Scientific Computing with Ordinary Differential Equations

Peter Deuflhard, F. Bornemann

486 pages, parution le 04/09/2002

Ajouter à une liste

Indisponible

Résumé

The textbook provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving boundary value problems in ordinary differential equations. It would be a useful and timely text for a graduate course in numerical analysis of ODEs. It is written at a level which is accessible to such an audience, covers a wide variety of topics, both classical and modern, and contains a generous supply of homework exercises at the end of each chapter.

Contents

Mathematical Models of Time-dependent Processes
Existence and Uniqueness of Initial-Value Problem
Stability with respect to Problem data
Explicit One-step Methods
Step-size Control in One-step Methods
One-step Methods for Stiff Initial-Value Problems
Multistep Methods
Software.

L'auteur - Peter Deuflhard

Deuflhard, P., Konrad-Zuse-Zentrum Berlin, Germany;

L'auteur - F. Bornemann

Bornemann, F., Munich University of Technology, Munich, Germany

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Peter Deuflhard, F. Bornemann
Parution	04/09/2002
Nb. de pages	486
Format	16 x 24
Couverture	Relié
Poids	825g
Intérieur	Noir et Blanc
EAN13	9780387954622
ISBN13	978-0-387-95462-2