Geometric meshes in collocation methods for Volterra integral equations with proportional delays (Q2763935)
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scientific article; zbMATH DE number 1693408
| Language | Label | Description | Also known as |
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| English | Geometric meshes in collocation methods for Volterra integral equations with proportional delays |
scientific article; zbMATH DE number 1693408 |
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Geometric meshes in collocation methods for Volterra integral equations with proportional delays (English)
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27 October 2002
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local superconvergence
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linear second-kind Volterra integral equations
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collocation methods
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The authors analyse the local superconvergence properties of iterated piecewise polynomial collocation solutions for linear second-kind Volterra integral equations with (vanishing) proportional delays. It is shown that on suitable geometric meshes collocation at the Gauss points leads to almost optimal superconvergence at the mesh points; in contrast with uniform meshes.NEWLINENEWLINENEWLINEThe superconergence results are illustrated by a Volterra equation, which is solved by three collocation methods.
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