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Highly oscillatory quadrature: The story so far

Abstract:

The last few years have witnessed substantive developments in the computation of highly oscillatory integrals in one or more dimensions. The availability of new asymptotic expansions and a Stokes-type theorem allow for a comprehensive analysis of a number of old (although enhanced) and new quadrature techniques: the asymptotic, Filon-type and Levin-type methods. All these methods share the surprising property that their accuracy increases with growing oscillation. These developments are descr...

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Publication status:
Published

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Publisher copy:
10.1007/978-3-540-34288-5_6
Journal:
Numerical Mathematics and Advanced Applications More from this journal
Pages:
97-118
Publication date:
2006-01-01
Event title:
6th European Conference on Numberical Mathematics and Advanced Applications (ENUMATH2005)
DOI:
ISBN:
3540342877
Keywords:
Pubs id:
pubs:24583
UUID:
uuid:fd67bd7f-573e-4958-acfe-e3c77d5b52b1
Local pid:
pubs:24583
Source identifiers:
24583
Deposit date:
2012-12-19

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