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Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Krzysztof Reczek On the growth of meromorphic functions 1--7
Josef Kallrath and
Wolfram Neutsch Lattice integration on the $7$-sphere 9--14
Aatos Lahtinen Shape preserving interpolation by
quadratic splines . . . . . . . . . . . 15--24
D. J. Higham and
G. Hall Embedded Runge--Kutta formulae with
stable equilibrium states . . . . . . . 25--33
Mark J. Schaefer A polynomial based iterative method for
linear parabolic equations . . . . . . . 35--50
Yu. Yu. Lobanov and
R. R. Shahbagian and
O. V. Sidorova and
E. P. Zhidkov Computation of conditional Wiener
integrals by the composite approximation
formulas with weight . . . . . . . . . . 51--60
C. D. Papageorgiou and
A. D. Raptis and
T. E. Simos A method for computing phase shifts for
scattering . . . . . . . . . . . . . . . 61--67
H.-G. Roos Global uniformly convergent schemes for
a singularly perturbed boundary-value
problem using patched base
spline-functions . . . . . . . . . . . . 69--77
Serge Dubuc and
Abdelkader Elqortobi Approximations of fractal sets . . . . . 79--89
M. Calvo and
J. I. Montijano and
L. Randez A fifth-order interpolant for the
Dormand and Prince Runge--Kutta method 91--100
Hassane Sadok About Henrici's transformation for
accelerating vector sequences . . . . . 101--110
P. J. Van Der Houwen and
B. P. Sommeijer Parallel iteration of high-order
Runge--Kutta methods with stepsize
control . . . . . . . . . . . . . . . . 111--127
Shui-Nee Chow and
Byron Drachman and
Duo Wang Computation of normal forms . . . . . . 129--143
Luciano Lopez One-step collocation methods for
differential-algebraic systems of index
1 . . . . . . . . . . . . . . . . . . . 145--159
Sotirios E. Notaris Gauss--Kronrod quadrature formulae for
weight functions of Bernstein--Szeg\Ho
type, II . . . . . . . . . . . . . . . . 161--169
Z. C. Li and
T. D. Bui The simplified hybrid-combined methods
for Laplace's equation with
singularities . . . . . . . . . . . . . 171--193
J. Thomas King On the construction of preconditioners
by subspace decomposition . . . . . . . 195--205
Rudolf Wegmann Discretized versions of Newton type
iterative methods for conformal mapping 207--224
A. Ronveaux and
S. Belmehdi and
J. Dini and
P. Maroni Fourth-order differential equation for
the co-modified of semi-classical
orthogonal polynomials . . . . . . . . . 225--231
Eugen Schäfer and
Ingrid Sporer An efficient conjugate gradient
preconditioner for Toeplitz systems . . 233--241
A. Ronveaux Quasi-orthogonality and differential
equations . . . . . . . . . . . . . . . 243--247
J. Abdalkhani A numerical approach to the solution of
Abel integral equations of the second
kind with nonsmooth solution . . . . . . 249--255
Avram Sidi Quantitative and constructive aspects of
the generalized Koenig's and de
Montessus's theorems for Padé
approximants . . . . . . . . . . . . . . 257--291
Christopher T. H. Baker and
Mir S. Derakhshan R--K formulae applied to Volterra
equations with delay . . . . . . . . . . 293--310
Elias Wegert An iterative method for solving
nonlinear Riemann--Hilbert problems . . 311--327
M. R. Crisci and
E. Russo and
A. Vecchio Stability analysis of the de Hoog and
Weiss implicit Runge--Kutta methods for
the Volterra integral and
integrodifferential equations . . . . . 329--341
F. A. Howes An asymptotic-numerical method for a
model system with turning points . . . . 343--356
Kris Stewart Avoiding stability-induced
inefficiencies in BDF methods . . . . . 357--367
J. Eichenauer-Herrmann Conditional minimax estimates . . . . . 369--371
Anonymous Author index to volume 29 (1990) . . . . 373--374
Anonymous Newsletter on Computational and Applied
Mathematics . . . . . . . . . . . . . . n1--n15
J. M. Franco and
M. Palacios High-order $P$-stable multistep methods 1--10
Paula de Oliveira On a class of multistep methods with
strong contractivity properties . . . . 11--19
M. H. Hamdan and
R. M. Barron A dusty gas flow model in porous media 21--37
Lucas Jódar Boundary value problems for systems of
second-order differential equations:
approximations, convergence and upper
error bounds . . . . . . . . . . . . . . 39--54
H. De Meyer and
J. Vanthournout and
G. Vanden Berghe On a new type of mixed interpolation . . 55--69
T. L. Freeman and
R. W. Brankin A divide and conquer method for
polynomial zeros . . . . . . . . . . . . 71--79
Arne Magnus and
John McCabe On a continued fraction for $ \log^2_e(1
+ x) $ . . . . . . . . . . . . . . . . . 81--86
Tetsuro Yamamoto and
Xiaojun Chen An existence and nonexistence theorem
for solutions of nonlinear systems and
its application to algebraic equations 87--97
M. S. Petkovi\'c On the efficiency of some combined
methods for polynomial complex zeros . . 99--115
P. W. Hemker A nonlinear multigrid method for
one-dimensional semiconductor device
simulation: results for the diode . . . 117--126
R. Lynch and
H. A. Mavromatis $N$-dimensional harmonic oscillator
yields monotonic series for the
mathematical constant $ \pi $ . . . . . 127--137
E. K. Ifantis and
P. D. Siafarikas Differential inequalities for the
positive zeros of Bessel functions . . . 139--143
V. U. Aihie and
G. A. Evans A comparison of the error function and
the tanh transformation as progressive
rules for double and triple singular
integrals . . . . . . . . . . . . . . . 145--154
S. Filippi and
F. Schöne Two high-order multistep methods with
offstep points applied with a variable
stepsize . . . . . . . . . . . . . . . . 155--164
Alan L. Andrew Eigenvalues and singular values of
certain random matrices . . . . . . . . 165--171
Peter Brucker and
Rainer E. Burkard and
Johann Hurink Cyclic schedules for $r$ irregularly
occurring events . . . . . . . . . . . . 173--189
Annamaria Palamara Orsi Spline approximation for Cauchy
principal value integrals . . . . . . . 191--201
F. Marcellan and
J. S. Dehesa and
A. Ronveaux On orthogonal polynomials with perturbed
recurrence relations . . . . . . . . . . 203--212
J. P. McClure and
R. Wong Multidimensional stationary phase
approximation: boundary stationary point 213--225
N. I. Ioakimidis Generalized Mangler-type principal value
integrals with an application to
fracture mechanics . . . . . . . . . . . 227--234
Y.-Q. Shen and
T. J. Ypma Solving nonlinear systems of equations
with only one nonlinear variable . . . . 235--246
Maria Rosaria Capobianco A new proof for the convergence of the
trigonometric method for the Abel
integral equations of the first kind . . 247--250
T. E. Simos A four-step method for the numerical
solution of the Schrödinger equation . . 251--255
Atair Rios Neto and
Kondapalli Rama Rao A stochastic approach to global error
estimation in ODE multistep numerical
integration . . . . . . . . . . . . . . 257--281
C. H. Wu A multicolour SOR method for the
finite-element method . . . . . . . . . 283--294
D. R. Westbrook The obstacle problem for beams and
plates . . . . . . . . . . . . . . . . . 295--311
Daoqi Yang Mixed methods with dynamic
finite-element spaces for miscible
displacement in porous media . . . . . . 313--328
Masao Fukushima A conjugate gradient algorithm for
sparse linear inequalities . . . . . . . 329--339
Riccardo Fazio Numerical evaluations for shock and
discontinuity velocity related to
similarity solutions of quasilinear
hyperbolic systems . . . . . . . . . . . 341--349
Claude Brezinski Duality in Padé-type approximation . . . 351--357
Anonymous Author index to volume 30 (1990) . . . . 359--360
Anonymous Master index to volumes 21--30 . . . . . 361--379
Anonymous Newsletter on computational and applied
mathematics volumes 21--30 . . . . . . . N1--N10
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
J. Lehn and
H. Neunzert Preface . . . . . . . . . . . . . . . . 1--1
Lothar Afflerbach Criteria for the assessment of random
number generators . . . . . . . . . . . 3--10
A. C. Atkinson A simulation experiment for comparing
tests of regression transformation . . . 11--14
Hans Babovsky and
Frank Gropengießer and
Helmut Neunzert and
Jens Struckmeier and
Bernd Wiesen Application of well-distributed
sequences to the numerical simulation of
the Boltzmann equation . . . . . . . . . 15--22
Nicolas Bouleau On effective computation of expectations
in large or infinite dimension . . . . . 23--34
Yann Brenier Une méthode particulaire pour les
équations non linéaires de diffusion
convection en dimension un. (French) [A
particle method for nonlinear convection
diffusion equations in dimension one] 35--56
Michael Drmota Applications of uniformly distributed
functions and sequences in statistic
ergodic measuring techniques . . . . . . 57--62
William F. Eddy Random number generators for parallel
processors . . . . . . . . . . . . . . . 63--71
J. Eichenauer-Herrmann and
H. Grothe Upper bounds for the Beyer ratios of
linear congruential generators . . . . . 73--80
J. Eichenauer-Herrmann and
H. Grothe and
H. Niederreiter and
A. Topuzo\uglu On the lattice structure of a nonlinear
generator with modulus $ 2^\alpha $ . . 81--85
J. Eichenauer-Herrmann and
A. Topuzo\uglu On the period length of congruential
pseudorandom number sequences generated
by inversions . . . . . . . . . . . . . 87--96
H. Faure Using permutations to reduce discrepancy 97--103
Masanori Fushimi Random number generation with the
recursion $ X_t = X_{t - 3 p} \oplus
X_{t - 3 q } $ . . . . . . . . . . . . . 105--118
James E. Gentle Computer implementation of random number
generators . . . . . . . . . . . . . . . 119--125
A. W. Kemp Patchwork rejection algorithms . . . . . 127--131
C. D. Kemp New algorithms for generating Poisson
variates . . . . . . . . . . . . . . . . 133--137
H. Niederreiter Statistical independence properties of
pseudorandom vectors produced by matrix
generators . . . . . . . . . . . . . . . 139--151
B. D. Ripley Thoughts on pseudorandom number
generators . . . . . . . . . . . . . . . 153--163
B. D. Ripley and
M. D. Kirkland Iterative simulation methods . . . . . . 165--172
Bruce Schmeiser and
Voratas Kachitvichyanukul Noninverse correlation induction:
guidelines for algorithm development . . 173--180
Ernst Stadlober The ratio of uniforms approach for
generating discrete random variates . . 181--189
Robert F. Tichy Random points in the cube and on the
sphere with applications to numerical
analysis . . . . . . . . . . . . . . . . 191--197
Joachim Wick A point method for a semi-conductor
equation . . . . . . . . . . . . . . . . 199--203
Ryszard Zieli\'nski An aperiodic pseudorandom number
generator . . . . . . . . . . . . . . . 205--210
K. Maleknejad Numerical experimentation with
time-series methods for convolution
integral equation . . . . . . . . . . . 211--225
V. A. Zisis and
E. G. Ladopoulos Two-dimensional singular integral
equations exact solutions . . . . . . . 227--232
J. Abouir and
A. Cuyt Error formulas for multivariate rational
interpolation and Padé approximation . . 233--241
Lucas Jo'dar A separation of the variables method for
solving coupled systems of second-order
partial differential equations: exact,
approximate solutions and error bounds 243--251
Marcel G. De Bruin Polynomials orthogonal on a circular arc 253--266
S. Thompson Stepsize control for delay differential
equations using continuously imbedded
Runge--Kutta methods of Sarafyan . . . . 267--275
A. Bellen and
R. Vermiglio and
M. Zennaro Parallel ODE-solvers with stepsize
control . . . . . . . . . . . . . . . . 277--293
Zhu Haiyan A note about power-boundedness of
interval matrices . . . . . . . . . . . 295--298
S. Joe Randomization of lattice rules for
numerical multiple integration . . . . . 299--304
Anders Barrlund and
Bo Kågström Analytical and numerical solutions to
higher index linear variable coefficient
DAE systems . . . . . . . . . . . . . . 305--330
G. Vanden Berghe and
H. De Meyer and
J. Vanthournout On a class of modified Newton--Cotes
quadrature formulae based upon
mixed-type interpolation . . . . . . . . 331--349
R. S. Gupta and
N. C. Banik Solution of a weakly two-dimensional
melting problem by an approximate method 351--356
George A. Baker, Jr. and
P. R. Graves-Morris Definition and uniqueness of integral
approximants . . . . . . . . . . . . . . 357--372
Ismail Bin Mohd An interval global optimization
algorithm for a class of functions with
several variables . . . . . . . . . . . 373--382
N. M. Temme and
A. B. Olde Daalhuis Uniform asymptotic approximation of
Fermi--Dirac integrals . . . . . . . . . 383--387
Jiaoxun Kuang and
Lianhua Lu Two classes of finite-difference methods
for generalized sine-Gordon equations 389--396
Anonymous Author index to volume 31 (1990) . . . . 397--398
Anonymous Editorial Board . . . . . . . . . . . . vi--vii
Claude Brezinski Preface . . . . . . . . . . . . . . . . 1--1
Bernhard Beckermann The structure of the singular solution
table of the $M$-Padé approximation
problem . . . . . . . . . . . . . . . . 3--15
Claude Brezinski A direct proof of the
Christoffel--Darboux identity and its
equivalence to the recurrence
relationship . . . . . . . . . . . . . . 17--25
Adhemar Bultheel and
Marc Van Barel Minimal vector Padé approximation . . . . 27--37
S. Clement Cooper and
William B. Jones and
W. J. Thron Orthogonal Laurent-polynomials and
continued fractions associated with
log-normal distributions . . . . . . . . 39--46
A. Cuyt A multivariate convergence theorem of
the ``de Montessus de Ballore'' type . . 47--57
André Draux and
Abdallah Maanaoui Vector orthogonal polynomials . . . . . 59--68
David A. Field Convergence rates for Padé-based
iterative solutions of equations . . . . 69--75
M. Gasca and
J. J. Martínez On the solvability of bivariate
Hermite--Birkhoff interpolation problems 77--82
B. Germain-Bonne Convergence acceleration of
number-machine sequences . . . . . . . . 83--88
John Gill Complex dynamics of the limit periodic
system $ F_n (z) = F_{n - 1} (f_n (z)),
f_n \to f $ . . . . . . . . . . . . . . 89--96
Pablo González-Vera and
Olav Njåstad Convergence of two-point Padé
approximants to series of Stieltjes . . 97--105
Pablo González-Vera and
Olav Njåstad Szeg\Ho functions and multipoint Padé
approximation . . . . . . . . . . . . . 107--116
P. R. Graves-Morris Solution of integral equations using
generalised inverse, function-valued Padé
approximants, $I$ . . . . . . . . . . . 117--124
Erik Hendriksen Associated Jacobi--Laurent polynomials 125--141
William B. Jones and
Arne Magnus and
John H. McCabe and
Nancy J. Wyshinski Asymptotic properties of a family of
orthogonal polynomial sequences . . . . 143--151
Lennart Karlberg and
Hans Wallin Padé type approximants and orthogonal
polynomials for Markov--Stieltjes
functions . . . . . . . . . . . . . . . 153--157
Paul Levrie On the relationship between generalised
continued fractions and $G$-continued
fractions . . . . . . . . . . . . . . . 159--167
Lisa Lorentzen Compositions of contractions . . . . . . 169--178
Ana C. Matos Extrapolation algorithms based on the
asymptotic expansion of the inverse of
the error; application to continued
fractions . . . . . . . . . . . . . . . 179--190
M. Morandi Cecchi and
M. Redivo Zaglia Mathematical programming techniques to
solve biharmonic problems by a recursive
projection algorithm . . . . . . . . . . 191--201
G. Mühlbach On interpolation by rational functions
with prescribed poles with applications
to multivariate interpolation . . . . . 203--216
Naoki Osada Accelerable subsets of logarithmic
sequences . . . . . . . . . . . . . . . 217--227
Stefan Paszkowski Hermite--Padé approximation (basic
notions and theorems) . . . . . . . . . 229--236
Marc Prevost Approximation of weight function and
approached Padé approximants . . . . . . 237--252
Guy Antoine Sedogbo Convergence acceleration of some
logarithmic sequences . . . . . . . . . 253--260
Avram Sidi and
William F. Ford Quotient-difference type generalizations
of the power method and their analysis 261--272
W. J. Thron Order and type of entire functions
arising from separately convergent
continued fractions . . . . . . . . . . 273--279
Marc Van Barel and
Adhemar Bultheel A new approach to the rational
interpolation problem . . . . . . . . . 281--289
Ernst Joachim Weniger On the summation of some divergent
hypergeometric series and related
perturbation expansions . . . . . . . . 291--300
Jet Wimp Pollaczek polynomials and Padé
approximants: some closed-form
expressions . . . . . . . . . . . . . . 301--310
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N9
Anonymous 1. Announcements of conferences . . . . N2--N5
D. Roose Book Review: \booktitleParallel and
distributed algorithms: M. Cosnard, Y.
Robert, P. Quintan and M. Raynal (Eds.):
North-Holland, 1989, 344 pages, Price:
U.S. \$92.00, ISBN 0-444-87367-8} . . . N6
P. Levrie Book Review: \booktitleFactorization and
primality testing: David M. Bressoud:
Springer-Verlag, Undergraduate texts in
mathematics, 1989, 237 pp., Price: DM 98
(Hardcover), ISBN 3-540-97040-1 . . . . N6--N7
A. Bultheel Book Review: \booktitleApproximation,
optimization and computing (theory and
applications), A. G. Law and C. L. Wang
(eds.): International Association for
Mathematics and Computers in Simulation
(IMACS) . . . . . . . . . . . . . . . . N7
A. Bultheel Book Review: \booktitleHandbook of
numerical analysis, volume I. (Finite
difference methods --- part 1; Solution
of equations in $ R^n $ --- part 1): P.
G. Ciarlet and J. L. Lions:
North-Holland, Elsevier Science
Publishers, Amsterdam and Elsevier
Science Publishing Co. Inc., New York,
1990. viii + 652 pages. Hard cover,
Dfl.220.00/US \$107.25. ISBN
0-444-70366-7} . . . . . . . . . . . . . N7--N8
Anonymous Institutional reports and doctoral
theses: Department of Computer Science,
K. U. Leuven, Celestijnenland 200A,
B-3030 Heverlee (Leuven), Belgium . . . N8
S. Belmehdi On the associated orthogonal polynomials 311--319
Doron Zeilberger A holonomic systems approach to special
functions identities . . . . . . . . . . 321--368
L. J. Gray and
E. Lutz On the treatment of corners in the
boundary element method . . . . . . . . 369--386
William B. Jones and
Olav Njåstad and
E. B. Saff Szeg\Ho polynomials associated with
Wiener--Levinson filters . . . . . . . . 387--406
H. De Meyer and
J. Vanthournout and
G. Vanden Berghe and
A. Vanderbauwhede On the error estimation for a mixed type
of interpolation . . . . . . . . . . . . 407--415
Pascal Laurent-Gengoux and
Denis Trystram A new presentation of the conjugate
direction algorithm . . . . . . . . . . 417--422
P. W. Hemker On the order of prolongations and
restrictions in multigrid procedures . . 423--429
Anonymous Author index to volume 32 (1990) . . . . 431--432
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
P. M. De Zeeuw Matrix-dependent prolongations and
restrictions in a blackbox multigrid
solver . . . . . . . . . . . . . . . . . 1--27
Piero Barone A discrete orthogonal transform based on
spherical harmonics . . . . . . . . . . 29--34
A. Hadjidimos and
M. Neumann Convergence domains of the SSOR method
for a class of generalized consistently
ordered matrices . . . . . . . . . . . . 35--52
Wolfgang Volk Making the difference interpolation
method for splines more stable . . . . . 53--59
C. Carstensen On a general $ \rho $-algorithm . . . . 61--71
Philip Rabinowitz Numerical integration based on
approximating splines . . . . . . . . . 73--83
A. Zarzo and
J. S. Dehesa and
A. Ronveaux Newton sum rules of zeros of
semiclassical orthogonal polynomials . . 85--96
Baruch Cahlon On the numerical stability of Volterra
integral equations with delay argument 97--104
Sabine Van Huffel Partial singular value decomposition
algorithm . . . . . . . . . . . . . . . 105--112
Sabine Van Huffel Partial total least squares algorithm 113--121
Dragoslav Herceg and
M. Madalena Martins and
M. Estela Trigo Extended convergence area for the (MSOR)
method . . . . . . . . . . . . . . . . . 123--132
C. Dagnino and
E. Santi Spline product quadrature rules for
Cauchy singular integrals . . . . . . . 133--140
Andreas Karageorghis and
Timothy N. Phillips On efficient direct methods for
conforming spectral domain decomposition
techniques . . . . . . . . . . . . . . . 141--155
R. M. Hovstad Continued fractions and irrational
functions . . . . . . . . . . . . . . . 157--162
Satteluri R. K. Iyengar and
Anu Goyal A note on multigrid for the
three-dimensional Poisson equation in
cylindrical coordinates . . . . . . . . 163--169
Erik Hendriksen A weight function for the associated
Jacobi--Laurent polynomials . . . . . . 171--180
Anna Nagurney and
Lan Zhao Disequilibrium and variational
inequalities . . . . . . . . . . . . . . 181--198
J. P. McClure and
R. Wong Asymptotic expansion of a quadruple
integral involving a Bessel function . . 199--215
M. Bellalij A simultaneous process for convergence
acceleration and error control . . . . . 217--231
G. Rordriguez and
S. Seatzu Numerical solution of the finite moment
problem in a reproducing kernel Hilbert
space . . . . . . . . . . . . . . . . . 233--244
Kris Stewart A model for stability of the
semi-implicit backward differentiation
formulas . . . . . . . . . . . . . . . . 245--259
Ricardo L. U. De Freitas Pinto and
Atair Rios Neto An optimal linear estimation approach to
solve systems of linear algebraic
equations . . . . . . . . . . . . . . . 261--268
Sòren Christiansen A stability analysis of a Eulerian
solution method for moving boundary
problems in electrochemical machining 269--296
Francisco Pérez-Acosta and
Luis Casasús and
Nácere Hayek Rational collocation for linear boundary
value problems . . . . . . . . . . . . . 297--305
M. N. El Tarazi and
S. Sallam Interpolation by quadratic spline with
periodic derivative on uniform meshes 307--314
Walter Gautschi and
Shikang Li The remainder term for analytic
functions of Gauss--Radau and
Gauss--Lobatto quadrature rules with
multiple end points . . . . . . . . . . 315--329
Marc Van Barel and
Adhemar Bultheel A new approach to the rational
interpolation problem: the vector case 331--346
Anonymous Author Index to Volume 33 (1990) . . . . 347--347
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
George C. Hsiao and
Ernst P. Stephan and
Wolfgang L. Wendland On the Dirichlet problem in elasticity
for a domain exterior to an arc . . . . 1--19
E. K. Ifantis and
C. G. Kokologiannaki and
C. B. Kouris On the positive zeros of the second
derivative of Bessel functions . . . . . 21--31
Turgut Ozis On the existence and uniqueness of a
weak solution of a nonsteady transient
free-boundary problem in porous media 33--39
Sarwat N. Hanna Stability of periodic plane wave
solutions of wave equations . . . . . . 41--46
E. Christiansen and
K. O. Kortanek Computation of the collapse state in
limit analysis using the LP primal
affine scaling algorithm . . . . . . . . 47--63
Abdul-Majid Wazwaz On the asymptotic solutions of a
differential equation with multiple
singular points . . . . . . . . . . . . 65--74
F. G. Lether and
P. R. Wenston The numerical computation of the Voigt
function by a corrected midpoint
quadrature rule for $ ( - \infty,
\infty) $ . . . . . . . . . . . . . . . 75--92
P. Le Tallec and
Y. H. De Roeck and
M. Vidrascu Domain decomposition methods for large
linearly elliptic three-dimensional
problems . . . . . . . . . . . . . . . . 93--117
E. Pfeifer Interpolation with exponentially fitted
second-order $ C^1 $-spline functions 119--124
Weimin Han A note on a relaxation Schwarz
alternating method . . . . . . . . . . . 125--130
L. Lorne Campbell Acknowledgement of priority . . . . . . 131--131
Shalosh B. Ekhad A one-line proof of the
Habsieger--Zeilberger $ G_2 $ constant
term identity . . . . . . . . . . . . . 133--134
Song Jiang An uncoupled numerical scheme for the
equations of nonlinear one-dimensional
thermoelasticity . . . . . . . . . . . . 135--144
G. Cortelazzo and
C. De Simone and
G. A. Mian An algorithm for simultaneous magnitude
and phase approximation of bivariate
rational polynomials . . . . . . . . . . 145--160
H. Elzoheiry and
L. Iskandar and
M. Sh. El-Deen Mohamedein Iterative implicit schemes for the two-
and three-dimensional Sine-Gordon
equation . . . . . . . . . . . . . . . . 161--170
JoséMario Martínez Quasi-Newton methods for solving
underdetermined nonlinear simultaneous
equations . . . . . . . . . . . . . . . 171--190
B. Gabutti and
L. Sacripante Numerical inversion of the Mellin
transform by accelerated series of
Laguerre polynomials . . . . . . . . . . 191--200
David R. Fearn Eigensolutions of boundary value
problems using inverse iteration . . . . 201--209
H. Brunner and
M. R. Crisci and
E. Russo and
A. Vecchio A family of methods for Abel integral
equations of the second kind . . . . . . 211--219
Tadeusz Stys and
Krystyna Stys O( $h$ $^4$ ) locally overconvergent
semidiscrete scheme for the equation $u$
$_t$ = $u$ $_{xx}$ + f(t, x, u) . . . . 221--231
Pietro Marzulli Global error estimates for the standard
parallel shooting method . . . . . . . . 233--241
Jürgen Eichenauer-Herrmann and
Harald Niederreiter On the discrepancy of quadratic
congruential pseudorandom numbers . . . 243--249
William F. Trench Explicit weighting coefficients for
predicting ARMA time series from the
finite past . . . . . . . . . . . . . . 251--262
Anonymous Newsletter on Computational and Applied
Mathematics . . . . . . . . . . . . . . N1
A. Bultheel Book Review: \booktitleOperator Theory
in Function Spaces: Kehe Zhu (Vol. 139
in Pure and Applied Mathematics, A
series of monographs and textbooks)
Marcel Dekker, Inc., New York --- Basel,
1990, ix + 258 pages . . . . . . . . . . N2
J. Verschelde and
D. Roose Book Review: \booktitleNumerical
Continuation Methods: an Introduction:
E. L. Allgower, K. Georg, R. L. Graham,
J. Stoer, R. Varga (Eds.)
Springer-Verlag, 1990, Springer Series
in Computational Mathematics. Volume 13.
Approx. 400 pages, 37 figures.
Hardcover, DM 128,-ISBN 3-540-12760-7 N2--N3
P. Levrie Book Review: \booktitleIntroduction to
Calculus and Analysis, Volume I and II:
R. Courant and F. John. Springer Verlag,
New York. Vol. I: 1989, 2nd print (1st
ed. 1965), 660 pp., 240 figs. Hardcover.
Price: DM 96,- ISBN 3-540-97151-3. Vol.
II: 1989, 2nd print (1st ed. 1974), 955
pp., 120 figs. Hardcover. Price: DM
126,- ISBN 3-540-97152-1 . . . . . . . . N3--N4
E. Van Gestel Book Review: \booktitleProgramming in
Martin-Löf's Type Theory: an
Introduction: Bengt Nordström, Kent
Petersson and Jan M. Smith Intl. Series
of Monographs on Computer Science, Vol.
7, Oxford Science Publications, Oxford,
1990, 231 pages . . . . . . . . . . . . N4
Anonymous First International Conference on
Mathematical and Numerical Aspects of
Wave Propagation Phenomena . . . . . . . N4--N5
Anonymous NATO --- Advanced Study Institute
Approximation Theory, Spline Functions
and Applications . . . . . . . . . . . . N5
Anonymous EMS'91 European Simulation
Multiconference . . . . . . . . . . . . N5--N6
Anonymous First European Conference on Elliptic
and Parabolic Problems . . . . . . . . . N6--N7
Anonymous Conference on Curves, Surfaces, CAGD and
Image Processing . . . . . . . . . . . . N7--N8
Anonymous SERC Conference: The Mathematics of
Nonlinear Systems . . . . . . . . . . . N8
Anonymous International Conference on Complex
Systems: Fractals, Spin Glasses and
Neural Networks . . . . . . . . . . . . N8--N9
Anonymous NATO Advanced Research Workshop on
Approximation by Solutions of Partial
Differential Equations, Quadrature
Formulae, and Related Topics . . . . . . N9--N10
Anonymous CTAC 91 Computational Techniques and
Applications Conference . . . . . . . . N10
Anonymous Short Conference on Uniform Mathematics
and Applications . . . . . . . . . . . . N11
Anonymous Second Colloquium on differential
equations . . . . . . . . . . . . . . . N11--N12
Anonymous Parallel computing 91 . . . . . . . . . N12
Anonymous SSOPAS: 7th Spanish Symposium on
Orthogonal Polynomials and their
Applications . . . . . . . . . . . . . . N13
Anonymous SCAN-1991: International Symposium on
Computer Arithmetic and Scientific
Computation . . . . . . . . . . . . . . N13--N14
Anonymous Department of Computer Science . . . . . N14
Anonymous International Congress on extrapolation
and rational approximation . . . . . . . N14
Anonymous Institutional reports and doctoral
theses: Institut für Angewandte
Mathematik der Universität Bonn
Sonderforschungsbereich 256
Wegelerstrasse 6 D-3500 Bonn 1 . . . . . N15--N16
Anonymous Institutional reports and doctoral
theses: Technische Universität Graz,
Institut für Mathematik $B$
Kopernikusgasse 24 8010 Graz, Austria N16
Andrea Laforgia Bounds for modified Bessel functions . . 263--267
Conor J. Fitzsimons A class of finite-element methods for
singularly perturbed second-order
differential equations . . . . . . . . . 269--280
S. Abelman and
D. Eyre A rational basis for second-kind Abel
integral equations . . . . . . . . . . . 281--290
Lianhua Lu Numerical stability of the $ \theta
$-methods for systems of differential
equations with several delay terms . . . 291--304
Leif Abrahamsson Orthogonal grid generation for
two-dimensional ducts . . . . . . . . . 305--314
P. R. Graves-Morris and
E. B. Saff An extension of a row convergence
theorem for vector Padé approximants . . 315--324
N. Papamichael and
E. B. Saff and
J. Gong Asymptotic behaviour of zeros of
Bieberbach polynomials . . . . . . . . . 325--342
Walter Gautschi and
Shikang Li Gauss--Radau and Gauss--Lobatto
quadratures with double end points . . . 343--360
Claude Brezinski and
Guido Walz Sequences of transformations and
triangular recursion schemes, with
applications in numerical analysis . . . 361--383
Giuseppe Mastroianni and
Paul Nevai Mean convergence of derivatives of
Lagrange interpolation . . . . . . . . . 385--396
Anonymous Author index to volume 34 (1991) . . . . 397--398
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Preface . . . . . . . . . . . . . . . . 1--1
E. Miersemann and
H. D. Mittelmann Stability and continuation of solutions
to obstacle problems . . . . . . . . . . 5--31
Masaaki Sugihara and
Yoshio Oyanagi and
Masatake Mori and
Seiji Fujino On the efficiency of a SOR-like method
suited to vector processors . . . . . . 33--51
Jet Wimp Current trends in asymptotics: some
problems and some solutions . . . . . . 53--79
Mina B. Abd-el-Malek Approximate solution of gravity-affected
flow from planar sluice gate at high
Froude number . . . . . . . . . . . . . 83--97
Norio Arai and
Syuji Sakaguchi and
Yasuhiro Wada and
Satoru Ogawa Numerical investigation of separated
flow around a bent-nose biconic . . . . 99--108
Marc Beckers and
Ann Haegemans The construction of three-dimensional
invariant cubature formulae . . . . . . 109--118
Jarle Berntsen and
Terje O. Espelid and
Tor Sòrevik On the subdivision strategy in adaptive
quadrature algorithms . . . . . . . . . 119--132
A. Boutayeb and
E. H. Twizell Finite-difference methods for
twelfth-order . . . . . . . . . . . . . 133--138
Mahieddine Chettab and
Mbaro-Saman Lubuma Coefficients of singularities and mixed
methods for the mixed Dirichlet--Neumann
problem for the Stokes operator on a
polygon . . . . . . . . . . . . . . . . 139--157
Erik Dick Second-order formulation of a multigrid
method for steady Euler equations
through defect-correction . . . . . . . 159--168
Herbert Fischer Automatic differentiation of the vector
that solves a parametric linear system 169--184
J. A. Ford and
R.-A. Ghandhari On the use of curvature estimates in
quasi- Newton methods . . . . . . . . . 185--196
John A. Ford and
Adel F. Saadallah On the conditioning of the Hessian
approximation in quasi-Newton methods 197--206
A. Galperin and
Z. Waksman Newton's method under a weak smoothness
assumption . . . . . . . . . . . . . . . 207--215
S. González-Pinto and
L. Casasús and
P. González-Vera A numerical scheme to approximate the
solution of a singularly perturbed
nonlinear differential equation . . . . 217--225
C. C. Grosjean Deducing infinitely many mutually
related sequences of orthogonal
polynomials from solutions of
first-order initial-value problems: an
illustrative example . . . . . . . . . . 227--250
T. J\kekot Spectral methods for nonlinear
thermostatic bimetal . . . . . . . . . . 251--258
Lucas Jódar Closed-form solutions for boundary value
coupled differential and difference
systems . . . . . . . . . . . . . . . . 259--268
Ryszard Klempous and
Jerzy Kotowski Nonlinear transport network design . . . 269--275
Dirk P. Laurie Solving the inverse eigenvalue problem
via the eigenvector matrix . . . . . . . 277--289
Anatoly V. Panyukov and
Boris V. Pelzwerger Polynomial algorithms to finite Veber
problem for a tree network . . . . . . . 291--296
Ulrike Steinacker and
C. Leubner and
S. L. Kalla Uniform asymptotic expansions of a class
of integrals with finite endpoints of
integration on the same path of steepest
descent and with nearby saddle points 297--301
Manil Suri On the robustness of the $h$- and
$p$-versions of the finite-element
method . . . . . . . . . . . . . . . . . 303--310
B. Troff and
T. H. Lê and
Ta Phuoc Loc A numerical method for the
three-dimensional unsteady
incompressible Navier--Stokes equations 311--318
Jian-Wu Zhang A parametric study of pinched
orthotropic cylindrical shells . . . . . 319--330
Anonymous List of papers presented at the congress 331--334
Anonymous Author index to volume 35 (1991) . . . . 335--336
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
R. Verfürth Preface . . . . . . . . . . . . . . . . 1--1
Eberhard Bänsch An adaptive finite-element strategy for
the three-dimensional time-dependent
Navier--Stokes equations . . . . . . . . 3--28
L. Demkowicz and
J. T. Oden and
M. Ainsworth and
P. Geng Solution of elastic scattering problems
in linear acoustics using $h$--$p$
boundary element methods . . . . . . . . 29--63
William F. Mitchell Adaptive refinement for arbitrary
finite-element spaces with hierarchical
bases . . . . . . . . . . . . . . . . . 65--78
María-Cecilia Rivara Local modification of meshes for
adaptive and/or multigrid finite-element
methods . . . . . . . . . . . . . . . . 79--89
Stefan Sauter The ILU method for finite-element
discretizations . . . . . . . . . . . . 91--106
Erwin Stein and
Wilhelm Rust Mesh adaptations for linear 2d
finite-element discretizations in
structural mechanics, especially in thin
shell analysis . . . . . . . . . . . . . 107--129
Anonymous Newsletter on computational and applied
mathematics: Vol. 7, nr. 2, July 1991 N1--N12
Michael I. Taksar and
Winfried K. Grassmann Probabilistic approach to computational
algorithms for finding stationary
distributions of Markov chains . . . . . 131--136
Paula De Oliveira On the characterization of finite
differences ``optimal'' meshes . . . . . 137--148
Nobuko Sagara and
Masao Fukushima A hybrid method for the nonlinear least
squares problem with simple bounds . . . 149--157
D. M. Sloan Fourier pseudospectral solution of the
regularised long wave equation . . . . . 159--179
C. Dagnino and
E. Santi On the convergence of spline product
quadratures for Cauchy principal value
integrals . . . . . . . . . . . . . . . 181--187
M. N. Y. Anwar and
M. Y. Z. Koujouk Deflection of concentrically supported
and eccentrically loaded thin circular
plate . . . . . . . . . . . . . . . . . 189--207
Hong Jiang and
Yau Shu Wong A parallel alternating direction
implicit preconditioning method . . . . 209--226
Mina B. Abd-el-Malek and
Nagwa A. Badran Group method analysis of steady
free-convective laminar boundary-layer
flow on a nonisothermal vertical
circular cylinder . . . . . . . . . . . 227--238
Turgut Ozis An efficient approach to the solution of
the two-dimensional electrochemical
machining problem . . . . . . . . . . . 239--246
M. Meneguette Chawla--Numerov method revisited . . . . 247--250
W. Solak and
Z. Szydelko Quadrature rules with Gregory--Laplace
end corrections . . . . . . . . . . . . 251--253
Ioannis K. Argyros On the convergence of some projection
methods with perturbation . . . . . . . 255--258
Weimin Han Notes on ``A separation of the variables
method for solving coupled systems of
second-order partial differential
equations: exact, approximate solutions
and error bounds'' . . . . . . . . . . . 259--263
Lucas Jódar and
Enrique Navarro Exact computable solution of a class of
strongly coupled Riccati equations . . . 265--271
Paul K. Newton Letter Section . . . . . . . . . . . . . 273--273
S. N. Hanna Letter Section . . . . . . . . . . . . . 274--274
James F. Epperson A kernel-based method for parabolic
equations with nonlinear convection
terms . . . . . . . . . . . . . . . . . 275--288
Dan Butnariu and
Yair Censor A method for approximating the solution
set of a system of convex inequalities
by polytopes . . . . . . . . . . . . . . 289--304
Avram Sidi Efficient implementation of minimal
polynomial and reduced rank
extrapolation methods . . . . . . . . . 305--337
Lucas Jódar Explicit closed-form solution of coupled
systems of Volterra integrodifferential
systems . . . . . . . . . . . . . . . . 339--348
Vladimír Janovský and
Petr Plechác Asymptotic analysis of perturbed
Takens--Bogdanov points . . . . . . . . 349--359
Haakon Waadeland Boundary version of a twin region
convergence theorem for continued
fractions . . . . . . . . . . . . . . . 361--369
A. S. Wood A note on the use of the isotherm
migration method . . . . . . . . . . . . 371--384
Khalide Jbilou and
Hassane Sadok Some results about vector extrapolation
methods and related fixed-point
iterations . . . . . . . . . . . . . . . 385--398
C. H. Rohwer and
L. M. Toerien Locally monotone robust approximation of
sequences . . . . . . . . . . . . . . . 399--408
Anonymous Author Index to Volume 36 (1991) . . . . 409--410
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Anonymous Preface . . . . . . . . . . . . . . . . 1--2
Anonymous Curriculum vitae of Professor C. C.
