Speaker: Kai Jiang, professor, Xiangtan University

Date: June 11, 2024

Time: 14:30-17:30

Location: B924, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

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 the past years, accurate and efficient methods of quasicrystals have been developed. In this talk, we will present recently developed numerical methods for quasiperiodic systems, including periodic approximation method, projection method, and finite point recovery method. The corresponding approximation analysis will also be given. Then we will present some applications, including quasicrystals and their phase transitions, quasiperiodic homogenization, quasiperiodic Schrödinger systems, grain boundaries.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/192191.htm