Representation of differential operators in wavelet basis (Q1767820)
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scientific article; zbMATH DE number 2142364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of differential operators in wavelet basis |
scientific article; zbMATH DE number 2142364 |
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Representation of differential operators in wavelet basis (English)
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8 March 2005
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The paper under review provides a formula for matrix representations of general partial differential operators of the form \(g(\partial_x, \partial_y)\), where \(g\) is an arbitrary analytic function of two variables. The representations are done with respect to two-dimensional periodic orthonormal wavelet bases. In this sense, the paper generalizes the work of \textit{G. Beylkin} [SIAM J. Numer. Anal. 29, No. 6, 1716--1740 (1992; Zbl 0766.65007)].
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wavelets
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partial differential operators
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circulant
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block circulant
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