and
S. P. Singh On certain transformations of poly-basic
bilateral hypergeometric series . . . . 95--101
N. Gurappa and
Prasanta K. Panigrahi and
T. Shreecharan A new perspective on single and
multi-variate differential equations . . 103--112
M. Hashimoto and
S. Kanemitsu and
Y. Tanigawa and
M. Yoshimoto and
W.-P. Zhang On some slowly convergent series
involving the Hurwitz zeta-function . . 113--123
C. M. Joshi and
Yashoverdhan Vyas Extensions of certain classical
integrals of Erdélyi for Gauss
hypergeometric functions . . . . . . . . 125--138
Subuhi Khan and
M. A. Pathan Lie-theoretic generating relations of
Hermite $2$D polynomials . . . . . . . . 139--146
C. Krattenthaler and
H. Rosengren On a hypergeometric identity of Gelfand,
Graev and Retakh . . . . . . . . . . . . 147--158
C. Krattenthaler and
K. Srinivasa Rao Automatic generation of hypergeometric
identities by the beta integral method 159--173
Gilles Lachaud Spectral analysis and the Riemann
hypothesis . . . . . . . . . . . . . . . 175--190
S. Lievens and
J. Van der Jeugt Realizations of coupled vectors in the
tensor product of representations of $
\mathfrak {su}(1, 1) $ and $ \mathfrak
{su}(2) $ . . . . . . . . . . . . . . . 191--208
Katsuhisa Mimachi and
Masaaki Yoshida The reciprocity relation of the Selberg
function . . . . . . . . . . . . . . . . 209--215
Katsuya Miyake Some families of Mordell curves
associated to cubic fields . . . . . . . 217--231
Michitomo Nishizawa $ U_{r, s}(\mathfrak {gl}_4) $-symmetry
for $ (r, s)$-hypergeometric series . . 233--239
R. S. Pathak and
M. M. Dixit Continuous and discrete Bessel wavelet
transforms . . . . . . . . . . . . . . . 241--250
M. A. Pathan and
M. Kamarujjama and
M. Khursheed Alam On multiindices and multivariables
presentation of the Voigt functions . . 251--257
R. Ramanathan Some properties of an extended Wigner
function . . . . . . . . . . . . . . . . 259--263
Tanguy Rivoal Selberg's integral and linear forms in
zeta values . . . . . . . . . . . . . . 265--270
Vivek Sahai and
Shalini Srivastava On irreducible $p$, $q$-representations
of $ \mathfrak {gl}(2)$ . . . . . . . . 271--281
Michael Schlosser A nonterminating $_8 \phi_7$ summation
for the root system $ C_r$ . . . . . . . 283--296
R. Sridhar and
R. Jagannathan On the $q$-analogues of the Zassenhaus
formula for disentangling exponential
operators . . . . . . . . . . . . . . . 297--305
K. M. Tamizhmani and
A. Ramani and
T. Tamizhmani and
B. Grammaticos Special functions as solutions to
discrete Painlevé equations . . . . . . . 307--313
G. Vanden Berghe and
H. De Meyer A special identity between three $_2 F_1
(a, b; c; 4)$ hypergeometric series . . 315--321
Michel Waldschmidt Algebraic values of analytic functions 323--333
Anonymous Author Index Volume 160 . . . . . . . . 335--336
Anonymous Author Index Volumes 151--160 . . . . . 337--360
Anonymous Subject Index Volume 151--160 . . . . . 361--387
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Detong Zhu A new affine scaling interior point
algorithm for nonlinear optimization
subject to linear equality and
inequality constraints . . . . . . . . . 1--25
Donald A. French Analysis of the convergence behavior of
the static localized nonlinear
approximation for a problem in
electromagnetism . . . . . . . . . . . . 27--39
Bernie D. Shizgal and
Jae-Hun Jung Towards the resolution of the Gibbs
phenomena . . . . . . . . . . . . . . . 41--65
Chunhua Feng and
Peiguang Wang Almost periodic solutions of forced
Liénard-type equations with time delays 67--74
Stefan Kunis and
Daniel Potts Fast spherical Fourier algorithms . . . 75--98
F. Alberto Grünbaum and
Plamen Iliev A noncommutative version of the
bispectral problem . . . . . . . . . . . 99--118
Karol Mikula and
Fiorella Sgallari Semi-implicit finite volume scheme for
image processing in $3$D cylindrical
geometry . . . . . . . . . . . . . . . . 119--132
Masaji Watanabe and
Fusako Kawai and
Masaru Shibata and
Shigeo Yokoyama and
Yasuhiro Sudate Computational method for analysis of
polyethylene biodegradation . . . . . . 133--144
Víctor Domínguez High-order collocation and quadrature
methods for some logarithmic kernel
integral equations on open arcs . . . . 145--159
Rainer Kress and
Kuo-Ming Lee Integral equation methods for scattering
from an impedance crack . . . . . . . . 161--177
B. R. Fabijonas and
D. W. Lozier and
J. M. Rappoport Algorithms and codes for the Macdonald
function: recent progress and
comparisons . . . . . . . . . . . . . . 179--192
Zhimin He On the existence of positive solutions
of $p$-Laplacian difference equations 193--201
Ya Yan Lu Computing a matrix function for
exponential integrators . . . . . . . . 203--216
Shangjiang Guo and
Lihong Huang Periodic solutions in an inhibitory
two-neuron network . . . . . . . . . . . 217--229
Deren Han A proximal decomposition algorithm for
variational inequality problems . . . . 231--244
O. Axelsson and
S. V. Gololobov A combined method of local Green's
functions and central difference method
for singularly perturbed
convection--diffusion problems . . . . . 245--257
S. Maset Numerical solution of retarded
functional differential equations as
abstract Cauchy problems . . . . . . . . 259--282
J. M. Franco A 5(3) pair of explicit ARKN methods for
the numerical integration of perturbed
oscillators . . . . . . . . . . . . . . 283--293
Sotirios E. Notaris New interpolatory quadrature formulae
with Gegenbauer abscissae . . . . . . . 295--312
J. Horák and
W. Reichel Analytical and numerical results for the
Fucík spectrum of the Laplacian . . . . . 313--338
Peter Kravanja and
Tetsuya Sakurai and
Hiroshi Sugiura and
Marc Van Barel A perturbation result for generalized
eigenvalue problems and its application
to error estimation in a quadrature
method for computing zeros of analytic
functions . . . . . . . . . . . . . . . 339--347
Robert Eymard and
Thierry Gallouët and
Jullien Vovelle Limit boundary conditions for finite
volume approximations of some physical
problems . . . . . . . . . . . . . . . . 349--369
George A. Baker, Jr. Some structural properties of two
counter-examples to the
Baker--Gammel--Wills conjecture . . . . 371--391
Toshiyuki Koto Stability of $ \theta $-methods for
delay integro-differential equations . . 393--404
Cheon Seoung Ryoo and
Mitsuhiro T. Nakao Numerical verification of solutions for
obstacle problems . . . . . . . . . . . 405--416
H. Lamba An adaptive timestepping algorithm for
stochastic differential equations . . . 417--430
Mayinur Muhammad and
Masatake Mori Double exponential formulas for
numerical indefinite integration . . . . 431--448
S.-H. Lui On monotone iteration and Schwarz
methods for nonlinear parabolic PDEs . . 449--468
Robert R. Ferdinand Numerical scheme approximating solution
and parameters in a beam equation . . . 469--476
Leonid Berezansky and
Elena Braverman Linearized oscillation theory for a
nonlinear delay impulsive equation . . . 477--495
Anonymous Author Index volume 161 . . . . . . . . 497--498
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Said El Hajji and
Nathalie Revol and
Paul Van Dooren Special Issue on Linear Algebra and
Arithmetic, Proceedings of the ALA'01
Conference held in Rabat, Morocco on May
28--31, 2001 . . . . . . . . . . . . . . ix--x
M. A. Barkatou On super-irreducible forms of linear
differential systems with rational
function coefficients . . . . . . . . . 1--15
Sidi Mohammed Sedjelmaci A modular reduction for GCD computation 17--31
Fabrice Rouillier and
