Discretization of inherent ODEs and the geometric integration of DAEs with symmetries

Autor:	Peter Kunkel, Volker Mehrmann
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Computational Mathematics Optimization and Control (math.OC) Computer Networks and Communications Applied Mathematics 37J06 65L80 65L05 65P10 FOS: Mathematics Numerical Analysis (math.NA) Mathematics - Numerical Analysis Mathematics - Optimization and Control Software
Popis:	Discretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization scheme suitable for the numerical integration of ODEs. For DAEs with symmetries it is shown that the inherent ODE can be constructed in such a way that it inherits the symmetry properties of the given DAE and geometric properties of its flow. This in particular allows the use of geometric integration schemes with a numerical flow that has analogous geometric properties. Oberwolfach Preprints;2022-10
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ece819d5bc6aa4f65e76323c29be53f1 http://arxiv.org/abs/2205.08105 Zobrazit plný text záznamu