An algorithm for ODEs from atmospheric dispersion problems
type: Item
instance of: scholarly article
title: An algorithm for ODEs from atmospheric dispersion problems
zbMATH Open document ID: 0889.65085
DOI: 10.1016/S0168-9274(97)00055-X
author: J. Ning
published in: Applied Numerical Mathematics
publication date: 1998-06-18T00:00:00Z
review text: The authors compare the performance of three numerical algorithms (the numerical differentiation method due to \textit{R. W. Klopfenstein} [RCA Rev. 32, 447-510 (1971)], the second-order backward differentiation method, and the implicit-explicit multistep method) applied to the solution of large systems of ordinary differential equations (up to several tens of equations), arising from atmospheric dispersion problems by taking into account chemical reactions. The conclusion is that the method due to Klopfenstein, especially when combined with an appropriate Jacobi factorization and Gauss-Seidel iterations, can provide an efficient solution of the title problem.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 1088824
zbMATH Keywords: numerical differentiation method
zbMATH Keywords: second-order backward differentiation method
zbMATH Keywords: implicit-explicit multistep method
zbMATH Keywords: large systems of ordinary differential equations
zbMATH Keywords: chemical reactions
zbMATH Keywords: Jacobi factorization
zbMATH Keywords: Gauss-Seidel iterations
describes a project that uses: Matlab
describes a project that uses: Ode15s
describes a project that uses: ode113
describes a project that uses: MATLAB ODE suite
describes a project that uses: ode23
describes a project that uses: ode45
describes a project that uses: ode23s
describes a project that uses: KELLEY
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1088824