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Geometric Numerical Integration

Structure-Preserving Algorithms for Ordinary Differential Equations
BuchKartoniert, Paperback
644 Seiten
Englisch
Springererschienen am11.03.20102nd ed. Pr.
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR235,39
BuchGebunden
EUR235,39
E-BookPDF1 - PDF WatermarkE-Book
EUR223,63
E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextNumerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book.
ZusammenfassungA unique feature of the book is the numerical treatment of KAM theory. There is no other book which deals with this.
Details
ISBN/GTIN978-3-642-05157-9
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2010
Erscheinungsdatum11.03.2010
Auflage2nd ed. Pr.
ReiheSpringer Series in Computational Mathematics
Seiten644 Seiten
SpracheEnglisch
Gewicht936 g
IllustrationenXVI, 644 p.
Artikel-Nr.11229915

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
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)mehr

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