Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635327 | Applied Mathematics and Computation | 2007 | 9 Pages |
Abstract
This paper deals with an extension of one-dimensional Clenshaw–Curtis quadrature rule to Rd,d⩾2Rd,d⩾2 on a convex domain. As one of its applications, we apply this quadrature rule to a collocation least-squares method using arbitrary abscissas for a first-order system of an elliptic boundary value problem so that the convergence analysis on a numerical solution can be shown in a standard Sobolev norm.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Changho Kim, Sang Dong Kim, Jungho Yoon,