ON THE EVALUATION OF ONE-DIMENSIONAL CAUCHY PRINCIPAL VALUE INTEGRALS BY RULES BASED ON CUBIC SPLINE INTERPOLATION

被引：15

作者：

DAGNINO, C

SANTI, E

机构：

[1] Facoltà di Ingegneria, Università di L'Aquila, L'Aquila

来源：

COMPUTING | 1990年 / 43卷 / 03期

关键词：

AMS Subject Classifications: 65D30; 65D32; Cauchy principla value integrals; cubic spline interpolation; product integration;

D O I：

10.1007/BF02242921

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note we consider the numerical evaluation of one dimensional Cauchy principal value integrals of the form {Mathematical expression} by rules obtained by "subtracting out" the singularity and then applying product quadratures based on cubic spline interpolation at equally spaced nodes. Convergence results are established for Hölder continuous functions of order, μ, 0<μ≤1, and asymptotic rates are obtained for functions f≠Ck[a, b], k=1, 2, 3 or 4. Some comparisons with other methods and numerical examples are also given. © 1990 Springer-Verlag.

引用

页码：267 / 276

页数：10

共 28 条

[1] PRODUCT INTEGRATION OF LOGARITHMIC SINGULAR INTEGRANDS BASED ON CUBIC-SPLINES [J].