Numerical hyperinterpolation over nonstandard planar regions
نویسندگان
چکیده
We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a function sampled at the cubature nodes. The method is applicable to nonstandard regions where OPs are not known analytically, for example convex and concave polygons, or circular sections such as sectors, lenses and lunes. 2000 AMS subject classification: 41A63, 42C05, 65D10, 65D32
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ورودعنوان ژورنال:
- Mathematics and Computers in Simulation
دوره 141 شماره
صفحات -
تاریخ انتشار 2017