Numerical solution of integral equations of mathematical physics, using Chebyshev polynomials

DOI10.1016/0021-9991(76)90010-3zbMath0331.65096OpenAlexW2003738120MaRDI QIDQ1227446

Maria Branders, Robert Piessens

Publication date: 1976

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(76)90010-3

Mathematics Subject Classification ID

Related Items (24)

Numerical solutions of random integral equation III: random Chebyshev polynomials and Fredholm equations of the second kind^∗ ⋮ Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations ⋮ A fast multipole method for Fredholm integral equations of the second kind with general kernel \(K(x,y)=K(x-y)\) ⋮ Accelerated degenerate-kernel methods for linear integral equations ⋮ Filon-Clenshaw-Curtis formulas for highly oscillatory integrals in the presence of stationary points ⋮ Numerical solution of random Love's integral equation ⋮ Unnamed Item ⋮ An analytical solution to applied mathematics-related Love's equation using the Boubaker polynomials expansion scheme ⋮ Construction of a recurrence relation for modified moments ⋮ A note on solving integro-differential equation with Cauchy kernel ⋮ Accelerated projection methods ⋮ Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations ⋮ The Chebyshev fast Gauss and nonuniform fast Fourier transforms and their application to the evaluation of distributed heat potentials ⋮ Numerical solutions of integral and integro-differential equations using Legendre polynomials ⋮ On the computation of Fourier transforms of singular functions ⋮ Numerical solutions for weakly singular Hammerstein equations and their superconvergence ⋮ Evaluation of Green's boundary formula and its first- and second-order derivatives in Legendre series ⋮ Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind ⋮ On the numerical evaluation of singular integrals ⋮ Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator ⋮ The numerical evaluation of Cauchy principal value integrals with non-standard weight functions ⋮ Product integration with the Clenshaw-Curtis points: Implementation and error estimates ⋮ On choosing the points in product integration ⋮ Computing integral transforms and solving integral equations using Chebyshev polynomial approximations

Uses Software

• Clenshaw-Curtis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment of singular integral equations
• Über die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode
• The numerical solution of linear recurrence relations
• Numerical solution of integral equations in Chebyshev series
• The numerical solution of integral equations using Chebyshev polynomials
• Computational Aspects of Three-Term Recurrence Relations
• Numerical Solutions of Singular Fredholm Equations
• The numerical solution of non-singular integral and integro-differential equations by iteration with Chebyshev series
• The Solution of Integral Equations in Chebyshev Series
• Numerical Solution of a Singular Integral Equation Encountered in Polymer Physics
• Chebyshev Iteration Methods for Integral Equations of the Second Kind
• Implementing Clenshaw-Curtis quadrature, I methodology and experience
• The numerical solution of Fredholm integral equations using product type quadrature formulas
• A Chebyshev series method for the numerical solution of Fredholm integral equations
• THE ELECTROSTATIC FIELD OF TWO EQUAL CIRCULAR CO-AXIAL CONDUCTING DISKS
• The numerical solution of non-singular linear integral equations

This page was built for publication: Numerical solution of integral equations of mathematical physics, using Chebyshev polynomials