2 NEW CLASSES OF NON-LINEAR TRANSFORMATIONS FOR ACCELERATING THE CONVERGENCE OF INFINITE INTEGRALS AND SERIES

被引:95
作者
LEVIN, D [1 ]
SIDI, A [1 ]
机构
[1] TECHNION ISRAEL INST TECHNOL,DEPT COMP SCI,HAIFA,ISRAEL
关键词
D O I
10.1016/0096-3003(81)90028-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:175 / 215
页数:41
相关论文
共 22 条
[1]  
Abramowitz M, 1968, HDB MATH FUNCTIONS F
[2]  
[Anonymous], 1955, J MATH PHYS, DOI [DOI 10.1002/SAPM19553411, DOI 10.1080/00207167308803075]
[3]  
CLENSHAW CW, 1974, STUDIES NUMERICAL AN, P95
[4]   NONLINEAR PADE APPROXIMANTS FOR LEGENDRE SERIES [J].
FLEISCHER, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (02) :246-248
[5]   HIGHER ORDER G-TRANSFORMATIONS [J].
GRAY, HL ;
ATCHISON, TA ;
MCWILLIA.GV .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (02) :365-&
[6]  
HOLDEMAN JT, 1969, MATH COMPUT, V23, P275
[7]   DEVELOPMENT OF NONLINEAR TRANSFORMATIONS FOR IMPROVING CONVERGENCE OF SEQUENCES [J].
LEVIN, D .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1973, 3 (04) :371-388
[8]  
LEVIN D, 1975, THESIS TEL AVIV U
[9]  
Levin D., 1975, J COMPUT APPL MATH, V1, P247
[10]   GENERATION OF RATIONAL FUNCTION APPROXIMATIONS FOR LAPLACE TRANSFORM INVERSION WITH AN APPLICATION TO VISCOELASTICITY [J].
LONGMAN, IM .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 24 (04) :429-440