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On the convergence of Filon quadrature

โœ Scribed by J.M. Melenk

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
589 KB
Volume
234
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We analyze the convergence behavior of Filon-type quadrature rules by making explicit the dependence on both k, the parameter that controls the oscillatory behavior of the integrand, and n, the number of function evaluations. We provide explicit conditions on the domain of analyticity of the integrand to ensure convergence for n โ†’ โˆž.

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