# Contents of IMA Journal of Numerical Analysis

This file contains the tables of contents from issues of the IMA Journal of Numerical Analysis. Coverage begins in 1991 (volume 11) and continues to the present.

## Volume 11, Number 1. January 1991.

Squared Givens rotation
R Dohler

Mesh selection in collocation for boundary value problems
K Wright, A H A Ahmed and A H Seleman

Numerical solvability of Hammerstein integral equations of mixed type
M Ganesh and M.C. Joshi

Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel
A Karageorghis and T N Phillips

A simple and effective self-adaptive moving mesh for enthalpy formulations of phase change problems
D B Duncan

Solving shallow water equations by a mixed implicit finite element method
A Bermudez, C Rodriguez, and M A Vilar

A finite element Galerkin method for a unidimensional single-phase nonlinear Stefan problem with Dirichlet boundary conditions
A K Pani and P C Das

Finite-element methods for a strongly damped wave equation
S Larsson, V Thomee, and L Wahlbin

## Volume 11, Number 2. April 1991.

Some applications of the boundary locus method and the method of D-partitions
C T H Baker and N J Ford

The approximation of a composite Bezier cubic curve by a composite Bezier quadratic curve
M G Cox and P M Harris

The factorization of sparse symmetric indefinite matrices
I S Duff, N I M Gould, J K Reid, J A Scott, and K Turner

Complex dynamics of convergence acceleration
A Iserles

Finite volume methods and their analysis
K W Morton and E Suli

High-order finite-difference schemes to solve Poisson's equation in polar coordinates
R C Mittal and S Gahlaut

Product integration rules at Clenshaw-Curtis and related points: a robust implementation

Corrigendum: High -order embedded Runge-Kutta-Nystrom formulae (Original paper in Vol 7, 423-430)
J R Dormand, M E A El-Mikkawy and P J Prince

## Volume 11, Number 3. July 1991.

An algorithm for large-scale quadratic programming
N I M Gould

A modified BFGS algorithm for unconstrained optimization
Y Yuan

Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions
R H Chan

Some new four-step exponential-fitting methods for the numerical solution of the radial Schrodinger equation
T E Simos

Sinc-collocation methods for two-point boundary value problems
B Bialecki

A priori error estimates for a single-phase quasilinear Stefan problem on one space dimension
A K Pani and P C Das

On the best least squares approximation of continuous functions using linear splines with free knots
P D Loach and A J Wathen

Least squares smoothing of univariate data to achieve piecewise monotonicity
I C Demetriou and M J D Powell

The minimum sum of squares change to univariate data that gives convexity
I C Demetriou and M J D Powell

## Volume 11, Number 4. October 1991.

A new class of results for the algebraic equations of implicit Runge-Kutta processes
J M Sanz-Serna and D F Griffiths

Global error versus tolerance for explicit Runge-Kutta methods
D J Higham

An algorithm for optimal l2 scaling of matrices
G A Watson

An exact Riemann solver for a fluidized bed model
I Christie and C Palencia

Optimal H 1 estimates for two time-discrete Galerkin approximations of a nonlinear Schrodinger equation
Y Tourigny

A box method for a nonlinear equation of population dynamics
G Fairweather and J C Lopez-Marcos

Dynamics of semi-discretizations of the defocusing nonlinear Schrodinger equation
M J Ablowitz, B M Herbst and J A C Weideman

Stability properties and spurious period two solutions in a numerical scheme for a reaction- diffusion equation with nonlinear diffusion
S W Schoombie

Finite element approximation of a rigid punch indenting a membrane
J W Barrett, R Chakrabarti and C M Elliott

A Hermite-type collocation method for the solution of an integral equation with a logarithmic singular kernel
T Diego, S McKee and T Tang

## Volume 12, Number 1. January 1992.

Stability of methods for matrix inversion
J J Du Croz and N J Higham

Stability, convergence and conditioning of stationary iterative methods of the form x^(i+1) = Px^(i)+ q for the solution of linear systems
M Arioli and F Romani

Uniform convergence of a collocation method for the numerical solution of Cauchy-type singular integral equations: a generalization
J A Cuminato

The P-version penalty finite element method
W Han

Weak nonlinear stability of implicit Runge-Kutta methods
G J Cooper

Approximation methods in the computer numerically controlled fabrication of optical surfaces. Part I: finite dimensional material removal profile spaces
C A Hall and T A Porsching

