Computable error bounds for collocation methods (Q1345783)

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scientific article; zbMATH DE number 733300
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Computable error bounds for collocation methods
scientific article; zbMATH DE number 733300

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    Computable error bounds for collocation methods (English)
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    15 August 1995
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    Error bounds are given for the numerical solution of systems of linear ordinary differential equations by global or piecewise polynomial collocation methods. These improved bounds are computed by considering a norm of the inverse of a differential operator and hence of a related matrix. Some numerical results are given based on this approach using Chebyshev collocation points.
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    error bounds
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    systems of linear ordinary differential equations
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    collocation methods
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    numerical results
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    Chebyshev collocation
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