B-convergence of the implicit midpoint rule and the trapezoidal rule (Q1069677)
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scientific article; zbMATH DE number 3936405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | B-convergence of the implicit midpoint rule and the trapezoidal rule |
scientific article; zbMATH DE number 3936405 |
Statements
B-convergence of the implicit midpoint rule and the trapezoidal rule (English)
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1985
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Bounds are obtained for the global discretization error of the implicit midpoint and trapezoidal methods using arbitrary variable stepsizes. In the case of constant stepsizes these results prove second order optimal B-convergence for both methods.
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stiff problems
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error bounds
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implicit midpoint method
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trapezoidal methods
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variable stepsizes
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second order optimal B-convergence
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0.8241953
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0.8164866
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0.8105815
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0.80819947
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0.8080741
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