An adaptive algorithm for spectral computations on unbounded domains (Q1201721)

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scientific article; zbMATH DE number 98378
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An adaptive algorithm for spectral computations on unbounded domains
scientific article; zbMATH DE number 98378

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    An adaptive algorithm for spectral computations on unbounded domains (English)
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    17 January 1993
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    The authors consider a spectral rational function method and a method based on domain truncation combined with the Fourier series method for solving differential equations on unbounded domains. Both these methods contain a free parameter which can automatically adapt at regular time levels to maintain optimal accuracy. Numerical tests illustrate that this method is effective and robust.
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    adaptive algorithm
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    spectral method
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    numerical tests
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    evolution equations
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    optimal parameter
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    automatic algorithm
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    updating algorithm
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    spectral rational function method
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    domain truncation
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    Fourier series method
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    unbounded domains
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    optimal accuracy
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