On the error of the Euler scheme for approximation of solutions of nonlinear DDEs under inexact information
Numerical Analysis
2026-04-02 v1 Numerical Analysis
Abstract
We analyze the behavior of the Euler method for delay differential equations under nonstandard assumptions on the right-hand-side function f, when evaluations of f are corrupted by informational noise. We provide theoretical upper bounds on the Euler discretization error and present results from the numerical experiments.
Keywords
Cite
@article{arxiv.2604.01180,
title = {On the error of the Euler scheme for approximation of solutions of nonlinear DDEs under inexact information},
author = {Paweł Przybyłowicz and Martyna Wiącek},
journal= {arXiv preprint arXiv:2604.01180},
year = {2026}
}