Geometric Numerical Integration

Name: Geometric Numerical Integration
SKU: 3807361
Price: 601.99 AUD
Availability: InStock

Structure-Preserving Algorithms for Ordinary Differential Equations

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Format:

Paperback / softback

Series:

Springer Series in Computational Mathematics

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Description

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.

Release date Australia

March 11th, 2010

Author

Audience

Professional & Vocational

Edition

2nd ed. 2006. 2nd printing 2010

Illustrations

XVI, 644 p.

Pages

644

Series

Springer Series in Computational Mathematics

Dimensions

156x234x33

ISBN-13

9783642051579

Product ID

3807361

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