\(A(\Theta)\)-stable approximation of abstract Cauchy problems (Q1326452)
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scientific article; zbMATH DE number 569161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(A(\Theta)\)-stable approximation of abstract Cauchy problems |
scientific article; zbMATH DE number 569161 |
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\(A(\Theta)\)-stable approximation of abstract Cauchy problems (English)
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7 July 1994
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We study the approximation of linear parabolic Cauchy problems by means of Galerkin methods in space and \(A(\Theta)\)-stable multistep schemes of arbitrary order in time. The error is evaluated in the norm of \(L^ 2_ t(H^ 1_ x) \cap L^ \infty_ t (L^ 2_ x)\).
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error estimates
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stability
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linear parabolic Cauchy problems
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Galerkin methods
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multistep schemes
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0.9028327
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0.8892814
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0.8838537
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0.88351405
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0.8828534
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0.8825486
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0.88106275
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