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Adaptive Bivariate Chebyshev Approximation |
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| Authors: | Alvise Sommariva Marco Vianello and Renato Zanovello |
| Institution: | (1) Department of Pure and Applied Mathematics, University of Padova, via Belzoni 7, 35131 Padova, Italy |
| Abstract: | We propose an adaptive algorithm which extends Chebyshev series approximation to bivariate functions, on domains which are smooth transformations of a square. The method is tested on functions with different degrees of regularity and on domains with various geometries. We show also an application to the fast evaluation of linear and nonlinear bivariate integral transforms. |
| Keywords: | bivariate functions Chebyshev series expansion adaptive approximation bivariate integral transforms fast evaluation |
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