A method for obtaining sequence transformations

Chebyshev approximation by spline functions with free knots
B Mulansky

Univariate interpolation on a regular finite grid by a multiquadric plus a linear polynomial
R K Beatson and M J D Powell

## Volume 12, Number 2. April 1992.

Automatic Hessians by reverse accumulation
B Christianson

An effective method for computing regression quantiles
M R Osborne

Quadrature methods for logarithmic-kernel integral equations on closed curves
J Saranen and I H Sloan

Average quadrature formulas of Gauss type

An a posteriori estimation for the solution of elliptic boundary value problems by means of upwind FEM
L Angermann

Stable upwind schemes for hyperbolic conservation laws with source terms
A Chalabi

Stability analysis of multilag and modified multilag methods for Volterra integrodifferential equations
V L Bakke and Z Jackiewicz

Approximation methods in the computer numerically controlled fabrication of optical surfaces, Part 2: mollifications
C A Hall and T A Porsching

Algorithms for surface fitting using Powell-Sabin splines
P Dierckx, S Van Leemput and T Vermeire

Decoupling of bidiagonal systems involving singular blocks
R M M Mattheij

## Volume 12, Number 3. July 1992.

On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
D F Griffiths, P K Sweby, and H C Yee

On the dynamics of a discretized neutral equation
M D Buhmann and A Iserles

Convergent and spurious solutions of nonlinear elliptic equations
T Murdoch and C J Budd

On zeros of Hankel determinants with iterated polynomial entries
A Iserles, E B Saff, and Xiaoyan Liu

Structure of solution manifolds in a strongly coupled elliptic system
J Lopez-Gomez, K N Duncan, J C Eilback, and M Molina

Computational bifurcation of periodic solutions in systems with symmetry
M Dellnitz

A note on uniform in time error estimates for approximations to reaction-diffusion equations
J M Sanz-Serna and A M Stuart

## Volume 12, Number 4. October 1992.

Variational bounds on the entries of the inverse of a matrix
P D Robinson and A J Wathen

Unified approach to spurious solutions introduced by time discretization Part II; BDF-like methods
A Iserles and A M Stuart

Solving two point boundary value problems with spline functions
G Mullenheim

Fast evaluation of the gamma function for small rational functions using complete elliptic integrals of the first kind
J M Borwein and I J Zucker

Numerical solutions for functional integral equations
B Cahlon and D Schmidt

On steady and large time solutions of the semi-discrete Moving Finite Element equations for one-dimensional diffusion problems
P K Jimack

Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
C Bernardi, V Girault and Y Maday

## Volume 13, Number 1. January 1993.

Errors and perturbations in Vandermonde systems
J M Varah

Local error estimates for radial basis function interpolation of scattered data
Z-M Wu and R Schaback

On the Sloan iteration applied to integral equations of the first kind
I G Graham and K E Atkinson

Numerical analysis of boundary integral solution of the Helmholtz equation in domains with non-smooth boundaries
Chen Ke and S Amini

Convergence and stability of quadrature methods applied to Volterra equations with delay
C T H Baker and M S Derakhshan

A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
T Tang

The stability of the block theta-methods
L Lu

Finite difference discretization of the cubic Schrodinger equation
G D Akrivis

The re-iterated Galerkin method
D Porter and D S G Stirling

Discretization of a convection-diffusion equation
K W Morton and I J Sobey

## Volume 13, Number 2. April 1993.

Mixed block elimination for linear systems with wider borders
Govaerts W and Pryce J D

A numerical method for the computation of Faber polynomials and starlike domains
Papamichael N, Soares M J and Stylianopoulos

The discrete collocation method for nonlinear integral equations
Atkinson K and Flores J

FFT solution of the Robbins problem
Pickering W M and Harley P J

A globally convergent multi-grid algorithm for moving boundary problems of two-phase Stefan type
Hoppe R H W

Uniformly third-order accurate TVNE interpolation
Zhao N and Dai J

Spurious solutions of numerical methods for initial value problems
Humphries A R

On the stability of continuous quadrature rules for differential equations with several constant delays
Torelli L and Vermiglio R

Patritioning strategies in Runge-Kutta type methods
Weiner R, Arnold M, Rentrop P, and Strehmel K

## Volume 13, Number 3. July 1993.

On the Barzilai and Borwein choice of steplength for the gradient method
Raydan M

Curve interpolation with nonlinear spiral splines
Coope I D

On the numerical computation of the derivatives of a B-spline series
Tsao N K and Sun T C

