Boundary Type Quadrature Formulas with Algebraic Precision

Tian-Xiao He
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Tian-Xiao He: Illinois Wesleyan University, Department of Mathematics & Computer Sience

Chapter Chapter 2 in Dimensionality Reducing Expansion of Multivariate Integration, 2001, pp 25-78 from Springer

Abstract: Abstract First, in Section 1, we will show that a DRE can be made an effective tool for constructing BTQFs with preassigned algebraic precision. Section 2 will discuss the construction of BTQFs with homogeneous precision. General Hermite formulas and a class of BTQFs that has the highest possible degrees of algebraic precision will also be given. In Section 3, we will show a general process to construct quadratures for boundary integrals by using periodic wavelets and the sampling theorem. Finally, several applications of DREs and BTQFs will be given in Section 5.

Keywords: Evaluation Point; Quadrature Formula; Wavelet Function; Symmetric Point; Quadrature Coefficient (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2100-5_2

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DOI: 10.1007/978-1-4612-2100-5_2

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