On the regularized Whittaker-Kotel’nikov-Shannon sampling formula
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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.References
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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
- 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
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1169-1176
- MSC (2000): Primary 41A80, 41A30; Secondary 65D25, 65G99, 94A24
- DOI: https://doi.org/10.1090/S0002-9939-02-06887-9
- MathSciNet review: 1948108