A class of structure-preserving schemes for the Landau-Lifshitz equation in ferromagnets

讲座题目：A class of structure-preserving schemes for the Landau-Lifshitz equation in ferromagnets
讲座时间 Datetime:2025年11月23日，周日，9:00-11:00
地点 Venue: 海琴二号楼457
主持人 Host：李露 副教授
报告人 Speaker: 李晓丽 教授
单位 Affiliation: 山东大学
报告摘要 Abstract: 
The magnetization structures in the form of topological solitons have become important research interest following the fabrication of various ferromagnetic materials. Static solutions of the Landau-Lifshitz type equation play a crucial role in the study of magnetization structures in various ferromagnetic materials. In this talk we first present new higher-order implicit-explicit (IMEX) schemes for the Landau-Lifshitz equation. These schemes are linear, length preserving, modified energy stable and only require solving one elliptic equation with constant coefficients at each time step. We show that numerical solutions of these schemes are uniformly bounded without any restriction on the time step size, and establish rigorous error estimates of orders 1 to 5 in a unified framework. Next we present some recent developments in constructing the linear, length preserving and original energy preserving schemes.
报告人简介：
李晓丽，山东大学教授，博士生导师，国家高层次青年人才入选者，山东省杰青，山东大学杰出中青年学者。担任中国数学会计算数学分会常务理事，CSIAM油水资源数值方法专委会秘书长。主要研究领域为偏微分方程数值解与计算流体力学。在SIAM J. Numer. Anal., SIAM J. Sci. Comput., Math. Comp., J. Fluid Mech., Math. Mod. Meth. Appl. Sci.及J Comput. Phys.等计算数学高水平期刊上发表学术论文多篇。主持国家自然科学基金面上项目、重点项目子课题、青年项目等多个国家及省部级项目。