This file contains the tables of contents for all issues of Advances in Computational Mathematics, ISSN 1019 7168, Editors-in-Chief John C. Mason and Charles A. Micchelli.

pp. 1-37:
Continuous refinement equations and subdivision

W. Dahmen & C. A. Micchelli

pp. 39-60:
Preconditioning in implicit initial value problem methods on
parallel computers

P. J. van der Houwen

pp. 61-80:
Approximation properties of a multilayered feedforward artificial
neural network

H. N. Mhaskar

pp. 81-108:
Hunting for homoclinic orbits in reversible systems: a shooting
technique

A. R. Champneys & A. Spence

pp. 109-126:
Wavelet bases for a set of commuting unitary operators

T.N.T. Goodman, S. L. Lee & W. S. Tang

pp. 127-137:
Sparse matrix multiplication package (SMMP)

R. E. Bank & C. C. Douglas

pp. 139-171:
Knot insertion algorithms for piecewise polynomial spaces
determined by connection matrices

P. J. Barry, R. N. Goldman & C. A. Micchelli

pp. 173-196:
Shape preserving representations and optimality of the
Bernstein basis

J.M. Carnicer & J.M. Pena

pp. 197-214:
Wavelet-compression and nonlinear n-widths

R.A. DeVore, G. Kyriazis, D. Leviatan & V. M. Tikhomirov

pp. 215-221:
Subdivision algorithms with nonnegative masks generally converge

D. E. Gonsor

pp. 223-239:
Error bounds for the finite element approximation of a
degenerate quasilinear parabolic variational inequality

W.B. Liu & J.W. Barrett

pp. 241-258:
Construction of polynomials that are orthogonal with respect to
a discrete bilinear form

L. Reichel

pp. 259-335:
Wavelet approximation methods for pseudodifferential equations
II: Matrix compression and fast solution

W. Dahmen, S. Prossdorf and R. Schneider

pp. 337-356:
Eigenvalues of the discretized Navier-Stokes equation with
application to the detection of Hopf bifurcations

K.A. Cliffe, T.J. Garratt and A. Spence

pp. 357-366:
Least squares and Chebyshev fitting for parameter estimation in ODEs

J. Williams and Z. Kalogiratou

pp. 367-394:
Parallel continuous Runge-Kutta methods and vanishing lag delay
differential equations

C.T.H. Baker and C.A.H. Paul

pp. 1-21:
NURBS approximation of surface / surface intersection curves

C.L. Bajaj and G. Xu

pp. 23-40:
Elastic curves on the sphere

G. Brunnett and P.E. Crouch

pp. 41-66:
Pythagorean-hodograph space curves

R.T. Farouki and T. Sakkalis

pp. 67-80:
A weak condition for the convexity of tensor-product Bezier and
B-spline surfaces

M.S. Floater

pp. 81-99:
Least squares surface approximation to scattered data using
multiquadratic functions

R. Franke, H. Hagen and G.M. Nielson

pp. 101-122:
Triangular finite elements of HCT type and class Cr

M. Laghchim-Lahlou and P. Sablonniere

pp. 123-142:
Helix splines as an example of affine Tchebycheffian splines

H. Pottmann and M.G. Wagner

pp. 143-154:
Convergence of subdivision and degree elevation

H. Prautzsch and L. Kobbelt

pp. 155-184:
Numerical solution of eigenvalue problems for Hamiltonian systems

M. Marletta

pp. 185-214:
Continuous two-scale equations and dyadic wavelets

C.K. Chui and X. Shi

pp. 215-222:
Some remarks on completely vectorizing point Gauss-Seidel while
using the natural ordering

C.C. Douglas

pp. 223-234:
A lacunary interpolation algorithm on arbitrary points

E. Venturino

pp. 235-250:
Wachspress type rational complex planar splines of degree (3,1)

