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