An edition of Geometric Numerical Integration (2002)

Geometric Numerical Integration

Structure-Preserving Algorithms for Ordinary Differential Equations

Geometric Numerical Integration
Ernst Hairer, Ernst Hairer, Ch ...
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Last edited by ImportBot
December 20, 2023 | History
An edition of Geometric Numerical Integration (2002)

Geometric Numerical Integration

Structure-Preserving Algorithms for Ordinary Differential Equations

The subject of this book is numerical methods that preserve geometric properties of the flow of a differential equation: symplectic integrators for Hamiltonian systems, symmetric integrators for reversible systems, methods preserving first integrals and numerical methods on manifolds, including Lie group methods and integrators for constrained mechanical systems, and methods for problems with highly oscillatory solutions. A complete theory of symplectic and symmetric Runge-Kutta, composition, splitting, multistep and various specially designed integrators is presented, and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory and related perturbation theories. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.

Publish Date
Language
English
Pages
660

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Previews available in: English

Book Details


Classifications

Library of Congress
QA297-299.4

The Physical Object

Pagination
xvi, 644
Number of pages
660

ID Numbers

Open Library
OL37096371M
ISBN 13
9783540306665

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
December 20, 2023 Edited by ImportBot import existing book
February 25, 2022 Created by ImportBot Imported from Better World Books record