A spectral method for the time evolution in parabolic problems (Q861716)
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scientific article; zbMATH DE number 5119745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral method for the time evolution in parabolic problems |
scientific article; zbMATH DE number 5119745 |
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A spectral method for the time evolution in parabolic problems (English)
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30 January 2007
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The author develops an improved approximation for solving time-dependent inhomogeneous parabolic initial-boundary value problems. The method is based on a Chebyshev series expansion. Having relaxed the stability criterion the spectral accuracy in time is achieved. The approximation derived in the paper can be useful for solving quasi-linear parabolic evolution problems by exponential time differencing methods.
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spectral methods
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Chebyshev expansion
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parabolic initial-boundary value problem
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stability
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quasi-linear parabolic evolution problems
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exponential time differencing methods
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