Numerical Solution of Initial-Value Problems in Differential Algebraic Equations

Brenan, K. E.; Campbell, S. L.; Petzold, Linda Ruth

ISBN 10: 0898713536 / ISBN 13: 9780898713534

Edité par Society for Industrial and Applied Mathematics, 1987

N° de réf. du vendeur 1214213-n

Synopsis :

Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, 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 DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date.

Présentation de l'éditeur: Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, 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 DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date.

Détails bibliographiques

Titre : Numerical Solution of Initial-Value Problems...
Éditeur : Society for Industrial and Applied Mathematics
Date d'édition : 1987
Reliure : Couverture souple
Etat : New
Edition : 2ème Édition