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Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer Series in Computational Mathematics, Band 14) - Softcover

Hairer, Ernst; Wanner, Gerhard

 
9783642052200: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer Series in Computational Mathematics, Band 14)
Softcover
ISBN 10: 3642052207 ISBN 13: 9783642052200
Verlag: Springer, 2010

Inhaltsangabe

The subject of this book is the solution of stiff differential equations and of differential-algebraic systems. This second completely revised and enlarged edition contains, in particular, the following new material: explicit methods with optimal stability, new numerical tests, properties of error growth functions, recent progress in numerical differential-algebraic equations, improved FORTRAN codes etc.

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Von der hinteren Coverseite

The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). There is a chapter on one-step and extrapolation methods for stiff problems, another on multistep methods and general linear methods for stiff problems, a third on the treatment of singular perturbation problems, and a last one on differential-algebraic problems with applications to constrained mechanical systems. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g. in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.

Ernst Hairer and Gerhard Wanner were jointly awarded the 2003 Peter Henrici Prize at ICIAM 2003 in Sydney, Australia.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3642052207
ISBN 13 
9783642052200
Einband
Taschenbuch
Auflage
2
Anzahl der Seiten
632
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