An algorithm for data reduction using splines with free knots
Hu Y

Best Chebyshev approximation from families of ordinary differential equations
Williams J and Kalogiratou Z

Global extrapolation integrators for solving Sturm-Liouville problems by shooting
Hosea M E and Shampine L F

A new pseudospectral method with upwind features
Huang W and Sloan D M

A spectrum enveloping technique for convection-diffusion computations
Manoranjan V S and Drake R

An asymptotic analysis of two algorithms for certain Hadamard finite-part integrals
Elliott D

On the numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces
Rodriguez G and Seatzu S

Error estimates for generalized compound quadrature formulas
Koehler P

## Volume 13, Number 4. October 1993.

Shape preserving C^2 cubic spline interpolation
Pruess S

Some uniform and stability and convergence results for integral equations on the real line and projection methods for their solution
Chandler-Wilde S N

The chi-method for the Navier-Stokes equation
Achdou Y and Pironneau O

A numerical method using the Prufer transformation for the calculation of eigenpairs of two parameter Sturm-Liouville problems
Binding P A, Browne P J, and Ji X

A global negative result on algebraic stability and a special positive result on linear stability of generalized IRK methods
Fuchs P M

A fourth-order cubic spline method for linear second-order two-point boundary value problems
Sloan I H, Dat Tran, and Fairweather G

## Volume 14, Number 1. January 1994.

Testing for effects of asymmetry and instability on preconditioned iterations of conjugate gradient type
Simpson R B

Global error estimates for exponential splitting
Qin Sheng

A Chebyshev collocation method for solving Symm's integral equation for conformal mapping: a partial error analysis
Levesley J, Hough D M, and Chandler-Wilde S N

Nystrom interpolants based on the zeros of Legendre polynomials for a non-compact integral operator equation
Mastroianni G and Monegato G

Locking in finite-element approximations to long thin extensible beams
Semper B

On a domain decomposition for the transport equation: theory and finite element approximation
Gastaldi F and Gastaldi L

Steady-state/Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point
Wu W, Spence A, and Cliffe K A

## Volume 14, Number 2. April 1994.

Branch switching at a corank-4 bifurcation point of semi-linear elliptic problems with symmetry
Allgower E, Bohmer K, and Zhen M

The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problems
van Dorsselaer J L M and Spijker M N

Properties of optimal schemes for linear 1D PDE initial-value hyperbolic problems with variable coefficients
Chiang Y-L F

Numerical analysis of pseudospectral methods for the Kuramoto-Sivashinsky equation
Lopez-Marcos M A

An error estimate for a finite-element scheme for a phase field model
Chen Z and Hoffmann K-H

A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
Miller J J H and Wang S

The positive and nearly conservative Lagrange-Galerkin method
Priestley A

Low-order methods for Cauchy principal value integrals with endpoint singularities
Potra F A and Venturino E

## Volume 14, Number 3. July 1994.

A fully discrete and symmetric boundary element method.
McLean W and Sloan I H

Computing stability regions --- Runge-Kutta methods for delay differential equations.
Baker C T H and Paul C A H

On the error of general linear methods for stiff dissipative differential equations.
Hundsdorfer W

Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point.
Beyn W-J

A rapid method for the identification of the free boundary in two-phase Stefan problems.
Mannikko T, Neittaanmaki P, and Tiba D

Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems.
French D A and Jensen S

On the convergence of conjugate gradient algorithms.
Pytlak R

## Volume 14, Number 4. October 1994.

The numerical solution of a nonlinear boundary integral equation on smooth surfaces.
Atkinson K E

On the approximate evaluation of Hadamard finite-part integrals.
Delbourgo D and Elliott D

A Nystr\"om method for the numerical solution of Laplace's equation with nonlinear boundary conditions on a polygon.
Doucette R L

An analysis of the coupling of finite-element and Nystr\"om methods in acoustic scattering.
Kirsch A and Monk P

A finite-difference method for the spectral approximation of a class of singular two-point boundary value problems.
Abu-Zaid I T and El-Gebeily M A

A Newton basis GMRES implementation.
Bai Z, Hu D, and Reichel L

Newton's iteration for nonlinear equations in Markov chains.
Latouche G

On Mason's conjecture concerning interpolation by polynomials in $z$ and $z^{-1}$ on an annulus.
Pan K