Paul Zimmermann Efficient isolation of polynomial's real
roots . . . . . . . . . . . . . . . . . 33--50
Werner Krandick Trees and jumps and real roots . . . . . 51--55
Philippe Langlois More accuracy at fixed precision . . . . 57--77
Laurent Granvilliers An interval component for continuous
constraints . . . . . . . . . . . . . . 79--92
Svetoslav Markov On quasilinear spaces of convex bodies
and intervals . . . . . . . . . . . . . 93--112
Claude-Pierre Jeannerod On matrix perturbations with minimal
leading Jordan structure . . . . . . . . 113--132
Erich Kaltofen and
Gilles Villard Computing the sign or the value of the
determinant of an integer matrix, a
complexity survey . . . . . . . . . . . 133--146
Abdeljalil Nachaoui Numerical linear algebra for
reconstruction inverse problems . . . . 147--164
M. Essaouini and
A. Nachaoui and
S. El Hajji Numerical method for solving a class of
nonlinear elliptic inverse problems . . 165--181
Souad El Bernoussi Best ellipsoidal relaxation to solve a
nonconvex problem . . . . . . . . . . . 183--191
A. Addou and
J. Zahi On the solvability of a unilateral
obstacle problem on the boundary . . . . 193--199
Xiao-Qing Jin and
Vai-kuong Sin and
Li-li Song Circulant preconditioned WR--BVM methods
for ODE systems . . . . . . . . . . . . 201--211
K. Gallivan and
A. Vandendorpe and
P. Van Dooren Sylvester equations and projection-based
model reduction . . . . . . . . . . . . 213--229
N. Guessous and
O. Souhar Multilevel block ILU preconditioner for
sparse nonsymmetric $M$-matrices . . . . 231--246
Erricos John Kontoghiorghes Computational methods for modifying
seemingly unrelated regressions models 247--261
A. Boulmakoul Generalized path-finding algorithms on
semirings and the fuzzy shortest path
problem . . . . . . . . . . . . . . . . 263--272
El Bachir Ameur and
Driss Sbibih Quadratic spline wavelets with arbitrary
simple knots on the sphere . . . . . . . 273--286
O. Nouisser and
D. Sbibih Interpolation by new B-splines on a four
directional mesh of the plane . . . . . 287--298
M. Foupouagnigni and
W. Koepf and
A. Ronveaux Factorization of fourth-order
differential equations for perturbed
classical orthogonal polynomials . . . . 299--326
Zhengce Zhang and
Kaitai Li Spike-layered solutions with compact
support to some singularly perturbed
quasilinear elliptic problems in general
smooth domains . . . . . . . . . . . . . 327--340
Lin-Lin Wang and
Wan-Tong Li Periodic solutions and permanence for a
delayed nonautonomous ratio-dependent
predator--prey model with Holling type
functional response . . . . . . . . . . 341--357
K. H. Kwon and
D. W. Lee Tchebycheff polynomials on a disk . . . 359--363
Rida T. Farouki and
Chang Yong Han and
Carla Manni and
Alessandra Sestini Characterization and construction of
helical polynomial space curves . . . . 365--392
YoonMee Ham and
Sang-Gu Lee Effects on global coupling of an
interface problem in an
activator-inhibitor system . . . . . . . 393--409
K. Hooman and
A. A. Ranjbar-Kani A perturbation based analysis to
investigate forced convection in a
porous saturated tube . . . . . . . . . 411--419
Wan-Tong Li and
Hong-Rui Sun Multiple positive solutions for
nonlinear dynamical systems on a measure
chain . . . . . . . . . . . . . . . . . 421--430
Xiao-qing Jin and
Vai-kuong Sin and
Li-li Song Preconditioned WR--LMF-based method for
ODE systems . . . . . . . . . . . . . . 431--444
Igor Boglaev On monotone iterative methods for a
nonlinear singularly perturbed
reaction--diffusion problem . . . . . . 445--466
Jianguo Si and
Weinian Zhang Analytic solutions of a class of
iterative functional differential
equations . . . . . . . . . . . . . . . 467--481
Guergana Petrova Cubature formulae for spheres, simplices
and balls . . . . . . . . . . . . . . . 483--496
Anonymous Author Index volume . . . . . . . . . . 497--498
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
R. H. Wang and
K. L. Teo Preface . . . . . . . . . . . . . . . . xi--xii
G. A. Evans Multiple quadrature using highly
oscillatory quadrature methods . . . . . 1--13
W. H. Hui A unified coordinates approach to
computational fluid dynamics . . . . . . 15--28
K. Schittkowski Data fitting in partial differential
algebraic equations: some academic and
industrial applications . . . . . . . . 29--57
Zhong Wan-Xie On precise integration method . . . . . 59--78
Nicolas Bacaër Numerical analysis of generalised
max-plus eigenvalue problems . . . . . . 79--89
Hongyang Chao and
Ming Wei Rate scalable video coding technology
based on flexible block wavelet . . . . 91--100
Yuanbei Deng and
Xiyan Hu and
Lei Zhang The solvability conditions for the
inverse eigenvalue problem of the
symmetrizable matrices . . . . . . . . . 101--106
Lutai Guan and
Bin Liu Surface design by natural splines over
refined grid points . . . . . . . . . . 107--115
Yu-jing Guan and
Li-wen Han and
Yun-shi Zhou $M$-band subdivision of multivariate
B-spline . . . . . . . . . . . . . . . . 117--126
Takemitsu Hasegawa Uniform approximations to finite Hilbert
transform and its derivative . . . . . . 127--138
Daren Huang and
Feng Li and
Lihua Yang $ L^1 $-Based decomposition and
reconstruction algorithms and
$W$-matrices . . . . . . . . . . . . . . 139--153
Chong-Jun Li and
Ren-Hong Wang The multivariate quartic NURBS surfaces 155--164
Zhengxue Li and
Wei Wu and
Yulong Tian Convergence of an online gradient method
for feedforward neural networks with
stochastic inputs . . . . . . . . . . . 165--176
Xue-Zhang Liang and
Li-Hong Cui and
Jie-Lin Zhang The application of Cayley--Bacharach
Theorem to bivariate Lagrange
interpolation . . . . . . . . . . . . . 177--187
Xiaonan Luo and
Ning Liu and
Chengying Gao Fairing geometric modeling based on
$4$-point interpolatory subdivision
scheme . . . . . . . . . . . . . . . . . 189--197
Luo Zhongxuan and
Li Fengzhi and
Liu Yingxi and
Li Yi Effect of the environmental atmosphere
on heat, water and gas transfer within
hygroscopic fabrics . . . . . . . . . . 199--210
Xiaoyuan Qian and
Xuegang Huang Reconstruction of surfaces of revolution
with partial sampling . . . . . . . . . 211--217
Jieqing Tan and
Ping Jiang A Neville-like method via continued
fractions . . . . . . . . . . . . . . . 219--232
K. N. To and
C. C. Lim Perturbation to enhance support vector
machines for classification . . . . . . 233--239
Jinbo Wang and
Chuanqing Gu Vector valued Thiele--Werner-type
osculatory rational interpolants . . . . 241--252
Ren-Hong Wang and
Jing-Xin Wang Quasi-interpolations with interpolation
property . . . . . . . . . . . . . . . . 253--257
Ren-Hong Wang and
Cheng-de Zheng Cubic Hermite--Padé approximation to the
exponential function . . . . . . . . . . 259--268
Ren-Hong Wang and
Chun-Gang Zhu Cayley--Bacharach Theorem of piecewise
algebraic curves . . . . . . . . . . . . 269--276
Ruomei Wang and
Yi Li and
Fang You and
Xiaonan Luo Rational recurrence curves and
recurrence surfaces in multivariate
$B$-form on some regions . . . . . . . . 277--285
Shaoming Wang A smooth surface interpolation to $3$D
triangulations . . . . . . . . . . . . . 287--293
Guoliang Xu Surface fairing and featuring by mean
curvature motions . . . . . . . . . . . 295--309
W. B. Yang and
H. Q. Zhang and
C. K. Chan and
W. Y. Lin Large eddy simulation of mixing layer 311--318
K. F. Yu and
K. S. Lau and
C. K. Chan Numerical simulation of gas-particle
flow in a single-side backward-facing
step flow . . . . . . . . . . . . . . . 319--331
Zeyin Zhang and
Daren Huang Parameterization of $m$ band affine
