Title :
Discrete Midpoint-Type Variational Integration
Abstract :
In this paper, we will study discretization of variational integration, especially midpoint-type variational integration, which preserves the symplecticity property of Hamiltonian systems. And numerical experiments will show us the superiority of the constructed variational integration.
Keywords :
Educational institutions; Equations; Information systems; Mathematical model; Mechanical factors; Presses; Hamiltonian systems; midpoint rule; pendulum equation; symplecticity; variational integration;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2011 International Conference on
Conference_Location :
Chengdu, China
Print_ISBN :
978-1-4577-1540-2
DOI :
10.1109/ICCIS.2011.135