Rosenbrock—Wanner–Type Methods
Theory and Applications
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Beschreibung
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.
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.
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
Autor*in
Tim Jax
Themen in »Rosenbrock—Wanner–Type Methods«
Approximate Matrix Factorization Exponential Methods Exponential Rosenbrock Methods Multirate Methods Network Simulation Partial Differential Equations PDEs with Mixed Derivative Terms Rosenbrock-Wanner Methods Two-step W-methods Visual Computing W-methods