frames with pre-assigned scaling filter 333--342
Huan-xi Zhao and
Gong-qin Zhu and
Jie-qing Tan A \'Sleszy\'nski--Pringsheim theorem for
vector valued continued fractions and
its optimal error bounds . . . . . . . . 343--350
F. Ghoreishi and
S. Mohammad Hosseini The Tau method and a new preconditioner 351--379
Maria Alanelli and
Apostolos Hadjidimos Block Gauss elimination followed by a
classical iterative method for the
solution of linear systems . . . . . . . 381--400
Paola Baratella and
Annamaria Palamara Orsi A new approach to the numerical solution
of weakly singular Volterra integral
equations . . . . . . . . . . . . . . . 401--418
S. D. Marinkovi\'c and
B. Dankovi\'c and
M. S. Stankovi\'c and
P. M. Rajkovi\'c Orthogonality of some sequences of the
rational functions and the Müntz
polynomials . . . . . . . . . . . . . . 419--427
Javier Sesma The Temme's sum rule for confluent
hypergeometric functions revisited . . . 429--431
Renate Winkler Erratum to: ``Stochastic differential
algebraic equations of index 1 and
applications in circuit simulation'':
[J. Comput. Appl. Math. \bf 157 (2003)
477--505] . . . . . . . . . . . . . . . 433--433
Renate Winkler Stochastic differential algebraic
equations of index 1 and applications in
circuit simulation . . . . . . . . . . . 435--463
Anonymous Author Index volume . . . . . . . . . . 465--466
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
M. J. Goovaerts and
S. Vandewalle and
L. Wuytack Proceedings of ICCAM-2002 . . . . . . . xi--xi
Pilar Abad and
José P. Suárez Bi-factorial analysis for resolution of
GPS equations . . . . . . . . . . . . . 1--10
Mina B. Abd-el-Malek and
Magda M. Kassem and
Mohammad L. Mekky Similarity solutions for unsteady
free-convection flow from a continuous
moving vertical surface . . . . . . . . 11--24
Youcef Amirat and
Olivier Bodart Numerical approximation of laminar flows
over rough walls with sharp asperities 25--38
Silvia Bacchelli and
Serena Papi Filtered wavelet thresholding methods 39--52
S. Berres and
R. Bürger and
K. H. Karlsen Central schemes and systems of
conservation laws with discontinuous
coefficients modeling gravity separation
of polydisperse suspensions . . . . . . 53--80
Jean-Paul Berrut and
Hans D. Mittelmann Adaptive point shifts in rational
approximation with optimized denominator 81--92
Andrzej Bielecki and
Dariusz Jablo\'nski and
Marek Kedzierski Properties and applications of weakly
nonlinear neurons . . . . . . . . . . . 93--106
Andrzej Bielecki and
Jerzy Ombach Shadowing property in analysis of neural
networks dynamics . . . . . . . . . . . 107--115
D. Bors and
S. Walczak Stability of nonlinear elliptic systems
with distributed parameters and variable
boundary data . . . . . . . . . . . . . 117--130
A. Bourchtein and
V. Kadychnikov and
L. Bourchtein Some properties of the vertical
structure matrices of the atmospheric
models . . . . . . . . . . . . . . . . . 131--144
Luigi Brugnano and
Cecilia Magherini The BiM code for the numerical solution
of ODEs . . . . . . . . . . . . . . . . 145--158
B. Bujanda and
J. C. Jorge Efficient linearly implicit methods for
nonlinear multidimensional parabolic
problems . . . . . . . . . . . . . . . . 159--174
A. Bultheel and
M. Van Barel and
P. Van Gucht Orthogonal basis functions in discrete
least-squares rational approximation . . 175--194
C. Clavero and
J. L. Gracia HODIE finite difference schemes on
generalized Shishkin meshes . . . . . . 195--206
A. N. Danilin and
D. V. Snegovski and
D. B. Volkov-Bogorodski On implicit algorithms of continuation
method with applications to dynamic
systems . . . . . . . . . . . . . . . . 207--224
M. C. De Bonis and
C. Frammartino and
G. Mastroianni Numerical methods for some special
Fredholm integral equations on the real
line . . . . . . . . . . . . . . . . . . 225--243
I. C. Demetriou A theorem for piecewise convex--concave
data approximation . . . . . . . . . . . 245--254
L. Dieci and
C. Elia and
L. Lopez Smooth SVD on the Lorentz group with
application to computation of Lyapunov
exponents . . . . . . . . . . . . . . . 255--264
R. I. Dmytryshyn The multidimensional generalization of
$g$-fractions and their application . . 265--284
Josep Domingo-Ferrer and
Vicenç Torra Disclosure risk assessment in
statistical data protection . . . . . . 285--293
A. B. Dragut A weakly monotonic backward induction
algorithm on finite bounded subsets of
vector lattices . . . . . . . . . . . . 295--306
M. Ganesh Fully discrete spectral methods for
boundary integral equations on slender
spheroids . . . . . . . . . . . . . . . 307--322
P. Ghelardoni and
G. Gheri and
M. Marletta A quasi-extrapolation procedure for
error estimation of numerical methods in
Sturm--Liouville eigenproblems . . . . . 323--335
Marc Goovaerts and
Ann De Schepper and
Marc Decamps Closed-form approximations for diffusion
densities: a path integral approach . . 337--364
Chuanqing Gu Matrix Padé-type approximant and
directional matrix Padé approximant in
the inner product space . . . . . . . . 365--385
Jaroslav Haslinger and
Radek Kucera and
Zdenek Dostál An algorithm for the numerical
realization of $3$D contact problems
with Coulomb friction . . . . . . . . . 387--408
M. A. Hernández and
M. J. Rubio A modification of Newton's method for
nondifferentiable equations . . . . . . 409--417
Anwar Hussein and
Ke Chen Fast computational methods for locating
fold points for the power flow equations 419--430
P. Junghanns Optimal control for a parametrized
family of nonlinear Cauchy singular
integral equations . . . . . . . . . . . 431--454
A. Kouibia and
M. Pasadas Construction of surfaces by discrete
variational splines with parallelism
conditions . . . . . . . . . . . . . . . 455--467
F. Laouafa and
P. Royis An iterative algorithm for finite
element analysis . . . . . . . . . . . . 469--491
Nedzad Limi\'c and
Mladen Rogina Numerical solutions of Dirichlet problem
for elliptic operator in divergence form
with a right-hand side measure . . . . . 493--516
Abderrim Maazouz and
Andro Mikelic and
Jérôme Pousin and
Eric Zeltz Fluid injection model without surface
tension for resins in thin molds . . . . 517--528
W. Malfliet The tanh method: a tool for solving
certain classes of nonlinear evolution
and wave equations . . . . . . . . . . . 529--541
R. Mallier and
G. Alobaidi Interest rate swaps under CIR . . . . . 543--554
José Matos and
Maria João Rodrigues and
Paulo B. Vasconcelos New implementation of the Tau method for
PDEs . . . . . . . . . . . . . . . . . . 555--567
Gradimir V. Milovanovi\'c and
Miodrag M. Spalevi\'c Error analysis in some
Gauss--Turán--Radau and
Gauss--Turán--Lobatto quadratures for
analytic functions . . . . . . . . . . . 569--586
Hiroshi Niki and
Kyouji Harada and
Munenori Morimoto and
Michio Sakakihara The survey of preconditioners used for
accelerating the rate of convergence in
the Gauss--Seidel method . . . . . . . . 587--600
Sergey Repin and
Stefan Sauter and
Anton Smolianski A posteriori error estimation for the
Poisson equation with mixed
Dirichlet/Neumann boundary conditions 601--612
Andreas Rößler Runge--Kutta methods for Stratonovich
stochastic differential equation systems
with commutative noise . . . . . . . . . 613--627
Volker Schulz Simultaneous solution approaches for
large optimization problems . . . . . . 629--641
Yuri F. Smirnov and
Corrado Campigotto The quantum $q$-Krawtchouk and
$q$-Meixner polynomials and their
related $D$-functions for the quantum
groups $ {\rm SU}_q(2) $ and $ {\rm