Grosjean . . . . . . . . . . . . . . . . 3--4
Stefan Paszkowski An application of Chebyshev polynomial
to a problem of electrical engineering 5--17
Christian Radoux Some congruences and identities for
Gauss polynomials: a noncommutative
technique . . . . . . . . . . . . . . . 19--25
H. V. Smith An algebraic study of an extension of a
class of quadrature formulae . . . . . . 27--33
Bruce C. Berndt and
Ronald J. Evans Some elegant approximations and
asymptotic formulas of Ramanujan . . . . 35--41
C. C. Grosjean On a formula proposed by S. Ramanujan 43--56
C. Baltus and
S. Clement Cooper and
C. Craviotto and
J. H. McCabe On the use of a corresponding sequence
algorithm for $ \delta $-fractions . . . 57--69
A. Extremera Semiclassical treatment of the
path-integral approach to special
effects in superconductivity . . . . . . 71--79
J. W. B. Hughes and
J. Van der Jeugt Unimodal polynomials associated with Lie
algebras and superalgebras . . . . . . . 81--88
Andrés Cruz and
Javier Esparza and
Javier Sesma Zeros of the Hankel function of real
order out of the principal Riemann sheet 89--99
Stanis\law Lewanowicz Evaluation of Bessel function integrals
with algebraic singularities . . . . . . 101--112
M. J. Goovaerts Path-integral evaluation for the
three-dimensional potential $ \gamma
\delta (r - a) $ . . . . . . . . . . . . 113--124
P. J. De Doelder On some series containing $ \psi (x) -
\psi (y >) $ and $ (\psi (x) - \psi (y
>))^2 $ for certain values of $x$ and $y$ 125--141
J. Boersma Uniform asymptotics of a Bessel-function
series occurring in a transmission-line
problem . . . . . . . . . . . . . . . . 143--159
E. R. Arriola and
A. Zarzo and
J. S. Dehesa Spectral properties of the biconfluent
Heun differential equation . . . . . . . 161--169
Per W. Karlsson Inductance and hypergeometric functions 171--177
G. Vanden Berghe and
H. De Meyer On a correction of Numerov-like
eigenvalue approximations for
Sturm--Liouville problems . . . . . . . 179--186
V. Fack and
J. Van der Jeugt Algorithms for generating labelled
graphs with given degree . . . . . . . . 187--194
F. Marcellán and
E. Godoy Orthogonal polynomials on the unit
circle: distribution of zeros . . . . . 195--208
P. Maraner and
E. Onofri and
G. P. Tecchioli Spectral methods in computational
quantum mechanics . . . . . . . . . . . 209--219
S. Karanjai and
G. Biswas Time-dependent scattering and
transmission functions . . . . . . . . . 221--235
Walter Van Assche Orthogonal polynomials, associated
polynomials and functions of the second
kind . . . . . . . . . . . . . . . . . . 237--249
Julien Van Den Broeck and
Fernand Broeckx and
Leonard Kaufman Decomposing stochastic frontier
efficiency into secular and
organisational efficiency . . . . . . . 251--264
A. Ronveaux and
S. Belmehdi and
F. Marcellán Orthogonality with respect to the sum of
two semiclassical regular linear forms 265--272
B. Gabutti and
S. L. Kalla and
J. H. Hubbell Some expansions related to the Hubbell
rectangular-source integral . . . . . . 273--285
C. C. Grosjean and
H. M. Srivastava Some transformation and reduction
formulas for hypergeometric series in
several variables . . . . . . . . . . . 287--299
T. Bauwelinckx and
E. Labie and
M. J. Goovaerts A new approach for loaded credibility
premiums . . . . . . . . . . . . . . . . 301--314
Anonymous Author index to volume 37 (1991) . . . . 315--316
Anonymous Newsletter on computational and applied
mathematics: vol. 7, nr. 3, November
1991 . . . . . . . . . . . . . . . . . . N1--N10
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Tetsuro Yamamoto Preface . . . . . . . . . . . . . . . . ix--ix
E. L. Allgower and
C.-S. Chien and
K. Georg and
C.-F. Wang Conjugate gradient methods for
continuation problems . . . . . . . . . 1--16
Eugene L. Allgower and
Kurt Georg and
Ralf Widmann Volume integrals for boundary element
methods . . . . . . . . . . . . . . . . 17--29
O. Axelsson The method of diagonal compensation of
reduced matrix entries and multilevel
iteration . . . . . . . . . . . . . . . 31--43
Claude Brezinski and
Stefan Paszkowski Optimal linear contractive sequence
transformations . . . . . . . . . . . . 45--59
Xiaojun Chen and
Tetsuro Yamamoto PCG methods applied to a system of
nonlinear equations . . . . . . . . . . 61--75
J. Descloux and
Y. Jaccard and
M. V. Romerio A bidimensional stability result for
aluminium electrolytic cells . . . . . . 77--85
Heinz W. Engl and
Günther Hodina Uniform convergence of regularization
methods for linear ill-posed problems 87--103
Andreas Frommer Generalized nonlinear diagonal dominance
and applications to asynchronous
iterative methods . . . . . . . . . . . 105--124
Seiji Fujino and
Masatake Mori and
Toshiki Takeuchi Performance of hyperplane ordering on
vector computers . . . . . . . . . . . . 125--136
C. W. Gear Waveform methods for space and time
parallelism . . . . . . . . . . . . . . 137--147
C. W. Groetsch A simple numerical model for nonlinear
warming of a slab . . . . . . . . . . . 149--156
Takemitsu Hasegawa and
Tatsuo Torii Application of a modified FFT to product
type integration . . . . . . . . . . . . 157--168
Yasuhiko Ikebe and
Yasushi Kikuchi and
Issei Fujishiro Computing zeros and orders of Bessel
functions . . . . . . . . . . . . . . . 169--184
Kazuo Ishihara Projected successive overrelaxation
method for finite-element solutions to
the Dirichlet problem for a system of
nonlinear elliptic equations . . . . . . 185--200
Yuusuke Iso and
Kazuei Onishi On the stability of the boundary element
collocation method applied to the linear
heat equation . . . . . . . . . . . . . 201--209
Joseph W. Jerome Numerical approximation of PDE system
fixed-point maps via Newton's method . . 211--230
D. K. Kahaner and
E. Ng and
W. E. Schiesser and
S. Thompson Experiments with an ordinary
differential equation solver in the
parallel solution of method of lines
problems on a shared-memory parallel
computer . . . . . . . . . . . . . . . . 231--253
Yoshinori Kametaka On counting functions of self-similar
sequences . . . . . . . . . . . . . . . 255--262
Takashi Kitagawa Asymptotic stability of the fundamental
solution method . . . . . . . . . . . . 263--269
Xue-Zhang Liang and
Luo-Qing Li On bivariate osculatory interpolation 271--282
C. Liu and
Z. Liu and
S. McCormick Multilevel adaptive methods for
incompressible flow in grooved channels 283--295
George Miel Trends in systolic and cellular
computation . . . . . . . . . . . . . . 297--321
Mitsuhiro T. Nakao Solving nonlinear parabolic problems
with result verification. Part I:
one-space dimensional case . . . . . . . 323--334
Matu-Tarow Noda and
Tateaki Sasaki Approximate GCD and its application to
ill-conditioned equations . . . . . . . 335--351
Takuya Ooura and
Masatake Mori The double exponential formula for
oscillatory functions over the half
infinite interval . . . . . . . . . . . 353--360
Naoki Osada Acceleration methods for vector
sequences . . . . . . . . . . . . . . . 361--371
Beresford N. Parlett Symmetric matrix pencils . . . . . . . . 373--385
T. Sakurai and
T. Torii and
H. Sugiura A high-order iterative formula for
simultaneous determination of zeros of a
polynomial . . . . . . . . . . . . . . . 387--397
Hiroshi Sugiura and
Tatsuo Torii A method for constructing generalized
Runge--Kutta methods . . . . . . . . . . 399--410
Masahisa Tabata and
Shoichi Fujima Finite-element analysis of high Reynolds
number flow past a circular cylinder . . 411--424
Teruo Ushijima Computational aspect of linear water
wave problem . . . . . . . . . . . . . . 425--445
Wang Deren and
Zhao Fengguang On the determination of the safe initial
approximation for the Durand--Kerner
algorithm . . . . . . . . . . . . . . . 447--456
You Zhaoyong and
Xu Zongben Ball algorithms for constructing
solutions of nonlinear operator
equations . . . . . . . . . . . . . . . 457--471
Anonymous List of invited talks . . . . . . . . . 473--474
Anonymous List of talks at the symposium . . . . . 475--475
Anonymous Author index to volume 38 (1991) . . . . 477--478
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Ioannis K. Argyros Some generalized projection methods for
solving operator equations . . . . . . . 1--6
Turgut Ozis The extension of Picard's successive
approximation for constructing two-side
bounds for the solutions of differential
equations . . . . . . . . . . . . . . . 7--14
Francisco Cala Rodriguez and
Hans Wallin Padé-type approximants and a summability
theorem by Eiermann . . . . . . . . . . 15--21
Carmen Heusser Conjugate gradient-type algorithms for a
finite-element discretization of the
Stokes equations . . . . . . . . . . . . 23--37
William F. Trench Mild integrability conditions for global
solutions of an elliptic equation . . . 38--48
A. De Matteis and
J. Eichenauer-Herrmann and
H. Grothe Computation of critical distances within
multiplicative congruential pseudorandom
number sequences . . . . . . . . . . . . 49--55
Marco Marletta and
John D. Pryce Automatic solution of Sturm--Liouville
problems using the Pruess method . . . . 57--78
Philip Rabinowitz and
William E. Smith Interpolatory product integration in the
presence of singularities: $ L_2 $
theory . . . . . . . . . . . . . . . . . 79--87
T. E. Simos Explicit two-step methods with minimal
phase-lag for the numerical integration
of special second-order initial-value
problems and their application to the
one-dimensional Schrödinger equation . . 89--94
M. Ptak and
A. Rutkowska and
J. Szczurek A note on inverses of power series . . . 95--101
L. Rández On the simultaneous numerical
integration of an IVP and its associated
variational equation . . . . . . . . . . 103--108
Aatos Lahtinen On the choice of parameters in
shape-preserving quadratic spline
interpolation . . . . . . . . . . . . . 109--113
Lucas Jódar and
Enrique Navarro Solving coupled systems of linear
second-order differential equations
knowing a part of the spectrum of the
companion matrix . . . . . . . . . . . . 115--119
A. S. Vasudeva Murthy and
J. G. Verwer Solving parabolic integro-differential
equations by an explicit integration
method . . . . . . . . . . . . . . . . . 121--132
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . n1--n12
D. Meredith and
H. Rasmussen Boundary approximation methods for
potential problems associated with
moving boundary problems . . . . . . . . 133--149
V. I. Galiev and
A. F. Polupanov and
I. E. Shparlinski On the construction of solutions of
systems of linear ordinary differential
equations in the neighbourhood of a
regular singularity . . . . . . . . . . 151--163
S. C. Fang and
E. L. Peterson and
J. R. Rajasekera Minimum cross-entropy analysis with
entropy-type constraints . . . . . . . . 165--178
Nira Dyn and
David Levin and
Samuel Rippa Boundary correction for piecewise linear
interpolation defined over
data-dependent triangulations . . . . . 179--192
Mark Nardin and
W. F. Perger and
Atul Bhalla Numerical evaluation of the confluent
hypergeometric function for complex
arguments of large magnitudes . . . . . 193--200
Tsuyako Miyakoda Balanced convergence of iterative
methods to a multiple zero of a complex
polynomial . . . . . . . . . . . . . . . 201--212
James F. Epperson Fast direct solvers for the heat
equation in simple geometries . . . . . 213--225
Hugo L. Janssen and
Hendrik L. Lambert Recursive construction of particular
solutions to nonhomogeneous linear
partial differential equations of
elliptic type . . . . . . . . . . . . . 227--242
Miodrag Petkovi\'c and
Dragoslav Herceg Higher-order iterative methods for
approximating zeros of analytic
functions . . . . . . . . . . . . . . . 243--258
A. M. Bruaset and
A. Tveito RILU preconditioning; a computational
study . . . . . . . . . . . . . . . . . 259--275
Adel F. Saadallah A rational gradient model for
minimization . . . . . . . . . . . . . . 277--286
D. J. Higham Monotonic piecewise cubic interpolation,
with applications to ODE plotting . . . 287--294
Stan Cabay and
George Labahn and
Bernhard Beckermann On the theory and computation of
nonperfect Padé--Hermite approximants . . 295--313
I. S. Litvinchev Iterative aggregation method for
constrained optimal control problems . . 315--328
Magolu monga-ade Lower eigenvalue bounds for singular
pencils of matrices . . . . . . . . . . 329--351
M. H. Hamdan and
R. M. Barron Applications of von Mises coordinates in
porous media flow . . . . . . . . . . . 353--361
Max Ashkenazi and
Shui-Nee Chow and
Byron Drachman Symbolic computation of normal forms for
nonlinear Hamiltonian systems . . . . . 363--378
Doron Zeilberger Gauss's $_2$ $F$ $_1$ (1) cannot be
generalized to $_2$ $F$ $_1$ ( $x$ ) . . 379--382
Fatin Sezgin Some comments on computer implementation
of random number generators . . . . . . 383--386
Zhu Haiyan Fast methods for computing the values of
the derivatives of a rational function 387--391
Anonymous Author index . . . . . . . . . . . . . . 393--393
Anonymous Editorial board . . . . . . . . . . . . ii--iii
R. Butt and
J. E. Rubio Optimal shape design for a frictionless
contact problem . . . . . . . . . . . . 1--17
Bernhard Beckermann A reliable method for computing $M$-Padé
approximants on arbitrary staircases . . 19--42
G. R. Dargahi-Noubary and
A. Nanthakumar Stress-strength reliability for designs
based on large historic values of stress 43--53
Arindama Singh A numerical method for singularly
perturbed systems of linear two-point
boundary-value problems using partial
decoupling . . . . . . . . . . . . . . . 55--62
A. K. Yeyios On two sequences of algorithms for
approximating square roots . . . . . . . 63--72
A. T. Chronopoulos Nonlinear CG-like iterative methods . . 73--89
Ezio Venturino The Galerkin method for singular
integral equations revisited . . . . . . 91--103
M. Vander Stracten and
H. Van de Vel Multiple root-finding methods . . . . . 105--114
E. H. Twizell and
S. A. Matar Numerical methods for computing the
eigenvalues of linear fourth-order
boundary-value problems . . . . . . . . 115--125
Marci A. Perlstadt Restricted polynomial expansions and
approximation . . . . . . . . . . . . . 127--135
George A. Anastassiou and
Svetlozar T. Rachev Editorial . . . . . . . . . . . . . . . 137--137
Barry C. Arnold Logistic and semi-logistic processes . . 139--149
Johann Boos and
Hubert Tietz Convexity theorems for the circle
methods of summability . . . . . . . . . 151--155
Maury Bramson and
Claudia Neuhauser A catalytic surface reaction model . . . 157--161
Aaron Gross and
James B. Robertson Ergodic properties of stationary Poisson
sequences . . . . . . . . . . . . . . . 163--175
G. Hinsen Explicit irregular sampling formulas . . 177--198
S. Jansche and
R. L. Stens Best weighted polynomial approximation
on the real line; a functional-analytic
approach . . . . . . . . . . . . . . . . 199--213
P. R. Masani The measure-theoretic aspects of
entropy, part $I$ . . . . . . . . . . . 215--232
M. I. Taksar Skorohod problems with nonsmooth
boundary conditions . . . . . . . . . . 233--251
R. Butt An existence theory for a minimum energy
problem . . . . . . . . . . . . . . . . 253--257
Matu-Tarow Noda and
Eiichi Miyahiro A hybrid approach for the integration of
a rational function . . . . . . . . . . 259--268
Igor Moret A method for the computation of
nonsimple turning points corresponding
to cusps . . . . . . . . . . . . . . . . 269--284
W. E. Hart and
F. Soesianto On the solution of highly structured
nonlinear equations . . . . . . . . . . 285--296
Lisa Lorentzen Bestness of the parabola theorem for
continued fractions . . . . . . . . . . 297--304
Gao Junbin A new finite element of $C$ $^1$ cubic
splines . . . . . . . . . . . . . . . . 305--312
M. M. Gabr Nonlinearity tests for bilinear systems 313--322
N. G. Lloyd and
J. M. Pearson Computing centre conditions for certain
cubic systems . . . . . . . . . . . . . 323--336
C. G. Kokologiannaki and
P. D. Siafarikas and
C. B. Kouris On the complex zeros of $ H_\mu (z) $, $
J^'_\mu (z) $, $ J^{''}_\mu (z) $ for
real or complex order . . . . . . . . . 337--344
Jürgen Eichenauer-Herrmann Construction of inversive congruential
pseudorandom number generators with
maximal period length . . . . . . . . . 345--349
Thomas Hanschke Characterization of anti dominant
solutions of linear differential
equations . . . . . . . . . . . . . . . 351--361
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
William M. Y. Goh and
Eric Schmutz Preface . . . . . . . . . . . . . . . . 1--2
Á. Elbert Asymptotic behaviour of the analytic
solution of the differential equation $
y'(t) + y(q t) = 0 $ as $ q \to 1^- $ 5--22
Yuichi Kitamura and
Kusano Taka\vsi Asymptotic analysis of solutions of
systems of neutral functional
differential equations . . . . . . . . . 23--33
John R. Graef and
Paul W. Spikes On the oscillation of an nth-order
nonlinear neutral delay differential
equation . . . . . . . . . . . . . . . . 35--40
Jozef Rovder Asymptotic and oscillatory behaviour of
solutions of a linear differential
equation . . . . . . . . . . . . . . . . 41--47
G. K. Kulev Uniform asymptotic stability in
impulsive perturbed systems of
differential equations . . . . . . . . . 49--55
Jan Andres Asymptotic properties of solutions to
quasi-linear differential systems . . . 57--64
R. Wong and
H. Li Asymptotic expansions for second-order
linear difference equations . . . . . . 65--94
William F. Trench Asymptotic behavior of solutions of a
linear second-order difference equation 95--103
Renato Spigler and
Marco Vianello Liouville--Green approximations for a
class of linear oscillatory difference
equations of the second order . . . . . 105--116
R. B. Paris Smoothing of the Stokes phenomenon using
Mellin--Barnes integrals . . . . . . . . 117--133
R. B. Paris and
A. D. Wood Exponentially-improved asymptotics for
the gamma function . . . . . . . . . . . 135--143
N. M. Temme Asymptotic inversion of the incomplete
beta function . . . . . . . . . . . . . 145--157
Lothar Berg The asymptotic expansion of a
convolution integral . . . . . . . . . . 159--161
B. Bertram and
O. Ruehr Product integration for finite-part
singular integral equations: Numerical
asymptotics and convergence acceleration 163--173
Zhicheng Gao and
L. Bruce Richmond Central and local limit theorems applied
to asymptotic enumeration IV:
multivariate generating functions . . . 177--186
A. M. Odlyzko Explicit Tauberian estimates for
functions with positive coefficients . . 187--197
E. M. Palmer Matchings in random superpositions of
bipartite trees . . . . . . . . . . . . 199--204
Tomasz Luczak and
Andrzej Ruci\'nski Convex hulls of dense balanced graphs 205--213
Persi Diaconis and
Ron Graham An affine walk on the hypercube . . . . 215--235
Hosam M. Mahmoud Distances in random plane-oriented
recursive trees . . . . . . . . . . . . 237--245
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N16
P. Achuthan and
S. Ponnuswamy Padé approximants and
Eisenstein--Ramanujan continued fraction 247--264
Oliver D. Anderson and
Jan G. De Gooijer Discriminating between nonstationary and
nearly nonstationary time series models:
a simulation study . . . . . . . . . . . 265--280
Charles A. Micchelli Banded matrices with banded inverses . . 281--300
Gilbert Choudury and
Philip Korman On computation of solutions of fully
nonlinear elliptic problems . . . . . . 301--311
Riccardo Fazio Numerical length estimation for tubular
flow reactors . . . . . . . . . . . . . 313--321
A. Cuyt Extension of ``A multivariate
convergence theorem of the `de Montessus
de Ballore' type'' to multipoles . . . . 323--330
M.-R. Skrzipek Orthogonal polynomials for modified
weight functions . . . . . . . . . . . . 331--346
Qun Lin and
J. G. Rokne Circular centered forms for rational
functions in several complex variables 347--357
G. Vanden Berghe and
M. Van Daele and
H. De Meyer A five-diagonal finite-difference method
based on mixed-type interpolation for
computing eigenvalues of fourth-order
two-point boundary-value problems . . . 359--372
I. Makrelov On a modification of Chebyshev's method 373--375
Lucas Jódar Analytical approximate solutions and
error bounds for nonsymmetric Riccati
matrix differential equations . . . . . 377--383
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Andreas Kirsch Introduction . . . . . . . . . . . . . . 1--3
David Colton and
Peter Monk A comparison of two methods for solving
the inverse scattering problem for
acoustic waves in an inhomogeneous
medium . . . . . . . . . . . . . . . . . 5--16
R. E. Kleinman and
P. M. van den Berg A modified gradient method for two-
dimensional problems in tomography . . . 17--35
F. Alberto Grünbaum Three-dimensional scattering and the
Heisenberg inequality . . . . . . . . . 37--47
Rainer Kress and
Axel Zinn On the numerical solution of the
three-dimensional inverse obstacle
scattering problem . . . . . . . . . . . 49--61
Theodore Apostolopoulos and
George Dassios A parallel algorithm for solving the
inverse scattering moment problem . . . 63--77
Victor Isakov Stability estimates for obstacles in
inverse scattering . . . . . . . . . . . 79--88
Jet Wimp and
Chris Rorres and
Richard F. Wayland, Jr. Acoustic impulse responses for
nonuniform media . . . . . . . . . . . . 89--107
Zonghou Xiong and
Andreas Kirsch Three-dimensional earth conductivity
inversion . . . . . . . . . . . . . . . 109--121
Erkki Somersalo and
David Isaacson and
Margaret Cheney A linearized inverse boundary value
problem for Maxwell's equations . . . . 123--136
Sailing He and
Staffan Ström The electromagnetic inverse problem in
the time domain for a dissipative slab
and a point source using invariant
imbedding: reconstruction of the
permittivity and conductivity . . . . . 137--155
L. S. Mulholland and
D. M. Sloan The role of preconditioning in the
solution of evolutionary partial
differential equations by implicit
Fourier pseudospectral methods . . . . . 157--174
Conor J. Fitzsimons and
Fawang Liu and
John J. H. Miller A second-order $L$-stable time
discretisation of the semiconductor
device equations . . . . . . . . . . . . 175--186
Ala Al-Rabeh Towards a general integration algorithm
for time-dependent one-dimensional
systems of parabolic partial
differential equations using the method
of lines . . . . . . . . . . . . . . . . 187--198
D. Meredith and
H. Rasmussen Rational approximation schemes for
unstable Hele--Shaw flows . . . . . . . 199--214
D. P. Mishev and
D. D. Bainov A necessary and sufficient condition for
oscillation of neutral type hyperbolic
equations . . . . . . . . . . . . . . . 215--220
Vladimir Druskin and
Leonid Knizhnerman The Lanczos optimization of a
splitting-up method to solve homogeneous
evolutionary equations . . . . . . . . . 221--231
Tadeusz Stys A finite-difference scheme
overconvergent at certain mesh points 233--243
Carla Giordano and
Lucia G. Rodon\`o Further monotonicity and convexity
properties of the zeros of cylinder
functions . . . . . . . . . . . . . . . 245--251
S. Roy Choudhury Waveform relaxation techniques for
linear and nonlinear diffusion equations 253--267
J. A. Grant and
A. A. Rahman Determination of the zeros of a linear
combination of generalised polynomials 269--278
P. W. Sharp and
J. M. Fine Some Nyström pairs for the general
second-order initial-value problem . . . 279--291
P. W. Sharp and
J. M. Fine A contrast of direct and transformed
Nyström pairs . . . . . . . . . . . . . . 293--308
Paul B. Peart and
Ricardo A. Mitchell On computing the exact value of
dispersion of a sequence . . . . . . . . 309--337
Walter C. Lynge A combined method for polynomial roots
using modified Newton--Raphson with
minimum searching . . . . . . . . . . . 339--355
S. K. Kim and
A. T. Chronopoulos An efficient nonsymmetric Lanczos method
on parallel vector computers . . . . . . 357--374
Apostolos Hadjidimos and
Yiannis G. Saridakis Modified successive overrelaxation
(MSOR) and equivalent $2$-step iterative
methods for collocation matrices . . . . 375--393
Anonymous Author Index to Volume 42 (1992) . . . . 395--395
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Giovanni Monegato Preface . . . . . . . . . . . . . . . . 1--2
J. Szabados and
P. Vértosi A survey on mean convergence of
interpolatory processes . . . . . . . . 3--18
Walter Gautschi On mean convergence of extended Lagrange
interpolation . . . . . . . . . . . . . 19--35
Giuseppe Mastroianni Uniform convergence of derivatives of
Lagrange interpolation . . . . . . . . . 37--51
Christine Bernardi and
Yvon Maday Polynomial interpolation results in
Sobolev spaces . . . . . . . . . . . . . 53--80
David Gottlieb and
Chi-Wang Shu and
Alex Solomonoff and
Hervé Vandeven On the Gibbs phenomenon I: recovering
exponential accuracy from the Fourier
partial sum of a nonperiodic analytic
function . . . . . . . . . . . . . . . . 81--98
Bernd Fischer and
Gene H. Golub How to generate unknown orthogonal
polynomials out of known orthogonal
polynomials . . . . . . . . . . . . . . 99--115
M. D. Buhmann and
A. Iserles On orthogonal polynomials transformed by
the $ Q R $ algorithm . . . . . . . . . 117--134
Roland W. Freund Quasi-kernel polynomials and their use
in non-Hermitian matrix iterations . . . 135--158
Robert Piessens and
Maria Branders On the computation of Fourier transforms
of singular functions . . . . . . . . . 159--169
Dietmar Berthold On the stability of the classical
collocation method for Cauchy-type
singular integral equations . . . . . . 171--184
D. Berthold and
W. Hoppe and
B. Silbermann A fast algorithm for solving the
generalized airfoil equation . . . . . . 185--219
V. J. Ervin and
E. P. Stephan Collocation with Chebyshev polynomials
for a hypersingular integral equation on
an interval . . . . . . . . . . . . . . 221--229
J. C. Butcher The role of orthogonal polynomials in
numerical ordinary differential
equations . . . . . . . . . . . . . . . 231--242
Uri M. Ascher and
Linda R. Petzold Projected collocation for higher-order
higher-index differential-algebraic
equations . . . . . . . . . . . . . . . 243--259
Daniele Funaro Approximation by the Legendre
collocation method of a model problem in
electrophysiology . . . . . . . . . . . 261--271
Anonymous Newsletter on computational and applied
mathematics: Vol. 8, nr. 3, November
1992 . . . . . . . . . . . . . . . . . . N1--N14
Jian Guo Zhang An iterative method of global
convergence without derivatives in the
class of smooth functions . . . . . . . 273--289
A. B. Andreev and
V. A. Kascieva and
M. Vanmaele Some results in lumped mass
finite-element approximation of
eigenvalue problems using numerical
quadrature formulas . . . . . . . . . . 291--311
T. E. Simos and
A. D. Raptis A fourth-order Bessel fitting method for
the numerical solution of the Schrödinger
equation . . . . . . . . . . . . . . . . 313--322
L. Jódar and
J. A. Martin Alustiza Explicit solution of systems of
second-order differential-difference
equations . . . . . . . . . . . . . . . 323--334
Ioannis K. Argyros On the convergence of generalized Newton
methods and implicit functions . . . . . 335--342
Daoqi Yang A characteristic mixed method with
dynamic finite-element space for
convection-dominated diffusion problems 343--353
Stanis\law Lewanowicz Quick construction of recurrence
relations for the Jacobi coefficients 355--372
Layne T. Watson and
Alexander P. Morgan Polynomial programming using multi-
homogeneous polynomial continuation . . 373--382
Jürgen Eichenauer-Herrmann A remark on the discrepancy of quadratic
congruential pseudorandom numbers . . . 383--387
Anonymous Editorial board . . . . . . . . . . . . ii--iii
B. Yu. Scobelev and
E. V. Vorozhtsov Stability analysis of difference schemes
by catastrophe theory methods . . . . . 1--20
Gilles Pag\`es Van der Corput sequences, Kakutani
transforms and one-dimensional numerical
integration . . . . . . . . . . . . . . 21--39
Thomas C. Hales The sphere packing problem . . . . . . . 41--76
Fawang Liu and
John J. H. Miller Inverse average type tetrahedral
finite-element schemes for the
stationary semiconductor device
equations . . . . . . . . . . . . . . . 77--94
John P. Coleman and
Andrew S. Booth Analysis of a family of Chebyshev
methods for y'' = f(x, y) . . . . . . . 95--114
E. K. Ifantis and
P. D. Siafarikas A differential inequality for the
positive zeros of Bessel functions . . . 115--120
Ulrike Steinacker and
C. Leubner and
S. L. Kalla Uniform asymptotic expansions of a class
of incomplete cylindrical functions . . 121--130
Miloslav Feistauer and
Jirí Felcman and
Mirko Rokyta and
Zdenek Vlásek Finite-element solution of flow problems
with trailing conditions . . . . . . . . 131--166
Roland Haas and
Hans Brauchli Extracting singularities of Cauchy
integrals --- a key point of a fast
solver for plane potential problems with
mixed boundary conditions . . . . . . . 167--186
Riaz A. Usmani The use of quartic splines in the
numerical solution of a fourth-order
boundary value problem . . . . . . . . . 187--200
Werner Liniger and
Farouk Odeh and
Veikko Hara A second-order sparse factorization
method for Poisson's equation with mixed
boundary conditions . . . . . . . . . . 201--218
Stefan Paszkowski Evaluation of a $C$-table . . . . . . . 219--234
A. B. Sideridis and
T. E. Simos A low-order embedded Runge--Kutta method
for periodic initial-value problems . . 235--244
P. R. Masani The measure-theoretic aspects of
entropy, Part II . . . . . . . . . . . . 245--260
Dieter Klusch The sampling theorem, Dirichlet series
and Hankel transforms . . . . . . . . . 261--273
Franz Peherstorfer Finite perturbations of orthogonal
polynomials . . . . . . . . . . . . . . 275--302
Erlend Arge and
Morten Dæhlen and
Aslak Tveito Box spline interpolation; a
computational study . . . . . . . . . . 303--329
B. Büttgenbach and
H. Esser and
G. Lüttgens and
R. J. Nessel A sharp error estimate for the numerical
solution of a Dirichlet problem for the
Poisson equation . . . . . . . . . . . . 331--337
Abdelaziz Rhandi Dyson--Phillips expansion and unbounded
perturbations of linear $
c_0$-semigroups . . . . . . . . . . . . 339--349
Xiezhang Li An adaptive method for solving
nonsymmetric linear systems involving
applications of SCPACK . . . . . . . . . 351--370
Alan Krinik Taylor series solution of the M/M/1
queueing system . . . . . . . . . . . . 371--380
Robin Pemantle and
Mathew D. Penrose On path integrals for the
high-dimensional Brownian bridge . . . . 381--390
Anonymous Author index to volume 44 (1992) . . . . 391--391
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
John C. Butcher and
Jeff R. Cash and
Pieter J. van der Houwen Preface . . . . . . . . . . . . . . . . 1--2
W. Auzinger and
R. Frank and
G. Kirlinger Modern convergence theory for stiff
initial-value problems . . . . . . . . . 5--16
Kevin Burrage and
R. P. K. Chan On smoothing and order reduction effects
for implicit Runge--Kutta formulae . . . 17--27
M. Calvo and
J. I. Montijano and
L. Rández $ A_0 $-stability of variable stepsize
BDF methods . . . . . . . . . . . . . . 29--39
J. R. Cash and
S. Semnani A new approach to solving nonstiff
initial-value problems . . . . . . . . . 41--46
Luca Dieci On the decoupling of dichotomic linear
Hamiltonians. Considerations on
integrating symmetric differential
Riccati equations . . . . . . . . . . . 47--63
Timo Eirola Aspects of backward error analysis of
numerical ODEs . . . . . . . . . . . . . 65--73
R. Vermiglio Multistep high-order interpolants of
Runge--Kutta methods . . . . . . . . . . 75--88
J. R. Cash and
H. H. M. Silva On the numerical solution of a class of
singular two-point boundary value
problems . . . . . . . . . . . . . . . . 91--102
Lixin Liu and
Robert D. Russell Linear system solvers for boundary value
ODEs . . . . . . . . . . . . . . . . . . 103--117
A. Bellen and
Z. Jackiewicz and
M. Zennaro Time-point relaxation Runge--Kutta
methods for ordinary differential
equations . . . . . . . . . . . . . . . 121--137
Kevin Burrage Efficient block predictor--corrector
methods with a small number of
corrections . . . . . . . . . . . . . . 139--150
B. P. Sommeijer Parallel-iterated Runge--Kutta methods
for stiff ordinary differential
equations . . . . . . . . . . . . . . . 151--168
M. R. Crisci and
E. Russo and
P. J. van der Houwen and
A. Vecchio Stability of parallel
Volterra--Runge--Kutta methods . . . . . 169--180
Ian Gladwell and
Marcin Paprzycki Parallel solution of almost block
diagonal systems on the CRAY Y-MP using
level 3 BLAS . . . . . . . . . . . . . . 181--189
K. Wright Parallel treatment of block-bidiagonal
matrices in the solution of ordinary
differential boundary value problems . . 191--200
J. C. Butcher and
P. B. Johnston Estimating local truncation errors for
Runge--Kutta methods . . . . . . . . . . 203--212
G. J. Cooper and
R. Vignesvaran Some schemes for the implementation of
implicit Runge--Kutta methods . . . . . 213--225
Desmond J. Higham The tolerance proportionality of
adaptive ODE solvers . . . . . . . . . . 227--236
Anonymous Vol. 9, nr. 1, March 1993 . . . . . . . N1--N18
Sukanta Kumar Bhatta and
K. Suryanarayana Sastri Symmetric spline procedures for boundary
value problems with mixed boundary
conditions . . . . . . . . . . . . . . . 237--250
Carsten Carstensen and
Miodrag S. Petkovi\'c On iteration methods without derivatives
for the simultaneous determination of
polynomial zeros . . . . . . . . . . . . 251--266
Hervé Le Ferrand Vector orthogonal polynomials and matrix
series . . . . . . . . . . . . . . . . . 267--282
Mikhail Naguib Mikhail and
Mostafa R. El-Tantawy Effect of the medium viscosity on sound
propagation and attenuation in ducts . . 283--298
M. Ganesh A BIE method for a nonlinear BVP . . . . 299--308
Jean Mbaro-Saman Lubuma Error estimates in projective solutions
of the Radon equation . . . . . . . . . 309--319
J. A. Ferreira and
Paula De Oliveira Convergence properties of numerical
discretizations and regridding methods 321--330
D. M. Timus Some further results on the Hubbell
rectangular source integral . . . . . . 331--336
William Layton Optimal difference schemes for $2$-D
transport problems . . . . . . . . . . . 337--341
E. H. Kaufman, Jr. and
G. D. Taylor Coupled constrained rational
approximation . . . . . . . . . . . . . 343--346
Nguyen huu Cong Note on the performance of direct and
indirect Runge--Kutta--Nyström methods 347--355
P. W. Hemker and
J.-A. Désidéri Convergence behaviour of defect
correction for hyperbolic equations . . 357--365
Michael K. Oberle and
Steven L. Scott and
George T. Gilbert and
Rhonda L. Hatcher and
David F. Addis Mellin transforms of a generalization of
Legendre polynomials . . . . . . . . . . 367--369
Anonymous Author index to volume 45 (1993) . . . . 371--372
Anonymous Editorial Board . . . . . . . . . . . . iv--v
N. Papamichael and
E. B. Saff Preface . . . . . . . . . . . . . . . . 1--5
Louis H. Howell Numerical conformal mapping of circular
arc polygons . . . . . . . . . . . . . . 7--28
D. M. Hough and
J. Levesley and
S. N. Chandler-Wilde Numerical conformal mapping via
Chebyshev weighted solutions of Symm's
integral equation . . . . . . . . . . . 29--48
Thomas K. DeLillo and
Alan R. Elcrat A Fornberg-like conformal mapping method
for slender regions . . . . . . . . . . 49--64
N. Papamichael and
E. B. Saff Local behaviour of the error in the
Bergman kernel method for numerical
conformal mapping . . . . . . . . . . . 65--75
J. M. Floryan and
Charles Zemach Schwarz--Christoffel methods for
conformal mapping of regions with a
periodic boundary . . . . . . . . . . . 77--102
Thomas K. DeLillo and
John A. Pfaltzgraff Extremal distance, harmonic measure and
numerical conformal mapping . . . . . . 103--113
Martin Greenhow A complex variable method for the
floating-body boundary-value problem . . 115--128
Gerhard Starke Fejér--Walsh points for rational
functions and their use in the ADI
iterative method . . . . . . . . . . . . 129--141
Elias Wegert Iterative methods for discrete nonlinear
Riemann--Hilbert problems . . . . . . . 143--163
Rudolf Wegmann Extremal problems for harmonic mappings
from the unit disc to convex regions . . 165--181
William B. Gragg Positive definite Toeplitz matrices, the
Arnoldi process for isometric operators,
and Gaussian quadrature on the unit
circle . . . . . . . . . . . . . . . . . 183--198
Jean-Paul Berrut A formula for optimal integration in $H$
$^2$ . . . . . . . . . . . . . . . . . . 199--210
Gregory S. Ammar and
William B. Gragg and
Lothar Reichel An analogue for Szeg\Ho polynomials of
the Clenshaw algorithm . . . . . . . . . 211--216
William B. Jones and
W. J. Thron and
Olav Njåstad and
Haakon Waadeland Szeg\Ho polynomials applied to frequency
analysis . . . . . . . . . . . . . . . . 217--228
Claude Brezinski and
Ana C. Matos Least-squares orthogonal polynomials . . 229--239
Carl Jagels and
Lothar Reichel On the construction of Szeg\Ho
polynomials . . . . . . . . . . . . . . 241--254
Laurent Baratchart and
Martin Zerner On the recovery of functions from
pointwise boundary values in a
Hardy--Sobolev class of the disk . . . . 255--269
Roger W. Barnard and
Kent Pearce and
Richard S. Varga An application from partial sums of $
e^z $ to a problem in several complex
variables . . . . . . . . . . . . . . . 271--279
J. M. Borwein and
P. B. Borwein Class number three Ramanujan type series
for $ 1 / \pi $ . . . . . . . . . . . . 281--290
J. C. Mason and
G. H. Elliott Near-minimax complex approximation by
four kinds of Chebyshev polynomial
expansion . . . . . . . . . . . . . . . 291--300
A. Iserles A constructive approach to the Schröder
equation . . . . . . . . . . . . . . . . 301--314
Peter A. McCoy Near-circularity of the error curve in
Chebyshev approximation of solutions to
a class of elliptic partial differential
equations in the complex plane . . . . . 315--326
John Carroll A composite integration scheme for the
numerical solution of systems of
parabolic PDEs in one space dimension 327--343
M. A. El-Gebeily and
A. Boumenir and
M. B. M. Elgindi Existence and uniqueness of solutions of
a class of two-point singular nonlinear
boundary value problems . . . . . . . . 345--355
Tsuyako Miyakoda Multiplicity estimating algorithm for
zeros of a complex polynomial and its
applications . . . . . . . . . . . . . . 357--368
Bernard Bialecki and
Graeme Fairweather Matrix decomposition algorithms for
separable elliptic boundary value
problems in two space dimensions . . . . 369--386
K. Pan Asymptotics for Szeg\Ho polynomials
associated with Wiener--Levinson filters 387--394
C. Baltus Truncation error bounds for the
composition of limit-periodic linear
fractional transformations . . . . . . . 395--404
Brian J. Melloy and
G. Kemble Bennett Computing the exponential of an
intensity matrix . . . . . . . . . . . . 405--413
P. Chin and
P. A. Forsyth A comparison of GMRES and CGSTAB
accelerations for incompressible
Navier--Stokes problems . . . . . . . . 415--426
K. Pan Strong and weak convergence of
orthogonal systems of rational functions
on the unit circle . . . . . . . . . . . 427--436
Richard E. Barlow and
Fabio Spizzichino Schur-concave survival functions and
survival analysis . . . . . . . . . . . 437--447
Robert S. Maier Phase-type distributions and the
structure of finite Markov chains . . . 449--453
A. Salam On a generalization of the $ \epsilon
$-algorithm . . . . . . . . . . . . . . 455--464
Anonymous Author index to volume 46 (1993) . . . . 465--466
Anonymous Editorial Board . . . . . . . . . . . . iv--v
D. Morales and
L. Pardo and
M. Salicrú and
M. L. Menéndez The $ \lambda $-divergence and the $
\lambda $-mutual information: estimation
in the stratified sampling . . . . . . . 1--10
R. R. P. van Nooyen An improved accuracy version of the
mixed finite-element method for a
second-order elliptic equation . . . . . 11--33
K. Djidjeli and
E. H. Twizell and
A. Boutayeb Numerical methods for special nonlinear
boundary-value problems of order 2 $m$ 35--45
Peter Köhler On the error of parameter-dependent
compound quadrature formulas . . . . . . 47--60
M. van Veldhuizen and
A. F. Bervoets and
W. Zijl Dichotomy of a special recurrence
relation from the earth sciences . . . . 61--66
George A. Baker, Jr. and
P. R. Graves-Morris Determinants and the structure of the
integral approximant table . . . . . . . 67--81
Andrzej W. K\kedzierawski The inverse scattering problem for
time-harmonic acoustic waves in an
inhomogeneous medium with complex
refraction index . . . . . . . . . . . . 83--100
Peter Monk An analysis of Nédélec's method for the
spatial discretization of Maxwell's
equations . . . . . . . . . . . . . . . 101--121
Lisa Lorentzen A note on separate convergence for
continued fractions . . . . . . . . . . 123--133
Andrea Laforgia and
Maria Luisa Mathis Additional monotonicity results for the
zeros of Bessel functions . . . . . . . 135--139
Andrzej Drozdowicz and
Jerzy Popenda Asymptotic behavior of solutions of
difference equations of second order . . 141--149
Rizwan Butt Optimum design with finite elements:
design of electrochemical machining . . 151--165
Tamás Erdélyi Remez-type inequalities and their
applications . . . . . . . . . . . . . . 167--209
Huang Zhengda A note on the Kantorovich theorem for
Newton iteration . . . . . . . . . . . . 211--217
S. A. El-Serafi and
F. Z. El-Halafawy and
M. H. Eissa and
M. M. Kamel An MSPT of a parametrically excited
cantilever beam . . . . . . . . . . . . 219--239
George A. Baker, Jr. and
P. R. Graves-Morris Results on sequences of Hermite--Padé
integral approximants . . . . . . . . . 241--252
M. F. Pettigrew and
H. Rasmussen Numerical solutions for unstable
Hele--Shaw flows . . . . . . . . . . . . 253--266
C. Jayasri and
Y. Sitaraman On a Bernstein-type operator of
Bleimann, Butzer and Hahn . . . . . . . 267--272
Daniel I. Okunbor Variable step size does not harm
second-order integrators for Hamiltonian
systems . . . . . . . . . . . . . . . . 273--275
Lothar Berg On the discretization of generalized
Riccati differential equations with
constant coefficients . . . . . . . . . 277--283
Muhammad Aslam Noor and
Khalida Inayat Noor and
Themistocles M. Rassias Some aspects of variational inequalities 285--312
K. Pan On orthogonal systems of rational
functions on the unit circle and
polynomials orthogonal with respect to
varying measures . . . . . . . . . . . . 313--322
Lester F. Caudill, Jr. and
Bruce D. Lowe On the construction of a potential from
Cauchy data . . . . . . . . . . . . . . 323--333
Yanping Lin and
R. J. Tait Finite-difference approximations for a
class of nonlocal parabolic boundary
value problems . . . . . . . . . . . . . 335--350
B. Cahlon and
I. E. Schochetman and
M. Shillor Convective cooling and optimal placement
of electronic components with variable
ambient temperature. I. The linear model 351--367
D. S. Lubinsky and
Thandwa Mthembu Mean convergence of Lagrange
interpolation for Erd\Hos weights . . . 369--390
John Michael McNamee A bibliography on roots of polynomials 391--394
D. J. Jones Use of a shooting method to compute
eigenvalues of fourth-order two-point
boundary value problems . . . . . . . . 395--400
Anonymous Author index to volume 47 (1993) . . . . 401--402
Anonymous Newsletter on Computational and Applied
Mathematics . . . . . . . . . . . . . . N1
Anonymous Book Review: \booktitleDifference
equations and inequalities: Ravi P.
