Monotone difference schemes for equations with mixed derivatives (Q2747634)
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scientific article; zbMATH DE number 1658092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone difference schemes for equations with mixed derivatives |
scientific article; zbMATH DE number 1658092 |
Statements
3 June 2003
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elliptic and parabolic equations
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alternating coefficients
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mixed derivatives
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monotone difference schemes
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unconditional stability
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Monotone difference schemes for equations with mixed derivatives (English)
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Elliptic and parabolic equations of arbitrary dimension with alternating coefficients at the mixed derivatives are considered. For such equations monotone difference schemes of the second order of local approximation are constructed. The suggested schemes satisfy the maximum principle. A priori stability estimates in the \(C\) norm without limitation on the grid steps \(\tau \) and \(h_\alpha ,\) \(\alpha = 1,2, \ldots ,p\) are obtained (unconditional stability). Some discrepancies in the numbering of formulas are easily overcome at close reading.
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