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Piecewise-smooth chebfuns

Abstract:

Algorithms are described that make it possible to manipulate piecewise-smooth functions on real intervals numerically with close to machine precision. Break points are introduced in some such calculations at points determined by numerical root finding 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...

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Publication status:
Published

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Publisher copy:
10.1093/imanum/drp008

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
IMA JOURNAL OF NUMERICAL ANALYSIS
Volume:
30
Issue:
4
Pages:
898-916
Publication date:
2010-10-05
DOI:
EISSN:
1464-3642
ISSN:
0272-4979
URN:
uuid:dfadd464-8338-4fd4-bb5c-9d192945bc70
Source identifiers:
188868
Local pid:
pubs:188868

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