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

• Main Authors: Hairer, Ernst (Author), Wanner, Gerhard (Author), Lubich, Christian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Springer Series in Computational Mathematics, 31
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Numerical analysis.; Biomathematics.; Physics.; Numerical Analysis.; Analysis.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.; Numerical and Computational Physics.; Mathematical and Computational Biology.

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, com...