Stability and robustness of collocation methods for Abel-type integral equations

DOI10.1007/BF01391418zbMath0556.65097OpenAlexW2007785426MaRDI QIDQ761034

Paul P. B. Eggermont

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132977

zbMATH Keywords

stabilityrobustnessnumerical examplesoptimal error estimatesprojection methodsAbel integral equationspiecewise polynomialstest equationmidpoint methodfirst kindtrapezoidal methodimplicit backward difference product integration methodsquadrature-collocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (6)

A fully discrete Galerkin method for Abel-type integral equations ⋮ On monotone Abel-Volterra integral equations on the half line ⋮ On Self-regularization of Ill-Posed Problems in Banach Spaces by Projection Methods ⋮ Singular expansions and collocation methods for generalized Abel integral equations ⋮ Open problems in the discretization of volterra integral equations ⋮ Explicit unconditionally stable methods for the heat equation via potential theory

Cites Work

• On the stability of integral equations of the first kind with logarithmic kernels
• A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
• Konvergenzaussagen für Projektionsverfahren bei linearen Operatoren
• Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
• A product integration method for a class of singular first kind Volterra equations
• Collocation for Volterra Integral Equations of the First Kind with Iterated Kernel
• Discretization of Volterra Integral Equations of the First Kind
• Product Integration for the Generalized Abel Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability and robustness of collocation methods for Abel-type integral equations