Agarwal: Marcel Dekker, Inc., New York,
1992, 777 pages, ISBN: 0-8247-8676-9 . . N2
Anonymous International Symposium on Special
Functions, Approximation, Numerical
Quadrature and Orthogonal Polynomials N2--N3
Anonymous Benin conference on scientific computing N3--N4
Anonymous BETECH 94: 9th International conference
on Boundary Element Technology . . . . . N4
Anonymous IMACS Workshop on Turbulence . . . . . . N4
Anonymous CEEDE '94: The International Conference
on Concurrent Engineering and Electronic
Design Automation . . . . . . . . . . . N5
Anonymous IFIP WG10.3 Working Conference on
Programming Environments for Massively
Parallel Distributed Systems . . . . . . N5
Anonymous Spectral multi-domain methods workshop N6
Anonymous The Third International Conference on
Mathematical Methods in Computer Aided
Geometric Design . . . . . . . . . . . . N6--N7
Anonymous Massively Parallel Processing
Applications and Development . . . . . . N7--N8
Anonymous 14th IMACS World Congress on Computation
and Applied Mathematics . . . . . . . . N8
Anonymous 16th Boundary Element International
Conference . . . . . . . . . . . . . . . N8--N9
Anonymous Sixth International Conference on
Fibonacci Numbers and Their Applications N9
Anonymous International Conference on
Computational Methods in Water Resources N10
Anonymous APL 94 --- The Language and its
Applications . . . . . . . . . . . . . . N11
Anonymous Department of Computer Science . . . . . N12
Anonymous Institutional reports and doctoral
theses: Institut für Angewandte
Mathematik: Der Universität Bonn
Sonderforschungsbereich 256, Wegelerstr.
6, D-5300 Bonn 1 . . . . . . . . . . . . N12--N13
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Jesús S. Dehesa Preface . . . . . . . . . . . . . . . . 1--1
Richard Askey Problems which interest and/or annoy me 3--15
Daniel Bessis and
Giorgio Mantica Orthogonal polynomials associated to
almost periodic Schrödinger operators. A
trend towards random orthogonal
polynomials . . . . . . . . . . . . . . 17--32
B. M. Brown and
W. D. Evans and
L. L. Littlejohn Orthogonal polynomials and extensions of
Copson's inequality . . . . . . . . . . 33--48
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Moment problems and orthogonal functions 49--68
W. N. Everitt and
L. L. Littlejohn and
S. C. Williams Orthogonal polynomials and approximation
in Sobolev spaces . . . . . . . . . . . 69--90
Tom H. Koornwinder On Zeilberger's algorithm and its
$q$-analogue . . . . . . . . . . . . . . 91--111
F. Marcellán and
M. Alfaro and
M. L. Rezola Orthogonal polynomials on Sobolev
spaces: old and new directions . . . . . 113--131
P. Maroni Variations around classical orthogonal
polynomials. Connected problems . . . . 133--155
A. Moussiaux CONVODE: a reduce package for solving
differential equations . . . . . . . . . 157--165
Martin E. Muldoon Properties of zeros of orthogonal
polynomials and related functions . . . 167--186
Franz Peherstorfer Orthogonal and extremal polynomials on
several intervals . . . . . . . . . . . 187--205
Walter Van Assche Christoffel functions and Turán
determinants on several intervals . . . 207--223
Walter Van Assche Open problems . . . . . . . . . . . . . 225--243
Anonymous List of talks presented at the symposium 245--247
Anonymous List of participants . . . . . . . . . . 248--252
Ivan T. Dimov and
Ognyan I. Tonev Monte Carlo algorithms: performance
analysis for some computer architectures 253--277
Lawrence F. Shampine Ill-conditioned matrices and the
integration of stiff ODEs . . . . . . . 279--292
Dimitrios Noutsos Optimal stretched parameters for the SOR
iterative method . . . . . . . . . . . . 293--308
Ronald Cools and
Philip Rabinowitz Monomial cubature rules since
``Stroud'': a compilation . . . . . . . 309--326
H. A. van der Vorst and
C. Vuik The superlinear convergence behaviour of
GMRES . . . . . . . . . . . . . . . . . 327--341
Anonymous Author index to volume 48 (1993) . . . . 343--343
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Herman Bavinck and
Gerard Hooghiemstra and
Ellen De Waard An application of Gegenbauer polynomials
in queueing theory . . . . . . . . . . . 1--10
S. Belmehdi On Appell--Laguerre polynomials . . . . 11--17
J. Bustamante and
G. López Lagomasino Rate of convergence of Hermite--Padé
approximants to a Nikishin-type system
of analytic functions . . . . . . . . . 19--25
Marcel G. De Bruin A tool for locating zeros of orthogonal
polynomials in Sobolev inner product
spaces . . . . . . . . . . . . . . . . . 27--35
M. G. De Bruin and
K. A. Driver and
D. S. Lubinsky Convergence of simultaneous Hermite--Padé
approximants to the $n$-tuple of
$q$-hypergeometric series $ \{_2 \Phi_0
((A, \alpha_j), (1, 1); z) \}_j^n = 1$ 37--43
L. De Michele and
M. Di Natale and
D. Roux Féjer kernels and noisy Fourier series 45--50
W. D. Evans and
W. N. Everitt and
K. H. Kwon and
L. L. Littlejohn Real orthogonalizing weights for Bessel
polynomials . . . . . . . . . . . . . . 51--57
Klaus-Jürgen Förster Inequalities for ultraspherical
polynomials and application to
quadrature . . . . . . . . . . . . . . . 59--70
M. Frontini and
L. Gotusso A regularization method for discrete
Fourier polynomials . . . . . . . . . . 71--78
J. Gilewicz and
A. P. Magnus Inverse Stieltjes iterates and errors of
Padé approximants in the whole complex
plane . . . . . . . . . . . . . . . . . 79--84
P. González-Vera and
S. González-Pinto and
J. C. Santos-León A note on certain generalizations of the
midpoint rule . . . . . . . . . . . . . 85--91
JoséJ. Guadalupe and
Mario Pérez and
Francisco J. Ruiz and
Juan L. Varona Endpoint weak boundedness of some
polynomial expansions . . . . . . . . . 93--102
E. K. Ifantis and
P. D. Siafarikas On the zeros of a class of polynomials
including the generalized Bessel
polynomials . . . . . . . . . . . . . . 103--109
Roelof Koekoek The search for differential equations
for certain sets of orthogonal
polynomials . . . . . . . . . . . . . . 111--119
Sergei V. Lapin Identification of time-varying nonlinear
systems using Chebyshev polynomials . . 121--126
Jean Letessier On co-recursive associated Laguerre
polynomials . . . . . . . . . . . . . . 127--136
Stanis\law Lewanowicz Results on the associated Jacobi and
Gegenbauer polynomials . . . . . . . . . 137--143
J. Llovet and
R. Martínez and
J. A. Jaén Linear recurring sequences for computing
the resultant of multivariate
polynomials . . . . . . . . . . . . . . 145--152
F. Marcellán and
A. Branquinho and
J. Petronilho On inverse problems for orthogonal
polynomials, $I$ . . . . . . . . . . . . 153--160
Francisco Marcellán and
Gabriela Sansigre Orthogonal polynomials and cubic
transformations . . . . . . . . . . . . 161--168
J. C. Mason Chebyshev polynomials of the second,
third and fourth kinds in approximation,
indefinite integration, and integral
transforms . . . . . . . . . . . . . . . 169--178
H. G. Meijer On real and complex zeros of orthogonal
polynomials in a discrete Sobolev space 179--191
Gradimir V. Milovanovi\'c On polynomials orthogonal on the
semicircle and applications . . . . . . 193--199
E. I. Moiseev and
A. P. Prudnikov On a complete orthonormal system of
special functions . . . . . . . . . . . 201--206
M. Morandi Cecchi and
M. Redivo Zaglia Computing the coefficients of a
recurrence formula for numerical
integration by moments and modified
moments . . . . . . . . . . . . . . . . 207--216
Francisco-Javier Muñoz Delgado and
Victoriano Ramírez González Orthogonal polynomials and conservative
approximation . . . . . . . . . . . . . 217--223
Teresa E. Pérez and
Miguel A. Piñar Global properties of zeros for
Sobolev-type orthogonal polynomials . . 225--232
Paul Sablonni\`ere Discrete Bernstein bases and Hahn
polynomials . . . . . . . . . . . . . . 233--241
Asmus L. Schmidt Generalized $q$-Legendre polynomials . . 243--249
S. Yu. Slavyanov A ``differential'' derivation of the
recurrence relations for the classical
orthogonal polynomials . . . . . . . . . 251--254
Franciszek Hugon Szafraniec A (little) step towards orthogonality of
analytic polynomials . . . . . . . . . . 255--261
E. Torrano and
R. Guadalupe On the moment problem in the bounded
case . . . . . . . . . . . . . . . . . . 263--269
Khalifa Trim\`eche The Radon transform and its dual
associated with partial differential
operators and applications to
polynomials on the unit disk . . . . . . 271--280
Galliano Valent Orthogonal polynomials for a quartic
birth and death process . . . . . . . . 281--288
Erik A. Van Doorn and
Pauline Schrijner Random walk polynomials and random walk
measures . . . . . . . . . . . . . . . . 289--296
Jeannette Van Iseghem Generating function, recurrence
relations, differential relations . . . 299--303
Dieter Van Melkebeek and
Adhemar Bultheel Block orthogonal systems for symmetric
$P$-forms . . . . . . . . . . . . . . . 305--315
H. Van Rossum Polynomial sequences with prescribed
power sums of zeros . . . . . . . . . . 317--327
Ezio Venturino An unconventional algorithm for singular
integral equations . . . . . . . . . . . 329--337
Michael Voit A formula of Hilb's type for orthogonal
polynomials . . . . . . . . . . . . . . 339--348
A. Zarzo and
A. Ronveaux and
E. Godoy Fourt-order differential equation
satisfied by the associated of any order
of all classical orthogonal polynomials.
A study of their distribution of zeros 349--359
Anonymous Author index to volume 49 (1993) . . . . 361--362
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Editorial . . . . . . . . . . . . . . . 1--3
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Preface . . . . . . . . . . . . . . . . 5--6
Giovanni Monegato Numerical evaluation of hypersingular
integrals . . . . . . . . . . . . . . . 9--31
N. Papamichael and
N. S. Stylianopoulos On the theory and application of a
domain decomposition method for
computing conformal modules . . . . . . 33--50
M. Vanmaele and
A. Zenísek External finite-element approximations
of eigenfunctions in the case of
multiple eigenvalues . . . . . . . . . . 51--66
R. Verfürth A posteriori error estimation and
adaptive mesh-refinement techniques . . 67--83
Mina B. Abd-el-Malek Flow in a waterfall with large Froude
number . . . . . . . . . . . . . . . . . 87--98
L. Atanassova On the simultaneous determination of the
zeros of an analytic function inside a
simple smooth closed contour in the
complex plane . . . . . . . . . . . . . 99--107
Thomas Beck Automatic differentiation of iterative
processes . . . . . . . . . . . . . . . 109--118
Thomas Beck and
Herbert Fischer The if-problem in automatic
differentiation . . . . . . . . . . . . 119--131
M. Bernadou $C$ $^1$-curved finite elements and
applications to plate and shell problems 133--144
P. Bocher and
H. De Meyer and
G. Vanden Berghe On Gregory- and modified Gregory-type
corrections to Newton--Cotes quadrature 145--158
Adhemar Bultheel and
Erik Hendriksen and
Pablo González-Vera and
Olav Njåstad Quadrature formulas on the unit circle
based on rational functions . . . . . . 159--170
Ricolindo Cariño and
Ian Robinson and
Elise De Doncker Adaptive cubature over a collection of
triangles using the $d$-transformation 171--183
Giuliana Criscuolo Lagrange interpolation with constraints 185--196
J. S. Dehesa and
A. Zarzo and
R. J. Yañez and
B. Germano and
P. E. Ricci Orthogonal polynomials and differential
equations in neutron-transport and
radiative-transfer theories . . . . . . 197--206
Thomas Dehn A shortcut to asymptotics for orthogonal
polynomials . . . . . . . . . . . . . . 207--219
T. J. Dekker and
W. Hoffmann and
K. Potma Parallel algorithms for solving large
linear systems . . . . . . . . . . . . . 221--232
Biancamaria Della Vecchia and
Giuseppe Mastroianni and
Péter Vértesi Simultaneous approximation by Hermite
interpolation of higher order . . . . . 233--240
Erick Dick and
Kris Riemslagh Multi-staging of Jacobi relaxation to
improved smoothing properties of
multigrid methods for steady Euler
equations . . . . . . . . . . . . . . . 241--254
Vladimir Druskin and
Leonid Knizhnerman On application of the Lanczos method to
solution of some partial differential
equations . . . . . . . . . . . . . . . 255--262
Ulf Ehrenmark On computing uniformly valid
approximations for viscous waves on a
plane beach . . . . . . . . . . . . . . 263--281
S. W. Ellacott Techniques for the mathematical analysis
of neural networks . . . . . . . . . . . 283--297
Riccardo Fazio Numerical transformation methods: a
constructive approach . . . . . . . . . 299--303
J. A. Ford and
I. A. Moghrabi Multi-step quasi-Newton methods for
optimization . . . . . . . . . . . . . . 305--323
Pablo González-Vera and
Ramón Orive Optimization of two-point Padé-type
approximants . . . . . . . . . . . . . . 325--337
W. Govaerts Solution of bordered singular systems in
numerical continuation and bifurcation 339--347
Peter Köhler Intermediate error estimates . . . . . . 349--360
Wilfried B. Krätzig and
Jian-Wu Zhang A simple four-node quadrilateral finite
element for plates . . . . . . . . . . . 361--373
L. J. Lardy The projection Kantorovich method for
eigenvalue problems . . . . . . . . . . 375--384
Pedro M. Lima Richardson extrapolation in boundary
value problems for differential
equations with nonregular right-hand
side . . . . . . . . . . . . . . . . . . 385--400
Mitsuhiro T. Nakao and
Yoshitaka Watanabe On computational proofs of the existence
of solutions to nonlinear parabolic
problems . . . . . . . . . . . . . . . . 401--410
Jirí Nedoma Finite-element analysis of contact
problems in thermoelasticity. The
semi-coercive case . . . . . . . . . . . 411--423
E. Noldus and
M. Loccufier An application of Liapunov's method for
the analysis of neural networks . . . . 425--432
Luc Paquet Precise evaluation of a polynomial at a
point given in staggered correction
format . . . . . . . . . . . . . . . . . 433--454
John D. Pryce Classical and vector Sturm--Liouville
problems: recent advances in
singular-point analysis and
shooting-type algorithms . . . . . . . . 455--470
K. Ruotsalainen On the convergence of the collocation
method for nonlinear boundary integral
equations . . . . . . . . . . . . . . . 471--483
J. Saranen and
L. Schroderus The modified quadrature method for
classical pseudodifferential equations
of negative order on smooth closed
curves . . . . . . . . . . . . . . . . . 485--495
Terenzio Scapolla A third-order mixed finite-element
method for the numerical solution of the
biharmonic problem . . . . . . . . . . . 497--507
Hartmut Schwandt An interval arithmetic domain
decomposition method for a class of
elliptic PDEs on nonrectangular domains 509--521
B. Simeon and
F. Grupp and
C. Führer and
P. Rentrop A nonlinear truck model and its
treatment as a multibody system . . . . 523--532
B. J. Stoyanov and
R. A. Farrell and
J. F. Bird Asymptotic expansions of integrals of
two Bessel functions via the generalized
hypergeometric and Meijer functions . . 533--543
Marc Van Barel and
Adhemar Bultheel Discrete linearized least-squares
rational approximation on the unit
circle . . . . . . . . . . . . . . . . . 545--563
C. A. M. Van Berkel and
S. J. L. Van Eijndhoven Convolution integral equations with
Gegenbauer function kernel . . . . . . . 565--574
Jan Verschelde and
Ronald Cools Symmetric homotopy construction . . . . 575--592
Junping Wang New convergence estimates for multilevel
algorithms for finite-element
approximations . . . . . . . . . . . . . 593--604
M. A. Wolfe An interval algorithm for constrained
global optimization . . . . . . . . . . 605--612
A. Zarzo and
J. S. Dehesa Spectral properties of solutions of
hypergeometric-type differential
equations . . . . . . . . . . . . . . . 613--623
Anonymous List of papers presented at the congress 625--630
Anonymous Author index to volume 50 (1994) . . . . 631--632
Anonymous Master index to volumes 41--50 . . . . . 633--652
A. Bultheel Book Review: \booktitleOeuvres
compl\`etes; collected papers, volumes 1
& 2, T. J. Stieltjes: G. van Dijk (ed.),
Springer Verlag, 1993, 566 + 766 pages,
Price: DM 348 (HC), ISBN 3-540-55560-9 N2
A. Bultheel Book Review: \booktitleNumerical linear
algebra: L. Reichel, A. Ruttan, R. S.
Varga (Eds.): W. de Gruyter and Co.,
Berlin, 1993, vii + 199 pages, Price: DM
168, ISBN 3-11-013784-4 . . . . . . . . N2--N3
D. R. Emerson Book Review: \booktitleIncompressible
computational fluid dynamics: trends and
advances: M. D. Gunzbuger and R. A.
Nicolaides: Cambridge University Press,
The Edinburgh Building, Cambridge CB2
2RU, England, Price: 35 Euros (HB), ISBN
0-521-40407-X . . . . . . . . . . . . . N3
D. R. Emerson Book Review: \booktitleNumerical
simulation of $3$-D incompressible
unsteady viscous laminar flow numerical
methods in fluid mechanics, volume 36 M.
Deville, T.-H. Le and Y. Morchoisne:
Vieweg, Friedr. Vieweg & Sohn,
Verlagsgesellschaft mbH, Braunschweig,
Weisbaden, Germany, ISBN 3-528-07636-4 N3--N4
P. Dierckx Book Review: \booktitleBox splines C. de
Boor, K. Höllig, S. Riemenschneider:
Applied Mathematical Sciences, vol. 98
Springer-Verlag, Berlin, 1993, xvii +
200 pages, 57 figs. Price: DM 60 (HC)
ISBN 3-540-94101-0 . . . . . . . . . . . N4--N5
Anonymous Announcements of conferences . . . . . . N5--N19
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N19--N21
Anonymous Editorial board . . . . . . . . . . . . ii--iii
Gradimir V. Milovanovi\'c and
Predrag M. Rajkovi\'c On polynomials orthogonal on a circular
arc . . . . . . . . . . . . . . . . . . 1--13
Mikhail Naguib Mikhail and
Mostafa R. El-Tantawy The acoustic boundary layers: a detailed
analysis . . . . . . . . . . . . . . . . 15--36
Wolfgang Dahmen and
Peter Oswald and
Xi-Quan Shi $C$ $^1$-hierarchical bases . . . . . . 37--56
Harald Niederreiter and
Ian H. Sloan Integration of nonperiodic functions of
two variables by Fibonacci lattice rules 57--70
Takemitsu Hasegawa and
Tatsuo Torii Hilbert and Hadamard transforms by
generalized Chebyshev expansion . . . . 71--83
Paul Levrie Some identities of $G$-continued
fractions and generalized continued
fractions . . . . . . . . . . . . . . . 85--97
B. Jumarhon and
S. McKee and
T. Tang The proof of an inequality arising in a
reaction--diffusion study in a small
cell . . . . . . . . . . . . . . . . . . 99--101
I. K. Argyros and
Dong Chen and
Qingshan Qian The Jarratt method in Banach space
setting . . . . . . . . . . . . . . . . 103--106
Bo Han and
Dali Zhang and
Jiaqi Liu A new class of methods for solving
nonlinear equations . . . . . . . . . . 107--111
K. S. Kölbig The complete Bell polynomials for
certain arguments in terms of Stirling
numbers of the first kind . . . . . . . 113--116
Nguyen huu Cong Parallel iteration of symmetric
Runge--Kutta methods for nonstiff
initial-value problems . . . . . . . . . 117--125
Dimitar K. Dimitrov and
George M. Philipps A note on convergence of Newton
interpolating polynomials . . . . . . . 127--130
Naoki Osada An optimal multiple root-finding method
of order three . . . . . . . . . . . . . 131--133
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N18
E. Görlich and
C. Markett and
O. Stüpp Integral formulas associated with
products of Bessel functions: a new
partial differential equation approach 135--157
P. L. Butzer and
G. Schöttler Sampling theorems associated with
fourth- and higher-order self-adjoint
eigenvalue problems . . . . . . . . . . 159--177
T. Hartmann and
E. P. Stephan Rates of convergence for collocation
with Jacobi polynomials for the airfoil
equation . . . . . . . . . . . . . . . . 179--191
Dang Quang A. Approximate method for solving an
elliptic problem with discontinuous
coefficients . . . . . . . . . . . . . . 193--203
P. R. Graves-Morris and
D. E. Roberts From matrix to vector Padé approximants 205--236
Leo R. M. Maas On the surface area of an ellipsoid and
related integrals of elliptic integrals 237--249
Ronald Cools and
Ann Haegemans An imbedded family of cubature formulae
for $n$-dimensional product regions . . 251--260
Anonymous Appendix . . . . . . . . . . . . . . . . 261--262
A. Sri Ranga and
Marisa Veiga A Chebyshev-type quadrature rule with
some interesting properties . . . . . . 263--265
Tang Shuo and
Zhu Gongqin On the acceleration convergence of limit
periodic continued fractions by the $
T_{+ m} $ transformation . . . . . . . . 267--274
Andreas Karageorghis A conforming spectral technique for
biharmonic-type problems in rectangular
domains . . . . . . . . . . . . . . . . 275--278
Ewaryst Rafajlowicz Fast algorithm for generating
Bernstein--Bézier polynomials . . . . . . 279--292
S. Carl and
C. Grossmann Boundary value problems with
discontinuities and monotone
discretization . . . . . . . . . . . . . 293--303
Bui Doan Khanh Hermite predictor--corrector scheme for
regular Volterra integral equations and
for some integro-differential equations
of turbulent diffusion . . . . . . . . . 305--316
T. E. Simos and
E. Dimas and
A. B. Sideridis A Runge--Kutta--Nyström method for the
numerical integration of special
second-order periodic initial-value
problems . . . . . . . . . . . . . . . . 317--326
Adel F. Saadallah A quasi-Newton method using a
nonquadratic model . . . . . . . . . . . 327--338
Han Guoqiang and
Zhang Liqing Asymptotic expansion for the trapezoidal
Nyström method of linear
Volterra--Fredholm equations . . . . . . 339--348
A. A. B. Klein and
G. Mélard The information matrix of multiple-input
single-output time series models . . . . 349--356
Sarwat N. Hanna Influence of surface tension on
free-surface flow over a polygonal and
curved obstruction . . . . . . . . . . . 357--374
Daniel I. Okunbor and
Robert D. Skeel Canonical Runge--Kutta--Nyström methods
of orders five and six . . . . . . . . . 375--382
M. Van Daele and
G. Vanden Berghe and
H. De Meyer A smooth approximation for the solution
of a fourth-order boundary value problem
based on nonpolynomial splines . . . . . 383--394
A. H. Bentbib Acceleration of convergence of interval
sequences . . . . . . . . . . . . . . . 395--409
Dimitar K. Dimitrov and
George M. Phillips A note on convergence of Newton
interpolating polynomials J. Comput.
Appl. Math. \bf 51 (1) (1994) 127--130 411--411
Anonymous Author index to volume 51 (1994) . . . . 413--414
Anonymous Editorial Board . . . . . . . . . . . . iv--v
Alan Lazer and
Joe McKenna Preface . . . . . . . . . . . . . . . . 1--2
A. R. Aftabizadeh and
N. H. Pavel and
Y. K. Huang Anti-periodic oscillations of some
second-order differential equations and
optimal control problems . . . . . . . . 3--21
Y. S. Choi and
Hyeyoung Oh Her and
P. J. McKenna Galloping: nonlinear oscillation in a
periodically forced loaded hanging cable 23--34
Brian A. Coomes and
Hüseyin Koçak and
Kenneth J. Palmer Shadowing orbits of ordinary
differential equations . . . . . . . . . 35--43
C. De Coster and
M. Willem Density, spectral theory and homoclinics
for singular Sturm--Liouville systems 45--70
J. M. Cushing Oscillations in age-structured
population models with an Allee effect 71--80
E. N. Dancer and
P. Hess The symmetry of positive solutions of
periodic-parabolic problems . . . . . . 81--89
Y. Feng The study of nonlinear flexings in a
floating beam by variational methods . . 91--112
Alessandro Fonda and
Zdenek Schneider and
Fabio Zanolin Periodic oscillations for a nonlinear
suspension bridge model . . . . . . . . 113--140
Steve Pelikan Hopf bifurcations via zero sets . . . . 141--145
Paul H. Rabinowitz A note on periodic solutions of
prescribed energy for singular
Hamiltonian systems . . . . . . . . . . 147--154
Dieter Schmidt Versal normal form of the Hamiltonian
function of the restricted problem of
three bodies near $L$ $_4$ . . . . . . . 155--176
H. I. Freedman and
Joseph W.-H So and
Jianhong Wu A model for the growth of a population
exhibiting stage structure: cannibalism
and cooperation . . . . . . . . . . . . 177--198
Feiyue He and
Anthony Leung and
Srdjan Stojanovic Periodic optimal control for competing
parabolic Volterra--Lotka-type systems 199--217
Marta García-Huidobro and
Raúl Manásevich and
Fabio Zanolin On a pseudo Fucik spectrum for strongly
nonlinear second-order ODEs and an
existence result . . . . . . . . . . . . 219--239
Daniela Jacover and
P. J. McKenna Nonlinear torsional flexings in a
periodically forced suspended beam . . . 241--265
Philip Korman On the dynamics of two classes of
periodic ecological models . . . . . . . 267--275
V. Lakshmikantham and
Nikolaos S. Papageorgiou Periodic solutions of nonlinear
evolution inclusions . . . . . . . . . . 277--286
Alan C. Lazer and
P. J. McKenna Nonlinear periodic flexing in a floating
beam . . . . . . . . . . . . . . . . . . 287--303
Yoon-Mee Lee and
Renate Schaaf and
Russell C. Thompson A Hopf bifurcation in a parabolic free
boundary problem . . . . . . . . . . . . 305--324
D. Lupo and
A. M. Micheletti Multiple solutions of Hamiltonian
systems via limit relative category . . 325--335
Kenneth R. Meyer Comet like periodic orbits in the
$N$-body problem . . . . . . . . . . . . 337--351
Anonymous Author index to volume 52 (1994) . . . . 353--354
Anonymous Book Review: \booktitleThe visual mind:
Art and mathematics: Michele Emmer
(ed.): M.I.T. Press, Fitzroy House, 11,
Chenies Street, London WC1E 7ET, ISBN
0-262-05048-X, Cost 35.95 Pounds
Sterling . . . . . . . . . . . . . . . . N2
Anonymous Book Review: \booktitleFrom logic to
logic programming, Kees Doets:
Foundations of Computing Series, The MIT
Press, ISBN 0-262-04142-1, xii + 214
pages, Price: \$43.95 / \pounds 29.95} N2--N3
Anonymous Book Review: \booktitleParallel
supercomputing in MIMD architectures R.
Michael Hord (ed.): Times Mirror
International Publishers Ltd., c/o Excel
Logistics, 3 Sheldon Way, Larkfield,
Aylesford, Kent, ME20 6SF, England, ISBN
0-8493-4417-4, Price 61,00 Pounds
Sterling . . . . . . . . . . . . . . . . N3
Anonymous Book Review: \booktitleNeural networks
for pattern recognition: Albert Nigrin:
M.I.T. Press, Fitzroy House, 11, Chenies
Street, London WC1E 7ET, ISBN
0-262-14054-3, Cost 40.50 Pounds
Sterling . . . . . . . . . . . . . . . . N3--N4
Anonymous Conferences . . . . . . . . . . . . . . N4--N16
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N16--N17
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
George Anastassiou and
X. M. Yu Bivariate constrained wavelet
approximation . . . . . . . . . . . . . 1--9
S. P. Zhou Rational approximation rate for the Müntz
system $ \{ x^\lambda_n \} $ with $
\lambda_n \searrow 0 $ . . . . . . . . . 11--19
Heinz H. Gonska and
Xin-long Zhou Approximation theorems for the iterated
Boolean sums of Bernstein operators . . 21--31
Dan Butnariu and
Yair Censor Strong convergence of almost
simultaneous block-iterative projection
methods in Hilbert spaces . . . . . . . 33--42
Hans-Görg Roos Ten ways to generate the Il'in and
related schemes . . . . . . . . . . . . 43--59
Hermann Brunner Collocation and continuous implicit
Runge--Kutta methods for a class of
delay Volterra integral equations . . . 61--72
Wen Zhang The starting procedure in
variable-stepsize variable-order PECE
codes . . . . . . . . . . . . . . . . . 73--86
Rembert Reemtsen Some outer approximation methods for
semi-infinite optimization problems . . 87--108
Allan J. MacLeod Computation of inhomogeneous Airy
functions . . . . . . . . . . . . . . . 109--116
Peter Monk On the $p$- and $ h p$-extension of
Nédélec's curl-conforming elements . . . . 117--137
Mathias Lemke A special operator method for solving
differential equations . . . . . . . . . 139--161
David R. Willé and
Christopher T. H. Baker Stepsize control and continuity
consistency for state-dependent
delay-differential equations . . . . . . 163--170
João B. Prolla The Weierstrass--Stone theorem for
convex-cone-valued functions . . . . . . 171--183
Robert G. Owens and
Timothy N. Phillips Mass- and momentum-conserving spectral
methods for Stokes flow . . . . . . . . 185--206
Zhangxin Chen BDM mixed methods for a nonlinear
elliptic problem . . . . . . . . . . . . 207--223
Edward Neuman and
Patrick J. Van Fleet Moments of Dirichlet splines and their
applications to hypergeometric functions 225--241
G. Louchard and
R. Schott and
M. Tolley and
P. Zimmermann Random walks, heat equation and
distributed algorithms . . . . . . . . . 243--274
P. M. C. Thoolen and
P. W. Hemker Approximate methods for $n$-component
solute transport and ion-exchange . . . 275--290
Jianzhong Zhang and
Detong Zhu A projective quasi-Newton method for
nonlinear optimization . . . . . . . . . 291--307
Isaac Kornfeld Nonexistence of universally accelerating
linear summability methods . . . . . . . 309--321
Rudolf Scitovski A special nonlinear least-squares
problem . . . . . . . . . . . . . . . . 323--331
Biancamaria Della Vecchia and
Giuseppe Mastroianni Rational approximation in uniform and
weighted $L$ $^1$ norm . . . . . . . . . 333--339
Mark J. Schaefer Precise optimization using range
arithmetic . . . . . . . . . . . . . . . 341--351
K. Amano A charge simulation method for the
numerical conformal mapping of interior,
exterior and doubly-connected domains 353--370
Jürgen Eichenauer-Herrmann On the discrepancy of quadratic
congruential pseudorandom numbers with
power of two modulus . . . . . . . . . . 371--376
L. H. Erbe and
Qingkai Kong Boundary value problems for singular
second-order functional differential
equations . . . . . . . . . . . . . . . 377--388
G. Vanden Berghe and
H. De Meyer A finite-element estimate with
trigonometric hat functions for
Sturm--Liouville eigenvalues . . . . . . 389--396
Anonymous Author index to volume 53 (1994) . . . . 397--398
Anonymous Editorial Board . . . . . . . . . . . . iv--v
Dieter Schott About geometrical convergence of general
iterative methods applied to nonunique
solvable convex problems, Part $I$ . . . 1--14
Sòren Christiansen and
Per Christian Hansen The effective condition number applied
to error analysis of certain boundary
collocation methods . . . . . . . . . . 15--36
Magdy A. Ezzat Power-law fluid flow of a hydromagnetic
free jet . . . . . . . . . . . . . . . . 37--43
George A. Baker, Jr. and
P. R. Graves-Morris Existence of certain sequences of
Hermite--Padé approximants . . . . . . . 45--49
Davis K. Cope Characterization of first-order
convergent sequences . . . . . . . . . . 51--63
A. T. Chronopoulos On the squared unsymmetric Lanczos
method . . . . . . . . . . . . . . . . . 65--78
R. K. S. Rathore Total error in the discrete convolution
backprojection algorithm in computerized
tomography . . . . . . . . . . . . . . . 79--97
M. A. Shalaby A parallel processed scheme for the
eigenproblem of positive definite
matrices . . . . . . . . . . . . . . . . 99--106
D. J. Walton and
D. S. Meek Approximation of quadratic Bézier curves
by arc splines . . . . . . . . . . . . . 107--120
Nguyen huu Cong A parallel DIRK method for stiff
initial-value problems . . . . . . . . . 121--127
K. S. Kölbig On three trigonometric integrals of $
\ln \Gamma (x) $ or its derivative . . . 129--131
Dieter Schott About geometrical convergence of general
iterative methods applied to nonunique
solvable convex problems, Part II . . . 133--150
Miguel Marano and
Robert Huotari The Pólya algorithm on tubular sets . . . 151--157
Ralf Hamböker Convergence rates for stopped random
sums . . . . . . . . . . . . . . . . . . 159--184
Jens Hugger An asymptotically exact, pointwise, a
posteriori error estimator for linear,
elliptic, one-dimensional problems with
possible singularities in the solution 185--220
Peter Singer An integrated fractional Fourier
transform . . . . . . . . . . . . . . . 221--237
Manuela Nees Approximative versions of Kolmogorov's
superposition theorem, proved
constructively . . . . . . . . . . . . . 239--250
Takashi Ohe and
Kohzaburo Ohnaka Determination of locations of point-like
masses in an inverse source problem of
the Poisson equation . . . . . . . . . . 251--261
Yang Chen and
Mourad E. H. Ismail and
K. A. Muttalib Asymptotics of basic Bessel functions
and $q$-Laguerre polynomials . . . . . . 263--272
Dominique Lambert and
André Ronveaux Hurwitz problem, harmonic morphisms and
generalized Hadamard matrices . . . . . 273--283
Tianzi Jiang Asymptotic expansion for the
approximation of the Lipschitz function
by the Hermite-Fejer interpolation
polynomial . . . . . . . . . . . . . . . 285--296
Peter Zitnan The Rayleigh--Ritz method still
competitive . . . . . . . . . . . . . . 297--306
H. Attia Hussein An explicit solution of third-order
difference equations . . . . . . . . . . 307--311
Matthew He The Faber polynomials for $m$-fold
symmetric domains . . . . . . . . . . . 313--324
W. N. Everitt and
C. Markett On a generalization of Bessel functions
satisfying higher-order differential
equations . . . . . . . . . . . . . . . 325--349
Omar ElMennaoui Asymptotic behaviour of integrated
semigroups . . . . . . . . . . . . . . . 351--369
K. Pan On the convergence of the rational
interpolation approximant of Carathéodory
functions . . . . . . . . . . . . . . . 371--376
Robert C. Busby and
Wyman Fair Quadratic operator equations and
periodic operator continued fractions 377--387
Anonymous Author index to volume 54 (1994) . . . . 389--390
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
J. Verschelde Book Review: \booktitleHandbook of
convex geometry: P. M. Gruber and J. M.
