CUBATURE FORMULAS FOR THE SURFACE OF THE SPHERE

被引:16
作者
KEAST, P [1 ]
机构
[1] DALHOUSIE UNIV,DEPT MATH STAT & COMP SCI,HALIFAX B3H 4H8,NS,CANADA
关键词
This research was supported by a grant from the Natural Research Council of Canada;
D O I
10.1016/0377-0427(87)90044-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
20
引用
收藏
页码:151 / 172
页数:22
相关论文
共 19 条
[1]   NUMERICAL-INTEGRATION ON THE SPHERE [J].
ATKINSON, K .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 23 (JAN) :332-347
[2]   THE NUMERICAL-SOLUTION OF LAPLACE EQUATION IN 3 DIMENSIONS [J].
ATKINSON, KE .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (02) :263-274
[3]   INVARIANT INTEGRATION FORMULAS FOR N-SIMPLEX BY COMBINATORIAL METHODS [J].
GRUNDMANN, A ;
MOLLER, HM .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (02) :282-290
[4]   STRUCTURE OF FULLY SYMMETRIC MULTIDIMENSIONAL QUADRATURE RULES [J].
KEAST, P ;
LYNESS, JN .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (01) :11-29
[5]   FULLY SYMMETRIC INTEGRATION FORMULAS FOR THE SURFACE OF THE SPHERE IN S-DIMENSIONS [J].
KEAST, P ;
DIAZ, JC .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1983, 20 (02) :406-419
[6]   MODERATE-DEGREE TETRAHEDRAL QUADRATURE-FORMULAS [J].
KEAST, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 55 (03) :339-348
[7]  
Lebedev V. I., 1976, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V16, P293
[8]   SYMMETRIC INTEGRATION RULES FOR HYPERCUBES .I. ERROR COEFFICIENTS [J].
LYNESS, JN .
MATHEMATICS OF COMPUTATION, 1965, 19 (90) :260-+
[9]  
LYNESS JN, 1975, J I MATH APPL, V15, P19
[10]   APPLICATION OF INTEGER PROGRAMMING TO COMPUTATION OF FULLY SYMMETRIC INTEGRATION FORMULAS IN 2 AND 3 DIMENSIONS [J].
MANTEL, F ;
RABINOWITZ, P .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1977, 14 (03) :391-425