Hyperinterpolation at Morrow–Patterson–Xu cubature points for the product Chebyshev measure provides a simple and powerful polynomial approximation method on rectangles. Here, we present an accurate and efficient Matlab/Octave implementation of the hyperinterpolation formula, accompanied by several numerical tests
Hyper2d: a numerical code for hyperinterpolation on rectangles
CALIARI, MARCO;DE MARCHI, STEFANO;VIANELLO, MARCO
2006
Abstract
Hyperinterpolation at Morrow–Patterson–Xu cubature points for the product Chebyshev measure provides a simple and powerful polynomial approximation method on rectangles. Here, we present an accurate and efficient Matlab/Octave implementation of the hyperinterpolation formula, accompanied by several numerical tests
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