Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901968 | Journal of Computational and Applied Mathematics | 2018 | 19 Pages |
Abstract
Given m+1 strictly decreasing numbers h0,h1,â¦,hm, we give an algorithm to construct a corresponding finite sequence of orthogonal polynomials p0,p1,â¦,pm such that p0=1, pj has degree j and pmâj(hn)=(â1)npj(hn) for all j,n=0,1,â¦,m. Using these polynomials, we construct bivariate Lagrange polynomials and cubature formulas for nodes that are points in R2 where the coordinates are taken from given finite decreasing sequences of the same length and where the indices have the same (or opposite) parity.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lawrence A. Harris,