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Produktbild: Geometric Numerical Integration
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Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations

Aus der Reihe Springer Series in Computational Mathematics
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211,99 € UVP 241,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.03.2010

Verlag

Springer Berlin

Seitenzahl

644

Maße (L/B/H)

23,3/15,6/4 cm

Gewicht

936 g

Auflage

2nd ed. 2006. 2nd printing 2010

Sprache

Englisch

ISBN

978-3-642-05157-9

Beschreibung

Rezension

From the reviews of the second edition:


"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


"The second revised edition of the monograph is a fine work organized in fifteen chapters, updated and extended. … The material of the book is organized in sections which are … self-contained, so that one can dip into the book to learn a particular topic … . A person interested in geometrical numerical integration will find this book extremely useful." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1094 (20), 2006)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.03.2010

Verlag

Springer Berlin

Seitenzahl

644

Maße (L/B/H)

23,3/15,6/4 cm

Gewicht

936 g

Auflage

2nd ed. 2006. 2nd printing 2010

Sprache

Englisch

ISBN

978-3-642-05157-9

Herstelleradresse

Springer Nature Customer Service Center GmbH
Europaplatz 3
69115 Heidelberg
DE
ProductSafety@springernature.com

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  • Produktbild: Geometric Numerical Integration
  • 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.