Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method

Changho Kim, Sang Dong Kim, Jungho Yoon

Research output: Contribution to journalArticlepeer-review

Abstract

This paper deals with an extension of one-dimensional Clenshaw-Curtis quadrature rule to Rd, 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.

Original languageEnglish
Pages (from-to)781-789
Number of pages9
JournalApplied Mathematics and Computation
Volume190
Issue number1
DOIs
StatePublished - 1 Jul 2007

Keywords

  • Clenshaw-Curtis quadrature rule
  • Collocation least-squares methods
  • First-order system

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