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学术报告
学术报告
Zaijiu Shang: Symplectic integration of Hamiltonian systems
发布人:系统管理员??威尼斯官方网站:2016-07-27?? 浏览次数:21

Speaker: Zaijiu Shang, Chinese Academy of Sciences

Time: July 19, 14:30-15:10

Address: Room 327, 3rd floor, New Activity Center, HIT


Title: Symplectic integration of Hamiltonian systems


Abstract: Simulating the long time dynamic behavior of a nonlinear conservative system of differential equations is an important and challenging problem. One of the main challenges is to design integration methods which possess as good as possible numerical stability and preserve as many as possible of the dynamic properties of the system. In this talk we will explain to what extent the symplectic integration methods can give a stable numerical simulation to the typical dynamics of Hamiltonian systems. The explanation is mainly based on the analysis on preservation and breakdown of dynamic invariants of the systems by symplectic integration.

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