Computing highly oscillatory integrals
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Publication:4586621
DOI10.1090/mcom/3214zbMath1376.65027arXiv1507.00641OpenAlexW2963082050MaRDI QIDQ4586621
Publication date: 30 October 2017
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.00641
convergencenumerical experimentstationary pointsoscillatory integralsgraded pointsalgebraic singularitiesmoment-free Filon-type method
Related Items (15)
Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ Orderly exact calculation of integrals of products of functions by the method of tensor products of functionals ⋮ Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels ⋮ Adaptive FCC+ rules for oscillatory integrals ⋮ An efficient spectral-Galerkin method for second kind weakly singular VIEs with highly oscillatory kernels ⋮ On the stability of Filon-Clenshaw-Curtis rules ⋮ Solution of the Schrödinger equation for quasi-one-dimensional materials using helical waves ⋮ Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation ⋮ Computing integrals involved the Gaussian function with a small standard deviation ⋮ Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator ⋮ Volterra integral equations with highly oscillatory kernels: a new numerical method with applications ⋮ The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels ⋮ Efficient collocation methods for Volterra integral equations with highly oscillatory kernel ⋮ Efficient construction of FCC+ rules ⋮ Levin methods for highly oscillatory integrals with singularities
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