Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems
arXiv:1811.076587 citationsh-index: 26
Originality Synthesis-oriented
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It provides a broad overview for researchers in applied mathematics and engineering, but is primarily a survey without novel results.
This article reviews differential-algebraic equations (DAEs) and shows how new applications, such as nonsmooth dynamical systems with contact and friction, drive innovations in theory and numerical methods.
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.