Approximation with frequency filter for backward parabolic equations (Q5943703)
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scientific article; zbMATH DE number 1652586
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation with frequency filter for backward parabolic equations |
scientific article; zbMATH DE number 1652586 |
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Approximation with frequency filter for backward parabolic equations (English)
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26 June 2002
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A numerical method for the initial and boundary value problem for the equation \(u_t+A u=0\) is proposed. \(A\) is an unbounded, selfadjoint operator with negative spectrum. To eliminate a parasite term growing very quickly with time, which may appear because of the approximation, the author applies a special finite difference equation with \(r\) free parameters.
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selfadjoint operator
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negative spectrum
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parasite term
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finite difference equation
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frequency filter
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backward parabolic equations
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initial and boundary value problem
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