A recurrence formula for the direct solution of singular integral equations

DOI10.1016/0045-7825(82)90048-2zbMath0478.65078OpenAlexW1975557039MaRDI QIDQ1161266

Pericles S. Theocaris, George J. Tsamasphyros

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(82)90048-2

zbMATH Keywords

convergenceiterative methodHölder continuous functionsquadrature rulesrecurrence formulaSchwarz's alternating method

Mathematics Subject Classification ID

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

Related Items

The singular value decomposition of the Gauss-Chebyshev and Lobatto-Chebyshev methods for Cauchy Singular Integral Equations, A Fast Algorithm for the Multiplication of Generalized Hilbert Matrices with Vectors

Cites Work

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• Equivalence and convergence of direct and indirect methods for the numerical solution of singular integral equations
• A combined integral-equation and finite-element method for the evaluation of stress intensity factors
• On the numerical solution of Cauchy type singular integral equations and the determination of stress intensity factors in case of complex singularities
• A remark on the numerical evaluation of stress intensity factors by the method of singular integral equations
• Numerical integration methods for the solution of singular integral equations
• ORTHOGONAL POLYNOMIAL SOLUTIONS TO SOME MIXED BOUNDARY-VALUE PROBLEMS IN ELASTICITY THEORY
• Numerical Quadrature of Periodic Singular Integral Equations
• On the convergence of a Gauss quadrature rule for evaluation of Cauchy type singular integrals
• Numerical solution of systems of singular integral equations with