题目: Numerical Methods of Quasicrystals
报告人：蒋凯 教授（湘潭大学数学与计算科学学院）
邀请人：陈亮
时间：2023年12月14日 上午10：00-11：00
地点：数学院425
摘要：
Quasicrystals, related to irrational numbers, are important space-filling structures without decay nor translational invariance. How to numerically compute these incommensurate systems presents a big challenge. In the past years, accurate and efficient methods of quasicrystals have been developed. In this talk, we firstly present the periodic approximation method and projection method, as will as the corresponding convergence analysis. Then, we will apply these numerical methods to some applications, including soft-matter quasicrystals, grain boundaries, quasicrystal phase transition, quasiperiodic homogenization, incommensurated Schrodinger systems. Finally, if time allows, we will introduce a new approach, the finite point recovery method, to address non-smooth quasicrystals.
专家简介:
个人简介：蒋凯，湘潭大学教授，博士生导师，入选国家高层次青年人才计划，湖南省杰出青年基金获得者，主要从事准晶的数学与计算方面的研究。近年来，研究成果发表在PNAS, SIAM J. Numer. Anal., SIAM J. Sci. Comp., SIAM J. Appl. Math., J. Comp. Phys., PRE等国内外重要期刊，主持国家重点研发计划项目课题、国家自然科学基金3项（面上2项、青年1项），以及多项省部级项目，获中国计算数学学会青年论文一等奖。
