On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation (Q1029126)
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scientific article; zbMATH DE number 5577091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation |
scientific article; zbMATH DE number 5577091 |
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On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation (English)
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9 July 2009
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The purpose of the paper is to derive specific stability bounds for certain classical linear interpolatory multiresolution algorithms within \textit{A. Harten}'s general framework [SIAM J. Numer. Anal. 33, No. 3, 1205--1256 (1996; Zbl 0861.65130)] which are based on piecewise polynomial centered Lagrange interpolation. First, the authors rewrite the linear prediction operator based on piecewise polynomial centered Lagrange interpolation in a convenient way for their forthcoming study. Next,the stability issues is studied and other possible approaches are considered. Numerical examples are also presented.
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stability
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multiresolution
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piecewise Lagrange interpolation
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