The Mathematical Institute, University of Oxford, Eprints Archive

A sinc function analogue of chebfun

Richardson, Mark and Trefethen, Lloyd N. (2011) A sinc function analogue of chebfun. Technical Report. SIAM. (Submitted)

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Abstract

Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. Here an analogous system is described based on sinc function expansions instead of Chebyshev series. This experiment sheds light on the strengths and weaknesses of sinc function techniques. It also serves as a review of some of the main features of sinc methods including construction, evaluation, zerofinding, optimization, integration and differentiation.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Approximations and expansions
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1052
Deposited By:Lotti Ekert
Deposited On:04 Mar 2011 08:01
Last Modified:04 Mar 2011 08:01

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