On generalized quadrature rules for fast oscillatory integrals
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摘要
In this paper, we present numerical analysis for the generalized quadrature rule for ∫abf(x)w(r,x)dx, where w(r,x) is an oscillatory function, and derive higher order generalized quadrature rules. The results show that the generalized quadrature rules are efficient for Bessel-trigonometric transformations and the accuracy increases when oscillation becomes faster.
论文关键词:Generalized quadrature rule,Oscillatory integral,Bessel-trigonometric transformation,Lagrange’s identity
论文评审过程:Available online 2 August 2007.
论文官网地址:https://doi.org/10.1016/j.amc.2007.07.052