H.P. Dikshit, A. Ojha and R.A. Zalik

pp. 251:
Table-based tests for Bessel function software

A.J. Macleod

pp. 261-277:
A parallel implementation of the restarted GMRES iterative
algorithm for nonsymmetric systems of linear equations

R. Dias da Cunha and T. Hopkins

pp. 279-317:
Time-marching numerical schemes for the electric field integral
equation on a straight thin wire

P.J. Davies and D.B. Duncan

pp. 319-341:
Acceleration property for the E-algorithm and an application to
the summation of series

M. Prevost

pp. 343-355:
Hankel operators and best Hankel approximation on the half-plane

X. Li

pp. 357-373:
Parallel globally adaptive quadrature on the KSR-1

J.M. Bull and T.L. Freeman

pp. 375-391:
A planar minimax algorithm for analysis of co-ordinate measurements

D. Zwick

pp. 393-405:
The solution of orthogonal Procrustes problems for a family of
orthogonally invariant norms

G.A. Watson

pp. 407-436:
Numerical methods for eighth-, tenth- and twelfth-order
eigenvalue problems arising in thermal instability

E.H. Twizell, A. Boutayeb and K. Djidjeli

pp. 437-459:
Convexity of parametric Bezier surfaces in terms of Gaussian
curvature signatures

Z. Cheng and C.K. Chui

pp. 461-477:
A general extrapolation procedure revisited

C. Brezinski and M. Redivo-Zaglia

pp. 479-491:
On local and global sigma-pi neural networks. A common link

B. Lenze

pp. 1-22:
Two-scale symbol and autocorrelation symbol for B-splines with
multiple knots

G. Plonka

pp. 23-40:
Perturbed collocation and symplectic RKN methods

G. Ramaswami

pp. 41-58:
An algebraic approach to approximate evaluation of a polynomial
on a set of real points

V.Y. Pan

pp. 59-88:
An introduction to second degree forms

P. Maroni

pp. 89-100:
A unified approach to B-spline recursions and knot insertion,
with application to new recursion formulas

G. Walz

pp. 101-113:
A mixed finite element for the Stokes problem using
quadrilateral elements

M. Farhloul and M. Fortin

pp. 115-135:
Evaluation of a boundary integral representation for the
conformal mapping of the unit disk onto a simply-connected domain

S.N. Chandler-Wilde, J. Levesley and D.M. Hough

pp. 137-145:
Characterization of compactly supported refinable splines

W. Lawton, S.L. Lee and Z. Shen

pp. 147-170:
Curve design with rational Pythagorean-hodograph curves

H. Pottmann

pp. 309-342:
Subdivision schemes in Lp spaces

R.-Q. Jia

pp. 343-352:
A new stepsize strategy for explicit Runge-Kutta codes

G. Hall

pp. 353-368:
A generalization of de Boor's
stability result and symmetric preconditioning

K. Jetter and J. Stoeckler

pp. 369-374:
The polynomial topological complexity of
Fatou-Julia sets

C.T. Chong

pp. 375-394:
A generalization
of the variation diminishing property

J.M. Carnicer, T.N.T. Goodman and J.M. Pena

pp. 393-404:
Multivariate convexity preserving interpolation
by smooth functions

J.M. Carnicer

pp. 405-424:
Control
curves and knot insertion for trigonometric splines

P.E. Koch, T. Lyche, M. Neamtu and L.L. Schumaker

Numerical stability of biorthogonal wavelet transforms

F. Keinert

Numerical solution of the incompressible
Navier--Stokes equations by Krylov subspace and multigrid methods

S. Zeng, C. Vuik and P. Wesseling

On divergence-free wavelets

K. Urban

Sparse-grid finite-volume multigrid for 3D-problems

P.W. Hemker

A two-level additive Schwarz preconditioner for the
stationary Stokes equations

S.C. Brenner

Analysis of preconditioning and multigrid for
Euler flows with low-subsonic regions

