Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

K.E. Brenan, S.L. Campbell, L.R. Petzold (Autoren)

Buch | Softcover

268 Seiten

1996
Society for Industrial & Applied Mathematics,U.S. (Verlag)
9780898713534 (ISBN)

Titel z.Zt. nicht lieferbar
Versandkostenfrei
Auch auf Rechnung

Artikel merken

This book, originally published in 1989 and updated and expanded for the Classics edition, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAEs.

Preface to the Classics Edition
Preface
Chapter 1: Introduction. Why DAE's?
Basic Types of DAE's
Applications
Overview
Chapter 2: Theory of DAE's. Introduction
Solvability and the Index
Linear Constant Coefficient DAE's
Linear Time Varying DAE's
Nonlinear Systems
Chapter 3: Multistep Methods. Introduction
BDF Convergence
BDF Methods, DAE's, and Stiff Problems
General Linear Multistep Methods
Chapter 4: One-Step Methods. Introduction
Linear Constant Coefficient Systems
Nonlinear Index One Systems
Semi-Explicit Nonlinear Index Two Systems
Order Reduction and Stiffness
Extrapolation Methods
Chapter 5: Software and DAE's. Introduction
Algorithms and Strategies in DASSL
Obtaining Numerical Solutions
Solving Higher Index Systems
Chapter 6: Applications. Introduction
Systems of Rigid Bodies
Trajectory Prescribed Path Control
Electrical Networks
DAE's Arising from the Method of Lines
Bibliography
Chapter 7: The DAE Home Page
Introduction
Theoretical Advances
Numerical Analysis Advancements
Software Tools for DAE-Solving Environments
The DASSL Family
Bibliography
Index.

Erscheint lt. Verlag	31.12.1996
Reihe/Serie	Classics in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Maße	151 x 228 mm
Gewicht	374 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-13	9780898713534 / 9780898713534
Zustand	Neuware