| Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations 2006. 2nd Print Edition Contributor(s): Hairer, Ernst (Author), Lubich, Christian (Author), Wanner, Gerhard (Author) |
|
 |
ISBN: 364205157X ISBN-13: 9783642051579 Publisher: Springer OUR PRICE: $237.49 Product Type: Paperback - Other Formats Published: March 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Number Systems - Science | Physics - Mathematical & Computational - Mathematics | Mathematical Analysis |
| Dewey: 515.352 |
| Series: Springer Computational Mathematics |
| Physical Information: 1.33" H x 6.14" W x 9.21" (2.02 lbs) 644 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents a theory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory. |