An IMT-type quadrature formula with the same asymptotic performance as the DE formula

被引：3

作者：

Ooura, Takuya ^{[1
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 213卷 / 01期

关键词：

IMT-type quadrature; DE formula; double exponential formula; numerical quadrature;

D O I：

10.1016/j.cam.2007.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an IMT-type quadrature formula which achieves the same asymptotic error estimate as the DE formula. The point of the idea is to optimize the parameters of the IMT-type transformation depending on the number of sampling points. We also show the performance of our IMT-type quadrature formula by numerical examples. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：232 / 239

页数：8

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