E-Book, Englisch, Band 31, 660 Seiten
Hairer / Lubich / Wanner Geometric Numerical Integration
2. Auflage 2006
ISBN: 978-3-540-30666-5
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
Structure-Preserving Algorithms for Ordinary Differential Equations
E-Book, Englisch, Band 31, 660 Seiten
Reihe: Springer Series in Computational Mathematics
ISBN: 978-3-540-30666-5
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.