Wills (eds.), Convex Sets and Related
Geometric Topics Geometry Volume A,
1993, 816 pages, Price: Dfl. 295.00 (US
\$168.50), ISBN 0-444-89596-5 Hardbound
Volume B, 1993, 780 pages, Price: Dfl.
285.00 (US \$162.75), ISBN 0-444-89597-5
Hardbound Two-Volume Set, Price: Dfl.
540.00 (US\$308.50), ISBN 0-444-89598-1,
North-Holland, Elsevier Science
Publishers} . . . . . . . . . . . . . . N2--N3
A. Bultheel Book Review: \booktitlePolynomial and
matrix computations. volume 1:
Fundamental algorithm: Dario Bini and
Victor Pan Progress in Theoretical
Computer Science, Birkhäuser, 1994, xvi +
415 pages . . . . . . . . . . . . . . . N3--N4
D. R. Emerson Book Review: \booktitleThe high
performance Fortran handbook, Scientific
and engineering computation series:
Charles H. Koelbel, David B. Loveman,
Robert S. Schreiber, Guy L. Steele Jr.
and Mary E. Zosel, M.I.T. Press, Fitzroy
House, 11, Chenies Street, London WC1E
7ET, England, ISBN 0-262-61094-9,
January 1994, Price: \$24.95
(Paperback)} . . . . . . . . . . . . . . N4
D. R. Emerson Book Review: \booktitleThe finite
element method: Basic concepts and
applications: Darrell W. Pepper and Juan
C. Heinrich Taylor and Francis Ltd., 4
John Street, London WC1N 2ET, ISBN
1-56032-104-0 . . . . . . . . . . . . . N4--N5
D. R. Emerson Book Review: \booktitleTheory and
numerical modeling of turbulent
gas-particle flows and combustion: Zhou
Lixing, Times Mirror International
Publishers Ltd., c/o Excel Logistics,, 3
Sheldon Way, Larkfield, Aylesford, Kent
ME20 6SF, England, ISBN 0-8493-7721-8 N5
D. R. Emerson Book Review: \booktitleExploring
interior-point linear programming:
Algorithms and software: Ami Arbel,
M.I.T. Press, Fitzroy House, 11, Chenies
Street, London WC1E 7ET, ISBN
0-262-51073-1 . . . . . . . . . . . . . N5--N6
Anonymous Conferences . . . . . . . . . . . . . . N6--N21
Anonymous Editorial board . . . . . . . . . . . . v--vi
Kyrre Stròm On convolutions of B-splines . . . . . . 1--29
Yoshifusa Ito Differentiable approximation by means of
the Radon transformation and its
applications to neural networks . . . . 31--50
Walter Heß and
Jochen W. Schmidt Positive quartic, monotone quintic $C$
$^2$-spline interpolation in one and two
dimensions . . . . . . . . . . . . . . . 51--67
Weimin Han Computable error estimates for
linearization and numerical solution of
obstacle problems . . . . . . . . . . . 69--79
M. D. Benchiboun Linear convergence for vector sequences
and some applications . . . . . . . . . 81--97
M. Aslam Chaudhry and
S. M. Zubair Generalized incomplete gamma functions
with applications . . . . . . . . . . . 99--123
T. E. Simos An explicit four-step phase-fitted
method for the numerical integration of
second-order initial-value problems . . 125--133
Yosef Rinott On normal approximation rates for
certain sums of dependent random
variables . . . . . . . . . . . . . . . 135--143
Peter Junghanns Numerical analysis of Newton projection
methods for nonlinear singular integral
equations . . . . . . . . . . . . . . . 145--163
J. A. Cuesta-Albertos and
J. S. Domínguez-Menchero and
C. Matrán-Bea Some stochastics on monotone functions 165--182
Ferenc Szidarovszky and
Ioannis K. Argyros On the convergence of modified
contractions . . . . . . . . . . . . . . 183--189
Michel Deza and
Monique Laurent Applications of cut polyhedra --- $I$ 191--216
Michel Deza and
Monique Laurent Applications of cut polyhedra --- II . . 217--247
Michael Dellnitz and
Ian Melbourne Generic movement of eigenvalues for
equivariant self-adjoint matrices . . . 249--259
Joseph Horowitz and
Rajeeva L. Karandikar Mean rates of convergence of empirical
measures in the Wasserstein metric . . . 261--273
Igor Kossaczký A recursive approach to local mesh
refinement in two and three dimensions 275--288
Allen R. Miller and
Harold Exton Sonine--Gegenbauer-type integrals . . . 289--310
Xiaojun Chen and
Tetsuro Yamamoto Newton-like methods for solving
underdetermined nonlinear equations with
nondifferentiable terms . . . . . . . . 311--324
William Rundell and
Paul Sacks On the determination of potentials
without bound state data . . . . . . . . 325--347
Nezam Iraniparast Boundary value problems for a
two-dimensional wave equation . . . . . 349--356
Marc Prévost Acceleration of some logarithmic
sequences . . . . . . . . . . . . . . . 357--367
Fridrich Sloboda and
Josef Stoer On piecewise linear approximation of
planar Jordan curves . . . . . . . . . . 369--383
Anonymous Author index to volume 55 (1994) . . . . 385--385
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Svetlozar T. Rachev and
Werner Römisch Preface . . . . . . . . . . . . . . . . 1--1
Svetlozar T. Rachev and
Werner Römisch Editorial . . . . . . . . . . . . . . . 2--2
Rüdiger Schultz Strong convexity in stochastic programs
with complete recourse . . . . . . . . . 3--22
Karl Frauendorfer The approximation of separable
stochastic programs . . . . . . . . . . 23--44
Willem K. Klein Haneveld and
Maarten H. van der Vlerk On the expected value function of a
simple integer recourse problem with
random technology matrix . . . . . . . . 45--53
Riho Lepp Projection and discretization methods in
stochastic programming . . . . . . . . . 55--64
Silvia Vogel A stochastic approach to stability in
stochastic programming . . . . . . . . . 65--96
Vlasta Kanková A note on estimates in stochastic
programming . . . . . . . . . . . . . . 97--112
Jitka Dupacová Applications of stochastic programming
under incomplete information . . . . . . 113--125
Zvi Artstein Sensitivity with respect to the
underlying information in stochastic
programs . . . . . . . . . . . . . . . . 127--136
Diethard Klatte Stable local minimizers in semi-infinite
optimization: regularity and
second-order conditions . . . . . . . . 137--157
Harald Niederreiter On a new class of pseudorandom numbers
for simulation methods . . . . . . . . . 159--167
P. Feldman and
S. T. Rachev and
L. Rüschendorf Limit theorems for recursive algorithms 169--182
L. G. Hanin and
S. T. Rachev Mass-transshipment problems and ideal
metrics . . . . . . . . . . . . . . . . 183--196
Stanislav Uryas'ev Derivatives of probability functions and
integrals over sets given by
inequalities . . . . . . . . . . . . . . 197--223
Peter Kunkel and
Volker Mehrmann Canonical forms for linear
differential-algebraic equations with
variable coefficients . . . . . . . . . 225--251
Mohsen Razzaghi and
Gamal Elnagar Numerical solution of the controlled
Duffing oscillator by the pseudospectral
method . . . . . . . . . . . . . . . . . 253--261
Karin Willemans and
Paul Dierckx Surface fitting using convex
Powell--Sabin splines . . . . . . . . . 263--282
Ilya M. Sobol' and
Sergey G. Bakin On the crude multidimensional search . . 283--293
F. Sartoretto and
R. Spigler Computing expansion coefficients in
orthogonal bases of ultraspherical
polynomials . . . . . . . . . . . . . . 295--303
R. Lamour and
R. März and
R. M. M. Mattheij On the stability behaviour of systems
obtained by index-reduction . . . . . . 305--319
Kai Diethelm Uniform convergence of optimal order
quadrature rules for Cauchy principal
value integrals . . . . . . . . . . . . 321--329
M. A. Shalaby On the real symmetric inverse eigenvalue
problem . . . . . . . . . . . . . . . . 331--340
M. A. Abdou and
E. A. Khar-El din An infinite plate weakened by a hole
having arbitrary shape . . . . . . . . . 341--351
Anonymous Author index to volume 56 (1994) . . . . 353--353
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
C. Brezinski and
P. Maroni and
J. Van Iseghem Introduction . . . . . . . . . . . . . . 1--1
C. Baheux New implementations of Lanczos method 3--15
Herman Bavinck On polynomials orthogonal with respect
to an inner product involving
differences . . . . . . . . . . . . . . 17--27
Christian Berg and
Galliano Valent Nevanlinna extremal measures for some
orthogonal polynomials related to birth
and death processes . . . . . . . . . . 29--43
René Blacher Central limit theorem by polynomial
dependence coefficients . . . . . . . . 45--56
Adhemar Bultheel and
Pablo González-Vera and
Erik Hendriksen and
Olav Njåstad Favard theorem for reproducing kernels 57--76
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Convergence of modified approximants
associated with orthogonal rational
functions . . . . . . . . . . . . . . . 77--86
C. Campigotto and
Yu. F. Smirnov and
S. G. Enikeev $q$-analogue of the Krawtchouk and
Meixner orthogonal polynomials . . . . . 87--97
S. De Marchi and
M. Morandi Cecchi The polynomial approximation in the
finite element method . . . . . . . . . 99--114
W. N. Everitt and
L. L. Littlejohn and
R. Wellman The symmetric form of the Koekoeks'
Laguerre type differential equation . . 115--121
Roberto Floreanini and
Luc Vinet Quantum algebra approach to $q$
Gegenbauer polynomials . . . . . . . . . 123--133
Klaus-Jürgen Förster Estimates for the variance of positive
quadrature formulas . . . . . . . . . . 135--146
A. G. García and
F. Marcellán and
L. Salto A distributional study of discrete
classical orthogonal polynomials . . . . 147--162
E. K. Ifantis and
P. D. Siafarikas Perturbation of the coefficients in the
recurrence relation of a class of
polynomials . . . . . . . . . . . . . . 163--170
Arno Kuijlaars Chebyshev-type quadrature for Jacobi
weight functions . . . . . . . . . . . . 171--180
M. Kzaz Convergence acceleration of
Jacobi--Gauss quadrature formulae for
analytic functions with poles . . . . . 181--192
Hervé Le Ferrand Padé-type approximants of entire
functions and acceleration of
convergence: Two examples . . . . . . . 193--202
Jean Letessier Co-recursive associated Jacobi
polynomials . . . . . . . . . . . . . . 203--213
Alphonse P. Magnus Painlevé-type differential equations for
the recurrence coefficients of
semi-classical orthogonal polynomials 215--237
F. Marcellán and
I. A. Rocha On semiclassical linear functionals:
integral representations . . . . . . . . 239--249
P. Maroni An integral representation for the
Bessel form . . . . . . . . . . . . . . 251--260
André Ronveaux and
Martin E. Muldoon Stieltjes sums for zeros of orthogonal
polynomials . . . . . . . . . . . . . . 261--269
Gabriela Sansigre and
Galliano Valent A large family of semi-classical
polynomials: the perturbed Chebyshev . . 271--281
M. C. Suárez and
A. Cachafeiro A generalization of the associated
functional to the Lebesgue measure . . . 283--291
Galliano Valent Associated Stieltjes--Carlitz
polynomials and a generalization of
Heun's differential equation . . . . . . 293--307
Erik A. van Doorn Some new results for chain-sequence
polynomials . . . . . . . . . . . . . . 309--317
Anonymous List of participants . . . . . . . . . . 319--321
N. Jhunjhunwala Weighted Landau-type inequalities . . . 323--328
R. Brunelli and
G. P. Tecchiolli Stochastic minimization with adaptive
memory . . . . . . . . . . . . . . . . . 329--343
Carlos A. Cabrelli and
Ursula M. Molter The Kantorovich metric for probability
measures on the circle . . . . . . . . . 345--361
Changwen Liu An acceleration scheme for row
projection methods . . . . . . . . . . . 363--391
F. G. Lether Gauss--Legendre approximations for the
Hubbell rectangular-source integral . . 393--402
A. S. Deif Rigorous perturbation bounds for
eigenvalues and eigenvectors of a matrix 403--412
Jiang Zeng The $q$-Stirling numbers, continued
fractions and the $q$-Charlier and
$q$-Laguerre polynomials . . . . . . . . 413--424
Chen Fang On Wimp's vector sequence
transformations . . . . . . . . . . . . 425--447
Anonymous Author index to volume 57 (1995) . . . . 449--450
A. S. Deakin and
J. R. Dryden Numerically derived boundary conditions
on artificial boundaries . . . . . . . . 1--16
A. Extremera Damping mechanisms in the path-integral
approach to special effects in
superconductivity . . . . . . . . . . . 17--26
Yu Song and
Maria Calzada A dictionary random choice method for
turbulent combustion . . . . . . . . . . 27--42
M. E. Dyer and
W. O. Riha and
J. Walker A hybrid dynamic
programming/branch-and-bound algorithm
for the multiple-choice knapsack problem 43--54
Valery P. Voevudsky Convergence of regularized spline
approximants to solutions of initial and
boundary value problems for ODE . . . . 55--66
Ravi P. Agarwal and
Patricia J. Y. Wong Explicit error bounds for the
derivatives of piecewise-Lidstone
interpolation . . . . . . . . . . . . . 67--81
A. A. Shah A new method for eigenvalues of
nonsymmetric matrices . . . . . . . . . 83--88
J. W. Mooney A monotonicity procedure for the
accurate, efficient solution of certain
heat-transfer problems with variable
thermal properties . . . . . . . . . . . 89--101
Philippe Flajolet and
Peter J. Grabner and
Peter Kirschenhofer and
Helmut Prodinger On Ramanujan's $Q$-function . . . . . . 103--116
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Xiu Ye and
Charles A. Hall The construction of a null basis for a
discrete divergence operator . . . . . . 117--133
David R. Dellwo Accelerated degenerate-kernel methods
for linear integral equations . . . . . 135--149
Desmond J. Higham and
Ioannis Th. Famelis Equilibrium states of adaptive
algorithms for delay differential
equations . . . . . . . . . . . . . . . 151--169
Tian Hongjiong and
Kuang Jiaoxun The stability of the $ \theta $-methods
in the numerical solution of delay
differential equations with several
delay terms . . . . . . . . . . . . . . 171--181
Ismail Bin Mohd Computable error bounds for an
optimization problem with parallelepiped
constraint . . . . . . . . . . . . . . . 183--192
Qun Lin and
J. G. Rokne Methods for bounding the range of a
polynomial . . . . . . . . . . . . . . . 193--199
Farhad Ali and
D. F. Mayers Error in the upwind differencing of the
convection--diffusion equation . . . . . 201--224
Mario Pérez Riera and
Juan L. Varona Malumbres On completeness of orthogonal systems
and Dirac deltas . . . . . . . . . . . . 225--231
N. Kjurkchiev Initial approximations in
Euler--Chebyshev's method . . . . . . . 233--236
Hildegard Foerster and
Andreas Frommer and
Günter Mayer Inexact Newton methods on a vector
supercomputer . . . . . . . . . . . . . 237--253
Matthias Gelbrich Simultaneous time and chance
discretization for stochastic
differential equations . . . . . . . . . 255--289
Yves Nievergelt The condition of Steffensen's
acceleration in several variables . . . 291--305
K. Djidjeli and
W. G. Price and
E. H. Twizell and
Y. Wang Numerical methods for the solution of
the third- and fifth-order dispersive
Korteweg--de Vries equations . . . . . . 307--336
T. E. Simos A family of four-step exponentially
fitted predictor--corrector methods for
the numerical integration of the
Schrödinger equation . . . . . . . . . . 337--344
L. F. Shampine and
A. Witt A simple step size selection algorithm
for ODE codes . . . . . . . . . . . . . 345--354
David Moews Explicit Tauberian bounds for
multivariate functions . . . . . . . . . 355--361
Anonymous Author index to volume 58 (1995) . . . . 363--364
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Roger C. E. Tan and
Alan L. Andrew Henrici's transformation and its
application to the computation of
derivatives of eigensystems . . . . . . 1--8
P. D. Ariel A numerical algorithm for computing the
stagnation point flow of a second grade
fluid with/without suction . . . . . . . 9--24
Mojdeh Hajmirzaahmad Laguerre polynomial expansions . . . . . 25--37
Daoqi Yang Different domain decompositions at
different times for capturing moving
local phenomena . . . . . . . . . . . . 39--48
Han Guoqiang Asymptotic error expansion for the
Nyström method for a nonlinear
Volterra--Fredholm integral equation . . 49--59
Franz Peherstorfer and
Michael Schmuckenschläger Interlacing properties of zeros of
associated polynomials . . . . . . . . . 61--78
J. M. Franco An explicit hybrid method of Numerov
type for second-order periodic
initial-value problems . . . . . . . . . 79--90
M. B. van Gijzen A polynomial preconditioner for the
GMRES algorithm . . . . . . . . . . . . 91--107
Jirí Nedoma Equations of magnetodynamics of
incompressible thermo-Bingham's fluid
under the gravity effect . . . . . . . . 109--128
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N17
T. N. Langtry The determination of canonical forms for
lattice quadrature rules . . . . . . . . 129--143
M. Iqbal On a numerical technique regarding
inversion of the Laplace transform . . . 145--154
Carmelo Clavero and
Francisco Lisbona and
John J. H. Miller Uniform convergence of arbitrary order
on nonuniform meshes for a singularly
perturbed boundary value problem . . . . 155--171
S. Filippi and
T. Knecht Generalized Hermite multistep methods of
high order with a variable stepsize . . 173--180
Peng Long and
Wang Jinliang and
Zhu Qiding Methods with high accuracy for finite
element probability computing . . . . . 181--189
Erlend Arge and
Morten Dæhlen and
Aslak Tveito Approximation of scattered data using
smooth grid functions . . . . . . . . . 191--205
J. Gani and
S. Yakowitz Computational and stochastic methods for
interacting groups in the AIDS epidemic 207--220
D. S. Meek and
D. J. Walton Approximating smooth planar curves by
arc splines . . . . . . . . . . . . . . 221--231
Knud D. Andersen and
Edmund Christiansen Limit analysis with the dual affine
scaling algorithm . . . . . . . . . . . 233--243
F. G. Lether and
P. R. Wenston Minimax approximations to the zeros of $
P_n(x) $ and Gauss--Legendre quadrature 245--252
M. Aslam Chaudhry and
S. M. Zubair On the decomposition of generalized
incomplete gamma functions with
applications to Fourier transforms . . . 253--284
George A. Baker, Jr. and
P. R. Graves-Morris Some convergence and divergence theorems
for Hermite--Padé approximants . . . . . 285--293
A. Ronveaux and
A. Zarzo and
E. Godoy Fourth-order differential equations
satisfied by the generalized
co-recursive of all classical orthogonal
polynomials. A study of their
distribution of zeros . . . . . . . . . 295--328
V. Demichelis The use of modified quasi-interpolatory
splines for the solution of the Prandtl
equation . . . . . . . . . . . . . . . . 329--338
Erik Dick and
Kris Riemslagh Multi-staging of Jacobi relaxation in
multigrid methods for steady Euler
equations, II . . . . . . . . . . . . . 339--348
D. Calvetti and
E. Gallopoulos and
L. Reichel Incomplete partial fractions for
parallel evaluation of rational matrix
functions . . . . . . . . . . . . . . . 349--380
Harry A. Mavromatis Two integrals involving products of two
Bessel and a generalized hypergeometric
function . . . . . . . . . . . . . . . . 381--384
Anonymous Author index to volume 59 (1995) . . . . 385--386
Tetsuro Yamamoto Preface . . . . . . . . . . . . . . . . 1--1
Lidiya Y. Atanassova and
Jürgen P. Herzberger Lower bounds for the $R$-order of
convergence of simultaneous inclusion
methods for polynomial roots and related
iteration methods . . . . . . . . . . . 3--12
Erich Bohl and
Ivo Marek A nonlinear model involving
$M$-operators. An amplification effect
measured in the cascade of vision . . . 13--28
Xiaojun Chen and
Liqun Qi and
Robert S. Womersley Newton's method for quadratic stochastic
programs with recourse . . . . . . . . . 29--46
Andreas Frommer and
Hartmut Schwandt Asynchronous parallel methods for
enclosing solutions of nonlinear
equations . . . . . . . . . . . . . . . 47--62
Gerhard Heindl Experiences with a method for enclosing
solutions of systems of equations . . . 63--76
Liang Jiao Huang and
Tien-Yien Li Parallel homotopy algorithm for
symmetric large sparse eigenproblems . . 77--100
Masao Igarashi and
Tjalling Ypma Relationships between order and
efficiency of a class of methods for
multiple zeros of polynomials . . . . . 101--113
JoséMario Martínez An extension of the theory of secant
preconditioners . . . . . . . . . . . . 115--125
JoséMario Martínez and
Liqun Qi Inexact Newton methods for solving
nonsmooth equations . . . . . . . . . . 127--145
Günter Mayer Epsilon-inflation in verification
algorithms . . . . . . . . . . . . . . . 147--169
Shin'ichi Oishi Numerical verification of existence and
inclusion of solutions for nonlinear
operator equations . . . . . . . . . . . 171--185
Michael Plum Existence and enclosure results for
continua of solutions of
parameter-dependent nonlinear boundary
value problems . . . . . . . . . . . . . 187--200
Siegfried M. Rump Verified solution of large systems and
global optimization problems . . . . . . 201--218
Takanobu Sugimoto and
Masao Fukushima and
Toshihide Ibaraki A parallel relaxation method for
quadratic programming problems with
interval constraints . . . . . . . . . . 219--236
Paul Tseng On linear convergence of iterative
methods for the variational inequality
problem . . . . . . . . . . . . . . . . 237--252
Wang Deren and
Zhao Fengguang The theory of Smale's point estimation
and its applications . . . . . . . . . . 253--269
Nobito Yamamoto and
Mitsuhiro T. Nakao Numerical verifications for solutions to
elliptic equations using residual
iterations with a higher order finite
element . . . . . . . . . . . . . . . . 271--279
Anonymous List of invited talks . . . . . . . . . 281--282
Anonymous List of talks . . . . . . . . . . . . . 283--283
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
D. S. Lubinsky and
D. M. Matjila Full quadrature sums for $p$-th powers
of polynomials with Freud weights . . . 285--296
F. Cali\`o and
E. Marchetti and
P. Rabinowitz On the numerical solution of the
generalized Prandtl equation using
variation-diminishing splines . . . . . 297--307
P. J. van der Houwen and
B. P. Sommeijer and
W. A. van der Veen Parallel iteration across the steps of
high-order Runge--Kutta methods for
nonstiff initial value problems . . . . 309--329
A. A. Mohamed and
E. F. Elshehawey and
M. F. El-Sayed Electrohydrodynamic Kelvin--Helmholtz
instability for a velocity stratified
fluid . . . . . . . . . . . . . . . . . 331--346
K. Pan On the orthogonal rational functions
with arbitrary poles and interpolation
properties . . . . . . . . . . . . . . . 347--355
Alan Washburn Dynamic programming and the backpacker's
linear search problem . . . . . . . . . 357--365
Bradley K. Alpert High-order quadratures for integral
operators with singular kernels . . . . 367--378
Drumi D. Bainov and
Zdzis\law Kamont and
Emil Minchev Comparison principles for impulsive
hyperbolic equations of first order . . 379--388
Anonymous Author index to volume 60 (1995) . . . . 389--390
Anonymous Master index to volumes 51--60 . . . . . 391--407
A. S. Deif and
N. P. Seif and
S. A. Hussein Sylvester's equation: accuracy and
computational stability . . . . . . . . 1--11
Jean M.-S. Lubuma and
Serge Nicaise Dirichlet problems in polyhedral domains
II: Approximation by FEM and BEM . . . . 13--27
J. Struckmeier Fast generation of low-discrepancy
sequences . . . . . . . . . . . . . . . 29--41
Ulf Torsten Ehrenmark The numerical inversion of two classes
of Kontorovich--Lebedev transform by
direct quadrature . . . . . . . . . . . 43--72
Han Guoqiang Extrapolation of a discrete
collocation-type method of Hammerstein
equations . . . . . . . . . . . . . . . 73--86
Chih-Jen Lin and
Eugene K. Yang and
Shu-Cherng Fang and
Soon-Yi Wu Implementation of an inexact approach to
solving linear semi-infinite programming
problems . . . . . . . . . . . . . . . . 87--103
Xiu Ye and
Gary Anderson The derivation of minimal support basis
functions for the discrete divergence
operator . . . . . . . . . . . . . . . . 105--116
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
I. S. Litvinchev A two-level decomposition-aggregation
approach for large-scale optimal control
problems . . . . . . . . . . . . . . . . 117--137
Pedro M. Lima and
Mário M. Graça Convergence acceleration for boundary
value problems with singularities using
the E-algorithm . . . . . . . . . . . . 139--164
Carsten Carstensen and
Tetsuya Sakurai Simultaneous factorization of a
polynomial by rational approximation . . 165--178
Yinwei Zhan A bivariate $C$ $^3$ interpolation
scheme . . . . . . . . . . . . . . . . . 179--188
C. Vuik New insights in GMRES-like methods with
variable preconditioners . . . . . . . . 189--204
Miljenko Marusi\'c and
Mladen Rogina Sharp error bounds for interpolating
splines in tension . . . . . . . . . . . 205--223
Chen Zhong and
Fei Pusheng A parallel algorithm for constrained
optimization problems . . . . . . . . . 225--230
L. R. Shenton and
H. D. Vinod Closed forms for asymptotic bias and
variance in autoregressive models with
unit roots . . . . . . . . . . . . . . . 231--243
John P. Coleman and
Andrew S. Booth The Chebyshev methods of Panovsky and
Richardson as Runge--Kutta--Nyström
methods . . . . . . . . . . . . . . . . 245--261
J. I. Frankel A note on the integral formulation of
Kumar and Sloan . . . . . . . . . . . . 263--274
Barna L. Bihari and
Ami Harten Application of generalized wavelets: an
adaptive multiresolution scheme . . . . 275--321
Qiang Du and
Max D. Gunzburger and
L. Steven Hou Analysis and finite element
approximation of optimal control
problems for a Ladyzhenskaya model for
stationary, incompressible, viscous
flows . . . . . . . . . . . . . . . . . 323--343
Rainer Kress On the numerical solution of a
hypersingular integral equation in
scattering theory . . . . . . . . . . . 345--360
Anonymous Author index to volume 61 (1995) . . . . 361--362
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N14
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
B. W. van de Fliert and
E. van Groesen and
R. de Roo and
R. W. de Vries Numerical algorithm for the calculation
of nonsymmetric dipolar and rotating
monopolar vortex structures . . . . . . 1--25
Apostolos Hadjidimos and
Michael Neumann Superior convergence domains for the
$p$-cyclic SSOR majorizer . . . . . . . 27--40
K. S. Kölbig Two infinite integrals of products of
modified Bessel functions and powers of
logarithms . . . . . . . . . . . . . . . 41--65
A. Ronveaux and
A. Zarzo and
E. Godoy Recurrence relations for connection
coefficients between two families of
orthogonal polynomials . . . . . . . . . 67--73
Weimin Han and
Jinshi Zhou Quantitative justification of
simplifications in some heat conduction
problems . . . . . . . . . . . . . . . . 75--88
B. Owren Stability of Runge--Kutta methods used
in modular integration . . . . . . . . . 89--101
Paul Sablonni\`ere Comparison of four nonlinear transforms
on some classes of logarithmic fixed
point sequences . . . . . . . . . . . . 103--127
J. F. Frankena Störmer--Cowell: straight, summed and
split. An overview . . . . . . . . . . . 129--154
A. B. J. Kuijlaars Chebyshev-type quadrature and zeros of
Faber polynomials . . . . . . . . . . . 155--179
Paola Baratella and
Bruno Gabutti Uniform approximation on unit disk of
series arising in plate contact problems 181--196
C.-S. Chien and
N.-H. Lu and
Z.-L. Weng Conjugate gradient methods for
continuation problems II . . . . . . . . 197--216
Naoki Machida and
Masao Fukushima and
Toshihide Ibaraki A multisplitting method for symmetric
linear complementarity problems . . . . 217--227
Marc P. Mignolet Matrix polynomials orthogonal on the
unit circle and accuracy of
autoregressive models . . . . . . . . . 229--238
Jürgen Eichenauer-Herrmann Quadratic congruential pseudorandom
numbers: distribution of triples . . . . 239--253
Xiang Jiaxiang and
Ian T. Cameron Numerical solution of DAE systems using
block BDF methods . . . . . . . . . . . 255--266
David Elliott Three algorithms for Hadamard
finite-part integrals and fractional
derivatives . . . . . . . . . . . . . . 267--283
M. R. M. Witwit Some inner product techniques for
computing eigenvalues for
three-dimensional anharmonic oscillators
with quartic and sextic perturbations 285--299
Peter Monk and
Shangyou Zhang Multigrid computation of vector
potentials . . . . . . . . . . . . . . . 301--320
K. Pan Extensions of Szeg\Ho's theory of
rational functions orthogonal on the
unit circle . . . . . . . . . . . . . . 321--331
L. F. Shampine and
A. Witt Control of local error stabilizes
integrations . . . . . . . . . . . . . . 333--351
Amiran Ambroladze and
Hans Wallin Approximation by repeated Padé
approximants . . . . . . . . . . . . . . 353--358
D. D. Bainov and
I. M. Stamova Uniform asymptotic stability of
impulsive differential-difference
equations of neutral type by Lyapunov's
direct method . . . . . . . . . . . . . 359--369
Anonymous Author index to volume 62 (1995) . . . . 371--372
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Jirí Nedoma Preface . . . . . . . . . . . . . . . . 1--3
I. Marek An introduction of Professor Owe
Axelsson and Professor Milos Zlámal . . . 5--8
Erich Bohl and
Winfried Boos Binding protein-dependent transporters:
an answer of mathematics to biology . . 11--25
Erich Bohl and
Ivo Marek A model of amplification . . . . . . . . 27--47
J. Jersák Numerical simulations in quantum field
theory of elementary particles . . . . . 49--56
Thomas Kalkreuter Multigrid methods for propagators in
lattice gauge theories . . . . . . . . . 57--68
Pierre-Arnaud Raviart and
Eric Sonnendrücker Approximate models for the Maxwell
equations . . . . . . . . . . . . . . . 69--81
Martin Stynes Finite volume methods for
convection--diffusion problems . . . . . 83--90
V. Janovský and
S. Shaw and
M. K. Warby and
J. R. Whiteman Numerical methods for treating problems
of viscoelastic isotropic solid
deformation . . . . . . . . . . . . . . 91--107
Alexander Zenísek and
Mich\`ele Vanmaele Applicability of the Bramble--Hilbert
lemma in interpolation problems of
narrow quadrilateral isoparametric
finite elements . . . . . . . . . . . . 109--122
P. D. Panagiotopoulos Modelling of nonconvex nonsmooth energy
problems. Dynamic hemivariational
inequalities with impact effects . . . . 123--138
Rolf Stenberg On some techniques for approximating
boundary conditions in the finite
element method . . . . . . . . . . . . . 139--148
Owe Axelsson and
Maya Neytcheva Scalable algorithms for the solution of
Navier's equations of elasticity . . . . 149--178
Miloslav Feistauer and
Jirí Felcman and
Mária Lukácová-Medvid'ová Combined finite element-finite volume
solution of compressible flow . . . . . 179--199
Zdenek Dostál Duality based domain decomposition with
proportioning for the solution of free
boundary problems . . . . . . . . . . . 203--208
Teresa Regi\'nska Sideways heat equation and wavelets . . 209--214
Jitka Krízková and
Petr Vanek Domain decomposition like technique with
$ H / h $-independent rate of
convergence . . . . . . . . . . . . . . 215--220
Július Stuller Ordered modified Gram--Schmidt
orthogonalization revised . . . . . . . 221--227
Jirí Kobza Computing local parameters of biquartic
interpolatory splines . . . . . . . . . 229--236
Hao Lu Matrix compensation and diagonal
compensation . . . . . . . . . . . . . . 237--244
Gilles Carte and
Jan Dusek and
Philippe Fraunié Combined spectral-finite difference time
discretization for periodic and
quasi-periodic flows . . . . . . . . . . 245--254
R. Blaheta and
R. Kohut Solution of large nonlinear systems in
elastoplastic incremental analysis . . . 255--264
V. Kompis and
M. Kaukic and
M. Zmindák Modelling of local effects by
hybrid-displacement FE . . . . . . . . . 265--269
M. Hole\vcek Model of critical behaviour in
elasticity . . . . . . . . . . . . . . . 271--275
Igor Bock On von Kárman equations for viscoelastic
plates . . . . . . . . . . . . . . . . . 277--282
Ján Lovísek Optimal control in coefficients of
boundary value problems with a
unilateral inner obstacle . . . . . . . 283--290
Terenzio Scapolla Avoiding locking in Reissner--Mindlin
plates with high-order hierarchic bubble
plus finite elements . . . . . . . . . . 291--299
Jirí Kren A spatial problem of liquid-shell
interaction . . . . . . . . . . . . . . 301--306
J. Rosenberg Variational formulation of the problems
of mechanics and its matrix analogy . . 307--311
A. Gawecki and
M. S. Kuczma Elastic-plastic unilateral contact
problems for slackened systems . . . . . 313--323
A. Gaw\kecki and
B. Jani\'nska Computer analysis of slackened systems
under variable loads . . . . . . . . . . 325--332
Stanislav Koukal and
Michal Krízek Curved affine quadratic finite elements 333--339
Jean-François Maitre and
Olivier Pourquier About the conditioning of matrices in
the $p$-version of the finite element
method for second order elliptic
problems . . . . . . . . . . . . . . . . 341--348
Karel Segeth Grid adjustment for parabolic systems
based on a posteriori error estimates 349--355
P. Prikryl and
V. Cháb and
R. Cerný Computational modeling of solid-state
reactions in the Ni--Si systems induced
by pulsed lasers . . . . . . . . . . . . 357--363
Harald Wern Finite-element solutions for mechanical
drilling methods: a new integral
formalism . . . . . . . . . . . . . . . 365--372
Bodo Heise Nonlinear simulation of electromagnetic
fields with domain decomposition methods
on MIMD parallel computers . . . . . . . 373--381
J. Maryska and
M. Rozlozník and
M. Tuma Mixed-hybrid finite element
approximation of the potential fluid
flow problem . . . . . . . . . . . . . . 383--392
Jirí Nedoma Nonlinear analysis of the generalized
thermo-magnetodynamic problem . . . . . 393--402
Michal Krízek Numerical experience with the three-body
problem . . . . . . . . . . . . . . . . 403--409
Jirí Nedoma and
Jan Dvorák On the FEM solution of a coupled
contact-two-phase Stefan problem in
thermo-elasticity. Coercive case . . . . 411--420
Jirí Nedoma and
Jirí Stehlík Mathematical simulation of osteotomy.
