Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule

DOI10.21136/am.1978.103770zbMath0427.65087OpenAlexW2343293910MaRDI QIDQ3863012

Pericles S. Theocaris, Nikolaos I. Ioakimidis

Publication date: 1978

Full work available at URL: https://eudml.org/doc/15072

zbMATH Keywords

singular integral equationsCauchy type kernelsCauchy type principal value integralsLobatto-Jacobi numerical integration rule

Mathematics Subject Classification ID

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

Related Items

Recent developments in the numerical solution of singular integral equations, Numerical solution of singular integral equations via initial value methods, On the application of numerical integration rules to the solution of some singular integral equations, A new method for the numerical solution of singular integral equations appearing in crack and other elasticity problems, Application of the method of singular integral equations to elasticity problems with concentrated loads, A remark on the application of closed and semi-closed quadrature rules to the direct numerical solution of singular integral equations, Finite-dimensional approximations of singular integrals and direct methods of solution of singular integral and integrodifferential equations, A combined integral-equation and finite-element method for the evaluation of stress intensity factors, On the quadrature methods for the numerical solution of singular integral equations, A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics, The V-notched elastic half-plane problem, A method of numerical solution of Cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities, A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors, The second fundamental crack problem and the rigid line inclusion problem in plane elasticity

Cites Work

• Stresses in bonded materials with a crack perpendicular to the interface
• Numerical integration methods for the solution of singular integral equations
• Application of the Gauß, Radau and Lobatto Numerical Integration Rules to the Solution of Singular Integral Equations
• Uniform Asymptotic Expansions of the Jacobi Polynomials and an Associated Function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item