报告人: 陈浩 副教授（重庆师范大学）

报告人简介: 陈 浩，毕业于sunbet中国官网，获理学博士学位， 现为重庆师范大学数学科学学院副教授，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，在《J. Comput. Phys.》、《Numer. Linear. Alge. Appl.》、《BIT Numer. Math.》等计算数学重要刊物上发表科研论文20余篇。

报告（一）

报告题目：Preconditioned iterative methods for implicit Runge-Kutta and boundary value method discretizations of parabolic PDEs

报告摘要：In this talk, we discuss preconditioned iterative methods for linear systems arising in numerical integration of parabolic PDEs by implicit Runge-Kutta and boundary value methods. Preconditioning strategies based on Kronecker product –based splitting are proposed, and some useful properties of the preconditioned matrix are established.

报告时间: 2019年8月26日（星期一）上午9:00-10:30

报告地点: 科技楼南楼811室

报告（二）

报告题目：Kronecker product-based preconditioners for fractional diffusion equations

报告摘要：In this talk, we will consider preconditioned iterative methods for linear systems arising in the numerical discretizations of fractional diffusion equations. Fractional diffusion equations of 1,2,3-dimensional are covered. Preconditioning strategies based on a Kronecker product-based splitting and structure preserving approximation to 1D discretized fractional diffusion operator are proposed. Numerical examples are presented to illustrate the effectiveness of the approachx.

报告时间: 2019年8月26日（星期一）上午10:30-12:00

报告地点: 科技楼南楼811室

报告（三）

报告题目：Some splitting preconditioners for the Bidomain model

报告摘要：In this talk, we consider fast iterative solvers for block two-by-two linear systems arising in numerical discretizations of the Bidomain model. Time integration schemes including Strang splitting and implicit Runge-Kutta methods are discussed. Some alternating splitting iteration methods are established and analyzed. The potential of the approaches is illustrated by numerical experiments.

报告时间: 2019年8月26日（星期一）下午3:00-4:30

报告地点: 科技楼南楼811室

报告（四）

报告题目：Fast iterative solver for boundary value method discretizations of a parabolic optimal control problem

报告摘要：In this talk, a distributed optimal control problem with the constrained of a parabolic PDE is considered. Boundary value methods are used to solve the coupled initial/final value problems arising from the first order optimality conditions for this problem. Preconditioning method based on a matching strategy and a Kronecker product-based splitting technique is established. Numerical experiments are presented to illustrate the accuracy and computational efficiency of the approach.

报告时间: 2019年8月26日（星期一）下午4:20-6:00

报告地点: 科技楼南楼811室