Numerical analysis and results . . . . . 421--438
Miroslav Bartos and
Zdenek Kestránek Numerical solution of the contact
problem. Application to a simple model
of the human hip joint . . . . . . . . . 439--447
Y. A. Chao Unifying via conformal mapping
coarse-mesh neutron diffusion
calculations in Cartesian and hexagonal
geometries . . . . . . . . . . . . . . . 449--456
P. Vrba Modelling of particle beams . . . . . . 457--463
Alexander Frolov and
Stanislav Rízek Model of neurocontrol of redundant
systems . . . . . . . . . . . . . . . . 465--473
Petr Procházka Optimal eigenstress fields in layered
structures . . . . . . . . . . . . . . . 475--480
Anonymous List of participants . . . . . . . . . . 481--484
Anonymous Author index to volume 63 (1995) . . . . 485--486
M. Goovaerts and
L. Wuytack and
R. Piessens Preface . . . . . . . . . . . . . . . . 1--1
Arnold Zellner Bayesian and non-Bayesian approaches to
statistical inference and
decision-making . . . . . . . . . . . . 3--10
Christian Radoux Some arithmetical properties of Apéry
numbers . . . . . . . . . . . . . . . . 11--19
Gilbert Lissens Electricity systems analyses with
EPLAN--PULSE, a midterm model for the
evaluation of electricity production . . 21--40
Paul Embrechts and
Agnes M. Herzberg and
Heidi K. Kalbfleisch and
William N. Traves and
J. Robertson Whitla An introduction to wavelets with
applications to Andrews; plots . . . . . 41--56
André Klein and
Guy Mélard Computation of the Fisher information
matrix for time series models . . . . . 57--68
Marc G. Genton and
Peter J. Rousseeuw The change-of-variance function of
M-estimators of scale under general
contamination . . . . . . . . . . . . . 69--80
P. J. Rousseeuw and
E. Trauwaert and
L. Kaufman Fuzzy clustering with high contrast . . 81--90
J. Teghem and
M. Pirlot and
C. Antoniadis Embedding of linear programming in a
simulated annealing algorithm for
solving a mixed integer production
planning problem . . . . . . . . . . . . 91--102
János Fodor and
Marc Roubens On meaningfulness of means . . . . . . . 103--115
Oliver D. Anderson More effective time-series analysis and
forecasting . . . . . . . . . . . . . . 117--147
B. Heijnen and
G. K. Janssens Bounds for the mean system size in
M/G/1/K-queues . . . . . . . . . . . . . 149--161
Gerrit K. Janssens and
Wim Deceuninck and
Alex Van Breedam Opportunities of robust regression for
variance reduction in discrete event
simulation . . . . . . . . . . . . . . . 163--176
A. De Schepper and
B. Heijnen General restrictions on tail
probabilities . . . . . . . . . . . . . 177--188
F. De Vylder and
M. Goovaerts and
H. Cossette Classical regression model under
zero-excess assumptions . . . . . . . . 189--196
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Andreas Stathopoulos and
Yousef Saad and
Charlotte Froese Fischer Robust preconditioning of large, sparse,
symmetric eigenvalue problems . . . . . 197--215
S. K. Lucas and
H. A. Stone Evaluating infinite integrals involving
Bessel functions of arbitrary order . . 217--231
R. Medina Asymptotic behavior of the solutions of
second-order difference equations . . . 233--246
J. A. Stolan An improved Siljak's algorithm for
solving polynomial equations converges
quadratically to multiple zeros . . . . 247--268
S. K. Lucas Evaluating infinite integrals involving
products of Bessel functions of
arbitrary order . . . . . . . . . . . . 269--282
Victor Adamchik The evaluation of integrals of Bessel
functions via $G$-function identities 283--290
M. S. Petkovi\'c and
S. Trickovi\'c On zero-finding methods of the fourth
order . . . . . . . . . . . . . . . . . 291--294
K. S. Kölbig Chebyshev coefficients for the Clausen
function Cl $_2$ ( $x$ ) . . . . . . . . 295--297
Anonymous Author index to volume 64 (1995) . . . . 299--300
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Marcel G. de Bruin Preface . . . . . . . . . . . . . . . . 1--1
R. Álvarez-Nodarse and
A. G. García and
F. Marcellán On the properties for modifications of
classical orthogonal polynomials of
discrete variables . . . . . . . . . . . 3--18
Herman Bavinck On the zeros of certain linear
combinations of Chebyshev polynomials 19--26
Christian Berg Indeterminate moment problems and the
theory of entire functions . . . . . . . 27--55
A. Bultheel and
P. González-Vera and
R. Orive Quadrature on the half-line and
two-point Padé approximants to Stieltjes
functions. Part I. Algebraic aspects . . 57--72
William C. Connett and
Alan L. Schwartz Subsets of $R$ which support hypergroups
with polynomial characters . . . . . . . 73--84
Holger Dette On the minimum of the Christoffel
function . . . . . . . . . . . . . . . . 85--96
Kai Diethelm Gaussian quadrature formulae of the
third kind for Cauchy principal value
integrals: Basic properties and error
estimates . . . . . . . . . . . . . . . 97--114
J. Dombrowski and
S. Pedersen Orthogonal polynomials, spectral
measures, and absolute continuity . . . 115--124
Kathy Driver Nondiagonal quadratic Hermite--Padé
approximation to the exponential
function . . . . . . . . . . . . . . . . 125--134
Sven Ehrich Asymptotic behaviour of Stieltjes
polynomials for ultraspherical weight
functions . . . . . . . . . . . . . . . 135--144
Dario Fasino Spectral properties of Hankel matrices
and numerical solutions of finite moment
problems . . . . . . . . . . . . . . . . 145--155
Dharma P. Gupta and
David R. Masson Contiguous relations, continued
fractions and orthogonality: an $_8 {\O
}_7$ model . . . . . . . . . . . . . . . 157--164
E. K. Ifantis and
P. D. Siafarikas An alternative proof of a theorem of
Stieltjes and related results . . . . . 165--172
I. H. Jung and
K. H. Kwon and
D. W. Lee and
L. L. Littlejohn Differential equations and Sobolev
orthogonality . . . . . . . . . . . . . 173--180
V. Kaliaguine The operator moment problem, vector
continued fractions and an explicit form
of the Favard theorem for vector
orthogonal polynomials . . . . . . . . . 181--193
Masaaki Kijima and
Erik A. van Doorn Weighted sums of orthogonal polynomials
with positive zeros . . . . . . . . . . 195--206
A. B. J. Kuijlaars Chebyshev quadrature for measures with a
strong singularity . . . . . . . . . . . 207--214
Stanis\law Lewanowicz Results on the associated classical
orthogonal polynomials . . . . . . . . . 215--231
Lisa Lorentzen A convergence question inspired by
Stieltjes and by value sets in continued
fraction theory . . . . . . . . . . . . 233--251
Alphonse P. Magnus Special nonuniform lattice ( snul )
orthogonal polynomials on discrete dense
sets of points . . . . . . . . . . . . . 253--265
Francisco Marcellán and
JoséC. Petronilho and
Teresa E. Pérez and
Miguel A. Piñar What is beyond coherent pairs of
orthogonal polynomials? . . . . . . . . 267--277
G. Mastroianni Some weighted polynomial inequalities 279--292
D. M. Matjila Bounds for the weighted Lebesgue
functions for Freud weights on a larger
interval . . . . . . . . . . . . . . . . 293--298
Martin E. Muldoon Electrostatics and zeros of Bessel
functions . . . . . . . . . . . . . . . 299--308
Olav Njåstad Extremal solutions of the strong
Stieltjes moment problem . . . . . . . . 309--318
Franz Peherstorfer Stieltjes polynomials and functions of
the second kind . . . . . . . . . . . . 319--338
Franz Peherstorfer and
Robert Steinbauer Characterization of orthogonal
polynomials with respect to a functional 339--355
Margit Rösler Trigonometric convolution structures on
$Z$ derived from Jacobi polynomials . . 357--368
Ann Sinap Gaussian quadrature for matrix valued
functions on the real line . . . . . . . 369--385
F. H. Szafraniec A method of localizing the spectra of
sequences of orthogonal polynomials . . 387--394
N. M. Temme Uniform asymptotic expansions of
integrals: a selection of problems . . . 395--417
Galliano Valent and
Walter Van Assche The impact of Stieltjes' work on
continued fractions and orthogonal
polynomials: additional material . . . . 419--447
Michael Voit Limit theorems for random walks on the
double coset spaces $ U(n) || U(n - 1) $
for $ n \to \infty $ . . . . . . . . . . 449--459
Anonymous List of talks presented at the
conference . . . . . . . . . . . . . . . 461--463
Anonymous List of registered participants . . . . 464--468
Anonymous Author index to volume 65 (1995) . . . . 469--470
Anonymous Editorial Board . . . . . . . . . . . . iv--v
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Preface . . . . . . . . . . . . . . . . 1--2
Claude Brezinski and
Ana C. Matos A derivation of extrapolation algorithms
based on error estimates . . . . . . . . 5--26
Ann Sinap and
Walter Van Assche Orthogonal matrix polynomials and
applications . . . . . . . . . . . . . . 27--52
P. J. van der Houwen and
B. P. Sommeijer and
J. J. B. de Swart Parallel predictor--corrector methods 53--71
D. D. Ang and
A. Pham Ngoc Dinh and
D. N. Thanh An inverse Stefan problem:
identification of boundary value . . . . 75--84
Daniel Bessis Padé approximations in noise filtering 85--88
Albrecht Böttcher and
Hartmut Wolf Polynomial collocation over massive sets
for Toeplitz integral equations on the
Bergman space . . . . . . . . . . . . . 89--96
L. Brugnano and
D. Trigiante Convergence and stability of boundary
value methods for ordinary differential
equations . . . . . . . . . . . . . . . 97--109
Amos J. Carpenter Scientific computation on some
mathematical problems . . . . . . . . . 111--122
J. M. Chuang and
S. Z. Hu Numerical computation of
Muskhelishvili's integral equation in
plane elasticity . . . . . . . . . . . . 123--138
Calin R. Costian and
Dan C. Marinescu A distributed memory algorithm for $3$-D
FFTs . . . . . . . . . . . . . . . . . . 139--151
Gorik De Samblanx and
Marc Van Barel and
Adhemar Bultheel Duality in vector Padé--Hermite
approximation problems . . . . . . . . . 153--166
Kai Diethelm A definiteness criterion for linear
functionals and its application to
Cauchy principal value quadrature . . . 167--176
Sven Ehrich A note on Peano constants of
Gauss--Kronrod quadrature schemes . . . 177--183
P. Feinsilver and
R. Schott Operator calculus approach to orthogonal
polynomial expansions . . . . . . . . . 185--199
J. A. Ford and
I. A. Moghrabi Using function-values in multi-step
quasi-Newton methods . . . . . . . . . . 201--211
Neville J. Ford and
Christopher T. H. Baker Qualitative behaviour and stability of
solutions of discretised nonlinear
Volterra integral equations of
convolution type . . . . . . . . . . . . 213--225
S. González-Pinto and
J. I. Montijano and
L. Rández Improving the efficiency of the
iterative schemes for implicit
Runge--Kutta methods . . . . . . . . . . 227--238
T. N. Grapsa and
M. N. Vrahatis A dimension-reducing method for
unconstrained optimization . . . . . . . 239--253
P. R. Graves-Morris and
George A. Baker, Jr. and
C. F. Woodcock Cayley's theorem and its application in
the theory of vector Padé approximants 255--265
Michael Griebel and
Tilman Neunhoeffer Parallel point- and domain-oriented
multilevel methods for elliptic PDE's on
workstation networks . . . . . . . . . . 267--278
S. N. Hanna and
M. N. Abdel-Malek and
M. B. Abd-el-Malek Super-critical free-surface flow over a
trapezoidal obstacle . . . . . . . . . . 279--291
Hugo Janssen and
René Van Dooren Application of high-order difference
methods for the study of period doubling
bifurcations in nonlinear oscillators 293--313
Xiao-Qing Jin Fast iterative solvers for symmetric
Toeplitz systems --- A survey and an
extension . . . . . . . . . . . . . . . 315--321
Ryszard Klempous and
Jerzy Kotowski and
Ewa Szlachcic Interactive procedures in large-scale
two-dimensional cutting stock problems 323--331
Andrzej Korzeniowski On computer simulation of Feynman--Kac
path-integrals . . . . . . . . . . . . . 333--336
Dirk P. Laurie Periodizing transformations for
numerical integration . . . . . . . . . 337--344
Daniel W. Lozier Software needs in special functions . . 345--358
M. Morandi Cecchi and
M. Redivo-Zaglia and
G. Russo Extrapolation methods for hyperbolic
systems with relaxation . . . . . . . . 359--375
P. Moszkowicz and
J. Pousin and
F. Sanchez Diffusion and dissolution in a reactive
porous medium: Mathematical modelling
and numerical simulations . . . . . . . 377--389
Naoki Osada Vector sequence transformations for the
acceleration of logarithmic convergence 391--400
H. R. Parks and
J. T. Pitts The least-gradient method for computing
area minimizing hypersurfaces spanning
arbitrary boundaries . . . . . . . . . . 401--409
K. C. Posch and
R. Posch Division in residue number systems
involving length indicators . . . . . . 411--419
Jozef Rovder On monotone solution of the third-order
differential equation . . . . . . . . . 421--432
Paul Sablonni\`ere Quasi-interpolants associated with
$H$-splines on a three-direction mesh 433--442
B. Simeon On the numerical solution of a wheel
suspension benchmark problem . . . . . . 443--456
V. Simoncini and
E. Gallopoulos A hybrid block GMRES method for
nonsymmetric systems with multiple
right-hand sides . . . . . . . . . . . . 457--469
Roger C. Strawn and
Rupak Biswas Numerical simulations of helicopter
aerodynamics and acoustics . . . . . . . 471--483
Tadeusz Sty\'s $ O(\tau^2 + h^4) $ finite difference
scheme for decoupled system of two
quasilinear parabolic equations . . . . 485--496
Howard Swann Error estimates using the cell
discretization method for some parabolic
problems . . . . . . . . . . . . . . . . 497--514
A. van der Ploeg and
E. F. F. Botta and
F. W. Wubs Nested grids ILU-decomposition (NGILU) 515--526
R. Van Dooren and
H. Janssen A continuation algorithm for discovering
new chaotic motions in forced Duffing
systems . . . . . . . . . . . . . . . . 527--541
L. Vozovoi and
M. Israeli and
A. Averbuch Multidomain local Fourier method for
PDEs in complex geometries . . . . . . . 543--555
Shi-Nine Yang and
Wei-Chang Du Numerical methods for approximating
digitized curves by piecewise circular
arcs . . . . . . . . . . . . . . . . . . 557--569
Jin Yun Yuan Numerical methods for generalized least
squares problems . . . . . . . . . . . . 571--584
Anonymous List of papers presented at the congress 585--588
Anonymous Author index to volume 66 (1996) . . . . 589--590
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
A. Bultheel Book Review: \booktitleMatrix and
operator valued functions: I. Gohberg
and L. A. Sakhnovich (eds.) Operator
theory advances and applications, 72,
Birkhäuser Verlag, Basel, Boston, Berlin,
1994, xxviii + 211 pages, ISBN
3-7643-5091-1, Hardcover, DM 118,
\pounds 48 . . . . . . . . . . . . . . . N2
A. Bultheel Book Review: \booktitleTime-varying
discrete linear systems: Aristide
Halanay and Vlad Ionescu Operator Theory
Advances and Applications, 72, Birkhäuser
Verlag, Basel, Boston, Berlin, 1994,
xxvii + 211 pages, ISBN 3-7643-5091-1,
Hardcover, DM 118, \pounds 48 . . . . . N2
A. Bultheel Book Review: \booktitleNonselfadjoint
operator and related topics: A. Feintuch
and I. Gohberg (eds.) Operator Theory
Advances and Applications, 73, Birkhäuser
Verlag, Basel, Boston, Berlin, 1994, x +
416 pages, ISBN 3-7643-5097-0,
Hardcover, DM 178, \pounds 78 . . . . . N2--N3
J. Verschelde Book Review: \booktitleBasic algebraic
geometry: Igor R. Shafarevich Second,
revised and expanded edition, translated
by Miles Reid, Springer-Verlag, 1994,
Volume 1: \booktitleVarieties in
projective space, ISBN 3-540-54812-2,
Softcover, DM 68. Volume 2:
\booktitleSchemes and complex manifolds,
ISBN 3-540-57554-5, Softcover, DM 68 . . N3--N4
K. Meerbergen Book Review: \booktitleA survey of
preconditioned iterative methods: Are
Magnus Bruaset, Research notes in
mathematics, 328, Longman, 1995, ISBN
0-582-27654-3 . . . . . . . . . . . . . N4--N5
P. Kravanja Book Review: \booktitleFast algorithms:
a multitape Turing machine
implementation: Arnold Schönhage, Andreas
F. W. Grotefeld and Ekkehart Vetter,
B.I. Wissenschaftsverlag, Dudenstraße 6,
Postfach 100311, 6800 Mannheim 1,
Germany, 1994, 297 pages with 24
illustrations and 5 tables, ISBN
3-411-16891-9, Hardcover, DM 68 . . . . N5
G. Uytterhoeven Book Review: \booktitleDigital video
processing: A. Murat Tekalp
Prentice-Hall signal processing series,
Prentice Hall PTR, 1995, xxii + 526
pages, ISBN 0-13-190075-7 . . . . . . . N5--N6
R. Piessens Book Review: \booktitleMathematica
graphics techniques and applications: T.
Wickham-Jones, Wolfram Research Inc.,
Champaign, IL, USA Springer, Berlin
1994, 721 pp., ISBN 3-540-94047-2,
Hardcover, \pounds 35, DM 80 . . . . . . N6
Anonymous Conferences . . . . . . . . . . . . . . N6--N19
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N19--N20
J. M. Aitchison and
N. K. Upton Solution of constrained nonlinear
equations in modelling the release of
liquified gases . . . . . . . . . . . . 1--14
E. de Sturler Nested Krylov methods based on GCR . . . 15--41
Sòren Christiansen and
Jukka Saranen The conditioning of some numerical
methods for first kind boundary integral
equations . . . . . . . . . . . . . . . 43--58
Stanis\law Tokarzewski Two-point Padé approximants for the
expansions of Stieltjes functions in
real domain . . . . . . . . . . . . . . 59--72
Kris Riemslagh and
Erik Dick A multigrid method with unstructured
adaptive grids for steady Euler
equations . . . . . . . . . . . . . . . 73--93
David Levin Fast integration of rapidly oscillatory
functions . . . . . . . . . . . . . . . 95--101
Galliano Valent Exact solutions of some quadratic and
quartic birth and death processes and
related orthogonal polynomials . . . . . 103--127
M. R. M. Witwit Energy levels for a double-well
potential in three-dimensional system
using Hill determinant approach . . . . 129--140
A. Cuyt and
K. Driver and
D. S. Lubinsky Nuttall--Pommerenke theorems for
homogeneous Padé approximants . . . . . . 141--146
G. Mühlbach On Hermite interpolation by
Cauchy--Vandermonde systems: the
Lagrange formula, the adjoint and the
inverse of a Cauchy--Vandermonde matrix 147--159
Riccardo Sacco Exponentially fitted shape functions for
advection-dominated flow problems in two
dimensions . . . . . . . . . . . . . . . 161--165
Frank G. Lether Rational approximation formulas for
computing the positive zeros of $ J_0
(x) $ . . . . . . . . . . . . . . . . . 167--172
M. A. López-Marcos and
J. M. Sanz-Serna and
J. C. Díaz Are Gauss--Legendre methods useful in
molecular dynamics? . . . . . . . . . . 173--179
K. S. Kölbig An infinite integral of Bessel functions 181--183
Hermann Brunner and
Ningning Yan On global superconvergence of iterated
collocation solutions to linear
second-kind Volterra integral equations 185--189
Harold Exton New generating functions for Gegenbauer
polynomials . . . . . . . . . . . . . . 191--193
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Mark J. Schaefer Verification of constrained minima . . . 195--205
V. Kaliaguine and
A. Ronveaux On an system of ``classical''
polynomials of simultaneous
orthogonality . . . . . . . . . . . . . 207--217
M. Prévost A new proof of the irrationality of $
\zeta (2) $ and $ \zeta (3) $ using Padé
approximants . . . . . . . . . . . . . . 219--235
Mário M. Graça The sign regularity of the auxiliary
family $ g_i(x) = x^{\alpha_i} ( - \ln
x)^{\beta_i} $ in convergence
acceleration processes using the
$E$-algorithm . . . . . . . . . . . . . 237--253
R. M. Thomas and
T. E. Simos and
G. V. Mitsou A family of Numerov-type exponentially
fitted predictor--corrector methods for
the numerical integration of the radial
Schrödinger equation . . . . . . . . . . 255--270
A. Sesappa Rai and
U. Ananthakrishnaiah Additive parameters methods for the
numerical integration of $ y'' = f(t, y,
y') $ . . . . . . . . . . . . . . . . . 271--276
Shahar Boneh and
Vassilis G. Papanicolaou General asymptotic estimates for the
Coupon Collector Problem . . . . . . . . 277--289
T. R. Sivakumar and
S. Savithri A new nonlinear integration formula for
ODEs . . . . . . . . . . . . . . . . . . 291--299
Jozef Dzurina and
Vincent Soltés Asymptotic analysis of ODEs . . . . . . 301--307
S. S. Han and
K. H. Kwon and
L. L. Littlejohn Zeros of orthogonal polynomials in
certain discrete Sobolev spaces . . . . 309--325
A. K. Common and
J. H. McCabe The symmetric strong moment problem . . 327--341
José Castillo and
Erik M. Pedersen Solution adaptive direct variational
grids for fluid flow calculations . . . 343--370
M. A. Chaudhry and
N. M. Temme and
E. J. M. Veling Asymptotics and closed form of a
generalized incomplete gamma function 371--379
Anonymous Author index to volume 67 (1996) . . . . 381--382
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Mourad E. H. Ismail and
David R. Masson Preface . . . . . . . . . . . . . . . . 1--2
Krishnaswami Alladi The quintuple product identity and
shifted partition functions . . . . . . 3--13
George E. Andrews Pfaff's method (II): diverse
applications . . . . . . . . . . . . . . 15--23
Richard A. Askey and
Mizan Rahman and
Serge\uì K. Suslov On a general $q$-Fourier transformation
with nonsymmetric kernels . . . . . . . 25--55
Roberto Floreanini and
Luc Vinet $q$-gamma and $q$-beta functions in
quantum algebra representation theory 57--68
Paul G. A. Floris A noncommutative discrete hypergroup
associated with $q$-disk polynomials . . 69--78
Dominique Foata and
Doron Zeilberger Graphical major indices . . . . . . . . 79--101
F. Alberto Grünbaum and
Luc Haine The $q$-version of a theorem of Bochner 103--114
D. P. Gupta and
M. E. H. Ismail and
D. R. Masson Contiguous relations, basic
hypergeometric functions, and orthogonal
polynomials. III. Associated continuous
dual $q$-Hahn polynomials . . . . . . . 115--149
Robert A. Gustafson and
C. Krattenthaler Heine transformations for a new kind of
basic hypergeometric series in $U$ ( $n$
) . . . . . . . . . . . . . . . . . . . 151--158
Gou-Niu Han Une démonstration ``vérificative'' d'un
résultat de Foata--Zeilberger sur les
relations bipartitionnaires. (French) [A
``verifying'' proof of a
Foata--Zeilberger result on
bipartitioning relations] . . . . . . . 159--162
Mourad E. H. Ismail and
Mizan Rahman and
Ruiming Zhang Diagonalization of certain integral
operators II . . . . . . . . . . . . . . 163--196
E. G. Kalnins and
Willard Miller, Jr. A note on tensor products of $q$-algebra
representations and orthogonal
polynomials . . . . . . . . . . . . . . 197--207
H. T. Koelink Yet another basic analogue of Graf's
addition formula . . . . . . . . . . . . 209--220
A. Medrano and
P. Myers and
H. M. Stark and
A. Terras Finite analogues of Euclidean space . . 221--238
Stephen C. Milne and
John W. Newcomb $ U(n) $ very-well-poised $_{10}$ Ò $_9$
transformations . . . . . . . . . . . . 239--285
Mizan Rahman Some generating functions for the
associated Askey--Wilson polynomials . . 287--296
R. Simion and
D. Stanton Octabasic Laguerre polynomials and
permutation statistics . . . . . . . . . 297--329
Anonymous Author index to volume 68 (1996) . . . . 331--331
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
G. Papageorgiou and
Ch. Tsitouras Continuous Runge--Kutta(--Nyström)
