On the regularized Whittaker-Kotel'nikov-Shannon sampling formula

被引:74
作者
Qian, LW [1 ]
机构
[1] Natl Univ Singapore, Dept Computat Sci, Singapore 117543, Singapore
关键词
Whittaker-Kotel'nikov-Shannon's sampling formula; regularization; error estimate;
D O I
10.1090/S0002-9939-02-06887-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Error estimation is given for the regularized Whittaker-Kotel'nikov Shannon (WKS) sampling formula, which was found to be accurate and robust for numerically solving partial differential equations. The result improves the convergence rate of existing results.
引用
收藏
页码:1169 / 1176
页数:8
相关论文
共 16 条
[1]  
Butzer P.L., 1985, Aequntiones Muth, V2, P305, DOI [10.1007/BF02189424, DOI 10.1007/BF02189424]
[2]  
GERVAIS R, 1984, INT SCHRIFTENREIHE N, V0065, P00355
[3]   Fourier-Bessel analysis of patterns in a circular domain [J].
Guan, SG ;
Lai, CH ;
Wei, GW .
PHYSICA D, 2001, 151 (2-4) :83-98
[4]  
Higgins J.R., 1996, SAMPLING THEORY FOUR
[5]   BOUNDS FOR TRUNCATION ERROR OF SAMPLING EXPANSION [J].
JAGERMAN, D .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1966, 14 (04) :714-&
[6]  
Kotelnikov V, 1933, MAT 1 ALL UNION C QU
[7]  
Marks Robert J., 1991, Introduction to Shannon Sampling and Interpolation Theory
[8]  
POLLAK HD, 1956, REP STAT APPL RES JU, V4, P3
[9]  
Rainville E., 1960, Special Functions
[10]   A MATHEMATICAL THEORY OF COMMUNICATION [J].
SHANNON, CE .
BELL SYSTEM TECHNICAL JOURNAL, 1948, 27 (03) :379-423