报告题目: Quasiperiodic Systems: Algorithms, Analysis and Applications
报 告 人: 蒋凯 教授(湘潭大学)
报告时间:2024年8月13日(星期二) 09:00-10:00
报告地点:数学楼114(小报告厅)
校内联系人:董波 教授 联系电话:84708351-8211
报告摘要: Quasiperiodic systems, related to irrational numbers, are important space-filling structures without decay nor translational invariance. How to numerically compute these incommensurate systems poses challenges. In this talk, we will present some accurate and efficient methods for quasiperiodic systems based on the arithmetic property of irrational numbers, including periodic approximation method, projection method, and finite point recovery method. The corresponding approximation analysis is also given. Then we will show some applications, such as quasicrystals and phase transitions, grain boundaries, quasiperiodic homogenization, quasiperiodic Schrödinger systems.
报告人简介:蒋凯,湘潭大学教授、国家高层次青年人才青年长江学者,主要从事无理数引发的数学与算法等方面的研究,近年来,在PNAS, SINUM, SISC, Macromolecules 等计算数学和交叉领域重要期刊发表论文多篇,主持国家重点研发计划项目课题1项,国家自然基金面上项目2项、青年项目1项,获湖南省杰出青年基金资助和中国计算数学学会优秀青年论文一等奖。