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On the regularized Whittaker-Kotel'nikov-Shannon sampling formula
Author(s):
Liwen
Qian
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1169-1176.
MSC (2000):
Primary 41A80, 41A30;
Secondary 65D25, 65G99, 94A24
Posted:
October 24, 2002
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Abstract:
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.
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Additional Information:
Liwen
Qian
Affiliation:
Department of Computational Science, National University of Singapore, Singapore 117543
Address at time of publication:
Singapore--MIT Alliance (SMA), E4-4-10, National University of Singapore, Singapore 117576
Email:
qianlw@cz3.nus.edu.sg, smaqlw@nus.edu.sg
DOI:
10.1090/S0002-9939-02-06887-9
PII:
S 0002-9939(02)06887-9
Keywords:
Whittaker-Kotel'nikov-Shannon's sampling formula,
regularization,
error estimate
Received by editor(s):
April 23, 2001
Received by editor(s) in revised form:
November 8, 2001
Posted:
October 24, 2002
Communicated by:
David Sharp
Copyright of article:
Copyright
2002,
American Mathematical Society
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