Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations
Numerical Analysis
2026-01-19 v1 Numerical Analysis
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2601.11132,
title = {Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations},
author = {Sebastian Franz and Sascha Trostorff},
journal= {arXiv preprint arXiv:2601.11132},
year = {2026}
}