Fast, numerically stable computation of oscillatory integrals with stationary points
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Publication:2379359
DOI10.1007/s10543-010-0251-yzbMath1188.65024OpenAlexW1989695190MaRDI QIDQ2379359
Publication date: 19 March 2010
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-010-0251-y
algorithmnumerical exampleBessel functionsstationary pointoscillatory integralLevin collocation scheme
Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items (22)
On the evaluation of highly oscillatory finite Hankel transform using special functions ⋮ A comparative study of meshless complex quadrature rules for highly oscillatory integrals ⋮ Interpolation based formulation of the oscillatory finite Hilbert transforms ⋮ Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ A Gaussian quadrature rule for oscillatory integrals on a bounded interval ⋮ Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere ⋮ Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels ⋮ Computing highly oscillatory integrals ⋮ Interpolatory quadrature rules for oscillatory integrals ⋮ An efficient spectral-Galerkin method for second kind weakly singular VIEs with highly oscillatory kernels ⋮ Superinterpolation in highly oscillatory quadrature ⋮ On the evaluation of highly oscillatory integrals with high frequency ⋮ Meshless and wavelets based complex quadrature of highly oscillatory integrals and the integrals with stationary points ⋮ New quadrature rules for highly oscillatory integrals with stationary points ⋮ A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions ⋮ Numerical approximation of oscillatory integrals of the linear ship wave theory ⋮ The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels ⋮ Approximation of Cauchy-type singular integrals with high frequency Fourier kernel ⋮ Accurate and efficient numerical calculation of stable densities via optimized quadrature and asymptotics ⋮ Approximation of highly oscillatory integrals containing special functions ⋮ Numerical methods for multivariate highly oscillatory integrals ⋮ Levin methods for highly oscillatory integrals with singularities
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Cites Work
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