Mathematics Online First Collections

Rosenbrock—Wanner–Type Methods

Theory and Applications

Editors: Jax, T., Bartel, A., Ehrhardt, M., Günther, M., Steinebach, G. (Eds.)

Free Preview
  • 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
see more benefits

Buy this book

eBook $69.99
price for Mexico
  • ISBN 978-3-030-76810-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for Mexico
  • ISBN 978-3-030-76809-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.


About the authors

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.


Table of contents (5 chapters)

Table of contents (5 chapters)
  • Rosenbrock-Wanner Methods: Construction and Mission

    Pages 1-17

    Lang, Jens

  • Water and Hydrogen Flow in Networks: Modelling and Numerical Solution by ROW Methods

    Pages 19-47

    Steinebach, Gerd (et al.)

  • Exponential Rosenbrock Methods and Their Application in Visual Computing

    Pages 49-68

    Luan, Vu Thai (et al.)

  • W-Methods and Approximate Matrix Factorization for Parabolic PDEs with Mixed Derivative Terms

    Pages 69-101

    González-Pinto, Severiano (et al.)

  • Two-Step W-Methods

    Pages 103-120

    Klinge, Marcel (et al.)

Buy this book

eBook $69.99
price for Mexico
  • ISBN 978-3-030-76810-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for Mexico
  • ISBN 978-3-030-76809-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Services for this Book

Bibliographic Information

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
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-76810-2
DOI
10.1007/978-3-030-76810-2
Softcover ISBN
978-3-030-76809-6
Series ISSN
2730-633X
Edition Number
1
Number of Pages
VII, 120
Number of Illustrations
19 b/w illustrations, 17 illustrations in colour
Topics