报告人：陈 浩（重庆师范大学）

邀请人：张诚坚

报告时间：2023年8月18日（星期五）16:30-18:30

报告地点：科技楼南楼813室

报告题目：Exponential integrators for two classes of differential matrix equations

报告摘要：Differential Riccati equations play a crucial role in optimal control and estimation theory. The solution of differential Riccati equation is usually symmetric and positive semidefinite and exhibits low-rank structure. The Lindblad equation is a widely used quantum master equation to approximate the dynamical evolution of the open quantum systems. The solution of the Lindblad equation possesses positivity and trace preserving properties. Since the solution matrices of these differential matrix equations have certain mathematical properties, the numerical methods applied should be designed to preserve those properties, this is a crucial issue in long-term simulations. In this talk, I will report our very recent results on structure preserving exponential schemes for the above two differential matrix equations.

报告人简介：陈 浩，博士，现为重庆师范大学数学科学学院教授、硕士生导师，中国仿真算法专业委员会委员。主要从事微分方程数值解及数值线性代数研究，主持过国家自然科学基金及省级科研项目多项，在《J. Comput. Phys.》、 《Numer. Linear. Alge. Appl.》、 《BIT》、 《J. Sci. Comput.》等计算数学重要刊物上发表科研论文30余篇。