Contributions to Books:
J. Melenk:
"On the convergence of filon quadrature";
in: "ASC Report 08/2008",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2008,
ISBN: 978-3-902627-01-8.
English abstract:
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 → ∞.
Keywords:
highly oscillatory integrals, Filon quadrature
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2008/asc08x2008.pdf
Created from the Publication Database of the Vienna University of Technology.