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

  • 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.

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Metadaten
Document Type:Preprint
Language:German
Author:Jan Kleinert, Bernd Simeon
DOI:https://doi.org/10.48550/arXiv.1811.07658
ArXiv Id:http://arxiv.org/abs/1811.07658
Publisher:arXiv
Date of first publication:2018/11/19
Departments, institutes and facilities:Fachbereich Ingenieurwissenschaften und Kommunikation
Institut für Technik, Ressourcenschonung und Energieeffizienz (TREE)
Dewey Decimal Classification (DDC):5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Entry in this database:2019/01/03