Numerical analysis for one-dimensional Cauchy singular integral equations

DOI10.1016/S0377-0427(00)00482-9zbMath0978.65125WikidataQ127571148 ScholiaQ127571148MaRDI QIDQ1841971

Peter Junghanns, Bernd Silbermann

Publication date: 21 January 2002

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

zbMATH Keywords

stabilitycollocationprojection methodsCauchy singular integral equationsfinite sections

Mathematics Subject Classification ID

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

Related Items (9)

Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval ⋮ The trapezoidal rule for computing Cauchy principal value integral on circle ⋮ A quadrature method for systems of Cauchy singular integral equations ⋮ A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics ⋮ Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane ⋮ Simpson's rule to approximate Hilbert integral and its application ⋮ The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis

Cites Work

• A fast algorithm for Prandtl's integro-differential equation
• Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
• Algebraic methods for Toeplitz-like matrices and operators
• On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
• A fast algorithm for solving the generalized airfoil equation
• Uniform convergence of a fast algorithm for Cauchy singular integral equations
• Stability of spline approximation methods for multidimensional pseudodifferential operators
• Corrected collocation methods for periodic pseudodifferential equations
• Asymptotic Moore-Penrose invertibility of singular integral operators
• A collocation method for nonlinear Cauchy singular integral equations
• Fast solvers of integral and pseudodifferential equations on closed curves
• The fast solution of periodic pseudodifferential equations
• Uniform convergence of the collocation method for Prandtl's Integro-differential equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical analysis for one-dimensional Cauchy singular integral equations