## Volume 15, Number 1. January 1995.

Constructive analysis of Takens-Bogdanov points with $Z_2$-symmetry.
Janovsky V and Werner B

Rate of convergence of numerical approximations to homoclinic bifurcation points.
Schecter S

Non-autonomous Riccati-type matrix differential equations: existence interval, construction of continuous numerical solutions and error bounds.
Jodar L and Ponsoda E

A finite-difference algorithm for an inverse Sturm-Liouville problem.
Fabiano R H, Knobel R, and Lowe B D

On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems.
Miller J J H, O'Riordan E, and Shishkin G I

Analysis of a supraconvergent cell vertex finite-volume method for one-dimensional convection-diffusion problems.
Garcia-Archilla B and Mackenzie J A

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems.
Sun G and Stynes M

The educational testing problem revisited.
Chu M T and Wright J W

## Volume 15, Number 2. April 1995.

Error estimates for the finite-element solution of an elliptic singularly perturbed problem.
Angermann L

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems II: convection-diffusion-type problems.
Sun G and Stynes M

Time integration of the non-linear Galerkin method.
Garcia-Archilla B and de Frutos J

Computation and parameterization of periodic and connecting orbits.
Moore G

Numerical analysis of subspace-breaking Takens-Bogdanov points
Janovsky V and Plechac P

An alternating projections method for certain linear problems in a Hilbert space.
Glunt W K

## Volume 15, Number 3. July 1995.

Some properties of the recursive projection and interpolation algorithms.
Messaoudi A

Oscillation theory and numerical solution of fourth-order Sturm-Liouville problems.
Greenberg L and Marletta M

Stability of collocation for weakly singular Volterra equations.
Blank L

High-order fully discrete methods for the equations of elastic wave propagation with absorbing boundary conditions.
Makridakis C G

Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis.
Wang H, Ewing R E, and Russell T F

## Volume 15, Number 4. October 1995.

An error bound for the modified successive overrelaxation method.
Martins M M and Trigo M E

Approximation of non-monotone multivalued differential inclusions.
Miettinen M and Haslinger J

Numerical approximation of a metastable system.
Carr J, Duncan D B, and Walshaw C H

Pseudospectral coollocation methods for fourth-order differential equations.
Malek A and Phillips T N

Linearly implicit time dicretization of non-linear parabolic equations.
Lubich Ch and Ostermann A

A grid algorithm for bound constrained optimization of noisy functions.
Elster C and Neumaier A

## Volume 16, Number 1. January 1996.

Optimal backward perturbation bounds for the linear least-squares problem with multiple right-hand sides.
Sun J-G

On approximate approximations using Gaussian kernels.
Maz'ya V and Schmidt G

Parallel solution of variational inequality problems with nonlinear source terms.
Hoffmann K-H and Zou J

Global error estimation with adaptive explicit Runge-Kutta methods.
Calvo M, Higham D J, Montijano, J I, and Randez L

Convergence rates and classification for one-dimensional finite-element meshes.
Selwood P M and Wathen A J

A parallel iterative nonoverlapping domain decomposition procedure for elliptic problems.
Yang D

Convergence rates for the coupling of FEM and collocation BEM.
Brink U and Stephan E P

Numerical analysis of a model for phase separation of a multicomponent alloy.
Blowey J F, Copetti M I M, and Elliott C M

## Volume 16, Number 2. April 1996.

Pivoting strategies leading to small bounds of the errors for certain linear systems.
Pena J M

Convergence properties of the Fletcher-Reeves method.
Dai Y H and Yuan Y

Numerical simulations of measurements of capillary contact angles.
Bellettini G and Paolini M

P-stability and exponential-fitting methods for $y''=f(x,y)$.
Coleman J P and Ixaru L Gr

Finite-difference schemes for scalar conservation laws with source terms.
Schroll H J and Winther R

Error estimates and extrapolation for the numerical solution of Mellin convolution equations.
Rathsfeld A

An error bound for the finite-element approximation of a model for phase separation of a multi-component alloy.
Barrett J W and Blowey J F

Set convergence for discretizations of the attractor.
Hill A T and S\"uli E

## Volume 16, Number 3. July 1996.

Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems.
Meerbergen K. and Roose D

Finite-element error estimates for the MAC scheme
Girault V and Lopez H

Optimal eigenvalue and asymptotic large-time approximations using the moving finite-element method.
Jimack P K

Mixed finite-element methods for Hamilton-Jacobi-Bellman-type equations.
Milner F A and Park E-J

