On the convergence behaviour of variable stepsize multistep methods for singularly perturbed problems (Q1770944)
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scientific article; zbMATH DE number 2153707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence behaviour of variable stepsize multistep methods for singularly perturbed problems |
scientific article; zbMATH DE number 2153707 |
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On the convergence behaviour of variable stepsize multistep methods for singularly perturbed problems (English)
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7 April 2005
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Singularly perturbed systems of second order are considered and solved numerically. The author proposes an \(A(\phi)\)-stable linear multistep method with variable stepsize and studies its convergence. A decoupling procedure is used in the analysis. Stability bounds for the non-autonomous linear problems are derived by a perturbation technique.
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stability
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convergence
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singular perturbation
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backward differentiation formulas
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linear multistep method
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variable stepsize
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0.9265293
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0.9141095
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0.9076053
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0.9066124
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0.90523756
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0.90491575
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