The Mathematical Institute, University of Oxford, Eprints Archive

Piecewise smooth chebfuns

Pachon, Ricardo and Platte, Rodrigo B. and Trefethen, Lloyd N. (2008) Piecewise smooth chebfuns. Technical Report. Unspecified. (Submitted)

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Abstract

Algorithms are described that make it possible to manipulate piecewise-smooth functions on real intervals numerically with close to machine precision. Breakpoints are introduced in some such calculations at points determined by numerical rootfinding, and in others by recursive subdivision or automatic edge detection. Functions are represented on each smooth subinterval by Chebyshev series or interpolants. The algorithms are implemented in object-oriented MATLAB in an extension of the chebfun system, which was previously limited to smooth functions on [-1, 1].

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1073
Deposited By:Lotti Ekert
Deposited On:06 May 2011 08:23
Last Modified:06 May 2011 08:23

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