The use of Sherman-Morrison formula in the solution of Fredholm integral equation of second kind

DOI10.1016/j.matcom.2010.03.006zbMath1209.65144OpenAlexW2077988574WikidataQ124542257 ScholiaQ124542257MaRDI QIDQ622201

Pierluigi Maponi, Nadaniela Egidi

Publication date: 31 January 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.03.006

zbMATH Keywords

convergenceFredholm integral equation of second kindboundary value problemconstructive methodrecursive methodSherman-Morrison formulapotential theory for Laplace operator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

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Cites Work

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• The use of Sherman-Morrison formula in the solution of Fredholm integral equation of second kind
• A Sherman-Morrison approach to the solution of linear systems
• The solution of linear systems by using the Sherman-Morrison formula
• Using the WPG method for solving integral equations of the second kind
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
• Linear integral equations

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