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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
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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/ | ||||||||||||
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| Document Type: | Contribution to a Collection | ||||||||||||
| Title: | Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems | ||||||||||||
| Authors: |
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| 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: |
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| Status: | Accepted | ||||||||||||
| 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 System Technology | ||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||
| DLR - Program: | R SY - Space System Technology | ||||||||||||
| DLR - Research theme (Project): | R - Vorhaben SISTEC (old) | ||||||||||||
| 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: | 28 Mar 2023 23:52 |
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