Full Description
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.
Contents
- Rosenbrock-Wanner Methods: Construction and Mission. - Water and Hydrogen Flow in Networks: Modelling and Numerical Solution by ROW Methods. - Exponential Rosenbrock Methods and Their Application in Visual Computing. - W-Methods and Approximate Matrix Factorization for Parabolic PDEs with Mixed Derivative Terms. - Two-StepW-Methods.