Monotonous enclosures for the Thomas-Fermi equation in the isolated neutral atom case.
Al-Zanaidi M, Grossmann, C., and Voller R L

Numerical methods for steady-state mode interactions.
Aston P J and Sittampalam A G

## Volume 16, Number 4. October 1996.

New perturbation analyses for the Cholesky factorization.
Chang X-W, Paige C C, and Stewart G W

Convergence of parallel AOR and GAOR methods applied to H-matrices.
Wang X

A tree-based analysis of a family of augmented systems for the computation of singular points.
Kunkel P

A note on the conditioning of upwind schemes on Shishkin meshes.
Roos H-G

Convergence of vortex methods in a bounded domain using linear finite elements.
Zhang P

Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws.
Sonar T

Von Neumann stability conditions for the convection-diffusion equation.
Wesseling P

## Volume 17, Number 1. January 1997.

On the perturbation of LU and Cholesky factors.
Stewart G W

The triangular matrices of Gaussian elimination and related decompositions.
Stewart G W

Stability analysis of Runge-Kutta methods for systems of delay differential equations.
in't Hout K J

Pointwise error estimates for a streamline diffusion scheme on a Shishkin mesh for a convection-diffusion problem.
Guo W and Stynes M

A unified Riemann-problem-based extension of the Warming-Beam and Lax-Wendroff schemes.
Toro E F and Billett S J

The method of lines for parabolic differential-functional equations.
Zubik-Kowal B

Multilevel preconditioning for perturbed finite element matrices.
Axelsson O, Hakopian Yu R, and Kuznetsov, Yu A

## Volume 17, Number 2

Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods
Stein O

The multidimensional positive and nearly conservative Lagrange-Galerkin method Part II: the use of $C^1$ elements
Priestley A

On the symmetric boundary element method and the symmetric coupling of boundary elements and finite elements
Carstensen C and Wriggers P

On the numerical solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method
Kacur J and Van Keer R

Use of extrapolation for improving the order of convergence of eigenelement approximations
Kulkarni R P

Stability of the approximation of a regular solution branch
Caloz G

Monotone interpolation of order 3 by $C^2$ cubic splines
Manni C and Sablonni\`ere P

A multigrid-type method for thin plate spline interpolation on a circle
Goodsell G

## Volume 17, Number 3.

An algorithm for computing the numerical radius. pp 329-342
Chunyang He and Watson G A

Fast evaluation of radial basis functions: methods for two-dimensional polyharmonic splines. pp 343-372
Beatson R K and Light W A

Shape-preserving interpolation in $R^3$. pp 373-419
Kaklis P D and Karavelas M I

On convergence rates for the iteratively regularized Gauss-Newton method. pp 421-436
Blaschke B, Neubauer A, and Scherzer O

Convergence estimates for the numerical approximation of homoclinic solutions. pp 436-462
Sandstede B

A discrete Galerkin method for a hypersingular boundary integral equation. pp 463-478
Chien D D-K and Atkinson K

Generalized compound quadrature formulae for finite-part integrals. pp 479-493
Diethelm K

## Volume 17, Number 4. October 1997.

Iterative refinement for linear systems and LAPACK. pp 495-510
Higham N J

A modification of the Chebyshev method. pp 511-525
Ezquerro J A

Implicit algorithms and their linearisation for the transient incompressible Navier-Stokes equations. pp 527-546
Smith A and Silvester D

Post processing with computable error bounds for finite element approximation of a nonlinear heat conduction problem. pp 547-561
Ainsworth M, Kelly D W, Sloan I H, and Wang S

On the stability and convergence of discretisations of initial value pde's. pp 563-576
Giles M

On robust exponential convergence of $hp$ finite element methods for problems with boundary layers. pp 577-602
Melenk J M

Hierarchical basis methods for hypersingular integral equations. pp 603-619
Thang Cao

Nystr\"om interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations. pp 621-642
Mastroianni G and Monegato G

Quadrature methods for Symm's integral equation on polygons. pp 643-664
Elschner J and Graham I G

## Volume 18, Number 1. January 1998.

A "taut string algorithm" for straightening a piecewise linear path in two dimensions. pp 1-35
Powell M J D P

On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations. pp 37-56
Argyros I K

Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems. pp 57-75
Cano B and Sanz-Serna J M

The discretized flow on domains of attraction: a structural stability result. pp 77-90
Garay B M

