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

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.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2934
2. Numerical Methods for Ordinary Differential Equations
3. Numerical Methods for Ordinary Differential Equations
4. J. C. Butcher - Numerical Methods for Ordinary Differential Equations
5. Numerical Methods for Ordinary Differential Equations (Reupload)
6. The Numerical Solution of Ordinary and Partial Differential Equations
7. Numerical Solution of Ordinary Differential Equations (Mathematics in Science and Engineering 74)
8. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (Classics in Applied Mathematics)
9. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
10. Computer Methods for Ordinary Differential Equations and Differential Algebraic Equations
11. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
12. Handbook of Differential Equations: Ordinary Differential Equations, Volume 3
13. Handbook of Differential Equations: Ordinary Differential Equations, Volume 1
14. Handbook of Differential Equations: Ordinary Differential Equations, Volume 2
15. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems
16. Differential and Integral Inequalities: Theory and Applications, Vol. 1: Ordinary Differential Equations