报告人: 张启峰(浙江理工大学理学院)
报告题目:Compact and linear method for the generalized diffusion equation
报告摘要:The generalized diffusion equation with a delay has inherent complex nature because its analytical solutions are hard to obtain. Therefore, one has to seek numerical methods, especially the high-order accurate ones, for their approximate solutions. In this talk, we have established the results of the numerical asymptotic stability of the compact and linear method for the two classes of generalized delay diffusion equation. The convergent results in the maximum norm are studied according to the consistency analysis and Lax theorem. In the end, a series of numerical tests on stability and convergence are carried out to support our theoretical results.
报告人简介: 张启峰,博士,浙江理工大学理学院副教授、硕士生导师,主要从事偏微分方程数值解研究,特别在时滞偏微分方程的紧致差分法方面做出过有一定特色的研究工作,主持过国家自然科学基金项目1项及浙江省自然科学基金2项,获国家留学基金委项目资助访问加拿大麦基尔大学1年,在《Communications in Nonlinear Science and Numerical Simulation》、《Applied Mathematics Letter》、《Applied Mathematical Modelling》等计算与应用数学刊物上发表科研论文20余篇.
报告时间: 2019年3月16日上午9:40-10:40
报告地点: 科技楼南楼702室