SU}_q(1, 1) $ . . . . . . . . . . . . . 643--660
Tadeusz Stys A higher accuracy finite difference
method for an elliptic equation of order
four . . . . . . . . . . . . . . . . . . 661--672
Masaaki Sugihara and
Takayasu Matsuo Recent developments of the Sinc
numerical methods . . . . . . . . . . . 673--689
Howard Swann On solenoidal high-degree polynomial
approximations to solutions of the
stationary Navier--Stokes equations . . 691--706
H. Taseli Accurate numerical bounds for the
spectral points of singular
Sturm--Liouville problems over $ 0 < x <
\infty $ . . . . . . . . . . . . . . . . 707--722
Hiroshi Uesaka Oscillation or nonoscillation property
for semilinear wave equations . . . . . 723--730
Ellen Van Camp and
Nicola Mastronardi and
Marc Van Barel Two fast algorithms for solving
diagonal-plus-semiseparable linear
systems . . . . . . . . . . . . . . . . 731--747
J. Van Deun and
A. Bultheel An interpolation algorithm for
orthogonal rational functions . . . . . 749--762
Patricia J. Y. Wong Abel--Gontscharoff interpolation:
continuous, discrete and time scale . . 763--782
R. K. Wright Local spline approximation of
discontinuous functions and location of
discontinuities, given low-order Fourier
coefficient information . . . . . . . . 783--795
Chengjian Zhang and
Stefan Vandewalle Stability analysis of Volterra
delay-integro-differential equations and
their backward differentiation time
discretization . . . . . . . . . . . . . 797--814
Anonymous Author Index volumes 164--165 . . . . . 815--817
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Song Wang and
John J. H. Miller Preface . . . . . . . . . . . . . . . . ix--ix
E. Aliu and
J. J. Shepherd Overlapping layers in a gas lubrication
problem . . . . . . . . . . . . . . . . 1--12
Igor Boglaev and
Vic Duoba On an uniform multidomain decomposition
method applied to a singularly perturbed
problem with regular boundary layers . . 13--29
X. Cai and
F. Liu Uniform convergence difference schemes
for singularly perturbed mixed boundary
problems . . . . . . . . . . . . . . . . 31--54
Graham F. Carey and
M. Anderson and
B. Carnes and
B. Kirk Some aspects of adaptive grid technology
related to boundary and interior layers 55--86
Graham Carey and
Neville Fowkes and
Amanda Staelens and
Anand Pardhanani A class of coupled nonlinear reaction
diffusion models exhibiting fingering 87--99
J. Cousteix and
J. Mauss Approximations of the Navier--Stokes
equations for high Reynolds number flows
past a solid wall . . . . . . . . . . . 101--122
Beno\^\it Desjardins and
Emmanuel Dormy and
Emmanuel Grenier Boundary layer instability at the top of
the Earth's outer core . . . . . . . . . 123--131
P. A. Farrell and
A. F. Hegarty and
J. J. H. Miller and
E. O'Riordan and
G. I. Shishkin Singularly perturbed
convection--diffusion problems with
boundary and weak interior layers . . . 133--151
C.-S. Huang and
S. Wang and
K. L. Teo On application of an alternating
direction method to
Hamilton--Jacobin--Bellman equations . . 153--166
J. C. Jorge and
B. Bujanda Numerical methods for evolutionary
reaction--diffusion problems with
nonlinear reaction terms . . . . . . . . 167--180
Zi-Cai Li and
Hsin-Yun Hu and
Chung-Hua Hsu and
Song Wang Particular solutions of singularly
perturbed partial differential equations
with constant coefficients in
rectangular domains, Part I. Convergence
analysis . . . . . . . . . . . . . . . . 181--208
F. Liu and
V. Anh and
I. Turner Numerical solution of the space
fractional Fokker--Planck equation . . . 209--219
J. J. H. Miller and
G. I. Shishkin and
B. Koren and
L. P. Shishkina Grid approximation of a singularly
perturbed boundary value problem
modelling heat transfer in the case of
flow over a flat plate with suction of
the boundary layer . . . . . . . . . . . 221--232
E. O'Riordan and
G. I. Shishkin Singularly perturbed parabolic problems
with non-smooth data . . . . . . . . . . 233--245
G. I. Shishkin Discrete approximations of solutions and
derivatives for a singularly perturbed
parabolic convection--diffusion equation 247--266
G. I. Shishkin Limitations of adaptive mesh refinement
techniques for singularly perturbed
problems with a moving interior layer 267--280
Chris J. Smith and
Roland Mallier Removing the separation singularity in a
barotropic ocean with bottom friction 281--290
Katarina Surla and
Zorica Uzelac A uniformly accurate spline collocation
method for a normalized flux . . . . . . 291--305
B. Wiwatanapataphee and
Y. H. Wu and
J. Archapitak and
P. F. Siew and
B. Unyong A numerical study of the turbulent flow
of molten steel in a domain with a
phase-change boundary . . . . . . . . . 307--319
Li-Chin Yeh A singularly perturbed
reaction--diffusion problem with
inhomogeneous environment . . . . . . . 321--341
P. A. Zegeling Tensor-product adaptive grids based on
coordinate transformations . . . . . . . 343--360
M. Z. Liu and
M. H. Song and
Z. W. Yang Stability of Runge--Kutta methods in the
numerical solution of equation $ u'(t) =
a u(t) + a_0 u([t]) $ . . . . . . . . . 361--370
Shiping Lu and
Weigao Ge Existence of positive periodic solutions
for neutral logarithmic population model
with multiple delays . . . . . . . . . . 371--383
S. Naire and
R. J. Braun and
S. A. Snow A 2 + 1 dimensional insoluble surfactant
model for a vertical draining free film 385--410
Zhonghua Lu and
Xuebin Chi and
Lansun Chen Global attractivity of nonautonomous
stage-structured population models with
dispersal and harvest . . . . . . . . . 411--425
Takeo K. Ushijima and
Shigetoshi Yazaki Convergence of a crystalline
approximation for an area-preserving
motion . . . . . . . . . . . . . . . . . 427--452
Hai-Feng Huo and
Wan-Tong Li Periodic solution of a delayed
predator--prey system with
Michaelis--Menten type functional
response . . . . . . . . . . . . . . . . 453--463
Jaume Giné and
Xavier Santallusia Implementation of a new algorithm of
computation of the Poincaré--Liapunov
constants . . . . . . . . . . . . . . . 465--476
Fernando Casas Numerical integration methods for the
double-bracket flow . . . . . . . . . . 477--495
Jongwoo Lee and
Bengt Fornberg Some unconditionally stable time
stepping methods for the $3$D Maxwell's
equations . . . . . . . . . . . . . . . 497--523
Mark W. Coffey Relations and positivity results for the
derivatives of the Riemann $ \xi $
function . . . . . . . . . . . . . . . . 525--534
Carlos Rivero and
Ángela Castillo and
Pedro J. Zufiria and
Teófilo Valdés Global dynamics of a system governing an
algorithm for regression with censored
and non-censored data under general
errors . . . . . . . . . . . . . . . . . 535--551
R. K. Pandey and
Arvind K. Singh On the convergence of a finite
difference method for a class of
singular boundary value problems arising
in physiology . . . . . . . . . . . . . 553--564
Jae Heon Yun and
Sang Wook Kim Convergence of two-stage iterative
methods using incomplete factorization 565--580
Moawwad E. A. El-Mikkawy A fast algorithm for evaluating $n$-th
order tri-diagonal determinants . . . . 581--584
Ioannis K. Argyros On the comparison of a weak variant of
the Newton--Kantorovich and Miranda
theorems . . . . . . . . . . . . . . . . 585--589
Dmitri V. Maklakov Some remarks on the exact solution for
an optimal impermeable parachute problem 591--596
Anonymous Author Index volume . . . . . . . . . . 597--598
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
J. M. Franco Exponentially fitted explicit
Runge--Kutta--Nyström methods . . . . . . 1--19
S. Kutluay and
