We propose an adaptive algorithm which extends Chebyshev series approximation to bivariate functions on domains which are smooth transformations of a square. We apply the method for evaluating efficiently the action of linear and nonlinear bivariate integral operators.
Adaptive bivariate Chebyshev approximation and efficient evaluation of integral operators
SOMMARIVA, ALVISE;VIANELLO, MARCO;ZANOVELLO, RENATO
2004
Abstract
We propose an adaptive algorithm which extends Chebyshev series approximation to bivariate functions on domains which are smooth transformations of a square. We apply the method for evaluating efficiently the action of linear and nonlinear bivariate integral operators.
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