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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: Liwen Qian
Journal: Proc. Amer. Math. Soc. 131 (2003), 1169-1176
MSC (2000): Primary 41A80, 41A30; Secondary 65D25, 65G99, 94A24
Published electronically: October 24, 2002
MathSciNet review: 1948108
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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: http://dx.doi.org/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
Published electronically: October 24, 2002
Communicated by: David Sharp
Article copyright: © Copyright 2002 American Mathematical Society