Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
Author:   Ernst Hairer ,  Christian Lubich ,  Gerhard Wanner
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2nd ed. 2006
Volume:   31
ISBN:  

9783540306634


Pages:   644
Publication Date:   22 February 2006
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations


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Author:   Ernst Hairer ,  Christian Lubich ,  Gerhard Wanner
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd ed. 2006
Volume:   31
Dimensions:   Width: 21.00cm , Height: 3.60cm , Length: 29.70cm
Weight:   2.430kg
ISBN:  

9783540306634


ISBN 10:   3540306633
Pages:   644
Publication Date:   22 February 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Examples and Numerical Experiments.- Numerical Integrators.- Order Conditions, Trees and B-Series.- Conservation of First Integrals and Methods on Manifolds.- Symmetric Integration and Reversibility.- Symplectic Integration of Hamiltonian Systems.- Non-Canonical Hamiltonian Systems.- Structure-Preserving Implementation.- Backward Error Analysis and Structure Preservation.- Hamiltonian Perturbation Theory and Symplectic Integrators.- Reversible Perturbation Theory and Symmetric Integrators.- Dissipatively Perturbed Hamiltonian and Reversible Systems.- Oscillatory Differential Equations with Constant High Frequencies.- Oscillatory Differential Equations with Varying High Frequencies.- Dynamics of Multistep Methods.

Reviews

Aus den Rezensionen zur 2. Auflage: ... die ... uberarbeitete und inhaltlich erweiterte Auflage ... 'Geometric Integration' steht fur strukturerhaltende Integration ! Der aktuelle Band liefert auf etwa 600 Seiten eine umfassende Darstellung dieses Forschungsgebietes, das sich etwa in den letzten 20 Jahren signifikant entwickelt hat und in verschiedensten Anwendungsgebieten von Relevanz ist. ! Wie auch die beiden vorangegangenen Bande der Autoren uber die Integration nichtsteifer und steifer Systeme ist dies ein Standardwerk, das auch redaktionall [sic] und graphisch vorbildlich aufbereitet ist. Es solle in jedem einschlagigen Regal seinen Platz finden. (W. Auzinger, in: Internationale Mathematische Nachrichten, 2008, Vol. 62, Issue 209, S. 62)


From the reviews of the second edition: <p> This book is highly recommended for advanced courses in numerical methods for ordinary differential equations as well as a reference for researchers/developers in the field of geometric integration, differential equations in general and related subjects. It is a must for academic and industrial libraries. -- MATHEMATICAL REVIEWS <p> The second revised edition of the monograph is a fine work organized in fifteen chapters, updated and extended. a ] The material of the book is organized in sections which are a ] self-contained, so that one can dip into the book to learn a particular topic a ] . A person interested in geometrical numerical integration will find this book extremely useful. (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1094 (20), 2006)


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