Symplectic Geometric Method of Hamiltoian Systems
Speaker: Zaijiu Shang
Date:Every Tuesday & Thursday 2021-09-13~12-03, 09:50-11:25
Venue:BIMSA Rm 1110
Zoom ID: 638 227 8222,Password:BIMSA
Abstract:
本课程在概括介绍哈密尔顿系统基本理论的基础上,主要讲授辛几何算法的基本知识,介绍其前沿进展,内容包括:哈密尔顿系统概论、数值积分方法概论、辛几何算法、KAM理论、向后误差分析、辛算法的稳定性、若干应用
Prerequisite:
数学与应用数学专业本科知识;微分流形、外微分形式、辛几何初步
References:
1. V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag Berlin, 1978.
2. E. Hairer, C. Lubich, G. Wanner, Geometric Numerical Integration---Structure-Preserving Algorithms for Ordinary Differential Equations, Springer-Verlag, 2002.
3. K. Feng, M. Z. Qin, Symplectic Geometric Algorithms for Hamiltonian Systems, Zhejiang Science and Technology Publishing House, Hangzhou and Springer-Verlag Berlin, 2010.
If there is any change of the time and place of the course, please refer to the latest information published on the website