Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Sebastian Franz, Sascha Trostorff
DOI: 10.48550/arxiv.2601.11132
Cited by: 0

Abstract

Using the theory of evolutionary equations, we consider abstract differential equations including non-local integral operators. After providing a condition for the well-posedness of the addressed equation we consider a numerical method of approximating its solution. We provide convergence proofs under conditions on the kernel of the integral operator and the solution and finish the paper with some simulation results.

Fields of Study & Subjects

Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis Numerical methods for differential equations

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 January 2026
Document type
Preprint