Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method
نویسندگان
چکیده
This paper deals with an extension of one-dimensional Clenshaw–Curtis quadrature rule to R ; d P 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. 2007 Elsevier Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 190 شماره
صفحات -
تاریخ انتشار 2007