A. Esen and
I. Dag Numerical solutions of the Burgers'
equation by the least-squares quadratic
B-spline finite element method . . . . . 21--33
Véronique Hédou-Rouillier A finite difference method to solve the
forward problem in
electroencephalography (EEG) . . . . . . 35--58
S. K. Mishra and
S. Y. Wang and
K. K. Lai Complex minimax programming under
generalized convexity . . . . . . . . . 59--71
Lin Wang and
Xingfu Zou Hopf bifurcation in bidirectional
associative memory neural networks with
delays: analysis and computation . . . . 73--90
J.-D. Benamou and
O. Lafitte and
I. Solliec and
R. Sentis A geometric optics method for
high-frequency electromagnetic fields
computations near fold caustics --- Part
II. The energy . . . . . . . . . . . . . 91--134
H. B. Ji A global convergent algorithm for flows
in a two-dimensional network . . . . . . 135--146
Huaian Diao and
Yimin Wei and
Sanzheng Qiao Displacement rank of the Drazin inverse 147--161
Jayadeep Gopalakrishnan and
Leszek F. Demkowicz Quasioptimality of some spectral mixed
methods . . . . . . . . . . . . . . . . 163--182
L. K. Stergioulas and
A. Vourdas The Bargmann analytic representation in
signal analysis . . . . . . . . . . . . 183--192
J. Frauendiener and
C. Klein Hyperelliptic theta-functions and
spectral methods . . . . . . . . . . . . 193--218
M. Be\'ska and
K. Dziedziul Mazur--Orlicz theorem and asymptotic
formula for the error in supreme norm 219--225
Xiang-Gui Li and
C. K. Chan High-order schemes for Hamilton--Jacobi
equations on triangular meshes . . . . . 227--241
Ferdinand F. Cap An inhomogeneous eigenvalue problem . . 243--249
Da-Wei Chang A note on the upper bound of the
spectral radius for SOR iteration matrix 251--253
Mohammed Al-Refai Existence, uniqueness and bounds for a
problem in combustion theory . . . . . . 255--269
B. Buchwald and
G. Mühlbach On rational B-splines with prescribed
poles . . . . . . . . . . . . . . . . . 271--291
R. B. Paris On the use of Hadamard expansions in
hyperasymptotic evaluation of
Laplace-type integrals. I: real variable 293--319
R. B. Paris On the use of Hadamard expansions in
hyperasymptotic evaluation of
Laplace-type integrals: II. Complex
variable . . . . . . . . . . . . . . . . 321--343
K. Najib and
D. Sandri and
A.-M. Zine On a posteriori estimates for a
linearized Oldroyd's problem . . . . . . 345--361
M. S. Abou-Dina and
A. F. Ghaleb A variant of Trefftz's method by
boundary Fourier expansion for solving
regular and singular plane
boundary-value problems . . . . . . . . 363--387
Z. Jackiewicz and
H. Podhaisky and
R. Weiner Construction of highly stable two-step
$W$-methods for ordinary differential
equations . . . . . . . . . . . . . . . 389--403
Young Joon Ahn and
Yeon soo Kim and
Youngsuk Shin Approximation of circular arcs and
offset curves by Bézier curves of high
degree . . . . . . . . . . . . . . . . . 405--416
Muhammed I. Syam Finding all real zeros of polynomial
systems using multi-resultant . . . . . 417--428
Amy N. Langville and
William J. Stewart The Kronecker product and stochastic
automata networks . . . . . . . . . . . 429--447
Chu-Li Fu Simplified Tikhonov and Fourier
regularization methods on a general
sideways parabolic equation . . . . . . 449--463
S. R. Fulton and
A. S. Fokas and
C. A. Xenophontos An analytical method for linear elliptic
PDEs and its numerical implementation 465--483
Arjun K. Rathie and
Yong Sup Kim and
Hyeong Kee Song Another method for a new two-term
relation for the hypergeometric function
$_3 F_2$ due to Exton . . . . . . . . . 485--487
Prashant Batra A property of the nearly optimal
root-bound . . . . . . . . . . . . . . . 489--491
Guizhi Chen and
Zhongxiao Jia An analogue of the results of Saad and
Stewart for harmonic Ritz vectors . . . 493--498
Anonymous Author Index volume 167 . . . . . . . . 499--500
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
H. De Schepper and
M. Hogge and
R. Van Keer Preface . . . . . . . . . . . . . . . . xi--xii
Wassila Aggoune and
Hamid Zahrouni and
Michel Potier-Ferry High-order prediction--correction
algorithms for unilateral contact
problems . . . . . . . . . . . . . . . . 1--9
N. N. Anuchina and
V. I. Volkov and
V. A. Gordeychuk and
N. S. Es'kov and
O. S. Ilyutina and
O. M. Kozyrev Numerical simulations of
Rayleigh--Taylor and Richtmyer--Meshkov
instability using MAH-3 code . . . . . . 11--20
Vesna Arnautovski-Toseva and
Leonid Grcev Electromagnetic analysis of horizontal
wire in two-layered soil . . . . . . . . 21--29
L'ubomír Banas Solution of convection--diffusion
equation by the method of
characteristics . . . . . . . . . . . . 31--39
M. K. Banda and
M. Sea\"\id and
A. Klar and
L. Pareschi Compressible and incompressible limits
for hyperbolic systems with relaxation 41--52
F. Bazdidi-Tehrani and
A. Shahmir and
A. Haghparast-Kashani Numerical analysis of a single row of
coolant jets injected into a heated
crossflow . . . . . . . . . . . . . . . 53--63
Emmanuel Bellenger and
Patrice Coorevits New approach for automation of finite
element analysis . . . . . . . . . . . . 65--75
E. H. Boutyour and
H. Zahrouni and
M. Potier-Ferry and
M. Boudi Asymptotic-numerical method for buckling
analysis of shell structures with large
rotations . . . . . . . . . . . . . . . 77--85
Igor A. Brigadnov Duality method for limit analysis of
dielectrics in powerful electric fields 87--94
Paola Causin and
Riccardo Sacco Mixed-hybrid finite elements for the
simulation of thermal oxidation in
semiconductors . . . . . . . . . . . . . 95--105
D. Chamoret and
P. Saillard and
A. Rassineux and
J.-M. Bergheau New smoothing procedures in contact
mechanics . . . . . . . . . . . . . . . 107--116
El Mostafa Daya and
Bouazza Braikat and
Noureddine Damil and
Michel Potier-Ferry Modelisation of modulated vibration
modes of repetitive structures . . . . . 117--124
Herbert De Gersem and
Kay Hameyer and
Thomas Weiland Field-circuit coupled models in
electromagnetic simulation . . . . . . . 125--133
K. De Proft and
L. J. Sluys and
W. P. De Wilde A discrete model for cyclic mode $I$
loading . . . . . . . . . . . . . . . . 135--144
Vladimir Delgado and
Guillaume Kasperski and
Gérard Labrosse Spectrally accurate numerical
incompressible flows with deformed
boundaries: a finite volume
preconditioning method . . . . . . . . . 145--154
Marc Duflot and
Hung Nguyen-Dang Fatigue crack growth analysis by an
enriched meshless method . . . . . . . . 155--164
Patrick Dular The benefits of nodal and edge elements
coupling for discretizing global
constraints in dual magnetodynamic
formulations . . . . . . . . . . . . . . 165--178
Véronique Feldheim and
Paul Lybaert Solution of radiative heat transfer
problems with the discrete transfer
method applied to triangular meshes . . 179--190
B. Flemisch and
Y. Maday and
F. Rapetti and
B. I. Wohlmuth Coupling scalar and vector potentials on
nonmatching grids for eddy currents in a
moving conductor . . . . . . . . . . . . 191--205
Jérôme Fortin and
Patrice Coorevits Selecting contact particles in dynamics
granular mechanics systems . . . . . . . 207--213
Larissa Gorbatikh Mathematical and computational aspects
of nonuniform frictional slip modeling 215--224
J. Gyselinck and
C. Geuzaine and
P. Dular and
W. Legros Multi-harmonic modelling of motional
magnetic field problems using a hybrid
finite element-boundary element
discretisation . . . . . . . . . . . . . 225--234
François Henrotte and
Kay Hameyer Computation of electromagnetic force
densities: Maxwell stress tensor vs.