B. Koren and B. van Leer

Multilevel preconditioning -- Appending boundary conditions by
Lagrange multipliers

A. Kunoth

Tensor product type subspace splittings and
multilevel iterative methods for anisotropic problems

M. Griebel and P. Oswald

pp. 207-260:
On multivariate Hermite interpolation

T. Sauer and Y. Yu

pp. 261-282:
Convergence estimates for the wavelet-Galerkin
method: superconvergence at the node points

S.M. Gomes

pp. 283-292:
Compactly supported positive definite radial functions

Z.Wu

pp. 293-330:
Wavelets on irregular meshes

F. Plantevin

pp. 331-356:
Multilevel preconditioning on the refined interface and
optimal boundary solvers for the Laplace equation

B.N. Khoromskij and S. Proessdorf

pp. 357-388:
On the construction of wavelets on a bounded interval

G. Plonka, K. Selig and M. Tasche

pp. 389-396:
Piecewise polynomial, positive definite and compactly
supported radial functions of minimal degree

H. Wendland

pp. 1-14:
Parallel factorization of banded
linear matrices using a systolic array processor

I.J. Anderson and S.K. Harbour

pp. 15-30:
The analysis of multigrid algorithms for cell centered finite
difference methods

J.H. Bramble, R.E. Ewing, J.E. Pasciak and J. Shen

pp. 31-50:
Reconstruction of signals from multiscale edges

M.L. Varas S.

pp. 51-94:
Spherical wavelet transform and its discretization

W. Freeden and U. Windheuser

pp. 95-124:
Analytic wavelets generated by radial functions

C.K. Chui, J. Stoeckler and J.D. Ward

Hybrid misclassification minimization

C. Chen and O.L. Mangasarian

Chebyshev approximation by discrete superposition. Application to neural
networks

M. Nees

Networks and closed balls

J.L. Noakes

Hyperbolic sigma-pi neural network operators for compactly supported
continuous functions

B. Lenze

Some remarks on greedy algorithms

R.A. DeVore and V.N. Temlyakov

Nonlinearity creates linear independence

Y. Ito

Solvable models of layered neural networks based on their differential structure

S. Watanabe

Limitations of the approximation capabilities of neural networks with one
hidden layer

C.K. Chui, X. Li and H.N. Mhaskar

Critical points for least-squares problems involving certain analytic functions,
with applications to sigmoidal nets

E.D. Sontag

Linear unlearning for cross-validation

L.K. Hansen and J. Larsen

pp. 1-24:
Iterative methods for solving Ax = b, GMRES/FOM versus QMR/BiCG

Jane Cullum

pp. 25-45:
Bivariate segment approximation and splines

G. Meinardus, G. Nürnberger and G. Walz

pp. 47-64:
Numerical solution of Cauchy-type integral equations of index

Jose A. Cuminato

pp. 65-76:
A collocation method for singularly perturbed two-point boundary value problems
with splines in tension

Miljenko Marusic and Mladen Rogina

pp. 77-86:
Complexity reduction of least squares problems involving special Vandermonde
matrices

T. Tommasini

pp. 87-96:
Interpolation regions for convex cubic curve segments

Jörg Peters

pp. 97-108:
Barycentric coordinates for convex polytopes

Joe Warren

pp. 109-138:
A finite element method for interface problems in domains with smooth boundaries
and interfaces

James H. Bramble and J. Thomas King

pp. 139-157:
Derivative corrections for quadrature formulas

William F. Ford, Yuesheng Xu and Yunhe Zhao

pp. 159-189:
A subspace preconditioning algorithm for eigenvector/eigenvalue computation

James H. Bramble, Joseph E. Pasciak and Andrew V. Knyazev

pp. 191-206:
C^r -finite elements of Powell-Sabin type on the three direction mesh

