Midpoint rule as a variational-symplectic integrator: Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
On variational and symplectic time integrators for Hamiltonian systems
Article history: Received 18 August 2015 Received in revised form 22 October 2015 Accepted 22 November 2015 Available online 2 December 2015
متن کاملAnomaly in Symplectic Integrator
Effective Liouville operators of the firstand the second-order symplectic integrators are obtained for the one-dimensional harmonic-oscillator system. The operators are defined only when the time step is less than two. Absolute values of the coordinate and the momentum monotonically increase for large time steps. PACS numbers: 05.10.-a, 02.10.Hh
متن کاملSymplectic maps for approximating polynomial Hamiltonian systems.
We study how to approximate polynomial Hamiltonian systems by composition of symplectic maps. Recently, a number of methods preserving the symplectic character have appeared. However, they are not completely satisfactory because, in general, they are computationally expensive, very difficult to obtain or their accuracy is relatively low. The efficiency of a numerical method depends on both its ...
متن کاملSymplectic theory of completely integrable Hamiltonian systems
This paper explains the recent developments on the symplectic theory of Hamiltonian completely integrable systems on symplectic 4-manifolds, compact or not. One fundamental ingredient of these developments has been the understanding of singular affine structures. These developments make use of results obtained by many authors in the second half of the twentieth century, notably Arnold, Duisterm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2006
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.73.024001