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

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.