M. Laghchim-Lahlou and P. Sablonniere

Preface

E. H. Twizell

Foreword: JOHN CRANK

Jack Howlett

JOHN CRANK: his association with Brunel University

J. C. Newby

pp. 207-226:
A practical method for numerical evaluation of solutions of
partial differential equations of the heat-conduction type

J. Crank and P. Nicolson

pp. 227-242:
Atmospheric diffusion: some new mathematical models

P. C. Chatwin, D. M. Lewis and N. Mole

pp. 243-262:
Galerkin methods for a semilinear parabolic problem with nonlocal boundary
conditions

G. Fairweather and J. C. Lopez-Marcos

pp. 263-279:
The stability of boundary conditions for an angled-derivative difference scheme

K. W. Morton and N. A. Burgess

pp. 281- 293: The role of the Crank-Gupta model in the theory of free
and moving boundary problems

J. R. Ockendon

pp. 295-308:
The role of the Crank-Gupta model in the theory of free
and moving boundary problems

K. A. Pericleous, M. Cross, G. Moran, P. Chow and K. S. Chan

pp. 309-323:
Towards adaptive finite element schemes for partial
differential Volterra equation solvers

Simon Shaw and J. R. Whiteman

pp. 325-331:
Mathematical modelling of binder removal from
plastically-formed engineering ceramics

J. H. Song, M. J. Edirisinghe and J. R. G. Evans

pp. 333-352:
Second-order, L_0-stable methods for the heat equation
with time-dependent boundary conditions

E. H. Twizell, A. B. Gumel and M. A. Arigu

pp. 353-363:
Time-stepping algorithms for semidiscretized linear
parabolic PDEs based on rational approximants with distinct real poles

D. A. Voss and A. Q. M. Khaliq

pp. 1-31:
Parallel methods for ODEs

Kevin Burrage

pp. 5-26:
Parallel ODE solvers based on block BVMs

Pierluigi Amodio and Luigi Brugnano

pp. 27-36:
A parallel stiff ODE solver based on MIRKs

Claus Bendtsen

pp. 37-57:
Parallel iterated methods based on multistep Runge-Kutta
methods of Radau type

K. Burrage and H. Suhartanto

pp. 59-77:
Parallel iterated method based on multistep Runge-Kutta of
Radau type for stiff problems

K. Burrage and H. Suhartanto

pp. 79-96:
Order and stability of parallel methods for stiff problems

J. C. Butcher

pp. 97-133:
DIMSEMs - diagonally implicit single-eigenvalue methods for
the numerical solution of stiff ODEs on parallel computers

Robert F. Enenkel and Kenneth R. Jackson

pp. 135-156:
Remarks on the optimal convolution kernel for CSOR
waveform relaxation

Min Hu, Ken Jackson, Jan Janssen and Stefan Vandewalle

pp. 157-181:
Parallel linear system solvers for Runge-Kutta methods

P. J. van der Houwen and J. J. B. de Swart

pp. 183-197:
Waveform relaxation methods for implicit differential equations

P. J. van der Houwen and W. A. van der Veen

pp. 199-233:
The Petrov--Galerkin method for second kind integral
equations II: multiwavelet schemes

Zhongying Chen, Charles A. Micchelli and Yuesheng Xu

pp. 235-259:
Adaptive finite element for semi-linear
convection--diffusion problems

L. Pouly and J. Pousin

pp. 261-277:
Error analysis of mixed finite elements for cylindrical
shells

Geng Yang, Michel C. Delfour and Michel Fortin

pp. 279-294:
The compass (star) identity for vector-valued rational
interpolants

P.R. Graves-Morris and B. Beckermann

pp. 295-301:
Sensitivity analysis of the differential matrix Riccati
equation based on the associated linear differential system

Mihail Konstantinov and Vera Angelova

pp. 303-335:
A new theoretically motivated higher order upwind scheme
on unstructured grids of simplices

Monika Wierse

pp. 337-360:
Interior estimates for a low order finite element method
for the Reissner--Mindlin plate model

