太阳成集团tyc234cc官网邀请专家申请表
报告人 | 单位 | 南京师范大学 | |
报告题目 | A general symplectic integrator for canonical Hamiltonian systems | ||
报告时间 | 1月3日周五 16：00-17：00 | 地点 | 太阳成集团tyc234cc官网 第二报告厅 |
邀请人 | 孙志忠 | ||
报告摘要 | The focus of this paper is to recommend a novel symplectic scheme for canonical Hamiltonian systems. The new scheme contains a real parameter which makes the symplectic Euler methods and implicit midpoint rule as its special cases. The validity of the symplecticity of this scheme is well explained from the perspectives of the generating function and partitioned Runge-Kutta methods. The generating function of the new symplectic scheme with new coordinates is studied, and these coordinates include the three typical coordinates. Employing the generating function method and symmetric composition methods, two new classes of symplectic schemes of any high order are devised, respectively. Furthermore, based on these symplectic schemes, two energy-preserving schemes and the feasibility of constructing higher order energy-preserving schemes are presented by the parameter serving for clever tuning. The solvability of all the schemes mentioned is proved, and the numerical performances of these schemes are demonstrated with numerical experiments. | ||
报告人简介 | 王雨顺,教授,博士生导师。91-98年就读于南京师范大学，获理学硕士，硕士期间入选我国“21世纪数学家后备人才”，被选送到北京大学数科院进修近两年。98年至2001年就读于中科院计算数学所，获理学博士学位， 2001年至2004年在中科院大气物理所作博士后研究，04年起一直在南京师范大学数科院工作，已经主持5项国家基金委项目，同时作为主要成员参加科技部“863”课题、“973”项目、“863”计划各一项以及基金委重点项目，入选江苏省333”工程，江苏省青蓝工程”青年学术带头人，江苏省创新团队主持人；获得江苏省科技进步奖，江苏省数学成就奖。专著《偏微分方程保结构算法》获得政府图书奖。期刊International Journal of Computer Mathematics、中科院期刊《数值计算与计算机应用》编委。江苏省计算数学学会秘书长。 | ||
