Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations (Q1361228)
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scientific article; zbMATH DE number 1038648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations |
scientific article; zbMATH DE number 1038648 |
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Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations (English)
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9 September 1997
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The existence of a sequence of stable solutions \(X_n\) of the parametric matrix equation \(Z^2+AZ-n^2B=0\) so that \(X_n/n\) converges to a stable matrix is studied. The result is used to solve mixed problems related to the coupled second-order partial differential system \(u_{tt}+Au_{xx}+Bu_t=0\).
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matrix equation
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stable solution
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stable matrix
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second-order system of partial differential equations
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error bounds
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0.97337806
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0.94889885
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0.92245924
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0.9013005
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0.89834386
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0.89511585
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0.89493376
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