Douglas N. Arnold and Xiaobo Liu

pp. 361-382:
Stepsize selection for tolerance proportionality in
explicit Runge--Kutta codes

M. Calvo, D.J. Higham, J.I. Montijano and L. Rández

pp. 383-399:
Spectral properties of matrix continuous refinement
operators

Qingtang Jiang and S.L. Lee

pp. 401-428:
Orthogonality properties of linear combinations of
orthogonal polynomials II

Francisco Marcellan, Franz Peherstorfer and Robert Steinbauer

pp. 429-454:
Spectral factorization of Laurent polynomials

Tim N.T. Goodman, Charles A. Micchelli, Giuseppe Rodriguez and Sebastiano Seatzu

pp. 455-545:
Regularity of multiwavelets

C.A. Micchelli and Thomas Sauer

pp. 547-571:
Discrete qualocation methods for logarithmic-kernel
integral equations on a piecewise smooth boundary

Y. Jeon, I.H. Sloan, E.P. Stephan and J. Elschner

pp. 573-592:
Numerical treatment of retarded differential--algebraic
equations by collocation methods

R. Hauber

pp. 593-621:
Distances between oriented curves in geometric modeling

Przemyslaw Bogacki, Stanley Weinstein and Yuesheng Xu

pp. 1-17:
Affine frames, quasi-affine frames, and their duals

Charles K. Chui, Xianliang Shi and Joachim Stoeckler

pp. 19-31:
Numerical integration of 2-D integrals based on local bivariate C1
quasi-interpolating splines

C. Dagnino and P. Lamberti

pp. 33-48:
Numerical solution of generalized Lyapunov equations

Thilo Penzl

pp. 49-63:
Invariant smoothness measures for surfaces

Even Mehlum and Christian Tarrou

pp. 65-96:
An almost monotone approximation for a nonlinear two-point boundary value
problem

Ben-yu Guo and Yuan-ming Wang

pp. 97-110:
Parallel implementation of the p-version of the finite element method for
elliptic equations on a shared-memory architecture

Tadeusz J. Janik

pp. 111-135:
Fast computations with the harmonic Poincare--Steklov operators on nested
refined meshes

Boris N. Khoromskij and Siegfried Proessdorf

pp. 137-163
Stability results for scattered-data interpolation on Euclidean spheres

F.J. Narcowich, N. Sivakumar and J.D. Ward

pp. 165-177
Nonlinear corner-cutting

Lyle Noakes

pp. 179-192
On the fast approximation of some nonlinear operators in nonregular wavelet spaces

J. Liandrat and Ph. Tchamitchian

pp. 193-219
On a vector q-d algorithm

D.E. Roberts

pp. 221-247
Symmetric orthonormal scaling functions and wavelets with dilation factor 4

Bin Han

pp. 249-265
The best m-term approximation and greedy algorithms

V.N. Temlyakov

pp. 267-289

Formal vector orthogonal polynomials

pp. 291-315
Vandermonde type determinants and blossoming

Marie-Laurence Mazure

pp. 317-334
The Cayley transform in the numerical solution of unitary differential
systems

F. Diele, L. Lopez and R. Peluso

pp. 335-344
Experiments in stepsize control for Adams linear multistep methods

David R. Willé

pp. 345-352
The dual basis functions for the Bernstein polynomials

Bert Jüttler

pp. 353-366
The Cr-fundamental splines of Clough--Tocher and Powell--Sabin types for
Lagrange interpolation on a three direction mesh

Mohammed Laghchim-Lahlou

pp. 367-380
Minimal cubature formulae for a family of radial weight functions

Yuan Xu

pp. 381-399
Convergence order estimates of meshless collocation methods using radial
basis functions

