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

by Gerhard Wanner, Ernst Hairer, Christian Lubich

Book Overview

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...

• Format: Hardcover
• Language: English
• ISBN: 3540306633
• ISBN13: 9783540306634
• Release Date: February 2006
• Publisher: Springer
• Length: 644 Pages
• Weight: 2.29 lbs.
• Dimensions: 1.1" x 6.6" x 9.4"