Title of article :
Polynomial interpolation and cubature over polygons
Author/Authors :
Gentile، نويسنده , , M. and Sommariva، نويسنده , , A. and Vianello، نويسنده , , M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
We have implemented a Matlab code to compute Discrete Extremal Sets (of Fekete and Leja type) on convex or concave polygons, together with the corresponding interpolatory cubature formulas. The method works by QR and LU factorizations of rectangular Vandermonde matrices on Weakly Admissible Meshes (WAMs) of polygons, constructed by polygon quadrangulation.
Keywords :
Polygon quadrangulation , Algebraic cubature , Weakly admissible meshes , Discrete Extremal Sets , Polynomial interpolation
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics