Mean-square estimates for the error of a projection-difference method for parabolic equations (Q5954732)
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scientific article; zbMATH DE number 1701718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean-square estimates for the error of a projection-difference method for parabolic equations |
scientific article; zbMATH DE number 1701718 |
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Mean-square estimates for the error of a projection-difference method for parabolic equations (English)
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13 September 2002
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This paper continues the studies of the mean-square convergence of a projection-difference method for parabolic equations in Hilbert space. The spatial discretization of the problem is performed by the Galerkin method, and the Crank-Nicolson scheme is used to approximate the problem in time. Effective in space and time, mean-square estimates are obtained for the error of the approximate solution.
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parabolic equations
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projection-difference methods
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mean-square convergence
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Hilbert space
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error bounds
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Galerkin method
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Crank-Nicolson scheme
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