Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval

DOI10.1016/0377-0427(92)90267-2zbMath0762.65093OpenAlexW1977010688MaRDI QIDQ1195732

Vincent J. Ervin, Ernst Peter Stephan

Publication date: 18 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90267-2

zbMATH Keywords

collocation methodconvergence ratehypersingular integral operator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items

Numerical evaluation of hypersingular integrals, Rates of convergence for collocation with Jacobi polynomials for the airfoil equation, A quadrature method for the hypersingular integral equation on an interval, Analysis of plane-strain crack problems (mode-I \& mode-II) in the presence of surface elasticity, Newton methods for a class of nonlinear hypersingular integral equations, Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem, A fast algorithm for Prandtl's integro-differential equation, Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method, Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels, Fast collocation solvers for integral equations on open arcs, Approximation of Hypersingular Integral Operators With Cauchy Kernel

Cites Work

• The convergence of spline collocation for strongly elliptic equations on curves
• A hypersingular boundary integral method for two-dimensional screen and crack problems
• On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
• On the solution of integral equations with strongly singular kernels
• Collocation with Chebyshev polynomials for Symm's integral equation on an interval