Spline approximation with interpolation constraints for numerical integration

被引：3
|
作者：
Demichelis, V [1 ]
机构：
[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1999年 / 70卷 / 04期
关键词：
approximating splines; constrained approximating splines; locally uniform partition; Cauchy principal value integrals;
D O I：
10.1080/00207169908804786
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using a Walsh-type theorem, we impose a finite number of interpolation constraints to a polynomial spline approximation operator. These constrained approximating splines reproduce polynomials and give orders of convergence identical to those of the unconstrained ones. We give an application in numerical integration by using the constrained splines for evaluation of Cauchy principal value integrals.
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页码：739 / 750
页数：12
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