Analysis of smoothing operators in the solution of partial differential equations by explicit difference schemes (Q920602)
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scientific article; zbMATH DE number 4164076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of smoothing operators in the solution of partial differential equations by explicit difference schemes |
scientific article; zbMATH DE number 4164076 |
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Analysis of smoothing operators in the solution of partial differential equations by explicit difference schemes (English)
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1990
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The authors give a systematical analysis of smoothing operators. For a parabolic and a hyperbolic model problem, they derive a family of optimal operators which result in a substantial amplification of the maximal stable integration step of arbitrary explicit time integrators when applied to the smoothed problem. Numerical examples show that the stability behaviour is comparable with that of the Crank-Nicolson method.
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method of lines
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explicit integration methods
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smoothing operators
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explicit time integrators
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Numerical examples
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stability
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Crank-Nicolson method
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0.92115295
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0.9080993
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0.9076891
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0.9028413
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0.89283884
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