Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries
Date
2022
Authors
Volume
10
Issue
Journal
Series Titel
Oberwolfach Preprints (OWP)
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Link to publishers version
Abstract
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.
Description
Keywords
Differential-algebraic equation, Inherent ordinary differential equation, Geometric integration, Symplectic flow, Orthogonal flow
Citation
Kunkel, P., & Mehrmann, V. (2022). Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2022-10
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License
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.