CONSTRUCTION OF CUBATURE FORMULAS OF DEGREE 7 AND 9 SYMMETRIC PLANAR REGIONS, USING ORTHOGONAL POLYNOMIALS

被引:11
作者
HAEGEMANS, A [1 ]
PIESSENS, R [1 ]
机构
[1] CATHOLIC UNIV LEUVEN,DIV APPL MATH & PROGRAMMING,B-3030 HEVERLE,BELGIUM
关键词
D O I
10.1137/0714029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:492 / 508
页数:17
相关论文
共 13 条
[1]   ORTHOGONAL POLYNOMIALS AND APPROXIMATE MULTIPLE INTEGRATION [J].
FRANKE, R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (04) :757-&
[2]  
FRANKE R, 1971, SIAM J NUMER ANAL, V10, P849
[3]  
Hammer P. C., 1958, MATH TABLES AIDS COM, V12, P272
[5]  
MYSOVSKIH IP, 1964, USSR COMP MATH MATH, V4, P1
[6]  
PEIRCE WH, 1956, THESIS U WISCONSIN
[7]   NUMERICAL INTEGRATION IN 2 AND 3 DIMENSIONS [J].
PHILLIPS, GM .
COMPUTER JOURNAL, 1967, 10 (02) :202-&
[8]  
PIESSENS R, 1975, MATH COMPUT, V29, P810, DOI 10.1090/S0025-5718-1975-0368393-5
[9]   PERFECTLY SYMMETRIC 2-DIMENSIONAL INTEGRATION FORMULAS WITH MINIMAL NUMBERS OF POINTS [J].
RABINOWITZ, P ;
RICHTER, N .
MATHEMATICS OF COMPUTATION, 1969, 23 (108) :765-+
[10]  
RANDON J, 1948, MONATSH MATH, V52, P286