virtual work principle . . . . . . . . . 235--243
R. H. W. Hoppe Adaptive multigrid and domain
decomposition methods in the computation
of electromagnetic fields . . . . . . . 245--254
V. Kelner and
O. Léonard Application of genetic algorithms to
lubrication pump stacking design . . . . 255--265
Domenico Lahaye and
Stefan Vandewalle and
Kay Hameyer An algebraic multilevel preconditioner
for field-circuit coupled problems . . . 267--275
Gottfried Laschet Homogenization of the fluid flow and
heat transfer in transpiration cooled
multi-layer plates . . . . . . . . . . . 277--288
L. Luyckx and
M. Loccufier and
E. Noldus Computational methods in nonlinear
stability analysis: stability boundary
calculations . . . . . . . . . . . . . . 289--297
B. Malengier Parameter identification in stationary
groundwater flow problems in drainage
basins . . . . . . . . . . . . . . . . . 299--307
Luc Masset and
Jean-François Debongnie Machining processes simulation: specific
finite element aspects . . . . . . . . . 309--320
André Nicolet and
Sébastien Guenneau and
Christophe Geuzaine and
Frédéric Zolla Modelling of electromagnetic waves in
periodic media with finite elements . . 321--329
L. Noels and
L. Stainier and
J.-P. Ponthot Combined implicit/explicit
time-integration algorithms for the
numerical simulation of sheet metal
forming . . . . . . . . . . . . . . . . 331--339
O. Pantalé and
S. Caperaa and
R. Rakotomalala Development of an object-oriented finite
element program: application to
metal-forming and impact simulations . . 341--351
B. Pluymers and
W. Desmet and
D. Vandepitte and
P. Sas Application of an efficient wave-based
prediction technique for the analysis of
vibro-acoustic radiation problems . . . 353--364
I. S. Pop and
F. Radu and
P. Knabner Mixed finite elements for the Richards'
equation: linearization procedure . . . 365--373
Mathieu Renouf and
Frédéric Dubois and
Pierre Alart A parallel version of the non smooth
contact dynamics algorithm applied to
the simulation of granular media . . . . 375--382
Daniel J. Rixen A dual Craig--Bampton method for dynamic
substructuring . . . . . . . . . . . . . 383--391
V. Ruas and
J. H. Carneiro de Araujo and
M. A. M. Silva Ramos Multi-field finite element methods with
discontinuous pressures for axisymmetric
incompressible flow . . . . . . . . . . 393--402
R. V. Sabariego and
J. Gyselinck and
C. Geuzaine and
P. Dular and
W. Legros Application of the fast multipole method
to hybrid finite element-boundary
element models . . . . . . . . . . . . . 403--412
P. Saucez and
A. Vande Wouwer and
W. E. Schiesser and
P. Zegeling Method of lines study of nonlinear
dispersive waves . . . . . . . . . . . . 413--423
M. Sea\"\id and
A. Klar and
B. Dubroca Flux limiters in the coupling of
radiation and hydrodynamic models . . . 425--435
P. Sergeant and
L. Dupré and
J. Melkebeek and
L. Vandenbossche Magnetic field computation for optimized
shielding of induction heaters . . . . . 437--446
Marián Slodicka An approximation scheme for a nonlinear
degenerate parabolic equation with a
second-order differential Volterra
operator . . . . . . . . . . . . . . . . 447--458
G. Steinebach and
S. Rademacher and
P. Rentrop and
M. Schulz Mechanisms of coupling in river flow
simulation systems . . . . . . . . . . . 459--470
E. Theuns and
J. Vierendeels and
P. Vandevelde Validation of the integral model for the
pyrolysis of charring materials with a
moving grid . . . . . . . . . . . . . . 471--479
J.-M. Vaassen and
P. Wautelet and
J.-A. Essers Application of a third-order
reconstruction scheme to hypersonic
reacting flows using unstructured meshes
and multigrid techniques . . . . . . . . 481--489
John Vande Voorde and
Jan Vierendeels and
Erik Dick Flow simulations in rotary volumetric
pumps and compressors with the
fictitious domain method . . . . . . . . 491--499
W. Vanlaere and
P. Buffel and
G. Lagae and
R. Van Impe and
J. Belis Neural networks for assessing the
failure load of a construction . . . . . 501--508
Jan Vierendeels and
Bart Merci and
Erik Dick A multigrid method for natural
convective heat transfer with large
temperature differences . . . . . . . . 509--517
P. A. Zegeling and
H. P. Kok Adaptive moving mesh computations for
reaction--diffusion systems . . . . . . 519--528
Anonymous Author Index volume 168 . . . . . . . . 529--531
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Ian Knowles and
Tuan Le and
Aimin Yan On the recovery of multiple flow
parameters from transient head data . . 1--15
Ivan Cimrák and
Marián Slodicka An iterative approximation scheme for
the Landau--Lifshitz--Gilbert equation 17--32
K. Nagatou A computer-assisted proof on the
stability of the Kolmogorov flows of
incompressible viscous fluid . . . . . . 33--44
Zhuan-De Wang and
Ting-Zhu Huang Comparison results between Jacobi and
other iterative methods . . . . . . . . 45--51
Magdi S. Mahmoud and
Peng Shi and
Abdulla Ismail Robust Kalman filtering for
discrete-time Markovian jump systems
with parameter uncertainty . . . . . . . 53--69
Norikazu Saito A holomorphic semigroup approach to the
lumped mass finite element method . . . 71--85
Aldo Dall'Osso An iterative back substitution algorithm
for the solution of tridiagonal matrix
systems with fringes . . . . . . . . . . 87--99
M. Remesíková Solution of convection--diffusion
problems with nonequilibrium adsorption 101--116
Shihua Chen and
Qin Zhang and
Changping Wang Existence and stability of equilibria of
the continuous-time Hopfield neural
network . . . . . . . . . . . . . . . . 117--125
Rong Wang and
Patrick Keast and
Paul Muir A comparison of adaptive software for
$1$D parabolic PDEs . . . . . . . . . . 127--150
Teruya Minamoto Numerical method with guaranteed
accuracy of a double turning point for a
radially symmetric solution of the
perturbed Gelfand equation . . . . . . . 151--160
H. H. H. Homeier A modified Newton method with cubic
convergence: the multivariate case . . . 161--169
Chen Tang and
Haiqing Yan and
Hao Zhang and
WenRun Li The various order explicit multistep
exponential fitting for systems of
ordinary differential equations . . . . 171--182
Roman Chapko and
Philipp Kügler A comparison of the Landweber method and
the Gauss--Newton method for an inverse
parabolic boundary value problem . . . . 183--196
G. Mastroianni and
D. Occorsio Markov--Sonin Gaussian rule for singular
functions . . . . . . . . . . . . . . . 197--212
Ruiming Li and
Dian Zhou A note on the eigenvalue relationship
