Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640891 | Journal of Computational and Applied Mathematics | 2010 | 10 Pages |
Abstract
We analyze the convergence behavior of Filon-type quadrature rules by making explicit the dependence on both kk, the parameter that controls the oscillatory behavior of the integrand, and nn, the number of function evaluations. We provide explicit conditions on the domain of analyticity of the integrand to ensure convergence for n→∞n→∞.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.M. Melenk,