Comparison of time and spatial collocation methods for the heat equation (Q1863685)

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scientific article; zbMATH DE number 1880340
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Comparison of time and spatial collocation methods for the heat equation
scientific article; zbMATH DE number 1880340

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    Comparison of time and spatial collocation methods for the heat equation (English)
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    12 March 2003
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    Two versions of the time collocation method (TCM) are compared, concerning the time discretization: TCM-EP with explicit polynomials and TCM-DQ with differential quadrature. The implementation on a shared memory parallel computer is discussed and numerical experiments are presented, including a comparison to a spectral collocation method.
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    heat equation
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    spectral method
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    collocation methods
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    differential quadrature
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    high-order compact scheme
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    iterative method
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    parallel algorithm
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    numerical experiments
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