Operator-difference schemes for a class of systems of evolution equations (Q1947765)
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scientific article; zbMATH DE number 6158159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operator-difference schemes for a class of systems of evolution equations |
scientific article; zbMATH DE number 6158159 |
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Operator-difference schemes for a class of systems of evolution equations (English)
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26 April 2013
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The Cauchy problem for a system of evolution equations of first order is considered. The time discretization of the system by a two-time-level difference scheme is derived and proven to be unconditionally stable. Further, the second class of discretization based on an explicit-implicit difference scheme is considered. The explicit-implicit approximation is used for isolated equations of the system. The regularization, stability and splitting of such schemes are discussed.
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boundary-value problem
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discrete time approximation
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Cauchy problem
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spatial approximation
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two-time-level weighted operator-difference scheme
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splitting scheme
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skew-symmetric operator
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system of evolution equations
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regularization
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stability
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