報告題目：Higher Order Energy Stable ETD based Methods for Gradient Flows
報 告 人：王曉明 教授 南方科技大學
報告時間：2020年9月11日 10:00
報告地點：伟德线上平台三樓會議室
校内聯系人：張然 zhangran@jlu.edu.cn
報告摘要：
Many natural and engineering problems follow gradient flow structures in the sense that systems evolve to decrease certain energy. The dynamics of most of these gradient systems are complicated and hence numerical methods are called for. There are at least two desirable features for numerical algorithms for gradient flows with long evolution process: efficient higher oder in time, and long-time stability. We present a class of efficient higher-order energy stable methods for a class of gradient flows based on the exponential time differencing (ETD) method combined with multi-step methods and interpolation. As a specific example, we present a third order ETD based scheme for thin film epitaxial growth model together with numerical results establishing the convergence and stability of the scheme, and the ability of the scheme to capture long-time scaling properties of the system.
報告人簡介：
王曉明本科及碩士畢業于複旦大學，博士畢業于印第安納大學布盧明頓分校，主要研究方向為應用偏微分方程及其數值方法，在CPAM、JFM、SINUM等雜志發表論文90多篇，系中組部認定的國家級人才 。曾任職紐約庫朗研究所、普林斯頓高等研究院、愛荷華州立大學、複旦大學。回國前為美國佛羅裡達州立大學長聘正教授和數學系系主任，現任南方科技大學數學系系主任、講席教授。
