Solving Ordinary Differential Equations Ii Stiff and Differential-Algebraic Problems

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  • Engels
  • Hardcover
  • 9783540604525
  • 20 september 1996
  • 614 pagina's
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Samenvatting

It contains three chapters: Chapter IV on one-step (Runge-Kutta) meth­ ods for stiff problems, Chapter V on multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations.

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.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
20 september 1996
Aantal pagina's
614
Illustraties
Nee

Betrokkenen

Hoofdauteur
Ernst Hairer
Tweede Auteur
Gerhard Wanner
Co Auteur
Gerhard Wanner

Overige kenmerken

Editie
2
Extra groot lettertype
Nee
Product breedte
159 mm
Product hoogte
30 mm
Product lengte
241 mm
Studieboek
Ja
Verpakking breedte
157 mm
Verpakking hoogte
236 mm
Verpakking lengte
28 mm
Verpakkingsgewicht
975 g

EAN

EAN
9783540604525
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