SPLINE PRODUCT QUADRATURE-RULES FOR CAUCHY SINGULAR-INTEGRALS

被引:21
作者
DAGNINO, C [1 ]
SANTI, E [1 ]
机构
[1] UNIV AQUILA,FAC INGN,I-67040 ROIO POGGIO,ITALY
关键词
CAUCHY SINGULAR INTEGRALS; CUBIC B-SPLINES;
D O I
10.1016/0377-0427(90)90363-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper product quadrature rules, based on cubic spline interpolation, are obtained for the numerical evaluation of Cauchy singular integrals and an error bound is proposed. Some numerical examples that test the performance of the rules are given.
引用
收藏
页码:133 / 140
页数:8
相关论文
共 26 条
[1]   PRODUCT INTEGRATION OF LOGARITHMIC SINGULAR INTEGRANDS BASED ON CUBIC-SPLINES [J].
ALAYLIOGLU, A ;
LUBINSKY, DS ;
EYRE, D .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 11 (03) :353-366
[2]  
[Anonymous], [No title captured]
[3]   NUMERICAL EVALUATION OF CAUCHY TRANSFORM ON SIMPLE CLOSED CURVES [J].
ATKINSON, K .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1972, 9 (02) :284-&
[4]   ON THE CONVERGENCE OF SOME CUBIC SPLINE INTERPOLATION SCHEMES [J].
BEATSON, RK .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (04) :903-912
[5]   CONVERGENCE OF QUADRATURES FOR CAUCHY PRINCIPAL VALUE INTEGRALS [J].
CHAWLA, MM ;
KUMAR, S .
COMPUTING, 1979, 23 (01) :67-72
[6]   ON THE CONVERGENCE OF PRODUCT-FORMULAS FOR THE NUMERICAL EVALUATION OF DERIVATIVES OF CAUCHY PRINCIPAL VALUE INTEGRALS [J].
CRISCUOLO, G ;
MASTROIANNI, G .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1988, 25 (03) :713-727
[7]  
CRISCUOLO G, 1987, MATH COMPUT, V48, P725, DOI 10.1090/S0025-5718-1987-0878702-4
[8]   PRODUCT INTEGRATION OF SINGULAR INTEGRANDS BASED ON CUBIC SPLINE INTERPOLATION AT EQUALLY SPACED NODES [J].
DAGNINO, C .
NUMERISCHE MATHEMATIK, 1990, 57 (01) :97-104
[9]   PRODUCT INTEGRATION OF PIECEWISE CONTINUOUS INTEGRANDS BASED ON CUBIC SPLINE INTERPOLATION AT EQUALLY SPACED NODES [J].
DAGNINO, C ;
ORSI, AP .
NUMERISCHE MATHEMATIK, 1988, 52 (04) :459-466
[10]  
DAGNINO C, 1988, ALGORITHM GENERATION