This book focuses on general linear methods for ordinary differential equations, and there is currently no book on the market that deals specifically with this topic. The methods are treated in a systematic way with separate chapterson the construction and implementation of various classes of methods of practical interest. In addition, the presented methods have the potential (as building blocks of powerful new algorithms) for the numerical solution of differential systems that might compete with those currently in use based on linear multistep, predictor-corrector, or Runge-Kutta methods. Chapter coverage includes: differential equations and systems; introduction to general linear methods; diagonally implicit multistage integration methods; implementation of diagonally implicit multistage integration methods (DIMSIMs); two-step Runge-Kutta methods (TSRK); implementation of TSRK methods; general linear methods with inherent Runge-Kutta stability; and implementation of general linear methods with inherent Runge-Kutta stability (IRKs).
- ISBN: 978-0-470-40855-1
- Editorial: John Wiley & Sons
- Encuadernacion: Cartoné
- Páginas: 504
- Fecha Publicación: 07/08/2009
- Nº Volúmenes: 1
- Idioma: Inglés