for USAOR iterative method applied to
$p$-cyclic matrices . . . . . . . . . . 213--225
Farzad Noubary and
Reza Noubary On survival times of sport records . . . 227--234
A. B. Olde Daalhuis On higher-order Stokes phenomena of an
inhomogeneous linear ordinary
differential equation . . . . . . . . . 235--246
M. V. Noskov and
H. J. Schmid On the number of nodes in
$n$-dimensional cubature formulae of
degree $5$ for integrals over the ball 247--254
Maharavo Randrianarivony Anisotropic finite elements for the
Stokes problem: a posteriori error
estimator and adaptive mesh . . . . . . 255--275
Sheon-Young Kang Volterra method for the radial
Schrödinger equation . . . . . . . . . . 277--296
Teoman Özer On symmetry group properties and general
similarity forms of the Benney equations
in the Lagrangian variables . . . . . . 297--313
Ioannis K. Argyros On the Newton--Kantorovich hypothesis
for solving equations . . . . . . . . . 315--332
M. P. Calvo and
A. Portillo Are high order variable step equistage
initializers better than standard
starting algorithms? . . . . . . . . . . 333--344
Yanping Guo and
Jiwei Tian Two positive solutions for second-order
quasilinear differential equation
boundary value problems with sign
changing nonlinearities . . . . . . . . 345--357
Dragan Juki\'c and
Gordana Kralik and
Rudolf Scitovski Least-squares fitting Gompertz curve . . 359--375
Roberto Garrappa An analysis of convergence for two-stage
waveform relaxation methods . . . . . . 377--392
Z. Bartoszewski and
T. Jankowski and
M. Kwapisz On the convergence of iterative methods
for general differential-algebraic
systems . . . . . . . . . . . . . . . . 393--418
S. Lievens Expansion formulas for terminating
balanced $_4 F_3$-series from the
Biedenharn--Elliot identity for $ {\rm
su}(1, 1)$ . . . . . . . . . . . . . . . 419--430
Alexander L. Hanhart and
Matthias K. Gobbert and
Leighton T. Izu A memory-efficient finite element method
for systems of reaction--diffusion
equations with non-smooth forcing . . . 431--458
Fengshan Liu and
Yi Ling and
Xianggen Xia and
Xiquan Shi Wavelet methods for Ground Penetrating
Radar imaging . . . . . . . . . . . . . 459--474
Anonymous Author Index volume 169 . . . . . . . . 475--476
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
S. J. D. D'Alessio and
J. P. Pascal and
T. B. Moodie Thermally enhanced gravity driven flows 1--25
Nejib Smaoui and
Suad Al-Enezi Modelling the dynamics of nonlinear
partial differential equations using
neural networks . . . . . . . . . . . . 27--58
D. S. Meek and
D. J. Walton An arc spline approximation to a
clothoid . . . . . . . . . . . . . . . . 59--77
Baruch Cahlon and
Darrell Schmidt Stability criteria for certain
second-order delay differential
equations with mixed coefficients . . . 79--102
V. I. Tselyaev A generalized Numerov method for linear
second-order differential equations
involving a first derivative term . . . 103--120
Leila Slimane and
Yves Renard The treatment of the locking phenomenon
for a general class of variational
inequalities . . . . . . . . . . . . . . 121--143
Philip I. Davies and
Matthew I. Smith Updating the singular value
decomposition . . . . . . . . . . . . . 145--167
M. S. Petkovi\'c and
L. Ranci\'c On the guaranteed convergence of the
square-root iteration method . . . . . . 169--179
Jan Maes and
Evelyne Vanraes and
Paul Dierckx and
Adhemar Bultheel On the stability of normalized
Powell--Sabin B-splines . . . . . . . . 181--196
Jicheng Jin and
Xiaonan Wu The singular finite element method for
some elliptic boundary value problem
with interface . . . . . . . . . . . . . 197--216
M. Sea\"\id and
M. Frank and
A. Klar and
R. Pinnau and
G. Thömmes Efficient numerical methods for
radiation in gas turbines . . . . . . . 217--239
Tsehaye K. Araaya The Meixner--Pollaczek polynomials and a
system of orthogonal polynomials in a
strip . . . . . . . . . . . . . . . . . 241--254
Mingzhu Liu and
Wanrong Cao and
Zhencheng Fan Convergence and stability of the
semi-implicit Euler method for a linear
stochastic differential delay equation 255--268
Per Lötstedt and
Alison Ramage and
Lina von Sydow and
Stefan Söderberg Preconditioned implicit solution of
linear hyperbolic equations with
adaptivity . . . . . . . . . . . . . . . 269--289
M. Berroukeche and
A. Boussari and
E. K. Maschke and
B. Saramito Hopf bifurcation for tearing instability
in magnetohydrodynamics, theory and
numerical results . . . . . . . . . . . 291--301
R. Pasquetti On inverse methods for the resolution of
the Gibbs phenomenon . . . . . . . . . . 303--315
P. M. Burrage and
R. Herdiana and
K. Burrage Adaptive stepsize based on control
theory for stochastic differential
equations . . . . . . . . . . . . . . . 317--336
William Rundell and
Paul Sacks Numerical technique for the inverse
resonance problem . . . . . . . . . . . 337--347
Zhen-Jun Shi and
Jie Shen A gradient-related algorithm with
inexact line searches . . . . . . . . . 349--370
Vasile Sima and
Diana Maria Sima and
Sabine Van Huffel High-performance numerical algorithms
and software for subspace-based linear
multivariable system identification . . 371--397
N. H. Du and
R. Kon and
K. Sato and
Y. Takeuchi Dynamical behavior of Lotka--Volterra
competition systems: non-autonomous
bistable case and the effect of
telegraph noise . . . . . . . . . . . . 399--422
Eman Al-Shemas and
Stephen C. Billups An iterative method for generalized
set-valued nonlinear mixed
quasi-variational inequalities . . . . . 423--432
D. S. Meek and
D. J. Walton A note on finding clothoids . . . . . . 433--453
J. A. Ezquerro and
M. A. Hernández On Halley-type iterations with free
second derivative . . . . . . . . . . . 455--459
S. Mukherjee and
Satakshi and
R. C. Mittal Discrete system order reduction using
multipoint step response matching . . . 461--466
Anonymous Author Index volume 170 . . . . . . . . 467--468
Anonymous Author Index volumes 161--170 . . . . . 469--493
Anonymous Subject index volumes 161--170 . . . . . 495--522
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
B. M. Brown and
W. D. Evans Preface . . . . . . . . . . . . . . . . ix--ix
B. M. Brown and
M. S. P. Eastham and
W. D. Evans Laudatum . . . . . . . . . . . . . . . . xi--xiii
W. O. Amrein and
D. B. Pearson $M$ operators: a generalisation of
Weyl--Titchmarsh theory . . . . . . . . 1--26
J. M. Anderson and
W. K. Hayman and
Ch. Pommerenke The radial growth of univalent functions 27--37
Mahmoud Annaby and
Paul Butzer Sampling in Paley--Wiener spaces