methods with reduced phase-errors . . . 1--11
Aatos Lahtinen On the choice of the initial value of a
quadratic spline in positive
interpolation . . . . . . . . . . . . . 13--25
Yu. S. Popkov Multiplicative algorithms for
determining positive solutions of
nonlinear equations . . . . . . . . . . 27--37
K. S. Kölbig and
W. Strampp Some infinite integrals with powers of
logarithms and the complete Bell
polynomials . . . . . . . . . . . . . . 39--47
W. McLean and
V. Thomée and
L. B. Wahlbin Discretization with variable time steps
of an evolution equation with a
positive-type memory term . . . . . . . 49--69
Cliff Cyphers and
Marcin Paprzycki and
Andreas Karageorghis High performance solution of partial
differential equations discretized using
a Chebyshev spectral collocation method 71--80
Herbert H. H. Homeier Analytical and numerical studies of the
convergence behavior of the $j$
transformation . . . . . . . . . . . . . 81--112
Salim Meddahi and
Javier Valdés and
Omar Menéndez and
Pablo Pérez On the coupling of boundary integral and
mixed finite element methods . . . . . . 113--124
Tobin A. Driscoll and
Lloyd N. Trefethen Pseudospectra for the wave equation with
an absorbing boundary . . . . . . . . . 125--142
Carla Manni $C$ $^1$ comonotone Hermite
interpolation via parametric cubics . . 143--157
Stanis\law Lewanowicz Second-order recurrence relation for the
linearization coefficients of the
classical orthogonal polynomials . . . . 159--170
M. Alfaro and
G. López and
M. L. Rezola Some properties of zeros of Sobolev-type
orthogonal polynomials . . . . . . . . . 171--179
Sonia Krzyworzcka Extension of the Lanczos and CGS methods
to systems of nonlinear equations . . . 181--190
Pierluigi Amodio and
Francesca Mazzia Parallel block preconditioning for the
solution of boundary value methods . . . 191--206
Drumi Bainov and
Emil Minchev Oscillation of the solutions of
impulsive parabolic equations . . . . . 207--214
Y. Ge and
L. T. Watson and
E. G. Collins, Jr. A comparison of homotopies for
alternative formulations of the $ L^2 $
optimal model order reduction problem 215--241
Min Tsao A measure of accuracy for quadrature
methods for Fredholm equations of the
first kind . . . . . . . . . . . . . . . 243--249
C. M. Joshi and
S. K. Bissu Inequalities for some special functions 251--259
M. Van Barel and
Z. Vavrín Inversion of a block Löwner matrix . . . 261--284
Bartur Jumarhon and
Sean McKee Product integration methods for solving
a system of nonlinear Volterra integral
equations . . . . . . . . . . . . . . . 285--301
Jocelyne Erhel and
Kevin Burrage and
Bert Pohl Restarted GMRES preconditioned by
deflation . . . . . . . . . . . . . . . 303--318
Lieven Matthys and
Hendrik Lambert and
Gilbert De Mey A recursive construction of particular
solutions to a system of coupled linear
partial differential equations with
polynomial source term . . . . . . . . . 319--329
M. R. M. Witwit Energy levels of a nonpolynomial
oscillator using finite difference
technique . . . . . . . . . . . . . . . 331--343
K. Pan Convergence of orthogonal rational
functions outside of the unit circle . . 345--351
A. Cuyt and
K. A. Driver and
D. S. Lubinsky A direct approach to convergence of
multivariate, nonhomogeneous, Padé
approximants . . . . . . . . . . . . . . 353--366
Jia-Liang Li On the growth of meromorphic functions
defined by quasi-regular $c$-fractions 367--377
Anonymous Author index to volume 69 (1996) . . . . 379--380
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Y. G. Saridakis and
C. G. Sifniotopoulos and
D. A. Sotiropoulos Finite element collocation approximation
of the characteristic exponent in BVPs
with periodic coefficients . . . . . . . 1--14
R. K. Mohanty and
M. K. Jain High accuracy difference schemes for the
system of two space nonlinear parabolic
differential equations with mixed
derivatives and variable coefficients 15--32
Rabindra Nath Sen and
Md. Bellal Hossain Finite difference methods for certain
singular two-point boundary value
problems . . . . . . . . . . . . . . . . 33--50
L. Brutman On the Vykhandu--Levin iterative method
for numerical solution of nonlinear
systems . . . . . . . . . . . . . . . . 51--56
Rigoberto Medina Asymptotic properties of solutions of
nonlinear difference equations . . . . . 57--66
Y. Yamagishi Global convergence of the Durand--Kerner
method applied to the equation $ z^3 $ =
0 . . . . . . . . . . . . . . . . . . . 67--73
N. Mastronardi and
D. Occorsio Some numerical algorithms to evaluate
Hadamard finite-part integrals . . . . . 75--93
D. E. Roberts On the convergence of rows of vector Padé
approximants . . . . . . . . . . . . . . 95--109
Anna K. Panorska Generalized stable models for financial
asset returns . . . . . . . . . . . . . 111--114
M. Marin Some basic theorems in elastostatics of
micropolar materials with voids . . . . 115--126
Eric Dubach Artificial boundary conditions for
diffusion equations: Numerical study . . 127--144
Yu. Yu. Lobanov and
R. R. Shahbagian and
E. P. Zhidkov Computation of multiple functional
integrals in quantum physics . . . . . . 145--160
A. Chakrabarti and
Hamsapriye Derivation of a general mixed
interpolation formula . . . . . . . . . 161--172
Bruce D. Lowe and
William Rundell The determination of a coefficient in an
elliptic equation from average flux data 173--187
Stanislav S. Bielawski and
Stepan G. Mulyarchik and
Andrew V. Popov The construction of an algebraically
reduced system for the acceleration of
preconditioned conjugate gradients . . . 189--200
M. A. Bokhari and
M. Iqbal $ L_2 $-approximation of real-valued
functions with interpolatory constraints 201--205
Christine Böckmann Curve fitting and identification of
physical spectra . . . . . . . . . . . . 207--224
Xiao-Qing Jin Band Toeplitz preconditioners for block
Toeplitz systems . . . . . . . . . . . . 225--230
R. K. Mohanty and
M. K. Jain and
Kochurani George High order difference schemes for the
system of two space second order
nonlinear hyperbolic equations with
variable coefficients . . . . . . . . . 231--243
Pedro M. Lima Numerical methods and asymptotic error
expansions for the Emden--Fowler
equations . . . . . . . . . . . . . . . 245--266
D. D. Bainov and
A. B. Dishliev and
I. M. Stamova Lipschitz quasistability of impulsive
differential-difference equations with
variable impulsive perturbations . . . . 267--277
Khalfa Douak The relation of the $d$-orthogonal
polynomials to the Appell polynomials 279--295
Peter Ashwin and
Klaus Böhmer and
Z. Mei Forced symmetry breaking of homoclinic
cycles in a PDE with O(2) symmetry . . . 297--310
M. W. Smiley A finite element method for computing
the bifurcation function for semilinear
elliptic BVPs . . . . . . . . . . . . . 311--327
Drumi D. Bainov and
Zdzis\law Kamont and
Emil Minchev Monotone iterative methods for impulsive
hyperbolic differential-functional
equations . . . . . . . . . . . . . . . 329--347
Borislav Bojanov On a quadrature formula of Micchelli and
Rivlin . . . . . . . . . . . . . . . . . 349--356
Anonymous Author index to volume 70 (1996) . . . . 357--358
Anonymous Master index to volumes 61--70 . . . . . 359--378
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
E. Santi On the evaluation of Cauchy principal
value integrals by rules based on
quasi-interpolating splines . . . . . . 1--14
Boting Yang and
Kecun Zhang and
Zhaoyong You A successive quadratic programming
method that uses new corrections for
search directions . . . . . . . . . . . 15--31
M. R. Crisci and
N. Ferraro and
E. Russo Convergence results for continuous-time
waveform methods for Volterra integral
equations . . . . . . . . . . . . . . . 33--45
P. Maillard and
M. V. Romerio A stability criterion for an infinitely
long Hall--Héroult cell . . . . . . . . . 47--65
Hermann Brunner and
Yuri Yatsenko Spline collocation methods for nonlinear
Volterra integral equations with unknown
delay . . . . . . . . . . . . . . . . . 67--81
S. Bellavia and
M. G. Gasparo and
M. Macconi A Switching-Method for nonlinear systems 83--93
Ming-Jun Lai and
Paul Wenston On multi-level bases for elliptic
boundary value problems . . . . . . . . 95--113
H. De Meyer and
P. Bocher and
V. Fack and
G. Vanden Berghe A parallel fifth-order algorithm for the
numerical solution of Volterra equations 115--124
Diederik R. Fokkema and
Gerard L. G. Sleijpen and
Henk A. Van der Vorst Generalized conjugate gradient squared 125--146
John R. Graef and
János Karsai On the asymptotic behavior of solutions
of impulsively damped nonlinear
oscillator equations . . . . . . . . . . 147--162
Turgut Ozis and
Ali Ozdes A direct variational methods applied to
Burgers' equation . . . . . . . . . . . 163--175
Yunkang Liu On the $ \theta $-method for delay
differential equations with infinite lag 177--190
J. M. Zhang and
X. C. Li and
C. K. Qu Error bounds for asymptotic solutions of
second-order linear difference equations 191--212
Xieping-Gao and
Shi-Shu and
Kaixin-Fu Quartic spline-on-spline interpolation 213--223
Antonia Vecchio Highly stable parallel Volterra
Runge--Kutta methods . . . . . . . . . . 225--236
Hsien-Kuei Hwang Asymptotic expansion for the Lebesgue
constants of the Walsh system . . . . . 237--243
Francisco Marcellán and
Teresa E. Pérez and
Miguel A. Piñar Laguerre--Sobolev orthogonal polynomials 245--265
D. Calvetti and
L. Reichel Adaptive Richardson iteration based on
Leja points . . . . . . . . . . . . . . 267--286
J. Y. Yuan and
A. N. Iusem Preconditioned conjugate gradient method
for generalized least squares problems 287--297
Alan Genz and
B. D. Keister Fully symmetric interpolatory rules for
multiple integrals over infinite regions
with Gaussian weight . . . . . . . . . . 299--309
T. Lang and
R. Wong ``Best possible'' upper bounds for the
first two positive zeros of the Bessel
function $ J_v(x) $: the infinite case 311--329
Jean Letessier and
André Ronveaux and
Galliano Valent Fourth-order difference equation for the
associated Meixner and Charlier
polynomials . . . . . . . . . . . . . . 331--341
Lars Mönch On the numerical solution of the direct
scattering problem for an open
sound-hard arc . . . . . . . . . . . . . 343--356
K. S. Kölbig and
H. Scherb On a Hankel transform integral
containing an exponential function and
two Laguerre polynomials . . . . . . . . 357--363
J. M. Carnicer and
M. García-Esnaola and
J. M. Peña Convexity of rational curves and total
positivity . . . . . . . . . . . . . . . 365--382
K. F. Loe A sinusoidal polynomial spline and its
Bézier blended interpolant . . . . . . . 383--393
Anonymous Author index to volume 71 (1996) . . . . 395--396
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
H. Z. Shu The superconvergence of a Galerkin
collocation method for first kind
boundary integral equations on smooth
curves . . . . . . . . . . . . . . . . . 1--20
C. Sánchez-Ávila and
A. R. Figueiras-Vidal New POCS algorithms for regularization
of inverse problems . . . . . . . . . . 21--39
G. S. Androulakis and
M. N. Vrahatis OPTAC: a portable software package for
analyzing and comparing optimization
methods by visualization . . . . . . . . 41--62
A. Hadjidimos and
D. Noutsos and
M. Tzoumas On the convergence domains of the
$p$-cyclic SOR . . . . . . . . . . . . . 63--83
D. J. Walton and
D. S. Meek A planar cubic Bézier spiral . . . . . . 85--100
Rudolf Wegmann Fast conformal mapping of an ellipse to
a simply connected region . . . . . . . 101--126
Shu-Cherng Fang and
H.-S. Jacob Tsao An efficient computational procedure for
solving entropy optimization problems
with infinitely many linear constraints 127--139
Yu Yu Feng and
Jernej Kozak On $ G^2 $ continuous interpolatory
composite quadratic Bézier curves . . . . 141--159
M. A. Abdou Fredholm integral equation of the second
kind with potential kernel . . . . . . . 161--167
Da-Wei Chang Convergence analysis of the parallel
multisplitting TOR method . . . . . . . 169--177
R. Van Keer and
L. R. Dupré and
J. A. A. Melkebeek On a numerical method for $2$D magnetic
field computations in a lamination with
enforced total flux . . . . . . . . . . 179--191
J. Hureau and
E. Brunon and
Ph. Legallais Ideal free streamline flow over a curved
obstacle . . . . . . . . . . . . . . . . 193--214
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N15
E. Liz and
Juan J. Nieto Boundary value problems for second order
integro-differential equations of
Fredholm type . . . . . . . . . . . . . 215--225
Hans Babovsky Recognition of ring pairs in the data
analysis of Cherenkov detectors . . . . 227--234
Bui Doan Khanh A numerical resolution of the
Gelfand--Levitan equation . . . . . . . 235--244
R. A. Renaut and
J. S. Parent Rational approximations to $ 1 / \sqrt
{1 - s^2} $ one-way wave equations and
absorbing boundary conditions . . . . . 245--259
Jianzhong Zhang and
Zhenhong Liu Calculating some inverse linear
programming problems . . . . . . . . . . 261--273
T. Sakurai and
M. S. Petkovi\'c On some simultaneous methods based on
Weierstrass' correction . . . . . . . . 275--291
J. L. Lavoie and
F. Grondin and
A. K. Rathie Generalizations of Whipple's theorem on
the sum of a $_3$ $F$ $_2$ . . . . . . . 293--300
John Gill A note on bounds for the derivatives of
continued fractions . . . . . . . . . . 301--307
Drumi Bainov and
Cui Baotong and
Emil Minchev Forced oscillation of solutions of
certain hyperbolic equations of neutral
type . . . . . . . . . . . . . . . . . . 309--318
J. Weisz On an iterative method for the solution
of discretized elliptic problems with
imperfect contact condition . . . . . . 319--333
Scheiber Ern\Ho On the parallel version of the
successive approximation method for
quasilinear boundary value problem . . . 335--343
G. Avdelas and
T. E. Simos A generator of high-order embedded
$P$-stable methods for the numerical
solution of the Schrödinger equation . . 345--358
D. E. Stewart and
T. S. Leyk Error estimates for Krylov subspace
approximations of matrix exponentials 359--369
Stephen Joe A useful result in searches for good
vertex-modified number-theoretic rules 371--377
Tatyana Luzyanina and
Dirk Roose Numerical stability analysis and
computation of Hopf bifurcation points
for delay differential equations . . . . 379--392
M. N. Spijker Stiffness in numerical initial-value
problems . . . . . . . . . . . . . . . . 393--406
A. Cachafeiro and
C. Suárez Kernels on the unit circle.
Orthogonality . . . . . . . . . . . . . 407--420
R. K. Mohanty and
M. K. Jain and
Kochurani George On the use of high order difference
methods for the system of one space
second order nonlinear hyperbolic
equations with variable coefficients . . 421--431
Anonymous Author index to volume 72 (1996) . . . . 433--434
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Alain Le Méhauté and
Larry L. Schumaker and
Leonardo Traversoni Multivariate scattered data fitting . . 1--4
Peter Alfeld and
Marian Neamtu and
Larry L. Schumaker Fitting scattered data on sphere-like
surfaces using spherical splines . . . . 5--43
Paolo Costantini and
Carla Manni On a class of polynomial triangular
macro-elements . . . . . . . . . . . . . 45--64
Michael S. Floater and
Armin Iske Multistep scattered data interpolation
using compactly supported radial basis
functions . . . . . . . . . . . . . . . 65--78
R. Franke and
K. Salkauskas Localization of multivariate
interpolation and smoothing methods . . 79--94
A. W. Habib and
R. N. Goldman and
T. Lyche A recursive algorithm for Hermite
interpolation over a triangular grid . . 95--118
H.-P. Helfrich and
D. Zwick A trust region algorithm for parametric
curve and surface fitting . . . . . . . 119--134
Ming-Jun Lai On $ C^2 $ quintic spline functions over
triangulations of Powell--Sabin's type 135--155
Xiaoyu Liu and
Larry L. Schumaker Hybrid Bézier patches on sphere-like
surfaces . . . . . . . . . . . . . . . . 157--172
Marian Neamtu Homogeneous simplex splines . . . . . . 173--189
Laura B. Montefusco Semi-orthogonal wavelet packet bases for
parallel least-squares approximation . . 191--208
Matthias Herrmann and
Bernd Mulansky and
Jochen W. Schmidt Scattered data interpolation subject to
piecewise quadratic range restrictions 209--223
M. C. Parra and
M. C. López de Silanes and
J. J. Torrens Vertical fault detection from scattered
data . . . . . . . . . . . . . . . . . . 225--239
Christophe Rabut Interpolation with radially symmetric
thin plate splines . . . . . . . . . . . 241--256
Robert Schaback and
Z. Wu Operators on radial functions . . . . . 257--270
Anonymous Author index to volume 73 (1996) . . . . 271--271
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
J. Tinsley Oden and
Graham F. Carey Preface . . . . . . . . . . . . . . . . 1--1
Amit N. Agarwal and
Peter M. Pinsky Stabilized element residual method
(SERM): a posteriori error estimation
for the advection--diffusion equation 3--17
Todd Arbogast and
Steve Bryant and
Clint Dawson and
Fredrik Saaf and
Chong Wang and
Mary Wheeler Computational methods for multiphase
flow and reactive transport problems
arising in subsurface contaminant
remediation . . . . . . . . . . . . . . 19--32
O. Axelsson The stabilized $V$-cycle method . . . . 33--50
I. Babuska and
B. Andersson and
B. Guo and
J. M. Melenk and
H. S. Oh Finite element method for solving
problems with singular solutions . . . . 51--70
Zhaojun Bai and
Mark Fahey and
Gene Golub Some large-scale matrix computation
problems . . . . . . . . . . . . . . . . 71--89
Richard Barrett and
Michael Berry and
Jack Dongarra and
Victor Eijkhout and
Charles Romine Algorithmic bombardment for the
iterative solution of linear systems: a
poly-iterative approach . . . . . . . . 91--109
Ted Belytschko and
Yury Krongauz and
Mark Fleming and
Daniel Organ and
Wing Kam Snm Liu Smoothing and accelerated computations
in the element free Galerkin method . . 111--126
J. L. Bona and
V. A. Dougalis and
O. A. Karakashian and
W. R. McKinney The effect of dissipation on solutions
of the generalized Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 127--154
James H. Bramble and
Joseph E. Pasciak Least-squares methods for Stokes
equations based on a discrete minus one
inner product . . . . . . . . . . . . . 155--173
Björn Engquist and
Olof Runborg Multi-phase computations in geometrical
optics . . . . . . . . . . . . . . . . . 175--192
Richard E. Ewing Multidisciplinary interactions in energy
and environmental modeling . . . . . . . 193--215
Thomas J. R. Hughes and
James R. Stewart A space-time formulation for multiscale
phenomena . . . . . . . . . . . . . . . 217--229
T. Kärkkäinen and
P. Neittaanmäki and
A. Niemistö Numerical methods for nonlinear inverse
problems . . . . . . . . . . . . . . . . 231--244
J. Tinsley Oden and
Yusheng Feng Local and pollution error estimation for
finite element approximations of
elliptic boundary value problems . . . . 245--293
Anand L. Pardhanani and
Graham F. Carey Efficient simulation of complex patterns
in reaction--diffusion systems . . . . . 295--311
S. Shaw and
M. K. Warby and
J. R. Whiteman Discrete schemes for treating hereditary
problems of viscoelasticity and
applications . . . . . . . . . . . . . . 313--329
David M. Young and
David R. Kincaid A new class of parallel alternating-type
iterative methods . . . . . . . . . . . 331--344
Anonymous Author index to volume 74 (1996) . . . . 345--346
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
M. D. Benchiboun Extension of Henrici's method to matrix
sequences . . . . . . . . . . . . . . . 1--21
A. Sri Ranga Companion orthogonal polynomials . . . . 23--33
Walter M. Lioen On the diagonal approximation of full
matrices . . . . . . . . . . . . . . . . 35--42
K. S. Kölbig The polygamma function $ \psi^{(k)}(x) $
for $ x = 1 / 4 $ and $ x = 3 / 4 $ . . 43--46
D. J. Walton and
D. S. Meek Approximation of a planar cubic Bézier
spiral by circular arcs . . . . . . . . 47--56
Sheng-Li Xie and
Sui Sun Cheng Stability criteria for parabolic type
partial difference equations . . . . . . 57--66
M. A. M. Alwash Periodic solutions of a quartic
differential equation and Groebner bases 67--76
Nguyen Buong On approximate solution for operator
equations of Hammerstein type . . . . . 77--86
Hisashi Kotakemori and
Hiroshi Niki and
Naotaka Okamoto Accelerated iterative method for
$Z$-matrices . . . . . . . . . . . . . . 87--97
Jun Zhang Symbolic and numerical computation on
Bessel functions of complex argument and
large magnitude . . . . . . . . . . . . 99--118
Qun Lin and
J. G. Rokne A circular splitting search algorithm
for systems of complex equations . . . . 119--129
Johannes Elschner and
Ernst P. Stephan A discrete collocation method for Symm's
integral equation on curves with corners 131--146
P. Costantini and
C. Manni Comonotone parametric $C$ $^1$
interpolation of nongridded data . . . . 147--169
Ulf Torsten Ehrenmark On the error and its control in a
two-parameter generalised Newton--Cotes
rule . . . . . . . . . . . . . . . . . . 171--195
M. R. M. Witwit Quantum theory of a double-well
potential: Energy levels for symmetric
and nonsymmetric double-well potentials
in a three-dimensional system . . . . . 197--213
George A. Anastassiou and
Alexander Bendikov A sharp error estimate for the numerical
solution of multivariate Dirichlet
problems . . . . . . . . . . . . . . . . 215--229
O. Renault A new algorithm for computing orthogonal
polynomials . . . . . . . . . . . . . . 231--248
Lee Lorch and
Riccardo Uberti ``Best possible'' upper bounds for the
first positive zeros of Bessel functions
--- the finite part . . . . . . . . . . 249--258
Stanis\law Tokarzewski $N$-point Padé approximants to
real-valued Stieltjes series with
nonzero radii of convergence . . . . . . 259--280
Linhua Xia New methods of computation for coupled
channel equations . . . . . . . . . . . 281--293
S. Sallam and
A. A. Karaballi A quartic $C$ $^3$-spline collocation
method for solving second-order initial
value problems . . . . . . . . . . . . . 295--304
G. Mastroianni and
D. Occorsio Legendre polynomials of the second kind,
Fourier series and Lagrange
interpolation . . . . . . . . . . . . . 305--327
Geno Nikolov On certain definite quadrature formulae 329--343
Carsten Carstensen and
Darius Zarrabi and
Ernst P. Stephan On the $h$-adaptive coupling of FE and
BE for viscoplastic and elasto-plastic
interface problems . . . . . . . . . . . 345--363
Anonymous Author Index to Volume 75 (1996) . . . . 365--366
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
Anonymous Schur parameters, factorization and
dilation problems . . . . . . . . . . . N2
Anonymous Fourier transforms: an introduction for
engineers . . . . . . . . . . . . . . . N2--N3
Anonymous Practical Parallel Programming . . . . . N3
Anonymous Monte Carlo: Concepts, Algorithms, and
Applications . . . . . . . . . . . . . . N3--N4
Anonymous Conference On Numerical and Mathematical
Treatments for Elasticity SCV057SCV,
SCV057SCV19 . . . . . . . . . . . . . . N5--N14
Anonymous Editorial Board . . . . . . . . . . . . iii--iv
Luca Gemignani A fast iterative method for determining
the stability of a polynomial . . . . . 1--11
A. Messaoudi Recursive interpolation algorithm: a
formalism for solving systems of linear
equations --- I. Direct methods . . . . 13--30
A. Messaoudi Recursive interpolation algorithm: a
formalism for solving systems of linear
equations --- II. Iterative methods . . 31--53
R. Bertschy and
P. A. Monney A generalization of the algorithm of
Heidtmann to non-monotone formulas . . . 55--76
S. Bellavia and
M. G. Gasparo and
M. Macconi Partially Updated Switching-Method for
systems of nonlinear equations . . . . . 77--88
M. Mitrouli and
N. Karcanias and
C. Koukouvinos Numerical performance of the matrix
pencil algorithm computing the greatest
common divisor of polynomials and
comparison with other matrix-based
methodologies . . . . . . . . . . . . . 89--112
S. Tracogna Implementation of two-step Runge--Kutta
methods for ordinary differential
equations . . . . . . . . . . . . . . . 113--136
Zhi-Zhong Sun A second-order accurate finite
difference scheme for a class of
nonlocal parabolic equations with
natural boundary conditions . . . . . . 137--146
Gamal N. Elnagar and
M. Kazemi Chebyshev spectral solution of nonlinear
Volterra--Hammerstein integral equations 147--158
Fernando Casas Solution of linear partial differential
equations by Lie algebraic methods . . . 159--170
Thomas Schira The remainder term for analytic
functions of Gauss--Lobatto quadratures 171--193
M. Calvo and
J. M. Franco and
J. I. Montijano and
L. Rández Explicit Runge--Kutta methods for
initial value problems with oscillating
solutions . . . . . . . . . . . . . . . 195--212
Stanis\law Lewanowicz Recurrence relations for the connection
coefficients of orthogonal polynomials
of a discrete variable . . . . . . . . . 213--229
C. Dagnino and
P. Lamberti Numerical evaluation of Cauchy principal
value integrals based on local spline
approximation operators . . . . . . . . 231--238
A. Chakrabarti and
Hamsapriye Modified quadrature rules based on a
generalised mixed interpolation formula 239--254
A. B. Olde Daalhuis Hyperterminants $I$ . . . . . . . . . . 255--264
M. Zähle and
H. Ziezold Fractional derivatives of
Weierstrass-type functions . . . . . . . 265--275
P. W. Hemker A singularly perturbed model problem for
numerical computation . . . . . . . . . 277--285
Ezio Venturino On the (0.4) lacunary interpolation
problem and some related questions . . . 287--300
Dongryeol Kim and
Jinsoo Kim and
Dongwoo Sheen Absorbing boundary conditions for wave
propagation in viscoelastic media . . . 301--314
K. Pan On the convergence of rational functions
orthogonal on the unit circle . . . . . 315--324
Jun Zhang A cost-effective multigrid projection
operator . . . . . . . . . . . . . . . . 325--333
Anonymous Author index volume 76 (1996) . . . . . 335--336
Anonymous Editorial Board . . . . . . . . . . . . v--vi
A. Bultheel and
M. Van Barel Preface . . . . . . . . . . . . . . . . 1--3
Bernhard Beckermann and
George Labahn Recursiveness in matrix rational
interpolation problems . . . . . . . . . 5--34
C. Brezinski Projection methods for linear systems 35--51
A. Bultheel and
C. Díaz-Mendoza and
P. González-Vera and
R. Orive Quadrature on the half-line and
two-point Padé approximants to Stieltjes
functions --- II: Convergence . . . . . 53--76
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad Rates of convergence of multipoint
rational approximants and quadrature
formulas on the unit circle . . . . . . 77--101
Maria Rosaria Capobianco and
Giuliana Criscuolo and
Peter Junghanns A fast algorithm for Prandtl's
integro-differential equation . . . . . 103--128
Bernd Fritzsche and
Stefan Fuchs and
Bernd Kirstein On Arov-normalized $ j_{p q}$-elementary
factors . . . . . . . . . . . . . . . . 129--156
B. Fritzsche and
B. Kirstein and
K. Müller A block completion problem for
matrix-valued inner functions . . . . . 157--172
P. R. Graves-Morris and
D. E. Roberts Problems and progress in vector Padé
approximation . . . . . . . . . . . . . 173--200
Peter Junghanns and
Uwe Luther Cauchy singular integral equations in
spaces of continuous functions and
methods for their numerical solution . . 201--237
Ana C. Matos Integral representation of the error and
asymptotic error bounds for generalized
Padé type approximants . . . . . . . . . 239--254
Olav Njåstad and
Haakon Waadeland Asymptotic properties of zeros of
orthogonal rational functions . . . . . 255--275
Pierre Verlinden Acceleration of Gauss--Legendre
quadrature for an integrand with an
endpoint singularity . . . . . . . . . . 277--287
Anonymous Author index volume 77 (1997) . . . . . 289--289
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
John Michael McNamee A supplementary bibliography on roots of
polynomials . . . . . . . . . . . . . . 1--1
Yair Shapira Algebraic interpretation of continued
fractions . . . . . . . . . . . . . . . 3--8
W. O. Riha and
J. Walker An efficient algorithm for the
Lagrangean dual of nonlinear knapsack
problems with additional nested
constraints . . . . . . . . . . . . . . 9--18
M. Aslam Chaudhry and
Asghar Qadir and
M. Rafique and
S. M. Zubair Extension of Euler's beta function . . . 19--32
K. Abdella and
H. Rasmussen Electrohydrodynamic instability of two
superposed fluids in normal electric
fields . . . . . . . . . . . . . . . . . 33--61
Donald W. Fausett and
Charles T. Fulton and
Hany Hashish Improved parallel $ Q R $ method for
large least squares problems involving
Kronecker products . . . . . . . . . . . 63--78
E. D. Krupnikov and
K. S. Kölbig Some special cases of the generalized
hypergeometric function $_{q + 1}F_q$ 79--95
Julio Abad and
Javier Sesma A new expansion of the confluent
hypergeometric function in terms of
modified Bessel functions . . . . . . . 97--101
A. Chakrabarti and
Hamsapriye On modified Gregory rules based on a
generalised mixed interpolation formula 103--124
Avram Sidi Computation of infinite integrals
involving Bessel functions of arbitrary
order by the $D$-transformation . . . . 125--130
David Levin Analysis of a collocation method for
integrating rapidly oscillatory
functions . . . . . . . . . . . . . . . 131--138
A. I. Aptekarev and
A. Branquinho and
F. Marcellán Toda-type differential equations for the
recurrence coefficients of orthogonal
polynomials and Freud transformation . . 139--160
T. Van Hecke and
M. Van Daele and
G. Vanden Berghe and
H. De Meyer A mono-implicit Runge--Kutta--Nyström
modification of the Numerov method . . . 161--177
H. Bavinck Linear perturbations of differential of
difference operators with polynomials as
eigenfunctions . . . . . . . . . . . . . 179--195
Pierluigi Amodio and
Luigi Brugnano Parallel implementation of block
boundary value methods for ODEs . . . . 197--211
H. Ta\cseli and
M. Demiralp A new approach to the classical Stokes
flow problem: Part I. Methodology and
first-order analytical results . . . . . 213--232
H. Ta\cseli and
R. Eid A new approach to the classical Stokes
flow problem: Part II. Series solutions
and higher-order applications . . . . . 233--254
Giuliana Criscuolo A new algorithm for Cauchy principal
value and Hadamard finite-part integrals 255--275
I. H. Jung and
K. H. Kwon and
G. J. Yoon Differential equations of infinite order
for Sobolev-type orthogonal polynomials 277--293
K. H. Kwon and
B. H. Yoo and
G. J. Yoon A characterization of Hermite
polynomials . . . . . . . . . . . . . . 295--299
Yuhe Ren The approximate regularization of
index-2 differential-algebraic problems 301--310
Guang-Di Hu and
Guang-Da Hu and
Ming-Zhu Liu Estimation of numerically stable
step-size for neutral delay-differential
equations via spectral radius . . . . . 311--316
D. Juki\'c and
R. Scitovski Existence of optimal solution for
exponential model by least squares . . . 317--328
M. S. Abou El-Seoud On the asymptotic convergence of a
collocation method for some boundary
integral equations of the first kind . . 329--353
Jean-Paul Berrut and
Hans D. Mittelmann Matrices for the direct determination of
the barycentric weights of rational
interpolation . . . . . . . . . . . . . 355--370
Shahid S. Siddiqi and
E. H. Twizell Spline solutions of linear twelfth-order
boundary-value problems . . . . . . . . 371--390
Anonymous Editorial Board . . . . . . . . . . . . v--vi
Ping Zhou Explicit construction of multivariate
Padé approximants . . . . . . . . . . . . 1--17
Gamal N. Elnagar State-control spectral Chebyshev
parameterization for linearly
constrained quadratic optimal control
problems . . . . . . . . . . . . . . . . 19--40
Takuya Tsuchiya and
Ivo Babuska A priori error estimates of finite
element solutions of parametrized
strongly nonlinear boundary value
problems . . . . . . . . . . . . . . . . 41--66
Annamaria Palamara Orsi A note on spline approximation for
Hadamard finite-part integrals . . . . . 67--73
Jürgen Eichenauer-Herrmann Quadratic congruential pseudorandom
numbers: Distribution of lagged pairs 75--85
L. Gr Ixaru and
M. Rizea Four step methods for $ y'' = f(x, y) $ 87--99
S. Zhou and
D. R. Westbrook Numerical solutions of the thermistor
equations . . . . . . . . . . . . . . . 101--118
Victor Adamchik On Stirling numbers and Euler sums . . . 119--130
JoséM Gutiérrez A new semilocal convergence theorem for
Newton's method . . . . . . . . . . . . 131--145
Morten M. T. Wang and
Tony W. H. Sheu An element-by-element BICGSTAB iterative
method for three-dimensional steady
Navier--Stokes equations . . . . . . . . 147--165
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
Anonymous Polynomial Algorithms in Computer
Algebra . . . . . . . . . . . . . . . . N2
Anonymous Combinational Convexity and Algebraic
Geometry . . . . . . . . . . . . . . . . N2--N3
Anonymous Symbolic Integration I: Transcendental
Functions . . . . . . . . . . . . . . . N3--N4
Anonymous An Introduction To Different Equations N4
Anonymous A Polynomial Approach To Linear Algebra N4
Anonymous Conferences SCV164S, SCV164SCV,
SCV164SCV12 . . . . . . . . . . . . . . N5--N16
A. Sesappa Rai and
U. Ananthakrishnaiah Obrechkoff methods having additional
parameters for general second-order
differential equations . . . . . . . . . 167--182
Harold Exton Some new summation formulae for the
generalised hypergeometric function of
higher order . . . . . . . . . . . . . . 183--187
T. E. Simos and
P. S. Williams A finite-difference method for the
numerical solution of the Schrödinger
equation . . . . . . . . . . . . . . . . 189--205
Frank Emmerich Equidistribution properties of quadratic
congruential pseudorandom numbers . . . 207--214
Xiao-liang Cheng and
Weimin Han and
Hong-ci Huang Finite element methods for Timoshenko
beam, circular arch and
Reissner--Mindlin plate problems . . . . 215--234
Ioannis K. Argyros Concerning the convergence of inexact
Newton methods . . . . . . . . . . . . . 235--247
K. Pan On Sobolev orthogonal polynomials with
coherent pairs The Jacobi case . . . . . 249--262
M. S. H. Khiyal and
R. M. Thomas Variable-order, variable-step methods
for second-order initial-value problems 263--276
Georgios Georgiou and
Andreas Boudouvis and
Andreas Poullikkas Comparison of two methods for the
computation of singular solutions in
elliptic problems . . . . . . . . . . . 277--287
E. G. Ladopoulos Collocation-approximation methods for
nonlinear singular integrodifferential
equations in Banach spaces . . . . . . . 289--297
Yongzhong Song On the convergence of the MAOR method 299--317
Hans-Jörg Wenz Note on fast evaluation of best $ L_2 $
approximation polynomials on simplices 319--322
Anonymous Author index volume 79 (1997) . . . . . 323--323
Anonymous Editorial Board . . . . . . . . . . . . v--vi
K. H. Kwon and
D. W. Lee and
L. L. Littlejohn Differential equations having orthogonal
polynomial solutions . . . . . . . . . . 1--16
Rigoberto Medina Stability and asymptotic behavior of
difference equations . . . . . . . . . . 17--30
Andrew Acker and
Ercan Kadakal and
Kenneth G. Miller A trial-free-boundary method for
computing Batchelor flows . . . . . . . 31--48
Qin Sheng and
Ravi P. Agarwal Solutions of $n$-point boundary value
problems associated with nonlinear
summary difference equations . . . . . . 49--70
Gu Chuanqing Bivariate Thiele-type matrix-valued
rational interpolants . . . . . . . . . 71--82
Allen R. Miller On certain Schlömilch-type series . . . . 83--95
A. A. Karaballi and
S. Sallam Lacunary interpolation by quartic
splines on uniform meshes . . . . . . . 97--104
Xiaojun Chen Superlinear convergence of smoothing
quasi-Newton methods for nonsmooth
equations . . . . . . . . . . . . . . . 105--126
T. M. Dunster Error analysis in a uniform asymptotic
expansion for the generalised
exponential integral . . . . . . . . . . 127--161
M. S. Petkovi\'c and
N. Kjurkchiev A note on the convergence of the
Weierstrass SOR method for polynomial
roots . . . . . . . . . . . . . . . . . 163--168
Christian Radoux Acknowledgment of priority . . . . . . . 169--169
P. de Oliveira and
F. Patricio Monotonicity on nonuniform grids . . . . 171--181
Luciano Galeone and
Roberto Garrappa Convergence analysis of time-point
relaxation iterates for linear systems
of differential equations . . . . . . . 183--195
S. Clement Cooper and
Philip E. Gustafson Extremal properties of strong quadrature
weights and maximal mass results for
truncated strong moment problems . . . . 197--208
Bahman Kalantari and
Iraj Kalantari and
Rahim Zaare-Nahandi A basic family of iteration functions
for polynomial root finding and its
characterizations . . . . . . . . . . . 209--226
D. D. Ang and
A. Pham Ngoc Dinh and
D. N. Thanh A bidimensional inverse Stefan problem:
Identification of boundary value . . . . 227--240
Owe Axelsson and
Hao Lu A survey of some estimates of
eigenvalues and condition numbers for
certain preconditioned matrices . . . . 241--264
M. V. Solodov and
B. F. Svaiter Descent methods with linesearch in the
presence of perturbations . . . . . . . 265--275
Philip J. Aston and
Alastair Spence and
Wu Wei Hopf bifurcation near a double singular
point . . . . . . . . . . . . . . . . . 277--297
Igor P. Boglaev Iterative algorithms of domain
decomposition for the solution of a
quasilinear elliptic problem . . . . . . 299--316
Zhong-Zhi Bai On the convergence of parallel chaotic
nonlinear multisplitting Newton-type
methods . . . . . . . . . . . . . . . . 317--334
Hideaki Kaneko and
Richard D. Noren and
Peter A. Padilla Superconvergence of the iterated
collocation methods for Hammerstein
equations . . . . . . . . . . . . . . . 335--349
Stanis\law Lewanowicz On the fourth-order difference equation
for the associated Meixner polynomials 351--358
Anonymous Author index volume 80 (1997) . . . . . 359--359
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Zi-Cai Li Penalty combinations of the
Ritz--Galerkin and finite difference
methods for singularity problems . . . . 1--17
Lei Zhou and
Tian-Xiao Zhou Stabilized finite element methods for
the velocity-pressure-stress formulation
of incompressible flows Nonlinear model 19--28
M. Diligenti and
G. Monegato Integral evaluation in the BEM solution
of (hyper)singular integral equations.
$2$D problems on polygonal domains . . . 29--57
Zhao Weili Singular perturbations for nonlinear
Robin problems . . . . . . . . . . . . . 59--74
Andrzej Drozdowicz and
Ma\lgorzata Migda Asymptotic behavior of solutions of the
$m$-th-order nonhomogeneous difference
equations . . . . . . . . . . . . . . . 75--81
Sotirios E. Notaris Interpolatory quadrature formulae with
Chebyshev abscissae of the third or
fourth kind . . . . . . . . . . . . . . 83--99
Francisco Pérez Acosta Boundedness of minimax series from
values of the function and its
derivative . . . . . . . . . . . . . . . 101--106
W. Schindler On the efficient simulation of a
particular class of random rotations
relevant to computer graphics . . . . . 107--114
J. M. Franco and
J. F. Palacian High order adaptive methods of
Nyström--Cowell type . . . . . . . . . . 115--134
S. Kutluay and
A. R. Bahadir and
A. Özdes The numerical solution of one-phase
classical Stefan problem . . . . . . . . 135--144
Young Joon Ahn and
Hong Oh Kim Approximation of circular arcs by Bézier
curves . . . . . . . . . . . . . . . . . 145--163
André Draux and
Charaf El Hami Hermite--Sobolev and closely connected
orthogonal polynomials . . . . . . . . . 165--179
J. C. Butcher and
Z. Jackiewicz and
H. D. Mittelmann A nonlinear optimization approach to the
construction of general linear methods
of high order . . . . . . . . . . . . . 181--196
J. M. Franco and
I. Gómez and
L. Rández SDIRK methods for stiff ODEs with
oscillating solutions . . . . . . . . . 197--209
Andrei Martínez-Finkelshtein and
Juan J. Moreno-Balcázar and
Héctor Pijeira-Cabrera Strong asymptotics for
Gegenbauer--Sobolev orthogonal
polynomials . . . . . . . . . . . . . . 211--216
Francisco Marcellán and
Andrei Martínez-Finkelshtein and
Juan J. Moreno-Balcázar Asymptotics of Sobolev orthogonal
polynomials for symmetrically coherent
pairs of measures with compact support 217--227
R. K. Mohanty Order $ h^4 $ difference methods for a
class of singular two space elliptic
boundary value problems . . . . . . . . 229--247
Bastien Fernandez and
Maciej Pindor On the eigenvalues of some transfer
matrices . . . . . . . . . . . . . . . . 249--255
K. Jbilou and
H. Sadok Hybrid vector transformations . . . . . 257--267
David Colton and
Rainer Kress and
Peter Monk Inverse scattering from an orthotropic
medium . . . . . . . . . . . . . . . . . 269--298
D. S. Meek and
D. J. Walton Geometric Hermite interpolation with
Tschirnhausen cubics . . . . . . . . . . 299--309
Francisco-Javier Sayas Fully discrete Galerkin methods for
systems of boundary integral equations 311--331
B. M. Brown and
M. S. P. Eastham and
D. K. R. McCormack Spectral concentration and rapidly
decaying potentials . . . . . . . . . . 333--348
E. C. Hylin and
J. M. McDonough Derivation of projection methods from
formal integration of the Navier--Stokes
equations . . . . . . . . . . . . . . . 349--374
Anonymous Author index volume 81 (1997) . . . . . 375--376
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
Anonymous Animating calculus . . . . . . . . . . . N2
Anonymous Handbook of numerical analysis, Vol. III N3--N4
Anonymous Handbook of numerical analysis, Vol. IV N4
Anonymous Chain-scattering approach to $ H^\infty
$-control . . . . . . . . . . . . . . . N4--N5
Anonymous Monte Carlo and quasi-Monte Carlo
methods in scientific computing . . . . N5--N6
Anonymous Foundation of computational mathematics N6--N7
Anonymous Linear integral equations (Theory and
technique), second edition . . . . . . . N7--N8
Anonymous ECC97 4th European Control Conference N8--N9
Anonymous MODCOM-14: The 14th International
Symposium of Continuum Mechanics Models N9
Anonymous HPOPT97: Second Workshop on High
Performance Optimization Techniques . . N10
Anonymous From Local to Global Optimization . . . N10
Anonymous 15th IMACS World Congress on Scientific
Computation, Modelling and Applied
Mathematics . . . . . . . . . . . . . . N11--N12
Anonymous NUMDIFF-8: Numerical Solution of
Differential and Differential-Algebraic
Equations . . . . . . . . . . . . . . . N12--N13
Anonymous PaCT-97 Fourth International Conference
on Parallel Computing Technologies . . . N13
Anonymous SCAN-97 International Symposium on
Scientific Computing Computer Arithmetic
and Validated Numerics . . . . . . . . . N13--N14
Anonymous SciCADE97 Scientific Computing and
Differential Equations . . . . . . . . . N14--N15
Anonymous CMFT97 Computational Methods and
Function Theory . . . . . . . . . . . . N15--N16
Anonymous ENUMATH 97: Second European Conference
on Numerical Mathematics and Advanced
Applications . . . . . . . . . . . . . . N16
Anonymous ISIP'98 International Symposium on
Inverse Problems in Engineering
Mechanics . . . . . . . . . . . . . . . N16--N17
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N17
Anonymous Editorial Board . . . . . . . . . . . . v--vi
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Preface . . . . . . . . . . . . . . . . 1--2
Mina B. Abd-el-Malek and
Malak N. Makar Nonlinear progressive internal gravity
wave on fluid of trapezoidal bottom . . 3--19
René A\"\id and
Laurent Levacher Numerical investigations on global error
estimation for ordinary differential
equations . . . . . . . . . . . . . . . 21--39
Stephen L. Campbell and
Wies\law Marszalek DAEs arising from traveling wave
solutions of PDEs . . . . . . . . . . . 41--58
Yang Chen and
Mourad E. H. Ismail Asymptotics of extreme zeros of the
Meixner--Pollaczek polynomials . . . . . 59--78
G. Denk and
Chr. Penski Integration schemes for highly
oscillatory DAEs with applications to
circuit simulation . . . . . . . . . . . 79--91
Kai Diethelm New error bounds for modified quadrature
formulas for Cauchy principal value
integrals . . . . . . . . . . . . . . . 93--104
J. A. Ford and
I. A. Moghrabi Alternating multi-step quasi-Newton
methods for unconstrained optimization 105--116
R. Gerstberger and
P. Rentrop Feedforward neural nets as
discretization schemes for ODEs and DAEs 117--128
S. González Pinto and
S. Pérez Rodríguez and
J. I. Montijano Torcal On the numerical solution of stiff IVPs
by Lobatto IIIA Runge--Kutta methods . . 129--148
Philippe Guillaume Nested multivariate Padé approximants . . 149--158
M. Günther and
M. Hoschek ROW methods adapted to electric circuit
simulation packages . . . . . . . . . . 159--170
JoséM. Gutiérrez and
Miguel A. Hernández Third-order iterative methods for
operators with bounded second derivative 171--183
Vincent Heuveline and
Miloud Sadkane Parallel computation of polynomials with
minimal uniform norm and its application
to large eigenproblems . . . . . . . . . 185--198
Werner Hürlimann Best bounds for expected financial
payoffs $I$ algorithmic evaluation . . . 199--212
Werner Hürlimann Best bounds for expected financial
payoffs II: Applications . . . . . . . . 213--227
Masao Igarashi and
Tjalling Ypma Empirical versus asymptotic rate of
convergence of a class of methods for
solving a polynomial equation . . . . . 229--237
Y. J. Kim and
K. H. Kwon and
J. K. Lee Orthogonal polynomials in two variables
and second-order partial differential
equations . . . . . . . . . . . . . . . 239--260
L. Lopez and
C. Mastroserio and
T. Politi Variable step-size techniques in
continuous Runge--Kutta methods for
isospectral dynamical systems . . . . . 261--278
E. Maisse and
J. Pousin Diffusion and dissolution/precipitation
in an open porous reactive medium . . . 279--290
Marin Marin On weak solutions in elasticity of
dipolar bodies with voids . . . . . . . 291--297
Annamaria Mazzia and
Francesca Mazzia High-order transverse schemes for the
numerical solution of PDEs . . . . . . . 299--311
Jirí Nedoma Finite element approximation of a
coupled contact Stefan-like problem
arising from the time discretization in
deformation theory of thermo-plasticity 313--331
M. R. M. Razali and
M. Z. Nashed and
A. H. M. Murid Numerical conformal mapping via the
Bergman kernel . . . . . . . . . . . . . 333--350
Venkat V. S. S. Sastry Graphical user interfaces for numerical
libraries . . . . . . . . . . . . . . . 351--366
P. A. Selting and
Q. Zheng Numerical stability analysis of
oscillating integrated circuits . . . . 367--378
J. Steelant and
E. Dick and
S. Pattijn Multigrid methods for compressible
Navier--Stokes equations in low-speed
flows . . . . . . . . . . . . . . . . . 379--388
Howard Swann Error estimates using the cell
discretization method for steady-state
convection--diffusion equations . . . . 389--405
P. J. van der Houwen and
E. Messina Parallel linear system solvers for
Runge--Kutta--Nyström methods . . . . . . 407--422
H. van der Ven and
B. E. Niemann-Tuitman and
A. E. P. Veldman An explicit multi-time-stepping
algorithm for aerodynamic flows . . . . 423--431
P. Wilders and
G. Fotia Distributed implicit stepping with
unstructured finite volumes for
$2$D-transport . . . . . . . . . . . . . 433--446
Jet Wimp and
P. McCabe and
J. N. L. Connor Computation of Jacobi functions of the
second kind for use in nearside-farside
scattering theory . . . . . . . . . . . 447--464
Y. Yamagishi Stable spiral orbits of SOR
Durand--Kerner's method applied to the
equation $ x^d = 0 $ . . . . . . . . . . 465--475
Anonymous Author index volume 82 (1997) . . . . . 477--478
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
You Zhao-Yong and
Wang Chuan-Long A concept of nonlinear block diagonal
dominance . . . . . . . . . . . . . . . 1--10
Per Lötstedt and
Per Carlbom Stability and non-normality of the $k$-$
\epsilon $ equations . . . . . . . . . . 11--37
M. Iqbal On spline regularized inversion of noisy
Laplace transforms . . . . . . . . . . . 39--54
Francisco Pérez Acosta On certain Banach spaces in connection
with interpolation theory . . . . . . . 55--69
Benqi Guo and
Weiming Cao An iterative and parallel solver based
on domain decomposition for the $h$- $p$
version of the finite element method . . 71--85
Michael Hack Transformation of uniformly distributed
particle ensembles . . . . . . . . . . . 87--113
Hisashi Kotakemori and
Hiroshi Niki and
Naotaka Okamoto Convergence of a preconditioned
iterative method for $H$-matrices . . . 115--118
Harold Exton On the reducibility of the Kampé de Fériet
function . . . . . . . . . . . . . . . . 119--121
Jean-Paul Allouche A remark on Apéry's numbers . . . . . . . 123--125
F. Calogero Remarkable matrices and trigonometric
identities . . . . . . . . . . . . . . . 127--130
J. A. Ezquerro and
M. A. Hernández Relaxing convergence conditions for an
inverse-free Jarratt-type approximation 131--135
M. Benzi Remarks on the numerical solution of
certain linear complementarity problems 137--143
Anonymous Erratum: Addenda and Errata to ``Linear
perturbations of differential or
difference operators with polynomials as
eigenfunctions'' [J. Comput. Appl. Math.
