On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes (Q1891945)
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scientific article; zbMATH DE number 761126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes |
scientific article; zbMATH DE number 761126 |
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On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes (English)
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11 December 1995
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Error bounds of approximate solutions of initial-boundary value problems for parabolic equations produced by finite difference schemes are considered. The sharpness of these bounds is established using a quantitative extension of the uniform boundedness principle. A general procedure for verifying the relevant resonance condition is proposed. Details are worked out for the Crank-Nicolson, DuFort-Frankel and Saulyev schemes.
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error bounds
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Crank-Nicolson method
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DuFort-Frankel method
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Saulyev method
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parabolic equations
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finite difference schemes
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resonance condition
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