题目: Dynamics, numerical analysis, and some geometry

报告人：Prof. Dr. Christian Lubich   (Tuebingen University, Germany)

简介：Ch. Lubich 教授是国际著名的数学家，尤其在数值分析，微分方程几何算法研究方面作出了杰出的贡献。2001年荣获 SIAM Dahlquist Prize；2018年荣获 SIAM Outstanding Paper Award。2018年在国际数学家大会（ICM）上作一小时特邀报告。目前担任 Foundations of Computational Mathematics，SIAM Journal of Numerical Analysis，Mathematics of Computation，IMA Journal of Numerical Analysis，Numerische Mathematik 等国际顶级期刊的编委。

摘要：Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we review the development and theory of symplectic integrators for Hamiltonian ordinary and partial differential equations, of dynamical low-rank approximation of time-dependent large matrices and tensors, and its use in numerical integrators for Hamiltonian tensor network approximations in quantum dynamics.

时间：2019年8月26日  下午16:00-17:00

地点：西大楼108报告厅

邀请人：吴新元 老师