On the error of the Euler scheme for approximation of solutions of nonlinear DDEs under inexact information
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908931593338880 |
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| author | Przybyłowicz, Paweł Wiącek, Martyna |
| author_facet | Przybyłowicz, Paweł Wiącek, Martyna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01180 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the error of the Euler scheme for approximation of solutions of nonlinear DDEs under inexact information Przybyłowicz, Paweł Wiącek, Martyna Numerical Analysis 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. |
| title | On the error of the Euler scheme for approximation of solutions of nonlinear DDEs under inexact information |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.01180 |