Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels

DOI10.1090/S0025-5718-02-01431-XzbMath1019.65104MaRDI QIDQ4794640

Sheon-Young Kang, George H. Rawitscher, Israel Koltracht

Publication date: 19 February 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

fast algorithmsFredholm integral equation of the second kindnonlocal potentialdiscontinuous kernelintegro-differential Schrödinger equationsNyström-Clenshaw-Curtis quadrature

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (n)-body potential quantum scattering theory (81U10) Fredholm integral equations (45B05)

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Volterra method for the radial Schrödinger equation ⋮ Quadrature rule for indefinite integral of algebraic-logarithmic singular integrands ⋮ Semi-spectral Chebyshev method in quantum mechanics ⋮ The characteristic function of Gaussian stochastic volatility models: an analytic expression ⋮ Numerical methods based on rational variable substitution for Wiener-Hopf equations of the second kind ⋮ APPLICATION OF CLENSHAW–CURTIS METHOD IN CONFINED TIME OF ARRIVAL OPERATOR EIGENVALUE PROBLEM ⋮ Combined Shewhart–EWMA control charts with estimated parameters ⋮ Volterra type integral equation method for the radial Schrödinger equation: Single channel case ⋮ A modified Nyström-Clenshaw-Curtis quadrature for integral equations with piecewise smooth kernels ⋮ Quantum time of arrival Goursat problem

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