Three-layer factorized difference schemes and parallel algorithms for solving the system of linear parabolic equations with mixed derivatives and variable coefficients (Q2805246)
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scientific article; zbMATH DE number 6578856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-layer factorized difference schemes and parallel algorithms for solving the system of linear parabolic equations with mixed derivatives and variable coefficients |
scientific article; zbMATH DE number 6578856 |
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10 May 2016
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system of linear parabolic equations
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difference schemes
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convergence
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parallel computing
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numerical examples
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a priori error estimates
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Three-layer factorized difference schemes and parallel algorithms for solving the system of linear parabolic equations with mixed derivatives and variable coefficients (English)
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The authors consider a system of nonstationary parabolic equations with first-order boundary conditions and construct a three-layer factorized difference scheme whose solution does not require matrix inversion. The scheme is designed to work effectively on multiprocessing computing systems. The authors obtain a priori error estimates and prove convergence of their method. A pseudocode of their parallel algorithm is given and results of some computations are exhibited.
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0.8312031030654907
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