Coefficient stability of three-level operator-difference schemes (Q1395269)
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scientific article; zbMATH DE number 1940644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coefficient stability of three-level operator-difference schemes |
scientific article; zbMATH DE number 1940644 |
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Coefficient stability of three-level operator-difference schemes (English)
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1 July 2003
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The authors consider three-level operator-difference schemes with weights in Hilbert spaces. A priori stability estimates are obtained for perturbations imposed on the operator of the Cauchy problem, on the initial conditions, and on the right-hand side of the equation. Coefficient stability in the \(L_2\) norm is analyzed by invoking the superposition principle, which makes it possible to discard the unnatural condition of \(\rho\)-stability.
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operator-difference schemes
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stability
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Cauchy problem
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perturbations
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Hilbert spaces
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