\bf 78 (1997) 179--195] . . . . . . . . 145--146
Ruibin Qu and
Ravi P. Agarwal A collocation method for solving a class
of singular nonlinear two-point boundary
value problems . . . . . . . . . . . . . 147--163
Michael Griebel and
Gerhard Starke Multilevel preconditioning based on
discrete symmetrization for
convection--diffusion equations . . . . 165--183
J. Van der Jeugt and
S. N. Pitre and
K. Srinivasa Rao Transformation and summation formulas
for double hypergeometric series . . . . 185--193
Krystyna Sty\'s and
Tadeusz Sty\'s An optimal algorithm for certain
boundary value problem . . . . . . . . . 195--203
Thomas K. DeLillo and
Alan R. Elcrat and
John A. Pfaltzgraff Numerical conformal mapping methods
based on Faber series . . . . . . . . . 205--236
D. D. Bainov and
V. A. Petrov and
V. S. Proytcheva Existence and asymptotic behaviour of
nonoscillatory solutions of second-order
neutral differential equations with
``maxima'' . . . . . . . . . . . . . . . 237--249
Tewodros Amdeberhan and
Melkamu Zeleke On injectivity of the combinatorial
Radon transform of order five . . . . . 251--255
K. H. Kwon and
G. J. Yoon Symmetrizability of differential
equations having orthogonal polynomial
solutions . . . . . . . . . . . . . . . 257--268
M. P. Laburta Starting algorithms for IRK methods . . 269--288
Anonymous Author index volume 83 (1997) . . . . . 289--289
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
H. I. Siyyam and
M. I. Syam The modified trapezoidal rule for line
integrals . . . . . . . . . . . . . . . 1--14
Srebra B. Stoyanova Cubature formulae of the seventh degree
of accuracy for the hypersphere . . . . 15--21
Bert Jüttler Surface fitting using convex
tensor-product splines . . . . . . . . . 23--44
J. Nedoma On a coupled Stefan-like problem in
thermo-visco-plastic rheology . . . . . 45--80
Ryszard Klempous and
Jerzy Kotowski and
Jan Nikodem and
J\kedrzej Ulasiewicz Optimization algorithms of operative
control in water distribution systems 81--99
Amnuay Kananthai On the distribution related to the
ultra-hyperbolic equations . . . . . . . 101--106
Bernhard Klinger and
Robert F. Tichy Polynomial discrepancy of sequences . . 107--117
Jiuhua Chen The $p$-version of the finite element
method for a singularly perturbed
boundary value problem . . . . . . . . . 119--135
Gu Chuanqing Multivariate generalized inverse
vector-valued rational interpolants . . 137--146
A. M. Abdel-Hafz and
A. H. Essawy and
M. A. M. Moubark The diffraction of Kelvin wave due to an
island . . . . . . . . . . . . . . . . . 147--160
Baruch Cahlon and
Darrell Schmidt Stability criteria for certain delay
integral equations of Volterra type . . 161--188
Katarzyna P\kaczkowska-Prz\kadka Difference inequalities generated by
impulsive parabolic
differential-functional problems . . . . 189--206
M. C. Pardo A comparison of some estimators of the
mixture proportion of mixed normal
distributions . . . . . . . . . . . . . 207--217
I.-G. E. Kordonis and
Ch. G. Philos and
I. K. Purnaras On the oscillation of some linear
difference equations with periodic
coefficients . . . . . . . . . . . . . . 219--241
Yu-Ling Lai and
Wen-Wei Lin and
Dan'l Pierce Conjugate gradient and minimal residual
methods for solving symmetric indefinite
systems . . . . . . . . . . . . . . . . 243--256
E. Godoy and
A. Ronveaux and
A. Zarzo and
I. Area Minimal recurrence relations for
connection coefficients between
classical orthogonal polynomials:
Continuous case . . . . . . . . . . . . 257--275
Jacques J. B. de Swart A simple ODE solver based on $2$-stage
Radau IIA . . . . . . . . . . . . . . . 277--280
Anonymous Author index volume 84 (1997) . . . . . 281--281
Anonymous Editorial Board . . . . . . . . . . . . iii--iv
H. I. Siyyam and
M. I. Syam An accurate solution of the Poisson
equation by the Chebyshev--Tau method 1--10
Paola Baratella A note on the convergence of product
integration and Galerkin method for
weakly singular integral equations . . . 11--18
Xiao-liang Cheng and
Weimin Han and
Hong-ci Huang Analysis of some mixed elements for the
Stokes problem . . . . . . . . . . . . . 19--35
M. Camacho and
P. González-Vera Rational functions associated with
double infinite sequences of complex
numbers . . . . . . . . . . . . . . . . 37--51
Yu-lin Xu Fast evaluation of Gaunt coefficients:
recursive approach . . . . . . . . . . . 53--65
Alexei Zhedanov Rational spectral transformations and
orthogonal polynomials . . . . . . . . . 67--86
R. Wong and
J.-M. Zhang Asymptotic expansions of the generalized
Bessel polynomials . . . . . . . . . . . 87--112
Borislav Bojanov and
Guergana Petrova On minimal cubature formulae for product
weight functions . . . . . . . . . . . . 113--121
A. Cachafeiro and
C. Suárez About semiclassical polynomials on the
unit circle corresponding to the class
(2,2) . . . . . . . . . . . . . . . . . 123--144
Eleonora Messina and
Jacques J. B. de Swart and
Wolter A. van der Veen Parallel iterative linear solvers for
multistep Runge--Kutta methods . . . . . 145--167
S. B. Yakubovich Index integral transformations of
Titchmarsh type . . . . . . . . . . . . 169--179
D. Vekemans Algorithm for the $E$-prediction . . . . 181--202
A. Chandna Flow past an elliptic cylinder . . . . . 203--214
Bo Liu On the linear finite element
approximation for two-point boundary
value problems . . . . . . . . . . . . . 215--223
Zhang Chengjian and
Zhou Shuzi Nonlinear stability and $D$-convergence
of Runge--Kutta methods for delay
differential equations . . . . . . . . . 225--237
Miyoung Lee and
Fabio A. Milner Mixed finite element methods for
nonlinear elliptic problems: the $h$-
$p$ version . . . . . . . . . . . . . . 239--261
Ping Zhu On Birkhoff interpolation by polynomials
in several variables . . . . . . . . . . 263--270
Allen R. Miller On the Mellin transform of products of
Bessel and generalized hypergeometric
functions . . . . . . . . . . . . . . . 271--286
Eldar Giladi and
Joseph B. Keller Iterative solution of elliptic problems
by approximate factorization . . . . . . 287--313
Francisco Pérez Acosta Best polynomial approximation in Besov
spaces . . . . . . . . . . . . . . . . . 315--323
Miguel Angel Sanchis-Lozano Simple connections between generalized
hypergeometric series and dilogarithms 325--331
J. A. Ferreira On the convergence on nonrectangular
grids . . . . . . . . . . . . . . . . . 333--344
Thor Gjesdal Smoothing analysis of multicolour
pattern schemes . . . . . . . . . . . . 345--350
Yair Shapira Note on the multigrid $W$-cycle . . . . 351--353
Anonymous Author index volume 85 (1997) . . . . . 355--355
Anonymous Editorial Board . . . . . . . . . . . . v--vi
Anonymous Preface . . . . . . . . . . . . . . . . 1--1
Zhaojun Bai and
Antonio Orlandi and
William T. Smith Moment matching method for numerical
solution of MTL equations in
interconnect analysis . . . . . . . . . 3--16
Peter Benner and
Volker Mehrmann and
Hongguo Xu A new method for computing the stable
invariant subspace of a real Hamiltonian
matrix . . . . . . . . . . . . . . . . . 17--43
Jean-Paul Berrut The barycentric weights of rational
interpolation with prescribed poles . . 45--52
A. Bunse-Gerstner and
H. Faßbender Error bounds in the isometric Arnoldi
process . . . . . . . . . . . . . . . . 53--72
D. Calvetti and
N. Levenberg and
L. Reichel Iterative methods for $X$- AXB = $C$ . . 73--101
D. Calvetti and
L. Reichel Factorizations of Cauchy matrices . . . 103--123
Augustin A. Dubrulle A $ Q R $ algorithm with variable
iteration multiplicity . . . . . . . . . 125--139
L. Elsner and
A. Fasse and
E. Langmann A divide-and-conquer method for the
tridiagonal generalized eigenvalue
problem . . . . . . . . . . . . . . . . 141--148
Leonid Faybusovich Linear systems in Jordan algebras and
primal-dual interior-point algorithms 149--175
Leslie V. Foster The growth factor and efficiency of
Gaussian elimination with rook pivoting 177--194
K. Gates and
W. B. Gragg Notes on $ T Q R $ algorithms . . . . . 195--203
Walter Gautschi and
Gradimir V. Milovanovic $S$-orthogonality and construction of
Gauss--Turán-type quadrature formulae . . 205--218
Marlis Hochbruck Further optimized look-ahead recurrences
for adjacent rows in the Padé table and
Toeplitz matrix factorizations . . . . . 219--236
A. Melman A numerical comparison of methods for
solving secular equations . . . . . . . 237--249
Charles A. Micchelli and
Yuesheng Xu and
Yunhe Zhao Wavelet Galerkin methods for second-kind
integral equations . . . . . . . . . . . 251--270
M. R. Osborne Cyclic reduction, dichotomy, and the
estimation of differential equations . . 271--286
Herbert Stahl The convergence of diagonal Padé
approximants and the Padé Conjecture . . 287--296
Frank Stenger Matrices of Sinc methods . . . . . . . . 297--310
Marc Van Barel and
Adhemar Bultheel Look-ahead methods for block Hankel
systems . . . . . . . . . . . . . . . . 311--333
David S. Watkins Unitary orthogonalization processes . . 335--345
Jacques J. B. de Swart and
Gustaf Söderlind On the construction of error estimators
for implicit Runge--Kutta methods . . . 347--358
M. R. Crisci and
E. Russo and
A. Vecchio Discrete-time waveform relaxation
Volterra--Runge--Kutta methods:
Convergence analysis . . . . . . . . . . 359--374
Stanis\law Lewanowicz Generalized Watson's summation formula
for $_3$ $F$ $_2$ (1) . . . . . . . . . 375--386
Edmond Chow and
Yousef Saad Experimental study of ILU
preconditioners for indefinite matrices 387--414
B. M. Brown and
M. S. P. Eastham and
D. K. R. McCormack Spectral concentration and perturbed
discrete spectra . . . . . . . . . . . . 415--425
Anonymous Author index volume 86 (1997) . . . . . 427--427
Anonymous Congress announcement . . . . . . . . . 429--429
Anonymous Editional Board . . . . . . . . . . . . ii--iii
Pierluigi Amodio and
Luigi Brugnano A note on the efficient implementation
of implicit methods for ODEs . . . . . . 1--9
J. R. Rice and
E. A. Vavalis and
Daoqi Yang Analysis of a nonoverlapping domain
decomposition method for elliptic
partial differential equations . . . . . 11--19
Joan-Josep Climent and
Michael Neumann and
Avram Sidi A semi-iterative method for real
spectrum singular linear systems with an
arbitrary index . . . . . . . . . . . . 21--38
Suh-Yuh Yang and
Jinn-Liang Liu Least-squares finite element methods for
the elasticity problem . . . . . . . . . 39--60
Liliana Borcea and
George C. Papanicolaou A hybrid numerical method for high
contrast conductivity problems . . . . . 61--77
Allen R. Miller A class of generalized hypergeometric
summations . . . . . . . . . . . . . . . 79--85
Francisco Marcellán and
Henk G. Meijer and
Teresa E. Pérez and
Miguel A. Piñar An asymptotic result for
Laguerre--Sobolev orthogonal polynomials 87--94
A. Bultheel and
C. Díaz-Mendoza and
P. González-Vera and
R. Orive Quadrature on the half line and
two-point Padé approximants to Stieltjes
functions. Part III. The unbounded case 95--117
J. M. Franco and
I. Gomez Two three-parallel and three-processor
SDIRK methods for stiff initial-value
problems . . . . . . . . . . . . . . . . 119--134
Pierluigi Amodio and
Francesca Mazzia Numerical solution of differential
algebraic equations and computation of
consistent initial/boundary conditions 135--146
H. De Meyer and
G. Vanden Berghe and
T. Van Hecke and
M. Van Daele On the generation of mono-implicit
Runge--Kutta--Nyström methods by
mono-implicit Runge--Kutta methods . . . 147--167
Ibrahim Coulibaly and
Christian Lécot Particle simulations of the Kac model of
the Boltzmann equation . . . . . . . . . 169--193
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N16
Horst Alzer A harmonic mean inequality for the gamma
function . . . . . . . . . . . . . . . . 195--198
Jacek Gilewicz and
Maciej Pindor Padé approximants and noise: a case of
geometric series . . . . . . . . . . . . 199--214
R. M. Thomas and
T. E. Simos A family of hybrid exponentially fitted
predictor--corrector methods for the
numerical integration of the radial
Schrödinger equation . . . . . . . . . . 215--226
Song Wang An a posteriori error estimate for
finite element approximations of a
singularly perturbed
advection--diffusion problem . . . . . . 227--242
Rosemary Renaut Stability of a Chebychev pseudospectral
solution of the wave equation with
absorbing boundaries . . . . . . . . . . 243--259
Umberto Amato and
Italia De Feis Convergence for the regularized
inversion of Fourier series . . . . . . 261--284
Z. Jackiewicz and
R. Vermiglio and
M. Zennaro Regularity properties of multistage
integration methods . . . . . . . . . . 285--302
Saara Hyvönen Convergence of the Arnoldi process when
applied to the Picard--Lindelöf iteration
operator . . . . . . . . . . . . . . . . 303--320
I. Area and
E. Godoy and
A. Ronveaux and
A. Zarzo Minimal recurrence relations for
connection coefficients between
classical orthogonal polynomials:
Discrete case . . . . . . . . . . . . . 321--337
Takemitsu Hasegawa Numerical integration of functions with
poles near the interval of integration 339--357
Zhimin Zhang and
Clyde F. Martin Convergence and Gibbs' phenomenon in
cubic spline interpolation of
discontinuous functions . . . . . . . . 359--371
M. C. López de Silanes Convergence and error estimates for (
$m$, $l$, $s$ )-splines . . . . . . . . 373--384
Anonymous Author index volume 87 (1997) . . . . . 385--386
Anonymous Editorial Board . . . . . . . . . . . . v--vi
Ravi P. Agarwal Preface . . . . . . . . . . . . . . . . 1--2
Ravi P. Agarwal and
Fu-Hsiang Wong Existence of positive solutions for
non-positive higher-order BVPs . . . . . 3--14
Patricia J. Y. Wong and
Ravi P. Agarwal On eigenvalue intervals and twin
eigenfunctions of higher-order boundary
value problems . . . . . . . . . . . . . 15--43
Leung-Fu Cheung and
Chun-Kong Law and
Man-Chun Leung Uniqueness of positive solutions to the
rotationally symmetric $p$-harmonic map
equations . . . . . . . . . . . . . . . 45--56
Johnny Henderson and
William Yin Singular ( $k$, $n$- $k$ ) boundary
value problems between conjugate and
right focal . . . . . . . . . . . . . . 57--69
Paul W. Eloe Positive solutions of boundary-value
problems for disfocal ordinary
differential equations . . . . . . . . . 71--78
Wanbiao Ma and
Yasuhiro Takeuchi Stability analysis on a predator--prey
system with distributed delays . . . . . 79--94
Drumi Bainov and
Pavel Simeonov Positive solutions of a superlinear
first-order differential equation with
delay depending on the unknown function 95--101
D. Anderson and
R. Avery and
A. Peterson Three positive solutions to a discrete
focal boundary value problem . . . . . . 103--118
R. B. Guenther and
J. W. Lee Heat conduction with radiating boundary
conditions . . . . . . . . . . . . . . . 119--124
C. Maya and
R. Shivaji Instability of nonnegative solutions for
a class of semilinear elliptic boundary
value problems . . . . . . . . . . . . . 125--128
Ravi P. Agarwal and
Donal O'Regan Positive solutions to superlinear
singular boundary value problems . . . . 129--147
Daniel Franco and
Juan J. Nieto Maximum principles for periodic
impulsive first order problems . . . . . 149--159
Yasuhiro Furusho and
Kusano Taka\vsi Positive entire solutions to nonlinear
biharmonic equations in the plane . . . 161--173
V. Lakshmikantham and
Z. Drici Positivity and boundedness of solutions
of impulsive reaction--diffusion
equations . . . . . . . . . . . . . . . 175--184
Josef Diblík Positive and oscillating solutions of
differential equations with delay in
critical case . . . . . . . . . . . . . 185--202
John V. Baxley and
Stephen B. Robinson Nonlinear boundary value problems for
shallow membrane caps, II . . . . . . . 203--224
C. V. Pao Asymptotic behavior of solutions of
reaction--diffusion equations with
nonlocal boundary conditions . . . . . . 225--238
M. S. Abou-Dina and
F. M. Hassan Generation of waves by a moving plate in
stratified shallow water . . . . . . . . 239--253
Biagio Palumbo A generalization of some inequalities
for the gamma function . . . . . . . . . 255--268
H. Exton New hypergeometric identities arising
from Gauss's second summation theorem 269--274
B. Yildiz and
G. Yagubov On an optimal control problem . . . . . 275--287
L. Gr. Ixaru and
H. De Meyer and
G. Vanden Berghe CP methods for the Schrödinger equation
revisited . . . . . . . . . . . . . . . 289--314
B. P. Sommeijer and
L. F. Shampine and
J. G. Verwer RKC: an explicit solver for parabolic
PDEs . . . . . . . . . . . . . . . . . . 315--326
S. Ponnusamy Close-to-convexity properties of
Gaussian hypergeometric functions . . . 327--337
Manuel Aguirre Téllez The distribution $ \delta^{(k)}(P \pm i
0 - m^2) $ . . . . . . . . . . . . . . . 339--348
Ulla Miekkala Remarks on waveform relaxation method
with overlapping splittings . . . . . . 349--361
Gamal N. Elnagar and
Mohammad A. Kazemi Pseudospectral Legendre-based optimal
computation of nonlinear constrained
variational problems . . . . . . . . . . 363--375
Driss Beghdadi and
Pascal Maroni On the inverse problem of the product of
a semi-classical form by a polynomial 377--399
Anonymous Author Index Volume 88 (1997) . . . . . 401--402
Anonymous Editorial Board . . . . . . . . . . . . v--vi
Gilles Pag\`es A space quantization method for
numerical integration . . . . . . . . . 1--38
R. K. Mohanty High accuracy difference schemes for a
class of three space dimensional
singular parabolic equations with
variable coefficients . . . . . . . . . 39--51
E. H. Doha The ultraspherical coefficients of the
moments of a general-order derivative of
an infinitely differentiable function 53--72
P. Chartier On diagonally iterated Runge--Kutta
methods for dissipative ODEs . . . . . . 73--85
A. B. Olde Daalhuis Hyperterminants II . . . . . . . . . . . 87--95
Kathy A. Driver and
Nico M. Temme Asymptotics and zero distribution of Padé
polynomials associated with the
exponential function . . . . . . . . . . 97--114
M. M. Chawla and
M. A. Al-Zanaidi A two-stage fourth-order ``almost''
$P$-stable method for oscillatory
problems . . . . . . . . . . . . . . . . 115--118
James H. Bramble and
Tong Sun A locking-free finite element method for
Naghdi shells . . . . . . . . . . . . . 119--133
O. Axelsson and
M. Larin An algebraic multilevel iteration method
for finite element matrices . . . . . . 135--153
Jorge Sánchez-Ruiz and
Jesús S. Dehesa Expansions in series of orthogonal
hypergeometric polynomials . . . . . . . 155--170
Renato Álvarez-Nodarse and
R. J. Yáñez and
Jesús S. Dehesa Modified Clebsch--Gordan-type expansions
for products of discrete hypergeometric
polynomials . . . . . . . . . . . . . . 171--197
Hans Babovsky A constructive approach to steady
nonlinear kinetic equations . . . . . . 199--211
H. Bavinck On the sum of the coefficients of
certain linear differential operators 213--217
F. Diele and
L. Lopez and
T. Politi One step semi-explicit methods based on
the Cayley transform for solving
isospectral flows . . . . . . . . . . . 219--223
C. Dagnino and
S. Perotto and
E. Santi Convergence of rules based on nodal
splines for the numerical evaluation of
certain $2$D Cauchy principal value
integrals . . . . . . . . . . . . . . . 225--235
Wolfdieter Lang On sums of powers of zeros of
polynomials . . . . . . . . . . . . . . 237--256
Kai Diethelm Error bounds for spline-based quadrature
methods for strongly singular integrals 257--261
Youngmok Jeon and
Ha-Jine Kimn New boundary element formulas for plane
elasticity . . . . . . . . . . . . . . . 263--274
Anila Usman and
George Hall Equilibrium states for
predictor--corrector methods . . . . . . 275--308
I. Area and
E. Godoy and
A. Ronveaux and
A. Zarzo Minimal recurrence relations for
connection coefficients between
classical orthogonal polynomials:
Discrete case . . . . . . . . . . . . . 309--325
Anonymous Author index volume 89 (1998) . . . . . 327--327
Anonymous Editorial Board . . . . . . . . . . . . v--vi
A. Hadjidimos and
D. Noutsos and
M. Tzoumas Towards the determination of the optimal
$p$-cyclic SSOR . . . . . . . . . . . . 1--14
JoséL. López Several series containing gamma and
polygamma functions . . . . . . . . . . 15--23
Christian Lécot and
Ibrahim Coulibaly A particle method for some parabolic
equations . . . . . . . . . . . . . . . 25--44
A. Ronveaux and
E. Godoy and
A. Zarzo and
I. Area Fourth-order difference equation for the
first associated of classical discrete
orthogonal polynomials . . . . . . . . . 45--50
H. Bavinck Some new results for Charlier and
Meixner polynomials . . . . . . . . . . 51--56
Wolfram Koepf and
Dieter Schmersau Representations of orthogonal
polynomials . . . . . . . . . . . . . . 57--94
Bao-Feng Feng and
Taketomo Mitsui A finite difference method for the
Korteweg--de Vries and the
Kadomtsev--Petviashvili equations . . . 95--116
Anonymous Book Review: \booktitleAdvance topics in
difference equations: Ravl P. Agarwal
and Patricia J. Y. Wong Kluwer Academic
Publishers, Dordrecht 1997, ISBN:
0-7923-4521-5, 520 pages, Hardbound GBP
146 . . . . . . . . . . . . . . . . . . N2
Anonymous Book Review: \booktitleInternational,
identification and sampling: J. R.
Partington, London Mathematical Society
Monographs, New Series, 17, Oxford
University Press, Oxford, UK, 1997, ISBN
0-19-850024-6, xii + 267 pages, Hardback
GBP 60 . . . . . . . . . . . . . . . . . N2
Anonymous Book Review: \booktitleUsing PLAPACK:
Parallel linear algebra package: R. A.
van de Geijn, The MIT Press, Cambridge,
1997, ISBN 0-262-72026-4, xx + 194
pages, GBP 23.50 paperback . . . . . . . N3
O. V. Davydov and
G. Nürnberger and
F. Zeilfelder Approximation order of bivariate spline
interpolation for arbitrary smoothness 117--134
J. Arvesú and
R. Álvarez-Nodarse and
F. Marcellán and
K. Pan Jacobi--Sobolev-type orthogonal
polynomials: Second-order differential
equation and zeros . . . . . . . . . . . 135--156
Aldo Tagliani Inverse two-sided Laplace transform for
probability density functions . . . . . 157--170
Benito Chen and
Francisco Solis Discretizations of nonlinear
differential equations using explicit
finite order methods . . . . . . . . . . 171--183
I. Babuska and
Jens Hugger and
T. Strouboulis and
K. Copps and
S. K. Gangaraj The asymptotically optimal meshsize
function for bi-p degree interpolation
over rectangular elements . . . . . . . 185--221
S. Tiwari and
A. Klar An adaptive domain decomposition
procedure for Boltzmann and Euler
equations . . . . . . . . . . . . . . . 223--237
M. P. Laburta Construction of starting algorithms for
the RK--Gauss methods . . . . . . . . . 239--261
Lars Petter Endresen and
Jan Myrheim A formula for steplength control in
numerical integration . . . . . . . . . 263--264
Horst Alzer Corrigendum: A harmonic mean inequality
for the gamma function [J. Comput. Appl.
Math. \bf 87 (1997) 195--198] . . . . . 265--265
Anonymous Author index volume 90 (1998) . . . . . 267--267
Anonymous Author index to volumes 81--90 . . . . . 269--285
Anonymous Subject index to volumes 81--90 (1998) 287--308
Anonymous Editorial Board . . . . . . . . . . . . v--vi
A. A. Dorfmann and
A. A. Savvin Water waves diffraction by a submerged
sphere and dual integral transforms . . 1--30
Suliman Al-Homidan Hybrid methods for solving the
educational testing problem . . . . . . 31--45
T. E. Simos An accurate finite difference method for
the numerical solution of the Schrödinger
equation . . . . . . . . . . . . . . . . 47--61
Chuanju Xu and
Yvon Maday A spectral element method for the
time-dependent two-dimensional Euler
equations: applications to flow
simulations . . . . . . . . . . . . . . 63--85
D. D. Bainov and
N. T. Markova and
P. S. Simeonov Asymptotic behaviour of the
nonoscillatory solutions of differential
equations of second order with delay
depending on the unknown function . . . 87--96
E. Godoy and
A. Ronveaux and
A. Zarzo and
I. Area On the limit relations between classical
continuous and discrete orthogonal
polynomials . . . . . . . . . . . . . . 97--105
G. R. Dargahi-Noubary and
Yixun Shi Difference equation models for
estimating athletic records . . . . . . 107--122
Miodrag S. Petkovi\'c and
\Dbaror\dbare D. Herceg On the convergence of Wang--Zheng's
method . . . . . . . . . . . . . . . . . 123--135
Mitsuhiro T. Nakao and
Nobito Yamamoto and
Yoshitaka Watanabe A posteriori and constructive a priori
error bounds for finite element
solutions of the Stokes equations . . . 137--158
Elena Celledoni Discrete QMR and BCG in the numerical
solution of linear systems of ODEs . . . 159--177
Allen R. Miller and
Ira S. Moskowitz On certain generalized incomplete gamma
functions . . . . . . . . . . . . . . . 179--190
François Dubeau $n$-th Root extraction: Double iteration
process and Newton's method . . . . . . 191--198
R. Zvan and
P. A. Forsyth and
K. R. Vetzal Penalty methods for American options
with stochastic volatility . . . . . . . 199--218
J. C. Santos-León Asymptotic expansions for trapezoidal
type product integration rules . . . . . 219--230
Sòren Christiansen Derivation and analytical investigation
of three direct boundary integral
equations for the fundamental biharmonic
problem . . . . . . . . . . . . . . . . 231--247
Brian J. McCartin A model-trust region algorithm utilizing
a quadratic interpolant . . . . . . . . 249--259
Yangfeng Su and
Amit Bhaya and
Eugenius Kaszkurewicz A general asynchronous block iterative
model with related convergence
conditions . . . . . . . . . . . . . . . 261--273
Anonymous Author index volume 91 (1998) . . . . . 275--275
Anonymous Editorial Board . . . . . . . . . . . . v--vi
Elie Leopold Location of the zeros of orthogonal
polynomials with an automatic procedure
$I$ . . . . . . . . . . . . . . . . . . 1--14
I. T. Dimov and
T. T. Dimov and
T. V. Gurov A new iterative Monte Carlo approach for
inverse matrix problem . . . . . . . . . 15--35
Zhilin Li and
Deshen Wang and
Jun Zou Theoretical and numerical analysis on a
thermo-elastic system with
discontinuities . . . . . . . . . . . . 37--58
A. Chakrabarti and
Hamsapriye Derivation of the errors involved in
interpolation and their application to
numerical quadrature formulae . . . . . 59--68
John P. Coleman Mixed interpolation methods with
arbitrary nodes . . . . . . . . . . . . 69--83
H. Bavinck Differential and difference operators
having orthogonal polynomials with two
linear perturbations as eigenfunctions 85--95
Frank G. Lether Shifted rectangular quadrature rule
approximations to Dawson's integral $F$
( $x$ ) . . . . . . . . . . . . . . . . 97--102
M. Foupouagnigni and
W. Koepf and
A. Ronveaux Fourth-order difference equation for the
associated classical discrete orthogonal
polynomials . . . . . . . . . . . . . . 103--108
D. Calvetti and
L. Reichel A hybrid iterative method for symmetric
indefinite linear systems . . . . . . . 109--133
H. Exton New hypergeometric transformations . . . 135--137
Anonymous Author index volume 92 (1998) . . . . . 139--139
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N20
Anonymous Editorial Board . . . . . . . . . . . . v--vi
R. K. Mohanty and
M. K. Jain and
Kochurani George Fourth-order approximations at first
time level, linear stability analysis
and the numerical solution of
multidimensional second-order nonlinear
hyperbolic equations in polar
coordinates . . . . . . . . . . . . . . 1--12
Zhong-Zhi Bai and
Yu-Guang Huang Asynchronous multisplitting two-stage
iterations for systems of weakly
nonlinear equations . . . . . . . . . . 13--33
Zhong-Zhi Bai A class of asynchronous parallel
nonlinear accelerated overrelaxation
methods for the nonlinear
complementarity problems . . . . . . . . 35--44
T. M. Dunster Asymptotics of the eigenvalues of the
rotating harmonic oscillator . . . . . . 45--73
M. Piana and
J. C. Brown Analytical and regularized solutions of
the synchrotron integral equation . . . 75--88
Francisco-Javier Sayas A generalized Euler--Maclaurin formula
on triangles . . . . . . . . . . . . . . 89--93
Vassilis G. Papanicolaou and
George E. Kokolakis and
Shahar Boneh Asymptotics for the random coupon
collector problem . . . . . . . . . . . 95--105
Dingguo Pu and
Jianzhong Zhang Inexact generalized Newton methods for
second order C-differentiable
optimization . . . . . . . . . . . . . . 107--122
Fred Vermolen and
Kees Vuik A numerical method to compute the
dissolution of second phases in ternary
alloys . . . . . . . . . . . . . . . . . 123--143
Anonymous Author index volume 93 (1998) . . . . . 145--145
G. Min Lobatto-type quadrature formula in
rational spaces . . . . . . . . . . . . 1--12
Ioannis K. Argyros On the convergence of a certain class of
iterative procedures under relaxed
conditions with applications . . . . . . 13--21
Celina Pestano-Gabino and
Concepción González-Concepción Rationality, minimality and uniqueness
of representation of matrix formal power
series . . . . . . . . . . . . . . . . . 23--38
I. S. Sadek and
L. Jamiiru and
H. A. Al-Mohamad Optimal boundary control of
one-dimensional multi-span vibrating
systems . . . . . . . . . . . . . . . . 39--54
J. M. Aitchison and
M. W. Poole A numerical algorithm for the solution
of Signorini problems . . . . . . . . . 55--67
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Zi-Cai Li and
Z. D. Bai Probabilistic analysis on the
splitting-shooting method for image
transformations . . . . . . . . . . . . 69--121
D. B. Hunter and
Geno Nikolov Gaussian quadrature of Chebyshev
polynomials . . . . . . . . . . . . . . 123--131
Jae Heon Yun Block incomplete factorization
preconditioners for a symmetric
block-tridiagonal M-matrix . . . . . . . 133--152
Lars-Erik Andersson and
Tommy Elfving and
Gene H. Golub Solution of biharmonic equations with
application to radar imaging . . . . . . 153--180
B. M. Brown and
M. S. P. Eastham and
D. K. R. McCormack Absolute continuity and spectral
concentration for slowly decaying
potentials . . . . . . . . . . . . . . . 181--197
Sotirios E. Notaris New interpolatory quadrature formulae
with Chebyshev abscissae . . . . . . . . 199--214
Anonymous Author index volume 94 (1998) . . . . . 215--215
Anonymous Editorial Board . . . . . . . . . . . . v--vi
Kaili Xiang and
Jianjun Zhang Explicit two-step high-accuracy hybrid
methods with minimal phase-lag for $ y''
= f(x, y) $ and their application to the
one-dimensional Schrödinger equation . . 1--11
H. I. Abdel-Gawad An approach to solutions of systems of
linear partial differential equations
with applications . . . . . . . . . . . 13--27
A. H. Khater and
A. B. Shamardan and
M. H. Farag and
A. H. Abel-Hamid Analytical and numerical solutions of a
quasilinear parabolic optimal control
problem . . . . . . . . . . . . . . . . 29--43
Xue-Zhang Liang and
Chun-Mei Lü On the integral convergence of Kergin
interpolation on the disk . . . . . . . 45--63
M. S. Abou-Dina and
M. A. Helal Reduction for the nonlinear problem of
fluid waves to a system of
integro-differential equations with an
oceanographical application . . . . . . 65--81
A. Zafer and
H. Taseli Two-sided eigenvalue bounds for the
spherically symmetric states of the
Schrödinger equation . . . . . . . . . . 83--100
Philsu Kim and
Sungyun Lee A piecewise linear quadrature of Cauchy
singular integrals . . . . . . . . . . . 101--115
Stefan Wegenkittl Are there hyperbolas in the scatter
plots of inversive congruential
pseudorandom numbers? . . . . . . . . . 117--125
Eduardo Liz and
Rodrigo L. Pouso Approximation of solutions for nonlinear
periodic boundary value problems with
discontinuous upper and lower solutions 127--138
Katsu Yamatani and
Kohzaburo Ohnaka A reliable estimation method of a dipole
for three-dimensional Poisson equation 139--151
Bao Tong Cui and
Wei Nian Li A necessary and sufficient condition for
oscillation of parabolic equations with
several delays . . . . . . . . . . . . . 153--156
Ch. Tsitouras High-order zero-dissipative
Runge--Kutta--Nyström methods . . . . . . 157--161
Anonymous Author index volume 95 (1998) . . . . . 163--163
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
J. A. Ezquerro and
M. A. Hernández Avoiding the computation of the second
Fréchet-derivative in the convex
acceleration of Newton's method . . . . 1--12
Yuki Matsuzawa Finite element approximation for some
quasilinear elliptic problems . . . . . 13--25
E. Berriochoa and
A. Cachafeiro Lebesgue Sobolev orthogonality on the
unit circle . . . . . . . . . . . . . . 27--34
S. Ponnusamy Hypergeometric transforms of functions
with derivative in a half plane . . . . 35--49
Ana Alonso and
R. Loredana Trotta and
Alberto Valli Coercive domain decomposition algorithms
for advection--diffusion equations and
systems . . . . . . . . . . . . . . . . 51--76
Y. Nakamura and
K. Kajiwara and
H. Shiotani On an integrable discretization of the
Rayleigh quotient gradient system and
the power method with a shift . . . . . 77--90
B. Chanane Eigenvalues of fourth order
Sturm--Liouville problems using Fliess
series . . . . . . . . . . . . . . . . . 91--97
Volker John A posteriori $ L^2 $-error estimates for
the nonconforming $ P_1 P_0 $-finite
element discretization of the Stokes
equations . . . . . . . . . . . . . . . 99--116
Prashant Batra Improvement of a convergence condition
for the Durand--Kerner iteration . . . . 117--125
Zhong-Zhi Bai and
D. J. Evans Chaotic iterative methods for the linear
complementarity problems . . . . . . . . 127--138
Xiquan Shi and
Tianjun Wang and
Baocai Yin Splines on generalized quasi-cross-cut
partitions . . . . . . . . . . . . . . . 139--147
Taoufiq Abdellaoui Optimal solution of a
Monge--Kantorovitch transportation
problem . . . . . . . . . . . . . . . . 149--161
Anonymous Author index volume 96 (1998) . . . . . 163--163
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Hermann Brunner and
Chris J. Budd and
David M. Sloan Preface . . . . . . . . . . . . . . . . 1--2
Catherine Bandle and
Hermann Brunner Blowup in diffusion equations: a survey 3--22
Stephen Bricher and
Evrim Akdo\ugu The asymptotic behavior for gaseous
ignition models . . . . . . . . . . . . 23--37
A. A. Lacey Diffusion models with blow-up . . . . . 39--49
C. J. Budd and
G. J. Collins and
V. A. Galaktionov An asymptotic and numerical description
of self-similar blow-up in quasilinear
parabolic equations . . . . . . . . . . 51--80
Stefka Dimova and
Michael Kaschiev and
Milena Koleva and
Daniela Vasileva Numerical analysis of radially
nonsymmetric blow-up solutions of a
nonlinear parabolic problem . . . . . . 81--97
M. A. Herrero and
E. Medina and
J. J. L. Velázquez Self-similar blow-up for a
reaction--diffusion system . . . . . . . 99--119
Marie-Noëlle Le Roux Numerical solution of fast diffusion or
slow diffusion equations . . . . . . . . 121--136
Rita Meyer-Spasche Difference schemes of optimum degree of
implicitness for a family of simple ODEs
with blow-up solutions . . . . . . . . . 137--152
Catherine A. Roberts Analysis of explosion for nonlinear
Volterra equations . . . . . . . . . . . 153--166
Anonymous Author index volume 97 (1998) . . . . . 167--167
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Jyun-Horng Fu and
David F. Miller Computational matrix representation
modules for linear operators with
explicit constructions for a class of
lie operators . . . . . . . . . . . . . 1--26
Rigoberto Medina Nonoscillatory solutions for the
one-dimensional $p$-Laplacian . . . . . 27--33
S. H. Lui Kron's method for symmetric eigenvalue
problems . . . . . . . . . . . . . . . . 35--48
Miroslav Rozlozník and
Rüdiger Weiss On the stable implementation of the
generalized minimal error method . . . . 49--62
Cheng Yumin and
Peng Miaojuan and
Zhang Wu On the asymptotic behavior of the
solutions of a class of second order
nonlinear differential equations . . . . 63--79
Bernhard Beckermann and
Emmanuel Bourreau How to choose modified moments? . . . . 81--98
Elie Leopold The extremal zeros of a perturbed
orthogonal polynomials system . . . . . 99--120
Alexei Zhedanov The ``classical'' Laurent biorthogonal
polynomials . . . . . . . . . . . . . . 121--147
C. Brezinski Vector sequence transformations:
Methodology and applications to linear
systems . . . . . . . . . . . . . . . . 149--175
Leslie V. Foster The growth factor and efficiency of
Gaussian elimination with rook pivoting 177--177
Rigoberto Medina Stability and asymptotic behavior of
perturbed difference systems . . . . . . 179--189
G. Bayada and
M. Chambat and
C. Vázquez Characteristics method for the
formulation and computation of a free
boundary cavitation problem . . . . . . 191--212
Igor Boglaev On a domain decomposition algorithm for
a singularly perturbed
reaction--diffusion problem . . . . . . 213--232
A. Melman Spectral functions for real symmetric
Toeplitz matrices . . . . . . . . . . . 233--243
Odd Magne Ogreid and
Per Osland Summing one- and two-dimensional series
related to the Euler series . . . . . . 245--271
Bernard Brighi and
Michel Chipot Approximation of infima in the calculus
of variations . . . . . . . . . . . . . 273--287
Zhi-Zhong Sun and
Qi-Ding Zhu On Tsertsvadze's difference scheme for
the Kuramoto-Tsuzuki equation . . . . . 289--304
J. A. Ezquerro and
M. A. Hernández and
M. A. Salanova Remark on the convergence of the
midpoint method under mild
differentiability conditions . . . . . . 305--309
Naoki Osada Improving the order of convergence of
iteration functions . . . . . . . . . . 311--315
Anonymous Author index volume 98 (1998) . . . . . 317--317
Antonio J. Duran Preface . . . . . . . . . . . . . . . . 1--1
Manuel Alfaro and
María José Cantero and
Leandro Moral Semiorthogonal functions and orthogonal
polynomials on the unit circle . . . . . 3--14
P. L. Artés and
J. S. Dehesa and
A. Martínez-Finkelshtein and
J. Sánchez-Ruiz Linearization and connection
coefficients for hypergeometric-type
polynomials . . . . . . . . . . . . . . 15--26
M. K. Atakishiyeva and
N. M. Atakishiyev and
C. Villegas-Blas On the square integrability of the
$q$-Hermite functions . . . . . . . . . 27--35
R. Álvarez-Nodarse Second order difference equations for
certain families of `discrete'
polynomials . . . . . . . . . . . . . . 37--45
M. Bello Hernández and
F. Cala Rodríguez and
J. J. Guadalupe and
G. López Lagomasino Convergence rate of Padé-type
approximants for Stieltjes functions . . 47--53
Youss\`ef Ben Cheikh Decomposition of Laguerre polynomials
with respect to the cyclic group of
order $n$ . . . . . . . . . . . . . . . 55--66
Christian Berg On some indeterminate moment problems
for measures on a geometric progression 67--75
Christof Bosbach and
Wolfgang Gawronski Strong asymptotics for Laguerre
polynomials with varying weights . . . . 77--89
B. de la Calle Ysern and
G. López Lagomasino Strong asymptotics of orthogonal
polynomials with varying measures and
Hermite--Padé approximants . . . . . . . 91--103
Emilio Defez and
Lucas Jódar Some applications of the Hermite matrix
polynomials series expansions . . . . . 105--117
Sven Ehrich On orthogonal polynomials for certain
nondefinite linear functionals . . . . . 119--128
Sven Ehrich and
Giuseppe Mastroianni Marcinkiewicz inequalities based on
Stieltjes zeros . . . . . . . . . . . . 129--141
M. Foupouagnigni and
M. N. Hounkonnou and
A. Ronveaux Laguerre--Freud equations for the
recurrence coefficients of $ D_\omega $
semi-classical orthogonal polynomials of
class one . . . . . . . . . . . . . . . 143--154
Jacek Gilewicz and
Maciej Pindor Padé-type approximants and errors of Padé
approximants . . . . . . . . . . . . . . 155--165
C. Giordano and
A. Laforgia and
J. Pecari\'c Unified treatment of Gautschi--Kershaw
type inequalities for the gamma function 167--175
E. Godoy and
A. Ronveaux and
A. Zarzo and
I. Area Connection problems for polynomial
solutions of nonhomogeneous differential
and difference equations . . . . . . . . 177--187
F. Alberto Grünbaum Variations on a theme of Heine and
Stieltjes: an electrostatic
interpretation of the zeros of certain
polynomials . . . . . . . . . . . . . . 189--194
J. Illán Piecewise rational approximation to
continuous functions with characteristic
singularities . . . . . . . . . . . . . 195--203
L. Jódar and
J. C. Cortés On the hypergeometric matrix function 205--217
H. S. Jung and
K. H. Kwon Mean convergence of Hermite--Fejér and
Hermite interpolation for Freud weights 219--238
Y. J. Kim and
K. H. Kwon and
J. K. Lee Partial differential equations having
orthogonal polynomial solutions . . . . 239--253
A. B. J. Kuijlaars and
E. A. Rakhmanov Zero distributions for discrete
orthogonal polynomials . . . . . . . . . 255--274
Stanis\law Lewanowicz Recurrence relations for the connection
coefficients of orthogonal polynomials
