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- Jan G. Verwer, E. J. Spee, Joke G. Blom, Willem Hundsdorfer
- SIAM J. Scientific Computing
- 1999

- Jan G. Verwer
- SIAM J. Scientific Computing
- 1994

A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence. The technique is meant for implementation in stii solvers that are used in long range transport air pollution codes using operator splitting. Splitting necessarily gives rise to… (More)

- Jan G. Verwer, Ben P. Sommeijer
- SIAM J. Scientific Computing
- 2004

- J G Verwer, D Simpson
- 1994

The subject of research is the numerical integration of atmospheric chemical kinetics systems. The application lies in the study of air pollution, modelled by atmospheric chemistry-transport problems. This application puts high demands on the eeciency of the stii solver. Three explicit methods are discussed and compared for a selected chemical kinetics… (More)

Numerical integration of Maxwell's equations is often based on explicit methods accepting a stability step size restriction. In literature evidence is given that there is also a need for unconditionally stable methods, as exemplified by the successful alternating direction implicitfinite difference time domain scheme. In this paper we discuss… (More)

- J. G. Verwer
- 1996

In many applications, large systems of ordinary di erential equations (ODEs) have to be solved numerically that have both sti and nonsti parts. A popular approach in such cases is to integrate the sti parts implicitly and the nonsti parts explicitly. In this paper we study a class of implicit-explicit (IMEX) linear multistep methods intended for such… (More)

- J G Blom, J G Verwer
- 1993

This paper describes an ANSI FORTRAN 77 code, VLUGR2, vectorized for the Cray YMP, that is based on an adaptive-grid nite-diierence method to solve time-dependent two-dimensional systems of partial diierential equations.

- D. Lanser, J. G. Blom, J. G. Verwer
- 2000

The shallow water equations in spherical geometry provide a prototype for developing and testing numerical algorithms for atmospheric circulation models. In a previous paper we have studied a spatial discretization of these equations based on an Osher-type nite-volume method on stereographic and latitude-longitude grids. The current paper is a companion… (More)

- R. A. Trompert, Jan G. Verwer
- SIAM J. Scientific Computing
- 1993

- Mike A. Botchev, Jan G. Verwer
- SIAM J. Scientific Computing
- 2009

We study the numerical time integration of Maxwell’s equations from electromagnetism. Following the method of lines approach we start from a general semidiscrete Maxwell system for which a number of time-integration methods are considered. These methods have in common an explicit treatment of the curl terms. Central in our investigation is the question how… (More)