[Zurück]

J. Melenk:
"On the convergence of filon quadrature";
in: "ASC Report 08/2008", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

We analyze the convergence behavior of Filon-type quadrature rules by making ex-
plicit the dependence on both k, the parameter that controls the oscillatory behav-
ior 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 → ∞.

highly oscillatory integrals, Filon quadrature

http://www.asc.tuwien.ac.at/preprint/2008/asc08x2008.pdf