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- W Hundsdorfer, B Koren, M Van Loon, J G Verwer
- 1995

1 Abstract. This paper examines a class of explicit nite-diierence advection schemes derived along the method of lines. An important application eld is large-scale atmospheric transport. The paper therefore focuses on the demand of positivity. For the spatial discretization, attention is connned to conservative schemes using 5 points per direction. The 4-th… (More)

We study the numerical time integration of Maxwell's equations from electromag-netism. 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)

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)

- A Sandu, J G Verwer, J G Blom, E J Spee, G R Carmichael, F A Potra
- 1997

In the numerical simulation of atmospheric transport-chemistry processes, a major task is the integration of the stii systems of ordinary diierential equations describing the chemical transformations. It is therefore of interest to systematically search for stii solvers which can be identiied as close to optimal for atmospheric applications. In this paper… (More)

CWI's research has a theme-oriented structure and is grouped into four clusters. Listed below are the names of the clusters and in parentheses their acronyms. ABSTRACT 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… (More)

Due to the large number of chemical species and the three space dimensions, oo-the-shelf stii ODE integrators are not feasible for the numerical time integration of stii systems of advection-diffusion-reaction equations @c @t + r (uc) = r (K r c) + R (c) ; c = c(x; t); c 2 IR m ; x 2 IR 3 from the eld of air pollution modelling. This has led to the use of… (More)

- J G Verwer, J G Blom, M Van Loon, E J Spee, E J Spee Cwi
- 1994

In the operator splitting solution of atmospheric transport-chemistry problems modeling air pollution, a major task is the numerical integration of the stii ODE systems describing the chemical transformations. In this note a numerical comparison is presented between two special purpose solvers developed for this task. Note: This report is one of a series on… (More)

- P J F Berkvens, M A Botchev, W M Lioen, J G Verwer
- 2007

In air pollution dispersion models, typically systems of millions of equations that describe wind transport, chemistry and vertical mixing have to be integrated in time. To have more accurate results over specific fixed areas of interest—usually highly polluted areas with intensive emissions—a local grid refinement or zoom is often required. For the wind… (More)