Carsten Franke and Robert Schaback

Introduction

Kendall Atkinson and Yuesheng Xu

pp 1-20: Numerical exploitation of symmetry in integral equations

Eugene L. Allgower and Kurt Georg

pp 21-35: Recursive generation of the Galerkin--Chebyshev matrix for convolution
kernels

Davis K. Cope

pp 37-67: Observations on the numerical stability of the Galerkin method

Allan G. Dallas, G.C. Hsiao and R.E. Kleinman

pp 69-95: The method of fundamental solutions for elliptic boundary value problems

Graeme Fairweather and Andreas Karageorghis

pp 97-115: New boundary element formulas for the biharmonic equation

Youngmok Jeon

pp 117-129: An acceleration method for integral equations by using interpolation
post-processing

Qun Lin, Shuhua Zhang and Ningning Yan

pp 131-144: The preconditioned GMRES method for systems of coupled FEM-BEM equations

Patrick Mund and Ernst P. Stephan

pp 145-171: Multiwavelet approximation methods for pseudodifferential equations on
curves. Stability and convergence analysis

Siegfried Prössdorf and Jörg Schult

pp 173-190: Multi-parameter extrapolation methods for boundary integral equations

Ulrich Rüde and Aihui Zhou

pp 191-216: The construction of some efficient preconditioners in the boundary element
method

O. Steinbach and W.L. Wendland

pp 217-232: Second-kind integral formulations of the capacitance problem

Johannes Tausch and Jacob White

pp 233-249: Wavelet-based preconditioners for boundary integral equations

Thanh Tran, Ernst P. Stephan and Stefan Zaprianov

pp. 115-133
Runge--Kutta--Nyström-type parallel block predictor--corrector methods

Nguyen Huu Cong, Karl Strehmel, Rüdiger Weiner and Helmut Podhaisky

pp. 135-167
Optimal discrete and continuous mono-implicit Runge--Kutta schemes for
BVODEs

P.H. Muir

pp. 169-186
A class of modified block SSOR preconditioners for symmetric positive
definite systems of linear equations

Zhong-Zhi Bai

pp. 187-208
A Chebyshev polynomial method for line integrals with singularities

J.C. Mason and E. Venturino

pp. 209-217
Degree estimates for Ck-piecewise polynomial subdivision surfaces

Hartmut Prautzsch and Ulrich Reif

pp. 95-131
On the detection of singularities of a periodic function

H.N. Mhaskar and J. Prestin

pp. 133-149
Some results for a class of generalized polynomials

Serena Morigi and Marian Neamtu

pp. 151-174
A fast matrix-vector multiplication method for solving the radiosity
equation

Kendall Atkinson and David Da-Kwun Chien

pp. 175-187
Asymptotic convergence of degree-raising

Michael S. Floater and Tom Lyche

pp. 189-211
Parameterization of m-channel orthogonal multifilter banks

Qingtang Jiang

pp. 213-227
Weak greedy algorithms

V.N. Temlyakov

pp. 229-250
Diagonally implicit Runge-Kutta methods for 3D shallow water applications

P.J. van der Houwen and B.P. Sommeijer

pp. 251-259
Convergence of Galerkin method solutions of the integral equation for thin
wire antennas

Bryan P. Rynne

pp. 261-272
Modified Mini finite element for the Stokes problem in R2 or R3

Yongdeok Kim and Sungyun Lee

Submissions of articles and proposals for special issues are to be addressed to the Editors-in-Chief:

John C. Mason

School of Computing & Mathematics

University
of Huddersfield

Queensgate

Huddersfield HD1 3DH

England

E-mail: j.c.mason@hud.ac.uk

or

Charles A. Micchelli

Mathematical Sciences Department

IBM
Research Center

P.O. Box 218

Yorktown Heights NY 10598

USA

E-mail: cam@yktvmz.bitnet

Requests for free specimen copies and orders for Advances in Computational Mathematics are to be sent to: E-mail: publish@baltzer.nl

Last modified March 20, 2000
*Douglas N. Arnold,
*