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

Brenan, K. E.; Campbell, S. L.; Petzold, L. R.

Brossura

ISBN 10: 0898713536 ISBN 13: 9780898713534

Casa editrice: Society for Industrial and Applied Mathematics, 1987

Riassunto

This book describes some of the places where differential-algebraic equations (DAE's) occur.

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Recensione

'[This book] is indisputably the best existing book on DAEs. It has structured the most important results on solvability properties, numerical methods, and software for DAEs. It is well written and describes difficulties with DAEs in a comprehensible way. It does not require any prior knowledge of the subject by the reader. The book is recommended to anyone who wants an introduction to DAEs. It is also a book that everyone who performs reseach on DAEs should have.' Anders Barrlund, OPTIMA

Contenuti

Preface; 1. Introduction: why DAE's?; Basic types of DAE's; applications; Overview; 2. Theory of DAE's; Iintroduction; solvability and the index; Linear constant coefficient DAE's; Linear time varying DAE's; Nonlinear systems; 3. Multistep methods; Introduction; DBF convergence; BDF methods, DAE's and stiff problems; General linear multistep methods; 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; 5. Software and DAE's; Introduction; Algorithms and Strategies in Dassl; Obtaining numerical solutions; Solving higher index systems; 6. Applications. Introduction; Systems of rigid bodies; Trajectory prescribed path control; Electrical networks; DAE's arising from the method of lines; Bibliography; 7. The DAE home page; Introduction; theoretical advances; Numerical analysis advancements; DAE software; DASSL; Supplementary bibliography; Index.

Dettagli dell?edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 0898713536
• ISBN 13: 9780898713534
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 266
• Contatto del produttore: non disponibile