On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations (Q1090091)
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scientific article; zbMATH DE number 4007655
| Language | Label | Description | Also known as |
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| English | On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations |
scientific article; zbMATH DE number 4007655 |
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On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations (English)
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1987
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[For a corrigendum see ibid. 3, 361-362 (1987; reviewed below).] This paper presents an odd-even hopscotch scheme for the numerical integration of time dependent partial differential equations. The interesting thing in this paper is that the critical time step is independent of the diffusion parameter. The authors also consider the drawback of the Du Fort-Frankel accuracy deficiency of the hopscotch scheme. Numerical examples are given for the analysis of the proposed numerical algorithm.
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leapfrog-Du Fort-Frankel method
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convection-diffusion equations
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global Richardson extrapolation
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von Neumann stability
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odd-even hopscotch scheme
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Numerical examples
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