On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
From MaRDI portal
Publication:4659903
DOI10.1093/imanum/drh022zbMath1069.65148OpenAlexW1996820786MaRDI QIDQ4659903
Publication date: 21 March 2005
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/43a075fcf87a0bc2ad7115d5394baeddece3d98c
Filon quadraturehighly-oscillatory quadratureirregular oscillatorsoptimal choice of quadrature nodes
Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items
Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs, On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\), An efficient method for evaluating the integral of a class of highly oscillatory functions, Numerical Integration of Highly Oscillating Functions, Interpolation based formulation of the oscillatory finite Hilbert transforms, Absorbing boundary conditions for relativistic quantum mechanics equations, Fast discrete algorithms for sparse Fourier expansions of high dimensional functions, Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\), 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, On Volterra integral operators with highly oscillatory kernels, Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities, Computing highly oscillatory integrals, A fast solver for boundary integral equations of the modified Helmholtz equation, On the evaluation of highly oscillatory integrals with high frequency, The numerical integration scheme for a fast Petrov-Galerkin method for solving the generalized airfoil equation, A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method, Higher-order Newton-Cotes rules with end corrections, A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions, Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral, Method for numerical integration of rapidly oscillating functions in diffraction theory, A combined Filon/asymptotic quadrature method for highly oscillatory problems, A fast numerical solution for the first kind boundary integral equation for the Helmholtz equation, On quadrature of Bessel transformations, Efficient quadrature of highly oscillatory integrals using derivatives, Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition, Formulas for approximate calculation of the Chebyshev coefficients, Approximation of Cauchy-type singular integrals with high frequency Fourier kernel, Quadrature methods for multivariate highly oscillatory integrals using derivatives, On quadrature methods for highly oscillatory integrals and their implementation, Numerical results for Saito’s uniqueness theorem in inverse scattering theory, Mathematical modeling of boundary conditions for laser‐molecule time‐dependent Schrödinger equations and some aspects of their numerical computation—One‐dimensional case, Approximation of highly oscillatory integrals containing special functions, Numerical computation of infinite Bessel transforms with high frequency, On the spectrum computation of non-oscillatory and highly oscillatory kernel with weak singularity, On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels