Geometric Numerical Integration is popular PDF and ePub book, written by Ernst Hairer in 2013-03-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometric Numerical Integration can be Read Online from any device for your convenience.
Geometric Numerical Integration Book PDF Summary
This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. 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 numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.
Detail Book of Geometric Numerical Integration PDF
- Author : Ernst Hairer
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783662050187
- Genre : Mathematics
- Total Page : 526 pages
- Language : English
- PDF File Size : 8,8 Mb
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