Home Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations by Ernst Hairer; Christian Lubich; Gerhard Wanner (ISBN: 9783642051579)

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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations Paperback - 2010

Name: Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations
Price: 200.85 GBP
Availability: InStock
Author: Ernst Hairer
ISBN: 9783642051579

by Ernst Hairer; Christian Lubich; Gerhard Wanner

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From the publisher

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. A complete self-contained theory of symplectic and symmetric methods, which include 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. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods.

Details

Title Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
Author Ernst Hairer; Christian Lubich; Gerhard Wanner
Binding Paperback
Edition 2nd ed. 2006. 2n
Pages 644
Volumes 1
Language ENG
Publisher Springer
Publication date 2010-03-11
Illustrated Yes
Features Illustrated
ISBN 9783642051579 / 364205157X
Weight 2.02 lbs (0.92 kg)
Dimensions 9.21 x 6.14 x 1.33 in (23.39 x 15.60 x 3.38 cm)
Themes
- Aspects (Academic): Science/Technology Aspects
Category Mathematics
Dewey Decimal Code 515.352

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