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

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...

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Bibliographic Details
Published in:Applied mathematics and computation 2015-10, Vol.268, p.793-795
Main Author: Mohsen, Adel A.K.
Format: Article
Language:English
Subjects:
Function derivatives
Interpolation
Sinc expansion
Spectral expansion
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.06.130