The singular value decomposition of the Gauss-Chebyshev and Lobatto-Chebyshev methods for Cauchy Singular Integral Equations

DOI10.1016/0898-1221(86)90026-XzbMath0619.65136MaRDI QIDQ3756480

Apostolos Gerasoulis

Publication date: 1986

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergencesingular value decompositioniterative schemeCauchy singular integral equationsLobatto-Chebyshev quadratureGauss-Chebyshev quadrature

Mathematics Subject Classification ID

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

Related Items (3)

An application of Lobatto–Chebyshev method to a nonhomogeneous plane problem with two cracks ⋮ On numerical methods of solving the Cauchy singular integral equation ⋮ Unconventional solution of singular integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• An iterative algorithm for the numerical solution of singular integral equations
• On the existence of approximate solutions for singular integral equations of Cauchy type discretized by Gauss-Chebyshev quadrature formulae
• A recurrence formula for the direct solution of singular integral equations
• Singular integral equations. The convergence of the Nyström interpolant of the Gauss-Chebyshev method
• Numerical Solution of Sigular Integral Equations Using Gauss-type Formulae I
• Numerical Solution of Singular Integral Equations using Gauss-type Formulae
• A Comparison Between the Direct and the Classical Numerical Methods for the Solution of Cauchy Type Singular Integral Equations
• The Classical Collocation Method for Singular Integral Equations
• On the solvability of singular integral equations via gauss-jacobi quadrature
• Numerical integration methods for the solution of singular integral equations
• On the numerical solution of singular integral equations

This page was built for publication: The singular value decomposition of the Gauss-Chebyshev and Lobatto-Chebyshev methods for Cauchy Singular Integral Equations