Article ID Journal Published Year Pages File Type
4640891 Journal of Computational and Applied Mathematics 2010 10 Pages PDF
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→∞.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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