Interval arithmetic error estimation for the solution of Fredholm integral equation

DOI10.1080/00207160802624729zbMath1165.65085OpenAlexW2023550037MaRDI QIDQ3615557

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Publication date: 20 March 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802624729

zbMATH Keywords

numerical exampleeigenvaluefinite element methodFredholm integral equationfinite element solutioninterval operatora posteriori estimationa priori estimationintervl arithmetic

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Interval and finite arithmetic (65G30) Fredholm integral equations (45B05)

Uses Software

• INTLAB
• INTOPT_90
• PNM

Cites Work

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• Rigorous global search: continuous problems
• Four Variants of the Galerkin Method for Integral Equations of the Second Kind
• Discrete Collocation Methods for Second Kind Fredholm Integral Equations
• Discrete Galerkin Methods for Fredholm Integral Equations of the Second Kind
• The discrete Galerkin method for integral equations
• Precise bounds for inverses of integral equation operators
• Integration of Interval Functions
• Interval Methods for Systems of Equations
• Verification methods for fredholm integral equations
• On kernel inclusions

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