Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices (Q1297772)

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scientific article; zbMATH DE number 1336365
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Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices
scientific article; zbMATH DE number 1336365

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    Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices (English)
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    14 September 1999
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    The authors prove a result concerning the convergence of splittings for the iterative solutions of a system of linear equations with a symmetric tridiagonal matrix and use it to derive the standard result for the theta method for the discrete heat equation, a result to which it must be equivalent.
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    iterative methods
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    convergence
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    heat equation
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    splittings
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    theta method
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    tridiagonal Toeplitz matrices
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