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Zbl 0947.65148
Evans, G.A.; Webster, J.R.
A comparison of some methods for the evaluation of highly oscillatory integrals.
(English)
[J] J. Comput. Appl. Math. 112, No.1-2, 55-69 (1999). ISSN 0377-0427

The paper compares the efficiency of various quadrature formulas. Part I discusses several variants of the extended Clenshaw-Curtis method for finite Fourier integrals. Part II tests quadrature methods for irregular oscillatory integrals appearing in literature by a set of examples.
[G.Steidl (Mannheim)]
MSC 2000:
*65T40 Trigonometric approximation and interpolation
42A16 Fourier coefficients, etc.

Keywords: quadrature formulas; Clenshaw-Curtis method; finite Fourier integrals; irregular oscillatory integrals

Cited in: Zbl 0983.65146

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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