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Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems

Kleinert, Jan and Simeon, Bernd (2019) Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems. In: European Consortium for Mathematics in Industry (Submitted)

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Abstract

The present article presents a summarizing view at differential-algebraic equations (DAEs) and analyzes how new application fields and corresponding mathematical models lead to innovations both in theory and in numerical analysis for this problem class. Recent numerical methods for nonsmooth dynamical systems subject to unilateral contact and friction illustrate the topicality of this development.

Item URL in elib:https://elib.dlr.de/124105/
Document Type:Contribution to a Collection
Title:Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kleinert, JanJan.Kleinert (at) dlr.deUNSPECIFIED
Simeon, Berndsiemon (at) mathematik.uni-kl.deUNSPECIFIED
Date:2019
Journal or Publication Title:European Consortium for Mathematics in Industry
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Editors:
EditorsEmail
Günther, MichaelBergische Universität Wuppertal
Status:Submitted
Keywords:Differential-algebraic equations; Historical remarks; Index no- tions; BDF methods; Runge-Kutta methods; Partial differential-algebraic equations; Constrained mechanical system; Electric circuit analysis; Differ- ential Variational Inequality; Unilateral Constraints; Measure differential In- clusion; Augmented Lagrangian; Complementarity Problem; Moreau–Jean time stepping
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Vorhaben SISTEC
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Deposited By: Kleinert, Jan
Deposited On:07 Dec 2018 15:28
Last Modified:31 Jul 2019 20:21

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