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Convergence of linear multistep methods for two-parameter singular perturbation problems - MaRDI portal

Convergence of linear multistep methods for two-parameter singular perturbation problems (Q5942764)

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scientific article; zbMATH DE number 1643571
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Convergence of linear multistep methods for two-parameter singular perturbation problems
scientific article; zbMATH DE number 1643571

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    Convergence of linear multistep methods for two-parameter singular perturbation problems (English)
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    19 March 2002
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    The authors study convergence of linear multistep methods for the numerical integration of initial value two-parameter singular perturbation problems for systems or ordinary differential equations. They report results for truncation error bounds for \(A(\alpha)\)-stable linear multistep methods including effects of inaccurate initial conditions and provide illustrative numerical examples.
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    convergence
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    stability
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    linear multistep methods
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    singular perturbation
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    systems
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    error bounds
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    numerical examples
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