of a discrete variable on the lattice $
x(s) = q^{2s} $ . . . . . . . . . . . . 275--286
Marc Lindlbauer On the rate of convergence of the laws
of Markov chains associated with
orthogonal polynomials . . . . . . . . . 287--297
Gradimir V. Milovanovi\'c and
Bratislav Dankovi\'c and
Snezana Lj. Ranci\'c Some Müntz orthogonal systems . . . . . . 299--310
Olav Njåstad Nevanlinna matrices for the strong
Stieltjes moment problem . . . . . . . . 311--318
F. Pérez Acosta and
J. M. Almira Picazo Comparison of inequalities for the
minimax series via Tchebychev
polynomials . . . . . . . . . . . . . . 319--325
A. Ronveaux and
A. Zarzo and
I. Area and
E. Godoy Transverse limits in the Askey tableau 327--335
Margit Rösler and
Michael Voit Biorthogonal polynomials associated with
reflection groups and a formula of
Macdonald . . . . . . . . . . . . . . . 337--351
Mohamed Sifi Generalized wavelet packet associated
with Laguerre functions . . . . . . . . 353--364
Wim Schoutens Lévy--Sheffer and IID--Sheffer
polynomials with applications to
stochastic integrals . . . . . . . . . . 365--372
Vilmos Totik Orthogonal polynomials with respect to
varying weights . . . . . . . . . . . . 373--385
Pauline Coolen-Schrijner and
Erik A. van Doorn Analysis of random walks using
orthogonal polynomials . . . . . . . . . 387--399
Jet Wimp and
Harry Kiesel Some properties of the Sobolev--Laguerre
polynomials . . . . . . . . . . . . . . 401--412
D. Alpay A structure theorem for reproducing
kernel Pontryagin spaces . . . . . . . . 413--422
A. I. Aptekarev Multiple orthogonal polynomials . . . . 423--447
Tom H. Koornwinder Identities of nonterminating series by
Zeilberger's algorithm . . . . . . . . . 449--461
S. B. Damelin A characterization of smoothness for
Freud weights . . . . . . . . . . . . . 463--473
A. L. Levin and
D. S. Lubinsky Bounds for orthogonal polynomials for
exponential weights . . . . . . . . . . 475--490
Andrei Martínez-Finkelshtein Asymptotic properties of Sobolev
orthogonal polynomials . . . . . . . . . 491--510
Herbert Stahl Spurious poles in Padé approximation . . 511--527
Zdzis\law Lewandowski and
Jan Szynal An upper bound for the Laguerre
polynomials . . . . . . . . . . . . . . 529--533
Anonymous Author index volume 99 (1998) . . . . . 535--536
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
C. H. Santos and
B. P. B. Silva and
J. Y. Yuan Block SOR methods for rank-deficient
least-squares problems . . . . . . . . . 1--9
P. J. van der Houwen and
B. P. Sommeijer The use of approximate factorization in
stiff ODE solvers . . . . . . . . . . . 11--21
Allen R. Miller Remarks on a generalized beta function 23--32
Amnuay Kananthai On the convolution equation related to
the diamond kernel of Marcel Riesz . . . 33--39
Jun Zhang Multi-level minimal residual smoothing:
a family of general purpose multigrid
acceleration techniques . . . . . . . . 41--51
E. K. Rawy and
Labib Iskandar and
A. F. Ghaleb Numerical solution for a nonlinear,
one-dimensional problem of
thermoelasticity . . . . . . . . . . . . 53--76
O. Schein and
G. Denk Numerical solution of stochastic
differential-algebraic equations with
applications to transient noise
simulation of microelectronic circuits 77--92
Susanne Mauthner Step size control in the numerical
solution of stochastic differential
equations . . . . . . . . . . . . . . . 93--109
María Álvarez de Morales and
Teresa E. Pérez and
Miguel A. Piñar Sobolev orthogonality for the Gegenbauer
polynomials $ \{ C_n^{( - N + 12)} \}_n
\geq 0 $ . . . . . . . . . . . . . . . . 111--120
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N14
Mourad E. H. Ismail and
Plamen Simeonov Strong asymptotics for Krawtchouk
polynomials . . . . . . . . . . . . . . 121--144
Gabriel R. Barrenechea and
Gabriel N. Gatica and
George C. Hsiao Weak solvability of interior
transmission problems via mixed finite
elements and Dirichlet-to-Neumann
mappings . . . . . . . . . . . . . . . . 145--160
Prabir Daripa Some useful filtering techniques for
illposed problems . . . . . . . . . . . 161--171
Peter Monk A posteriori error indicators for
Maxwell's equations . . . . . . . . . . 173--190
Victor S. Adamchik Polygamma functions of negative order 191--199
Jeff Miller and
Victor S. Adamchik Derivatives of the Hurwitz Zeta function
for rational arguments . . . . . . . . . 201--206
Xiaojun Chen On preconditioned Uzawa methods and SOR
methods for saddle-point problems . . . 207--224
H. Exton Summation formulae involving the
Laguerre polynomial . . . . . . . . . . 225--227
Anonymous Author index volume 100 (1998) . . . . . 229--229
Anonymous Author index to volumes 91--100 (1998) 231--242
Anonymous Subject index to volumes 91--100 (1998) 243--256
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
Y. Qiu and
D. M. Sloan Analysis of difference approximations to
a singularly perturbed two-point
boundary value problem on an adaptively
generated grid . . . . . . . . . . . . . 1--25
C. Maeve McCarthy The tallest column --- optimality
revisited . . . . . . . . . . . . . . . 27--37
Guang Zhang and
Sui Sun Cheng and
Ying Gao Classification schemes for positive
solutions of a second-order nonlinear
difference equation . . . . . . . . . . 39--51
Horst Alzer and
O. G. Ruehr A submultiplicative property of the psi
function . . . . . . . . . . . . . . . . 53--60
C. Musschoot A Lanczos-type method for solving
nonsymmetric linear systems with
multiple right-hand sides --- matrix and
polynomial interpretation . . . . . . . 61--85
S. B. Damelin Smoothness theorems for generalized
symmetric Pollaczek weights on (-1,1) 87--103
Nguyen Huu Cong Continuous variable stepsize explicit
pseudo two-step RK methods . . . . . . . 105--116
Michael S. Floater and
Craig Gotsman How to morph tilings injectively . . . . 117--129
B. Koren and
A. C. J. Venis A fed back level-set method for moving
material-void interfaces . . . . . . . . 131--152
P. J. van der Houwen and
E. Messina Parallel Adams methods . . . . . . . . . 153--165
Paul Levrie and
Adhemar Bultheel A note on the relation between two
convergence acceleration methods for
ordinary continued fractions . . . . . . 167--175
Holger Wendland On the smoothness of positive definite
and radial functions . . . . . . . . . . 177--188
Sergio Blanes and
Lucas Jódar Continuous numerical solutions of
coupled mixed partial differential
systems using Fer's factorization . . . 189--202
Frans Kuijt and
Ruud van Damme Monotonicity preserving interpolatory
subdivision schemes . . . . . . . . . . 203--229
M. Foupouagnigni and
A. Ronveaux and
W. Koepf Fourth order $q$-difference equation for
the first associated of the
$q$-classical orthogonal polynomials . . 231--236
Julio Abad and
Javier Sesma Buchholz polynomials: a family of
polynomials relating solutions of
confluent hypergeometric and Bessel
equations . . . . . . . . . . . . . . . 237--241
Ana B. González and
Juan Getino and
JoséM. Farto An algorithm for an eigenvalues problem
in the Earth rotation theory . . . . . . 243--254
William F. Trench Invertibly convergent infinite products
of matrices . . . . . . . . . . . . . . 255--263
Anonymous Author index volume 101 (1999) . . . . . 265--265
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
D. S. Meek and
D. J. Walton Preface . . . . . . . . . . . . . . . . 1--2
Chengfu Yao and
Jon G. Rokne An integral linear interpolation
approach to the design of incremental
line algorithms . . . . . . . . . . . . 3--19
Caiming Zhang and
Fuhua (Frank) Cheng Constructing parametric quadratic curves 21--36
J. M. Ali and
R. M. Tookey and
J. V. Ball and
A. A. Ball The generalised Cornu spiral and its
application to span generation . . . . . 37--47
Marco Paluszny and
Francisco Tovar and
Richard R. Patterson $ G^2 $ composite cubic Bézier curves . . 49--71
Janet F. Poliakoff and
Yew Kee Wong and
Peter D. Thomas An automated curve fairing algorithm for
cubic B-spline curves . . . . . . . . . 73--85
Chris Seymour and
Keith Unsworth Interactive shape preserving
interpolation by curvature continuous
rational cubic splines . . . . . . . . . 87--117
Rajesh Ramamurthy and
Rida T. Farouki Voronoi diagram and medial axis
algorithm for planar domains with curved
boundaries. I. Theoretical foundations 119--141
Horng-Yang Chen and
Helmut Pottmann Approximation by ruled surfaces . . . . 143--156
P. Shenkman and
N. Dyn and
D. Levin Normals of the butterfly subdivision
scheme surfaces and their applications 157--180
JoséL. López Asymptotic expansions of integrals: the
term-by-term integration method . . . . 181--194
Qinsheng Bi and
Pei Yu Symbolic computation of normal forms for
semi-simple cases . . . . . . . . . . . 195--220
Guang-Da Hu and
Baruch Cahlon Estimations on numerically stable
step-size for neutral delay differential
systems with multiple delays . . . . . . 221--234
D. A. Voss and
P. H. Muir Mono-implicit Runge--Kutta schemes for
the parallel solution of initial value
ODEs . . . . . . . . . . . . . . . . . . 235--252
Rajesh Ramamurthy and
Rida T. Farouki Voronoi diagram and medial axis
algorithm for planar domains with curved
boundaries --- II: Detailed algorithm
description . . . . . . . . . . . . . . 253--277
Jean-Daniel Rolle Minimum variance quadratic unbiased
estimators as a tool to identify
compound normal distributions . . . . . 279--285
R. Thukral A family of Padé-type approximants for
accelerating the convergence of
sequences . . . . . . . . . . . . . . . 287--302
A. N. MalysheV and
M. Sadkane On the stability of large matrices . . . 303--313
Emiko Ishiwata A practical choice of parameters in
improved SOR--Newton method with
orderings . . . . . . . . . . . . . . . 315--331
Pham Ky Anh Comments on ``The parallel version of
the successive approximation method for
quasilinear boundary-value problem'', by
Scheiber Ern\Ho . . . . . . . . . . . . 333--334
Anonymous Author index volume 102 (1999) . . . . . 335--336
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
V. Pereyra and
J. Casillo Preface . . . . . . . . . . . . . . . . 1--2
C. Bailey and
G. A. Taylor and
M. Cross and
P. Chow Discretisation procedures for
multi-physics phenomena . . . . . . . . 3--17
J. G. Tinoco-Ruiz and
P. Barrera-Sánchez Area control in generating smooth and
convex grids over general plane regions 19--32
A. L. De Bortoli Three dimensional supersonic flow
analysis over a satellite vehicle
launcher . . . . . . . . . . . . . . . . 33--41
Elba Bravo and
Julio R. Claeyssen and
Rodrigo B. Platte A direct one-step pressure actualization
for incompressible flow with pressure
Neumann condition . . . . . . . . . . . 43--53
Benito Chen-Charpentier Numerical simulation of biofilm growth
in porous media . . . . . . . . . . . . 55--66
Carlos R. Torres and
José Ochoa and
JoséE. Castillo and
Hideshi Hanazaki Numerical simulation of flow past a
sphere in vertical motion within a
stratified fluid . . . . . . . . . . . . 67--76
JoséA. Cuminato and
Antonio Castelo Filho and
Maurilio Boaventura and
Murilo F. Tomé Simulation of free surface flows in a
distributed memory environment . . . . . 77--92
Pedro C. Espinoza Discrete analogue of Fucik spectrum of
the Laplacian . . . . . . . . . . . . . 93--97
Felix Christian and
Guimarães Santos A posteriori estimators for nonlinear
elliptic partial differential equations 99--114
I. F. Potapenko and
C. A. de Azevedo The completely conservative difference
schemes for the nonlinear
Landau--Fokker--Planck equation . . . . 115--123
Le Ngoc Ly and
Phu Luong Numerical grids used in a coastal ocean
model with breaking wave effects . . . . 125--137
N. Luis E. León Convergence of approximate solutions of
the Cauchy problem for a $ 2 \times 2 $
nonstrictly hyperbolic system of
conservation laws . . . . . . . . . . . 139--144
Wagner Barbosa Muniz and
Haroldo F. de Campos Velho and
Fernando Manuel Ramos A comparison of some inverse methods for
estimating the initial condition of the
heat equation . . . . . . . . . . . . . 145--163
G. Scherer On the numerical modelling of the
transitional flow in rarefied gases . . 165--173
F. Trivellato and
E. Bertolazzi and
B. Firmani Finite volume modelling of free surface
draining vortices . . . . . . . . . . . 175--185
I. Elmahi and
F. Benkhaldoun and
R. Vilsmeier and
O. Gloth and
A. Patschull and
D. Hänel Finite volume simulation of a droplet
flame ignition on unstructured meshes 187--205
Paulo R. Zingano Nonlinear $ L^2 $-stability under large
disturbances . . . . . . . . . . . . . . 207--219
Marion Bastian-Walther and
Jochen W. Schmidt Range restricted interpolation using
Gregory's rational cubic splines . . . . 221--237
Nata\vsa Kreji\'c and
José Mario Martínez Inexact-Newton methods for semismooth
systems of equations with block-angular
structure . . . . . . . . . . . . . . . 239--249
S. Kutluay and
A. R. Bahadir and
A. Özdes Numerical solution of one-dimensional
Burgers equation: explicit and
exact-explicit finite difference methods 251--261
Chengming Huang and
Shoufu Li and
Hongyuan Fu and
Guangnan Chen Stability and error analysis of one-leg
methods for nonlinear delay differential
equations . . . . . . . . . . . . . . . 263--279
Ljiljana Cvetkovi\'c A note on the convergence of the MAOR
method . . . . . . . . . . . . . . . . . 281--285
YoonMee Ham Internal layer oscillations in
FitzHugh--Nagumo equation . . . . . . . 287--295
T. Van Hecke and
G. Vanden Berghe and
M. Van Daele and
H. De Meyer Comment on: A two-stage fourth-order
``almost'' $P$-stable method for
oscillatory problems . . . . . . . . . . 297--300
D. Calvetti and
G. H. Golub and
L. Reichel A computable error bound for matrix
functionals . . . . . . . . . . . . . . 301--306
Jian-Jun Xu Convergence of partially asynchronous
block quasi-Newton methods for nonlinear
systems of equations . . . . . . . . . . 307--321
Jean Letessier Some results on co-recursive associated
Meixner and Charlier polynomials . . . . 323--335
Anonymous Author index volume 103 (1999) . . . . . 337--338
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
M. N. Senhadji On condition numbers of some
quasi-linear transformations . . . . . . 1--17
Muhammed I. Syam A new proof of the Euler--Maclaurin
expansion for quadrature over implicitly
defined curves . . . . . . . . . . . . . 19--25
A. H. Essawy and
H. El-Arabawy and
Sh. M. El-Sawaby Diffraction of water waves due to a
presence of two headlands . . . . . . . 27--39
Eduardo Yánez Deformable orthogonal grids: lemniscates 41--48
Muni V. Reddy and
Stephen Joe The ultratriangular form for prime-power
lattice rules . . . . . . . . . . . . . 49--61
Boris I. Ksasov and
Pairote Sattayatham GB-splines of arbitrary order . . . . . 63--88
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N18
G. C. Hsiao and
R. E. Kleinman and
D.-Q. Wang Applications of boundary integral
equation methods in $3$D electromagnetic
scattering . . . . . . . . . . . . . . . 89--110
C. Conti and
R. Morandi and
C. Rabut $P$ $_1$-reproducing shape-preserving
quasi-interpolant using positive
quadratic splines with local support . . 111--122
L. Jódar and
E. Navarro and
J. Camacho Analytic-numerical solutions with a
priori error bounds for a class of
strongly coupled mixed partial
differential systems . . . . . . . . . . 123--143
Daniel Görsch Discrete model collision operators of
Boltzmann type . . . . . . . . . . . . . 145--162
Brian A. Hagler Laurent--Hermite--Gauss Quadrature . . . 163--171
Maxim A. Olshanskii Two-level method and some a priori
estimates in unsteady Navier--Stokes
calculations . . . . . . . . . . . . . . 173--191
V. Sirotkin and
P. Tarvainen Comparison of parallel implementation of
some multi-level Schwarz methods for
singularly perturbed parabolic problems 193--212
A. B. J. Kuijlaars and
E. A. Rakhmanov Corrigendum to ``Zero distributions for
discrete orthogonal polynomials'' [J.
Comput. Appl. Math. \bf 99 (1998)
255--274] . . . . . . . . . . . . . . . 213--213
Anonymous Author index volume 104 (1999) . . . . . 215--215
Anonymous Conference . . . . . . . . . . . . . . . x--x
Anonymous Editorial . . . . . . . . . . . . . . . xi--xi
Roger W. Barnard On applications of hypergeometric
functions . . . . . . . . . . . . . . . 1--8
Bruce C. Berndt and
Heng Huat Chan and
Sen-Shan Huang and
Soon-Yi Kang and
Jaebum Sohn and
Seung Hwan Son The Rogers--Ramanujan continued fraction 9--24
Annie Cuyt How well can the concept of Padé
approximant be generalized to the
multivariate case? . . . . . . . . . . . 25--50
William B. Jones and
Olav Njåstad Orthogonal Laurent polynomials and
strong moment theory: a survey . . . . . 51--91
Thomas H. MacGregor Fractional Cauchy transforms . . . . . . 93--108
F. Marcellán and
E. Prianes Perturbations of Laguerre--Hahn linear
functionals . . . . . . . . . . . . . . 109--128
George A. Baker, Jr. Algebraic approximants and the numerical
solution of parabolic equations . . . . 129--139
L. Baratchart and
Herbert Stahl and
F. Wielonsky Non-uniqueness of rational best
approximants . . . . . . . . . . . . . . 141--154
A. F. Beardon The Klein, Hilbert and Poincaré metrics
of a domain . . . . . . . . . . . . . . 155--162
E. Berriochoa and
A. Cachafeiro A family of Sobolev orthogonal
polynomials on the unit circle . . . . . 163--173
Catherine M. Bonan-Hamada and
William B. Jones Para-orthogonal Laurent polynomials and
the strong Stieltjes moment problem . . 175--185
C. F. Bracciali and
J. H. McCabe and
A. Sri Ranga On a symmetry in strong distributions 187--198
A. Bultheel and
P. González-Vera and
E. Hendriksen and
O. Njåstad A density problem for orthogonal
rational functions . . . . . . . . . . . 199--212
A. Cuyt and
K. Driver and
J. Tan and
B. Verdonk A finite sum representation of the
Appell series $ F_1 (a, b, b'; c; x, y)
$ . . . . . . . . . . . . . . . . . . . 213--219
M. G. de Bruin and
A. Sharma On a Schoenberg-type conjecture . . . . 221--228
C. Díaz-Mendoza and
P. González-Vera and
R. Orive Two-point Padé-type approximation to the
Cauchy transform of certain strong
distributions . . . . . . . . . . . . . 229--243
J. Dziok Classes of functions defined by certain
differential-integral operators . . . . 245--255
Matts Essén and
Daniel Shea and
Charles Stanton Best constant inequalities for conjugate
functions . . . . . . . . . . . . . . . 257--264
A. Fernández Infante and
G. López Lagomasino Overconvergence of subsequences of rows
of Padé approximants with gaps . . . . . 265--273
F. W. Gehring and
K. Hag Hyperbolic geometry and disks . . . . . 275--284
Jacek Gilewicz and
Maciej Pindor Padé approximants and noise: rational
functions . . . . . . . . . . . . . . . 285--297
John Gill A natural continuous interpolating
structure for continued fractions . . . 299--309
Arcadii Z. Grinshpan Remarks on the Grunsky norm and $p$-th
root transformation . . . . . . . . . . 311--315
Philip E. Gustafson and
Brian A. Hagler Gaussian quadrature rules and numerical
examples for strong extensions of mass
distribution functions . . . . . . . . . 317--326
Stanis\lawa Kanas and
Agnieszka Wi\'sniowska Conic regions and $k$-uniform convexity 327--336
Jan G. Krzyz and
Maria Nowak Harmonic automorphisms of the unit disk 337--346
Khrystyna Kuchmins'ka Some properties of two-dimensional
continued fractions . . . . . . . . . . 347--353
L. J. Lange Convergence regions with bounded convex
complements for continued fractions $
K(1 / b_n) $ . . . . . . . . . . . . . . 355--366
Zdzis\law Lewandowski and
Jan Szynal The Landau problem for bounded
nonvanishing functions . . . . . . . . . 367--369
Xin Li Regularity of orthogonal rational
functions with poles on the unit circle 371--383
William Ma and
David Minda Two-point distortion for univalent
functions . . . . . . . . . . . . . . . 385--392
Juan J. Moreno-Balcázar and
Andrei Martínez-Finkelshtein Analytic properties of nondiagonal
Jacobi--Sobolev orthogonal polynomials 393--401
Pierre Moussa and
Andrea Cassa and
Stefano Marmi Continued fractions and Brjuno functions 403--415
Peter Orlik Hypergeometric integrals and
arrangements . . . . . . . . . . . . . . 417--424
Dariusz Partyka and
Ken-Ichi Sakan Quasiconformality of harmonic extensions 425--436
Vigdis Petersen On measures in frequency analysis . . . 437--443
Ragnhild Johanne Rensaa On omitted tuples for univalent
functions . . . . . . . . . . . . . . . 445--452
D. E. Roberts On a representation of vector continued
fractions . . . . . . . . . . . . . . . 453--466
W. J. Thron Improved truncation error bounds for
limit periodic continued fractions with
additional assumptions on its elements 467--476
Anonymous Conference . . . . . . . . . . . . . . . 477--478
Anonymous Conference . . . . . . . . . . . . . . . 479--482
Anonymous Index . . . . . . . . . . . . . . . . . 483--484
Jang Jou and
Jinn-Liang Liu A posteriori boundary element error
estimation . . . . . . . . . . . . . . . 1--19
Zi-Cai Li and
Song Wang The finite volume method and application
in combinations . . . . . . . . . . . . 21--53
M. S. Abou-Dina and
A. F. Ghaleb On the boundary integral formulation of
the plane theory of elasticity with
applications (analytical aspects) . . . 55--70
A. Fdil On the acceleration of two classes of
sequences by the $ \hat \theta
$-algorithm . . . . . . . . . . . . . . 71--85
L. Gr. Ixaru and
B. Paternoster A conditionally $P$-stable fourth-order
exponential-fitting method for $ y'' =
f(x, y)$ . . . . . . . . . . . . . . . . 87--98
Miodrag M. Spalevi\'c Product of Turán quadratures for cube,
simplex, surface of the sphere, $ E_n^r
$, $ E_n^{r^2} $ . . . . . . . . . . . . 99--115
Yongzhong Song Semiconvergence of extrapolated
iterative methods for singular linear
systems . . . . . . . . . . . . . . . . 117--129
M. R. M. Witwit and
N. A. Gordon and
J. P. Killingbeck Numerical computation and analysis of
the Titchmarsh--Weyl $ m_\alpha
(\lambda) $ function for some simple
potentials . . . . . . . . . . . . . . . 131--143
Jean M.-S. Lubuma and
Serge Nicaise Finite element method for elliptic
problems with edge singularities . . . . 145--168
Djurdje Cvijovic and
Jacek Klinowski Integrals involving complete elliptic
integrals . . . . . . . . . . . . . . . 169--175
M. I. Falcão and
N. Papamichael and
N. S. Stylianopoulos Curvilinear crosscuts of subdivision for
a domain decomposition method in
numerical conformal mapping . . . . . . 177--196
Anonymous Correspondence . . . . . . . . . . . . . 197--202
André Draux and
Charaf Elhami On the positivity of some bilinear
functionals in Sobolev spaces . . . . . 203--243
M. H. Fahmy and
M. A. Abdou and
M. A. Darwish Integral equations and
potential-theoretic type integrals of
orthogonal polynomials . . . . . . . . . 245--254
Mehdi Dehghan Fully implicit finite differences
methods for two-dimensional diffusion
with a non-local boundary condition . . 255--269
F. Alberto Grünbaum and
Luc Haine and
Emil Horozov Some functions that generalize the
Krall--Laguerre polynomials . . . . . . 271--297
John Gill A note on extending Euler's connection
between continued fractions and power
series . . . . . . . . . . . . . . . . . 299--305
O. Steinbach Adaptive finite element-boundary element
solution of boundary value problems . . 307--316
Alicia Serfaty de Markus and
Ronald E. Mickens Suppression of numerically induced chaos
with nonstandard finite difference
schemes . . . . . . . . . . . . . . . . 317--324
Zi-Cai Li and
Qun Lin and
Ning-Ning Yan Global superconvergence in combinations
of Ritz--Galerkin--FEM for singularity
problems . . . . . . . . . . . . . . . . 325--344
Jianzhong Zhang and
Zhenhong Liu A further study on inverse linear
programming problems . . . . . . . . . . 345--359
George Boros and
Victor H. Moll An integral hidden in Gradshteyn and
Ryzhik . . . . . . . . . . . . . . . . . 361--368
H. Bavinck and
J. Koekoek Differential operators having symmetric
orthogonal polynomials as eigenfunctions 369--393
H. Exton A new two-term relation for the $_3 F_2$
hypergeometric function of unit argument 395--397
Anonymous Author index volume 106 (1999) . . . . . 399--400
Alexei Zhedanov A method of constructing Krall's
polynomials . . . . . . . . . . . . . . 1--20
D. S. Meek and
D. J. Walton Spiral arc spline approximation to a
planar spiral . . . . . . . . . . . . . 21--30
D. Kaminski and
R. B. Paris On the zeroes of the Pearcey integral 31--52
Zélia da Rocha QD-algorithms and recurrence relations
for biorthogonal polynomials . . . . . . 53--72
Natig M. Atakishiyev and
Luis Edgar Vicent and
Kurt Bernardo Wolf Continuous vs. discrete fractional
Fourier transforms . . . . . . . . . . . 73--95
K. Jbilou Smoothing iterative block methods for
linear systems with multiple right-hand
sides . . . . . . . . . . . . . . . . . 97--109
P. N. Shivakumar and
Jungong Xue On the double points of a Mathieu
equation . . . . . . . . . . . . . . . . 111--125
R. G. Buschman Less simple contiguous function
relations for hypergeometric functions 127--131
R. Álvarez-Nodarse and
N. R. Quintero and
A. Ronveaux On the linearization problem involving
Pochhammer symbols and their
$q$-analogues . . . . . . . . . . . . . 133--146
Zi-Cai Li Advanced combinations of
splitting-shooting-integrating methods
for digital image transformations . . . 147--177
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
Gorik De Samblanx and
Adhemar Bultheel Using implicitly filtered RKS for
generalised eigenvalue problems . . . . 195--218
Gaspard Bangerezako The factorization method for the
Askey--Wilson polynomials . . . . . . . 219--232
Z. Jackiewicz and
H. D. Mittelmann Exploiting structure in the construction
of DIMSIMs . . . . . . . . . . . . . . . 233--239
Jacek Gilewicz and
Elie Leopold Zeros of polynomials and recurrence
relations with periodic coefficients . . 241--255
Lidia Aceto and
Donato Trigiante Symmetric schemes, time reversal
symmetry and conservative methods for
Hamiltonian systems . . . . . . . . . . 257--274
Miodrag Petkovi\'c and
Dragoslav Herceg On rediscovered iteration methods for
solving equations . . . . . . . . . . . 275--284
Anonymous Index . . . . . . . . . . . . . . . . . 285--285
X. Q. Liu and
C. W. Li Product expansion for stochastic jump
diffusions and its application to
numerical approximation . . . . . . . . 1--17
J. C. Chiou and
S. D. Wu On the generation of higher order
numerical integration methods using
lower order Adams--Bashforth and
Adams--Moulton methods . . . . . . . . . 19--29
Manuel Antonio Aguirre Téllez and
Ana Lucía Barrenechea A relation between the $k$-th derivative
of the Dirac delta in $ (P \pm i 0)$ and
the residue of distributions $ (P \pm i
0)^\lambda $ . . . . . . . . . . . . . . 31--40
Roman Chapko On the numerical solution of direct and
inverse problems for the heat equation
in a semi-infinite region . . . . . . . 41--55
Norimasa Shibutani Integrable discretization and its
applications . . . . . . . . . . . . . . 57--73
Sun-Chul Kim and
June-Yub Lee A high-order adaptive numerical method
for recirculating flows at large
Reynolds number . . . . . . . . . . . . 75--86
Henk G. Meijer and
Miguel A. Piñar Asymptotics of Sobolev orthogonal
polynomials for coherent pairs of Jacobi
type . . . . . . . . . . . . . . . . . . 87--97
P. Y. Yalamov and
M. Mitrouli A fast algorithm for index of
annihilation computations . . . . . . . 99--111
Stefano Serra Capizzano and
Paolo Tilli Extreme singular values and eigenvalues
of non-Hermitian block Toeplitz matrices 113--130
Muhammed I. Syam and
Hani I. Siyyam Numerical differentiation of implicitly
defined curves . . . . . . . . . . . . . 131--144
Katsuhiro Sakai A nonoscillatory numerical scheme based
on a general solution of $2$-D unsteady
advection--diffusion equations . . . . . 145--156
Peter L. Simon and
Henrik Farkas and
Mária Wittmann Constructing global bifurcation diagrams
by the parametric representation method 157--176
T. E. Simos An exponentially fitted eighth-order
method for the numerical solution of the
Schrödinger equation . . . . . . . . . . 177--194
J. C. Santos-León Product rules on the unit circle with
uniformly distributed nodes. Error
bounds for analytic functions . . . . . 195--208
G. Dattoli and
S. Lorenzutta and
A. M. Mancho and
A. Torre Generalized polynomials and associated
operational identities . . . . . . . . . 209--218
Alberto Cabada and
Juan J. Nieto and
Rodrigo L. Pouso Approximate solutions to a new class of
nonlinear diffusion problems . . . . . . 219--231
Anonymous Index . . . . . . . . . . . . . . . . . 233--233
Harald Riffert and
Klaus Werner JCAM special edition: Computational
astrophysics: Preface . . . . . . . . . ix--x
A. G. Kosovichev Inversion methods in helioseismology and
solar tomography . . . . . . . . . . . . 1--39
Peter H. Hauschildt and
E. Baron Numerical solution of the expanding
stellar atmosphere problem . . . . . . . 41--63
Klaus Werner and
Stefan Dreizler The classical stellar atmosphere problem 65--93
W. Schweizer and
P. Faßbinder and
R. González-Ferez and
M. Braun and
S. Kulla and
M. Stehle Discrete variable and finite element
techniques applied to simple atomic
systems . . . . . . . . . . . . . . . . 95--122
Richard I. Klein Star formation with $3$-D adaptive mesh
refinement: the collapse and
fragmentation of molecular clouds . . . 123--152
Ernst A. Dorfi Implicit radiation hydrodynamics for
$1$D-problems . . . . . . . . . . . . . 153--171
J. M${}^a$. Ibáñez and
J. M${}^a$. Martí Riemann solvers in relativistic
astrophysics . . . . . . . . . . . . . . 173--211
Frederic A. Rasio and
James C. Lombardi, Jr. Smoothed particle hydrodynamics
calculations of stellar interactions . . 213--230
R. Speith and
H. Riffert The viscous gas ring as an astrophysical
test problem for a viscous SPH-code . . 231--242
R. D. Sydora Low-noise electromagnetic and
relativistic particle-in-cell plasma
simulation models . . . . . . . . . . . 243--259
James M. Stone The ZEUS code for astrophysical
magnetohydrodynamics: new extensions and
applications . . . . . . . . . . . . . . 261--280
Anthony Mezzacappa and
O. E. B. Messer Neutrino transport in core collapse
supernovae . . . . . . . . . . . . . . . 281--319
W. Raphael Hix and
Friedrich-Karl Thielemann Computational methods for
nucleosynthesis and nuclear energy
generation . . . . . . . . . . . . . . . 321--351
Joachim Wambsganss Gravitational lensing: numerical
simulations with a hierarchical tree
code . . . . . . . . . . . . . . . . . . 353--372
H. M. P. Couchman Simulating the formation of large-scale
cosmic structure with particle-grid
methods . . . . . . . . . . . . . . . . 373--406
Rainer Spurzem Direct $N$-body simulations . . . . . . 407--432
S. Bonazzola and
E. Gourgoulhon and
J.-A. Marck Spectral methods in general relativistic
astrophysics . . . . . . . . . . . . . . 433--473
Jörg Frauendiener Calculating initial data for the
conformal Einstein equations by
pseudo-spectral methods . . . . . . . . 475--491
Edward Seidel and
Wai-Mo Suen Numerical relativity as a tool for
computational astrophysics . . . . . . . 493--525
Anonymous Index . . . . . . . . . . . . . . . . . 527--527
Y. Ren and
A. Spence A note on bifurcation points for
index-$1$ differential-algebraic
problems . . . . . . . . . . . . . . . . 1--14
Yuhe Ren and
Bo Zhang and
Hong Qiao A simple Taylor-series expansion method
for a class of second kind integral
equations . . . . . . . . . . . . . . . 15--24
Fasma Diele and
Ivonne Sgura Isospectral flows and the inverse
eigenvalue problem for Toeplitz matrices 25--43
K. N. Melnik and
R. V. N. Melnik Optimal-by-order quadrature formulae for
fast oscillatory functions with
inaccurately given a priori information 45--72
J. García-Melián and
J. Sabina de Lis and
M. Sanabria-García Eigenvalue analysis for the
$p$-Laplacian under convective
perturbation . . . . . . . . . . . . . . 73--91
Torsten Linß An upwind difference scheme on a novel
Shishkin-type mesh for a linear
convection--diffusion problem . . . . . 93--104
Alberto Cabada and
Susana Lois Existence of solution for discontinuous
third order boundary value problems . . 105--114
Yunkang Liu Numerical solution of the heat equation
with nonlocal boundary conditions . . . 115--127
Gong-Qin Zhu and
Jie-Qing Tan A note on matrix-valued rational
interpolants . . . . . . . . . . . . . . 129--140
Daniele Funaro and
Giuseppe Pontrelli Spline approximation of
advection--diffusion problems using
upwind type collocation nodes . . . . . 141--153
Zi-Cai Li Boundary penalty finite element methods
for blending surfaces --- II: Biharmonic
equations . . . . . . . . . . . . . . . 155--176
Clemens Elster Recovering wavefronts from difference
measurements in lateral shearing
interferometry . . . . . . . . . . . . . 177--180
Ronald E. Mickens Discretizations of nonlinear
differential equations using explicit
nonstandard methods . . . . . . . . . . 181--185
A. Ramage A multigrid preconditioner for
stabilised discretisations of
advection--diffusion problems . . . . . 187--203
Andreas Frommer and
Rosemary A. Renaut A unified approach to parallel space
decomposition methods . . . . . . . . . 205--223
Hans Babovsky Kinetic boundary layers: on the adequate
discretization of the Boltzmann
collision operator . . . . . . . . . . . 225--239
Zi-Cai Li and
Chia-Shen Chang Boundary penalty finite element methods
for blending surfaces, III.
Superconvergence and stability and
examples . . . . . . . . . . . . . . . . 241--270
Zhong-Zhi Bai and
D. J. Evans and
R. C. Calinescu A class of asynchronous multisplitting
two-stage iterations for large sparse
block systems of weakly nonlinear
equations . . . . . . . . . . . . . . . 271--286
A. A. Dorfmann Water waves diffraction by a circular
plate . . . . . . . . . . . . . . . . . 287--304
John Michael McNamee An updated supplementary bibliography on
roots of polynomials . . . . . . . . . . 305--306
Anonymous Index . . . . . . . . . . . . . . . . . 307--307
Anonymous Editorial . . . . . . . . . . . . . . . ix--ix
Roberto Barrio Characterization of low degree
$A$-stable symmetric RK collocation
methods . . . . . . . . . . . . . . . . 1--11
Arno Berger Rigorous error bounds for RK methods in
the proof of chaotic behaviour . . . . . 13--24
M. Calvo and
J. I. Montijano and
S. Gonzalez-Pinto On the existence of solution of stage
equations in implicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 25--36
M. Van Daele and
T. Van Hecke and
G. Vanden Berghe and
H. De Meyer Deferred correction with mono-implicit
Runge--Kutta methods for first-order
IVPs . . . . . . . . . . . . . . . . . . 37--47
Inmaculada Higueras and
Berta García-Celayeta Runge--Kutta methods for DAEs. A new
approach . . . . . . . . . . . . . . . . 49--61
Laurent O. Jay and
Thierry Braconnier A parallelizable preconditioner for the
iterative solution of implicit
Runge--Kutta-type methods . . . . . . . 63--76
Teo Roldán and
Inmaculada Higueras IRK methods for DAE: starting algorithms 77--92
Ernst Hairer and
Gerhard Wanner Stiff differential equations solved by
Radau methods . . . . . . . . . . . . . 93--111
George Hall and
Anila Usman Modified order and stepsize strategies
in Adams codes . . . . . . . . . . . . . 113--122
David J. López and
Pablo Martín and
José M. Farto Generalization of the Störmer method for
perturbed oscillators without explicit
first derivatives . . . . . . . . . . . 123--132
N. Del Buono and
L. Lopez Numerical methods for Hermitian unitary
differential systems . . . . . . . . . . 133--145
M. Puta and
I. Casu and
A. Voitecovici Constant Poisson structures and the
weighted Euler integrator . . . . . . . 147--152
Neville J. Ford and
Volker Wulf The use of boundary locus plots in the
identification of bifurcation points in
numerical approximation of delay
differential equations . . . . . . . . . 153--162
S. Maset Asymptotic stability in the numerical
solution of linear pure delay
differential equations as abstract
Cauchy problems . . . . . . . . . . . . 163--172
P. M. Lima and
M. P. Carpentier Iterative methods for a singular
boundary-value problem . . . . . . . . . 173--186
Nicholas Batens and
Roger Van Keer A numerical method for a free boundary
value problem arising from chemical
kinetics . . . . . . . . . . . . . . . . 187--199
D. Lanser and
J. G. Verwer Analysis of operator splitting for
advection--diffusion-reaction problems
from air pollution modelling . . . . . . 201--216
Frank Penzel A boundary integral method applied to a
convection--diffusion problem . . . . . 217--226
José Alberto Rodrigues Preconditioners for nonconforming domain
decomposition methods . . . . . . . . . 227--237
J. Santos and
P. de Oliveira A converging finite volume scheme for
hyperbolic conservation laws with source
terms . . . . . . . . . . . . . . . . . 239--251
Hennie De Schepper and
Roger Van Keer A finite element method for elliptic
eigenvalue problems in a multi-component
domain in $2$D with non-local Dirichlet
transition conditions . . . . . . . . . 253--265
Carlos J. S. Alves Numerical simulations on resonance poles
--- the trapping case of two plane
cracks . . . . . . . . . . . . . . . . . 267--279
Adélia Sequeira and
Margarida Baía A finite element approximation for the
steady solution of a second-grade fluid
model . . . . . . . . . . . . . . . . . 281--295
Victoria Iordan and
Stefan Balint Numerical capturing of some
hydrodynamical shocks . . . . . . . . . 297--303
Ricardo Riaza and
Pedro J. Zufiria Adaptive cellular integration of
linearly implicit differential equations 305--317
Anonymous Index . . . . . . . . . . . . . . . . . 319--319
Anonymous Index . . . . . . . . . . . . . . . . . 321--335
Anonymous Index . . . . . . . . . . . . . . . . . 337--356
Anonymous Editorial . . . . . . . . . . . . . . . 1--2
B. Bialecki and
P. Keast A sinc quadrature subroutine for Cauchy
principal value integrals . . . . . . . 3--20
Ronald Cools Monomial cubature rules since
``Stroud'': a compilation --- part 2 . . 21--27
Elise de Doncker and
Ajay Gupta and
Rodger R. Zanny Large-scale parallel numerical
integration . . . . . . . . . . . . . . 29--44
Kai Diethelm A method for the practical evaluation of
the Hilbert transform on the real line 45--53
G. A. Evans and
J. R. Webster A comparison of some methods for the
evaluation of highly oscillatory
integrals . . . . . . . . . . . . . . . 55--69
Alan Genz and
John Monahan A stochastic algorithm for
high-dimensional integrals over
unbounded regions with Gaussian weight 71--81
Bernhard Griener and
Hans Joachim Schmid An interactive tool to visualize common
zeros of two-dimensional polynomials . . 83--94
Sangwoo Heo and
Yuan Xu Constructing cubature formulae for
spheres and balls . . . . . . . . . . . 95--119
Michael Hill and
Ian Robinson \tt d2lri: a nonadaptive algorithm for
two-dimensional cubature . . . . . . . . 121--145
T. N. Langtry Lattice rules of minimal and maximal
rank with good figures of merit . . . . 147--164
Dirk P. Laurie Accurate recovery of recursion
coefficients from Gaussian quadrature
formulas . . . . . . . . . . . . . . . . 165--180
David Levin Stable integration rules with scattered
integration points . . . . . . . . . . . 181--187
J. N. Lyness and
L. M. Delves On the implementation of a modified
Sag--Szekeres quadrature method . . . . 189--200
G. Monegato and
L. Scuderi Numerical integration of functions with
boundary singularities . . . . . . . . . 201--214
Erich Novak and
Klaus Ritter and
Richard Schmitt and
Achim Steinbauer On an interpolatory method for high
dimensional integration . . . . . . . . 215--228
Takuya Ooura and
Masatake Mori A robust double exponential formula for
Fourier-type integrals . . . . . . . . . 229--241
T. N. L. Patterson Stratified nested and related quadrature
rules . . . . . . . . . . . . . . . . . 243--251
Knut Petras On the computation of the
Gauss--Legendre quadrature formula with
a given precision . . . . . . . . . . . 253--267
Avram Sidi Further convergence and stability
results for the generalized Richardson
extrapolation process GREP $^{(1)}$ with
an application to the $D$
$^{(1)}$-transformation for infinite
integrals . . . . . . . . . . . . . . . 269--290
Kristoffer Singstad and
Terje O. Espelid Integrating composed singularities using
nonuniform subdivision and extrapolation 291--308
Anonymous Index . . . . . . . . . . . . . . . . . 309--309
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
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
M. Milgram Comment on ``A new two-term relation for
the $_3 F_2$ hypergeometric function of
unit argument'' . . . . . . . . . . . . 437--438
Rainer Kress Corrigendum to ``On the numerical
solution of a hypersingular integral
equation in scattering theory'' [J.
Comput. Appl. Math. \bf 61 (1995)
345--360] . . . . . . . . . . . . . . . 3109--3109