Editors:
- Gives a detailed overview of the history of Rosenbrock–Wanner methods
- Goes into detail about further developments towards W-methods, exponential methods and two-step methods
- Includes practical applications in the fields of network simulation and visual computing
Part of the book series: Mathematics Online First Collections (MOFC)
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Table of contents (5 chapters)
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Front Matter
About this book
This book discusses the development of the Rosenbrock—Wanner methods from the origins of the idea to current research with the stable and efficient numerical solution and differential-algebraic systems of equations, still in focus. The reader gets a comprehensive insight into the classical methods as well as into the development and properties of novel W-methods, two-step and exponential Rosenbrock methods. In addition, descriptive applications from the fields of water and hydrogen network simulation and visual computing are presented.
Editors and Affiliations
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Fachbereich Elektrotechnik. Maschinenbau und Technikjournalismus, Hochschule Bonn-Rhein-Sieg, Sankt Augustin, Germany
Tim Jax
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Arbeitsgruppe Angewandte Mathematik und Numerische Analysis, Bergische Universität Wuppertal, Wuppertal, Germany
Andreas Bartel, Matthias Ehrhardt, Michael Günther
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Fachbereich Elektrotechnik. Maschinenbau und Technikjournalismus und Institut für Technik, Ressourcenschonung und Energieeffizienz, Hochschule Bonn-Rhein-Sieg, Sankt Augustin, Germany
Gerd Steinebach
About the editors
Tim Jax is Postdoc at University of Applied Sciences Bonn-Rhein-Sieg and German Aerospace Center, Cologne. He received his doctorate at Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM) at the University of Wuppertal. His field of research is the enhancement of Rosenbrock–Wanner–Type Methods towards W-methods for DAEs and applications in network simulation.
Andreas Bartel has his habilitation and is lecturer at the chair of applied mathematics within the Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM) at the University of Wuppertal. His research interests include modelling and simulation for computational engineering, in particular coupled systems (PDAEs) and time domain methods.Matthias Ehrhardt is a professor of applied mathematics and numerical analysis at the IMACM, the Institute of Mathematical Modelling, Analysis and Computational Mathematics at the University of Wuppertal, Germany. His research focus in the numerical treatment of partial differential equations, especially on unbounded domains and numerical methods in computational finance.
Michael Günther is a full professor of applied mathematics at the IMACM, the Institute of Mathematical Modelling, Analysis and Computational Mathematics at the University of Wuppertal, Germany. His main field of research is modelling, analysis and numerical simulation of time-dependent coupled heterogeneous problems with applications in computational engineering, computational finance and computational physics.
Gerd Steinebach is professor of mathematics and research representative in the field of modelling and simulation in the Institute of Technology, Resource and Energy-Efficient Engineering at University of Applied Sciences Bonn-Rhein-Sieg. His areas of specialization are numerical methods for differential-algebraic systems with applications in energy and fluid flow network simulation.
Bibliographic Information
Book Title: Rosenbrock—Wanner–Type Methods
Book Subtitle: Theory and Applications
Editors: Tim Jax, Andreas Bartel, Matthias Ehrhardt, Michael Günther, Gerd Steinebach
Series Title: Mathematics Online First Collections
DOI: https://doi.org/10.1007/978-3-030-76810-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-76809-6Published: 25 July 2021
eBook ISBN: 978-3-030-76810-2Published: 24 July 2021
Series ISSN: 2730-633X
Series E-ISSN: 2730-6348
Edition Number: 1
Number of Pages: VII, 120
Number of Illustrations: 19 b/w illustrations, 17 illustrations in colour
Topics: Numerical Analysis, Algorithms, Computational Science and Engineering, Mathematical Software, Mathematical Modeling and Industrial Mathematics