Implicit finite difference schemes for a linear model of well-reservoir coupling. pp 91-120
Cazenave T and Dickstein F

A mixed finite element method for a nonlinear Dirichlet problem. pp 121-132
Farhloul M

Convergent finite elements for a class of nonconvex variational problems. pp 133-149
Kawohl B and Schwab C

Geometric meshes and their application to Volterra integro-differential equations with singularities. pp 151-164
Hu Q

## Volume 18, Number 2. April 1998.

Solution of sparse quasi-square rectangular systems by Gaussian elimination. pp 165-177
Cardenal J, Duff I S, and Jimenez J M

On a finite difference method for singular two-point boundary value problems. pp 179-190
El-Gebeily M A and Abu-Zaid I T

Orthogonal collocation for a nonlinear integro-differential equation. pp 191-206
Ganesh M and Spence A

An optimal multilevel preconditioner for solenoidal approximations of the two-dimensional Stokes problem. pp 207-228
Oswald P

Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. pp 229-250
Feng X

Computable error bounds for pointwise derivatives of a Neumann problem. pp 251-271
Wang S, Sloan I H, and Kelly D W

The method of fundamental solutions for Signorini problems. pp 273-285
Poullikkas A, Karageorghis A, and Georgiou G

Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix. pp 287-328
Barrett J W and Blowey J F

Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods: Erratum pp 329-330
Stein O

## Volume 18, Number 3. July 1998.

On the limiting profile arising from orthonormalizing shifts of exponentially decaying functions. pp 331-354
Goodman, T. N. T., Micchelli, C. A., Rodriguez, G., and Seatzu, S.

Augmented penalty algorithms. pp 355-372
Dussault J-P

Wrap-around partitioning for block bidiagonal linear systems. pp 373-383
Hegland, M. and Osborne, M. R.

Preconditioned iterative methods for coupled discretizations of fluid flow problems. pp 385-397
Vasconcelos P B and d'Almeida F D

Delay dependent stability regions of $\THETA$-methods for delay differential equations. pp 399-418
Guglielmi N

Operator splitting for abstract Cauchy problems. pp 419-443
Bjorhus M

An accuracy barrier for stable three-time-level difference schemes for hyperbolic equations. pp 445-484
Jeltsch, R, Renaut, R A, and Smit, J H

## Volume 18, Number 4. October 1998.

Error analysis in interpolation by bivariate $C^1$-splines. pp 485-507
N\"urnberger, G. and Walz, G.

On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem. pp 509-518
Zhong-Zhi Bai

Polynomial acceleration of the Picard-Lindel\"of iteration. pp 519-543
Hyv\"onen, S.

Rational matrix approximation with {\it a priori} error bounds for non-symmetric matrix Riccati equations with analytic coefficients. pp 545-561
J\'odar L and Cort\'es L\'opez J C

Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. pp 563-594
Eymard, R., Gallou\"et, T., Ghilani, M. and Herbin, R.

Convergence of a fully discrete approximation for advected mean curvature flows. pp 595-634
K\"uhn T.

Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary. pp 635-654
Deckelnick, K. and Elliott, C. M.

## Volume 19, Number 1.

Schur complement preconditioners for anisotropic problems. pp 1-17
Giraud L. and Tuminaro, R.S.

$l_1$ solution of linear inequalities. pp 19-37
Pinar, M. C. and Chen, B.

On functional iteration methods for solving nonlinear matrix equations arising in queueing problems. pp 39-49
Favati, P. and Meini, B.

Numerical continuation of degenerate homoclinic orbits in planar systems. pp 51-75
Freire, E., Pizarro, L., and Rodr\'iguez-Luis, A.J.

Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms. pp 77-89
Shen, W.

A new time treatment for solving partial integro-differential equations of radiative transport. pp 91-103
Frankel, J. I. and Osborne, G. E.

Discrete methods in the study of an inverse problem for Laplace's equation. pp 105-118
Fasino, D. and Inglese, G.

Solution to strongly nonlinear parabolic problems by a linear approximation scheme. pp 119-145
Kacur, J.

An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy. pp 147-168
Barrett, J.W. and Blowey, J.F.

## Volume 19, Number 2.

Qualitative properties of modified equations. pp 169-190
Gonzalez, O., Higham, D.J. and Stuart, A.M.

A posteriori computation of the singular vectors in a preconditioned Jacobi SVD algorithm. pp 191-213
Drmac, Z.

