Authors:
- Provides a complete exposition of the algorithms, with numerous examples and benchmarks, and an emphasis on the implementation of the schemes with different complementarity problems solvers
- A sort of advanced users' manual, that PhD students or senior researchers who want to get acquainted with this field and make numerical simulations on their computer, can use as a source of information
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM)
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Table of contents (14 chapters)
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Front Matter
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Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts
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Front Matter
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Formulations of Nonsmooth Dynamical Systems
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Front Matter
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Time Integration of Nonsmooth Dynamical Systems
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Front Matter
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Numerical Methods for the One-Step Nonsmooth Problems
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Front Matter
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The SICONOS Software: Implementation and Examples
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Front Matter
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About this book
Reviews
From the reviews:
"This monograph is a valuable and concise contribution to the numerics of nonsmooth ODEs … . It is clearly designed for engineering applications in computational mechanics, and the main concern is the discussion of the construction of algorithms and their properties … . written in a formal mathematical style with precise definitions, followed by results stated as Lemma, Proposition, or Theorem (and references to the literature for the proofs). This makes the overall work accessible for both, researchers in mechanics and in mathematics." (Christian Wieners, Zentralblatt für Angewandte Mathemtik und Mechanik, Vol. 88 (7), 2008)
“The present book is a research monograph with numerous information and references to original publications which gives to the book an encyclopaedic nature. … parallel presentation of nonsmooth models in mechanics and electronics indicates that the mentioned effects will also be of interest for people working in mechatronics, microelectromechanics and multiphysics. The book is intended for graduate students and scientists doing research and development in mechanics and electrical engineering, designers of modern electromechanical devices, as well as to researchers from other scientific communities … .” (Georgios E. Stavroulakis, Zentralblatt MATH, Vol. 1173, 2009)
Authors and Affiliations
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INRIA, team-project BIPOP Inovallée, Montbonnot, France
Vincent Acary, Bernard Brogliato
Bibliographic Information
Book Title: Numerical Methods for Nonsmooth Dynamical Systems
Book Subtitle: Applications in Mechanics and Electronics
Authors: Vincent Acary, Bernard Brogliato
Series Title: Lecture Notes in Applied and Computational Mechanics
DOI: https://doi.org/10.1007/978-3-540-75392-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-75391-9Published: 19 February 2008
Softcover ISBN: 978-3-642-09464-4Published: 22 November 2010
eBook ISBN: 978-3-540-75392-6Published: 30 January 2008
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 1
Number of Pages: XXI, 525
Topics: Mechanical Engineering, Theoretical and Applied Mechanics, Vibration, Dynamical Systems, Control, Computational Intelligence