The use of implicit methods for ODEs, e.g. implicit Runge-Kutta schemes, requires the solution of nonlinear systems of algebraic equations of dimension s โข m, where m is the size of the continuous differential problem to be approximated. Usually, the solution of this system represents the most time-
Efficient Implementation of Fully Implicit Methods for Atmospheric Chemical Kinetics
โ Scribed by A. Sandu; F.A. Potra; G.R. Carmichael; V. Damian
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 302 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0021-9991
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โฆ Synopsis
tational time. In [21] Verwer et al. use a sparse version of VODE. Their treatment of sparsity is based on the netlib Implicit integrators are very useful in efficiently solving stiff systems of ODEs arising from atmospheric chemistry kinetics, provided package SLAP.
that they are modified to take full advantage of the structure of the In this paper we develop a systematic way of exploiting problem. A systematic way of treating sparsity for reducing the sparsity when integrating atmospheric chemistry equalinear algebra cost is presented. แฎ 1996 Academic Press, Inc.
tions. Unlike [13], our target is not a specialized architecture; we concentrate on developing machine-independent algorithms. In section 3 we discuss and evaluate reordering Several authors [6, 13,21] report good results with non-1
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