NUMERICAL-INTEGRATION BASED ON APPROXIMATING SPLINES

被引：25

作者：

RABINOWITZ, P ^{[1
]}

机构：

[1] WEIZMANN INST SCI,DEPT APPL MATH & COMP SCI,IL-76100 REHOVOT,ISRAEL

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 33卷 / 01期

关键词：

APPROXIMATING SPLINES; B-SPLINES; PRODUCT INTEGRATION; CAUCHY PRINCIPAL VALUE;

D O I：

10.1016/0377-0427(90)90257-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Convergence results are proved for product integration rules based on approximating splines. These results are both for bounded and unbounded integrands. Pointwise and uniform convergence results are proved for sequences of Cauchy principal values of these approximating splines.

引用

页码：73 / 83

页数：11

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