Error analysis of splitting methods for inhomogeneous evolution equations (Q450906)
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scientific article; zbMATH DE number 6086871
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error analysis of splitting methods for inhomogeneous evolution equations |
scientific article; zbMATH DE number 6086871 |
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Error analysis of splitting methods for inhomogeneous evolution equations (English)
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26 September 2012
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Convergence properties of splitting methods for inhomogeneous evolution equations are studied in the framework of abstract Banach spaces of maximal dissipative operators. In particular, parabolic problems are studied with their spatial discretisations. The Lie-splitting and the trapezoidal splitting are shown to be first- and second-order accurate, respectively. Numerical results are given.
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splitting methods
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parabolic problems
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strongly continuous semigroups
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evolution equation
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Banach spaces
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maximal dissipative operators
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Lie-splitting trapezoidal splitting
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numerical results
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