Deducing properties of ODEs from their discretization

Autor:	Quispel, G. R. W., McLaren, D. I., Evripidou, C.
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs Mathematical Physics Mathematics - Numerical Analysis 34A05 G.1.7 J.2
Druh dokumentu:	Working Paper
Popis:	We show that some hard to detect properties of quadratic ODEs (eg certain preserved integrals and measures) can be deduced more or less algorithmically from their Kahan discretization, using Darboux Polynomials (DPs). Somewhat similar results hold for ODEs of higher degree/order using certain other birational discretization methods. Comment: 5 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.05951 Zobrazit plný text záznamu View this record from Arxiv