Stability criteria for finite difference approximations to parabolic systems (Q1973830)
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scientific article; zbMATH DE number 1441200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability criteria for finite difference approximations to parabolic systems |
scientific article; zbMATH DE number 1441200 |
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Stability criteria for finite difference approximations to parabolic systems (English)
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1 May 2001
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The stability of the finite difference solution to a system of homogeneous, linear, parabolic, multidimensional partial differential equations is analyzed. The author summarizes some results obtained in earlier papers. The time discretization is a one-step-\(\vartheta\)-scheme, the discretization in space is a centered difference method. Stability is studied in terms of the mesh size ratios \(\Delta t/\Delta x^2_i\), where \(\Delta x_i\) is the mesh size in the \(i\)th direction of space.
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finite difference method
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stability
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theta method
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