منابع مشابه
Meshless cubature by Green's formula
By coupling the flexibility of Thin-Plate Splines interpolation with Green’s integral formula, we obtain a meshless cubature method from scattered samples of small/moderate size, on convex as well as nonconvex and even multiply connected polygonal domains. 2000 AMS subject classification: 65D05, 65D32.
متن کاملOn the construction of general cubature formula by flat extensions.
We describe a new method to compute general cubature formulae. The problem is initially transformed into the computation of truncated Hankel operators with flat extensions. We then analyze the algebraic properties associated to flat extensions and show how to recover the cubature points and weights from the truncated Hankel operator. We next present an algorithm to test the flat extension prope...
متن کاملOn the composite Bernstein type cubature formula
Considering a given function f ∈ C([0, 1] × [0, 1]), the bivariate interval [0, 1] × [0, 1] is divided in mn equally spaced bivariate subintervals k−1 m , k m × j−1 n , j n , k = 1, m, j = 1, n. On each such type of subinter-vals the Bernstein bivariate approximation formula is applied and a corresponding Bernstein type cubature formula is obtained. Making the sum of mentioned cubature formulas...
متن کاملAn algebraic cubature formula on curvilinear polygons
We implement in Matlab a Gauss-like cubature formula on bivariate domains whose boundary is a piecewise smooth Jordan curve (curvilinear polygons). The key tools are Green’s integral formula, together with the recent software package chebfun to approximate the boundary curve close to machine precision by piecewise Chebyshev interpolation. Several tests are presented, including some comparisons ...
متن کاملA note on the Bernstein ’ s cubature formula
The Bernstein’s cubature formula is revisited and the evaluation of it’s remainder term is corrected. 2000 Mathematics Subject Classification: 65D32, 41A10, 41A63
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2006
ISSN: 0096-3003
DOI: 10.1016/j.amc.2006.05.211