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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)
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 implicit – finite difference time domain scheme. In this paper we discuss(More)
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)
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)
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)
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)