Stiff and differential-algebraic problems E. Hairer, G. Wanner. Solving ordinary differential equations; Springer series in computational mathematics 14.

Hairer, Ernst; Wanner, Gerhard

ISBN 10: 3642052207 / ISBN 13: 9783642052200

Verlag: Berlin, Springer, 2002

Beschreibung

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 65 HAI 2nd.Ed. 9783642052200 Sprache: Englisch Gewicht in Gramm: 550.

Bestandsnummer des Verkäufers 2501888

Bibliografische Details

• Titel: Stiff and differential-algebraic problems E. Hairer, G. Wanner. Solving ordinary differential equations; Springer series in computational mathematics 14.
• Verlag: Berlin, Springer
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3642052207
• ISBN-13: 9783642052200
• Einband: Hardcover
• Auflage: 2. Auflage
• Gewicht: 550 Gramm
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

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.

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.