associated with fractional
integro-differential operators . . . . . 39--57
C. Bennewitz and
W. D. Evans Inequalities associated with magnetic
fields . . . . . . . . . . . . . . . . . 59--72
Paul A. Binding and
Patrick J. Browne and
Bruce A. Watson Recovery of the $m$-function from
spectral data for generalized
Sturm--Liouville problems . . . . . . . 73--91
P. Binding and
H. Langer and
M. Möller Oscillation results for Sturm--Liouville
problems with an indefinite weight
function . . . . . . . . . . . . . . . . 93--101
Sinéad Breen and
Alastair Wood On the asymptotic behaviour of
Laplace-type multiple integral solutions
of linear differential equations . . . . 103--112
B. M. Brown and
M. S. P. Eastham Extended Hurwitz results for
hypergeometric functions arising in
spectral theory . . . . . . . . . . . . 113--121
Richard C. Brown and
Don B. Hinton Relative form boundedness and
compactness for a second-order
differential operator . . . . . . . . . 123--140
V. I. Burenkov and
A. Senouci On integral inequalities involving
differences . . . . . . . . . . . . . . 141--149
Steve Clark and
Fritz Gesztesy On Weyl--Titchmarsh theory for singular
finite difference Hamiltonian systems 151--184
W. N. Everitt A personal history of the
$m$-coefficient . . . . . . . . . . . . 185--197
W. N. Everitt and
L. L. Littlejohn and
R. Wellman The Sobolev orthogonality and spectral
analysis of the Laguerre polynomials $
L_n^{-k} $ for positive integers $k$ . . 199--234
A. G. García and
L. L. Littlejohn On analytic sampling theory . . . . . . 235--246
D. J. Gilbert and
A. D. Wood Stokes' phenomenon and the absolutely
continuous spectrum of one-dimensional
Schrödinger operators . . . . . . . . . . 247--264
Jan Janas and
Serguei Naboko and
Gunter Stolz Spectral theory for a class of
periodically perturbed unbounded Jacobi
matrices: elementary methods . . . . . . 265--276
Ian Knowles and
Aimin Yan On the recovery of transport parameters
in groundwater modelling . . . . . . . . 277--290
Q. Kong and
H. Wu and
A. Zettl Multiplicity of Sturm--Liouville
eigenvalues . . . . . . . . . . . . . . 291--309
Margarita Kraus and
Matthias Langer and
Christiane Tretter Variational principles and eigenvalue
estimates for unbounded block operator
matrices and applications . . . . . . . 311--334
Lawrence Markus The Sturm--Liouville group . . . . . . . 335--365
M. Marletta Eigenvalue problems on exterior domains
and Dirichlet to Neumann maps . . . . . 367--391
Karl Michael Schmidt On the integrability of differential
equations by quadratures according to
Maximovic . . . . . . . . . . . . . . . 393--410
Barry Simon Analogs of the $m$-function in the
theory of orthogonal polynomials on the
unit circle . . . . . . . . . . . . . . 411--424
Anonymous Author Index volume 171 . . . . . . . . 425--426
Anonymous Editors . . . . . . . . . . . . . . . . ii--ii
Alexei Zhedanov Biorthogonality of the Lagrange
interpolants . . . . . . . . . . . . . . 1--6
Zhongwen Chen and
Xiangsun Zhang A nonmonotone trust-region algorithm
with nonmonotone penalty parameters for
constrained optimization . . . . . . . . 7--39
Luc Vinet and
Alexei Zhedanov A characterization of classical and
semiclassical orthogonal polynomials
from their dual polynomials . . . . . . 41--48
Halil Oruç and
Hakan K. Akmaz Symmetric functions and the Vandermonde
matrix . . . . . . . . . . . . . . . . . 49--64
Mark M. Meerschaert and
Charles Tadjeran Finite difference approximations for
fractional advection-dispersion flow
equations . . . . . . . . . . . . . . . 65--77
M. Caliari and
M. Vianello and
L. Bergamaschi Interpolating discrete
advection--diffusion propagators at Leja
sequences . . . . . . . . . . . . . . . 79--99
Yihong Song and
Christopher T. H. Baker Qualitative behaviour of numerical
approximations to Volterra
integro-differential equations . . . . . 101--115
Tongke Wang A mixed finite volume element method
based on rectangular mesh for biharmonic
equations . . . . . . . . . . . . . . . 117--130
Jae-Hun Jung and
Bernie D. Shizgal Generalization of the inverse polynomial
reconstruction method in the resolution
of the Gibbs phenomenon . . . . . . . . 131--151
Hansjörg Albrecher and
Martin Predota On Asian option pricing for NIG Lévy
processes . . . . . . . . . . . . . . . 153--168
Ninoslav Truhar An efficient algorithm for damper
optimization for linear vibrating
systems using Lyapunov equation . . . . 169--182
Matthias Ehrhardt and
Ronald E. Mickens Solutions to the discrete Airy equation:
application to parabolic equation
calculations . . . . . . . . . . . . . . 183--206
Severinas Zube Number systems, $ \alpha $-splines and
refinement . . . . . . . . . . . . . . . 207--231
Daan Huybrechs and
Jo Simoens and
Stefan Vandewalle A note on wave number dependence of
wavelet matrix compression for integral
equations with oscillatory kernel . . . 233--246
Elena Celledoni and
Simone Fiori Neural learning by geometric integration
of reduced `rigid-body' equations . . . 247--269
D. J. Walton and
D. S. Meek A generalisation of the Pythagorean
hodograph quintic spiral . . . . . . . . 271--287
Horst Alzer and
Song-Liang Qiu Monotonicity theorems and inequalities
for the complete elliptic integrals . . 289--312
Igor Boglaev Monotone iterative algorithms for a
nonlinear singularly perturbed parabolic
problem . . . . . . . . . . . . . . . . 313--335
Chiew-Lan Tai and
Guo-Jin Wang Interpolation with slackness and
continuity control and
convexity-preservation using singular
blending . . . . . . . . . . . . . . . . 337--361
Douglas Bowman and
James Mc Laughlin A theorem on divergence in the general
sense for continued fractions . . . . . 363--373
Christian Kanzow and
Nobuo Yamashita and
Masao Fukushima Levenberg--Marquardt methods with strong
local convergence properties for solving
nonlinear equations with convex
constraints . . . . . . . . . . . . . . 375--397
Xie Ping Ding Iterative algorithms for solving
generalized nonlinear mixed variational
inequalities . . . . . . . . . . . . . . 399--408
Anonymous Author Index Volume 172 (2004) . . . . . 409--410
Anonymous Editors . . . . . . . . . . . . . . . . ifc--ifc
Gradimir V. Milovanovi\'c and
Aleksandar S. Cvetkovi\'c Remarks on ``Orthogonality of some
sequences of the rational functions and
Müntz polynomials'' . . . . . . . . . . . 383--388
B. J. Stoyanov Comments on ``Asymptotic expansion of a
Bessel function integral using
hypergeometric functions'' by L. J.
Landau and N. J. Luswili . . . . . . . . 259--262