Uniform pointwise convergence of finite difference schemes using grid equidistribution (Q5937568)
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scientific article; zbMATH DE number 1619819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform pointwise convergence of finite difference schemes using grid equidistribution |
scientific article; zbMATH DE number 1619819 |
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Uniform pointwise convergence of finite difference schemes using grid equidistribution (English)
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4 November 2001
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The author considers a singularly perturbed quasilinear two-point boundary value problem and discretizes it using an upwind finite difference scheme on an adaptive mesh obtained using grid equidistribution of a monitor function. He derives sufficient conditions on the monitor function to guarantee uniform convergence in the discrete maximum norm independently of the perturbation parameter. Some simple numerical experiments are presented.
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quasilinear convection-diffusion
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singular perturbation
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layer-adapted mesh
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grid equidistribution
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quasilinear two-point boundary value problem
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upwind finite difference scheme
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uniform convergence
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numerical experiments
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