Eliminating the unbounded behavior of function derivative expansions in terms of Sinc bases

Adel A.K. Mohsen

Applied Mathematics and Computation, 2015, vol. 268, issue C, 793-795

Abstract: Sinc methods are frequently used in treating mathematical physics problems such as in interpolation, quadrature and solving integral and differential equations. However, for finite intervals the function derivatives become unbounded. This unbounded behavior is addressed. The choice of proper weights and the use of the Sinc expansion of the function F(x) = x are used to provide improved expansions and to eliminate the unbounded behavior of the derivatives at the terminal points.

Keywords: Interpolation; Function derivatives; Sinc expansion; Spectral expansion (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:793-795

DOI: 10.1016/j.amc.2015.06.130

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