The Mathematical Institute, University of Oxford, Eprints Archive

Chebfun: A New Kind of Numerical Computing

Platte, Rodrigo B. and Trefethen, Lloyd N. (2008) Chebfun: A New Kind of Numerical Computing. Technical Report. Unspecified. (Submitted)

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Abstract

The functionalities of the chebfun and chebop systems are surveyed. The chebfun system is a collection of Matlab codes to manipulate functions in a manner that resambles symbolic computing. The operations, however, are performed numerically using polynomial representations. Chebops are built with the aid of chebfuns to represent linear operators and allow chebfun solutions of differential equations. In this article we present examples to illustrate the simplicity and effectiveness of the software. Among other problems, we consider edge detection in logistic map functions and the solution of linear and nonlinear differential equations.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1065
Deposited By:Lotti Ekert
Deposited On:21 Apr 2011 08:32
Last Modified:21 Apr 2011 08:32

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