A convergence result for the Tau method (Q1123564)
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scientific article; zbMATH DE number 4110001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A convergence result for the Tau method |
scientific article; zbMATH DE number 4110001 |
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A convergence result for the Tau method (English)
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1989
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The authors show that the operational approach to the Tau method of \textit{E. L. Ortiz} and \textit{H. Samara} [ibid. 27, 15-25 (1981; Zbl 0449.65053)] turns out, in the most interesting cases, to a method of Galerkin-Petrov method. Thus, under the framework of the orthogonalized polynomial base with some weight function, the convergence of the Tau method follows from convergence theorems presented by \textit{G. Vainikho} [Funktionalanalysis der Diskretisierungsmethoden (1976; Zbl 0343.65023)].
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Tau method
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Galerkin-Petrov method
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convergence
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