Book Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations Ernst Hairer; Christian Lubich; Gerhard Wanner

portada Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)

Type

Physical Book

Publisher

Springer

Author

Ernst Hairer; Christian Lubich; Gerhard Wanner

Year

2006

Language

English

Pages

644

Format

Hardcover

Weight

2.32

ISBN

3540306633

ISBN13

9783540306634

Edition No.

Synopsis "Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)"

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.