AN EXTENSION OF THE PRODUCT INTEGRATION METHOD TO L1 WITH APPLICATIONS IN ASTROPHYSICS

DOI10.3846/13926292.2016.1243590zbMath1488.45002OpenAlexW2554931795MaRDI QIDQ5011652

Mario Ahues, Laurence Grammont, Hanane Kaboul

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2016.1243590

zbMATH Keywords

Fredholm integral equationproduct integration methoditerative refinementKolmogorov-Riesz-Fréchet theorem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items

Product integration method for treating a nonlinear Volterra integral equation with a weakly singular kernel ⋮ Generalized Jacobi method for linear bounded operators system ⋮ An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• On the product integration method for solving singular integral equations in scattering theory
• An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres
• A numerical study of iterative refinement schemes for weakly singular integral equations
• The Numerical Solution of Integral Equations of the Second Kind
• Singularity subtraction in the numerical solution of integral equations
• A superconvergence result for solutions of compact operator equations
• Unnamed Item
• Unnamed Item