Abstract
In the 1970s of the last century, the progress in powerful simulation software for mechanical multibody systems and for electrical circuits led to a new class of models that is characterized by differential equations and algebraic constraints. These Differential-Algebraic Equations (DAEs) became soon a hot topic, and the methodology that has emerged since then represents now a general field in applied and computational mathematics, with various new applications in science and engineering. Taking a historical approach, the present article introduces a summarizing view at DAEs, with emphasis on numerical aspects and without aiming for completeness. Recent numerical methods for nonsmooth dynamical systems subject to unilateral contact and friction illustrate the topicality of this development.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Kleinert, J., Simeon, B. (2022). Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems. In: Günther, M., Schilders, W. (eds) Novel Mathematics Inspired by Industrial Challenges. Mathematics in Industry(), vol 38. Springer, Cham. https://doi.org/10.1007/978-3-030-96173-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-96173-2_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-96172-5
Online ISBN: 978-3-030-96173-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)