An iterative pertubation method for saddle point problems. pp 215-231
Daoqi Yang

Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid. pp 233-249
Mackenzie, J.

A multidomain discretization method with local mesh refinement. pp 251-271
Meddahi, S. and Márquez, A.

Two-level Schwarz method for unilateral variational inequalities. pp 273-290
Tarvainen, P.

An analysis of a preconditioner for the discretized pressure equation arising in reservoir simulation. pp 291-316
Cai X., Nielsen, B. F., and Tveito, A.

The distribution of points on the sphere and corresponding cubature formulae. pp 317-334
Fliege, J. and Maier, U.

## Volume 19, Number 3. July 1999.

Stability and performance analysis of a block elimination solver for bordered linear systems. pp 335-348
Yalamov, P.Y. and Paprzycki, M.

Stability of Runge-Kutta methods for delay differential systems with multiple delays. pp 349-356
Guang-Da Hu, Guang-Di Ju, Meguid, S.A.

Fast iterative methods for symmetric Sinc-Galerkin systems. pp 357-373
Ng, M.K.

Algorithms for constructing stable manifolds of stationary solutions. pp 375-424
Moore, G. and Hubert, E.

An $hp$ finite element method for convection-diffusion problems in one dimension. pp 425-453
Melenk, J.M. and Schwab, C.

Inertial manifolds of parabolic differential equations under higher-order discretizations. pp 455-471
van Dorsselaer, J.L.M. and Lubich, C.

A qualocation method for parabolic partial differential equations. pp 473-495
Pani, A.K.

## Volume 19, Number 4. October 1999.

A new approach to symmetric rank-one updating. pp 497-508
Osborne, M.R. and Sun, L.

Conservative methods for the Toda lattice equations. pp 509-523
Calvo, M.P., Iserles, A. and Zanna, A.

Direct computation of period doubling bifurcation points of large-scale systems of ODEs using a Newton-Picard method. pp 525-547
K. Engelborghs, K. Lust, and D. Roose

LU implementation of the modified minimal polynomial extrapolation method for solving linear and nonlinear systems. pp 549-561

A finite element method for a unidimensional single-phase nonlinear free boundary problem in groundwater flow. pp 563-581
Dong Liang and Bo Zhang

Convergence analysis of the immersed interface method. pp 583-608
Huaxiong Huang and Zhilin Li

An unconditionally stable splitting scheme for a class of nonlinear parabolic equations. pp 609-636
Karlsen, K.H. and Lie K.-A.

Stability and convergence of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-dominated diffusion problems. pp 637-663
Baker, M.D., S\"uli, E. and Ware, A.F.

## Volume 20, Number 1. January 2000.

Domain decomposition algorithms for indefinite weakly singular integral equations: the $h$ and $p$ versions. pp 1-24
E.P. Stephan and T. Tran

Numerical solution of boundary integral equations by means of attenuation factors. pp 25-46
M. Reifenberg and J-P. Berrut

Centred TVD schemes for hyperbolic conservation laws. pp 47-79
E.F. Toro and S.J. Billett

Numerical methods for Stefan problems with prescribed convection and nonlinear flux. pp 81-98
Z. Chen, T. Shih and X. Yue

$\epsilon$-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. pp 99-121
P.W. Hemker, G.I. Shishkin and L.P. Shishkina

Convergence of Newton's method and uniqueness of the solution of equations in Banach space. pp 123-134
Wang Xinghua.

One-step and multistep procedures for constrained minimization problems. pp 135-152
J. Schropp

Dissipativity of Runge-Kutta methods for dynamical systems with delays. pp 153-166
Huang Chengming

## Volume 20, Number 2. April 2000.

Non-smooth data error estimates for linearly implicit Runge-Kutta methods. pp 167-184
A. Ostermann and M. Thalhammer

On the perturbation of the zeros of complex polynomials. pp 185-201
R. Sch\"atzle

Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary element methods. Part I. The two-dimensional case. pp 203-234
B. Faermann

The numerical integration of relative equilibrium solutions. The nonlinear Schr\"odinger equation pp 235-261
A. Dur\'an and J.M. Sanz-Serna

An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems. pp 263-280
C. Clavero, J.C. Jorge, F. Lisbona and G.I. Shishkin

On a coupled finite element-finite volume method for convection-diffusion problems. pp 281-301
M. Sardella

The planar radiosity equation and its numerical solution. pp 303-332
K. Atkinson