59 citations · 137 across the 17 of their papers we have counts for
17 papers
Accurately recover global quasiperiodic systems by finite points
Kai Jiang, Qi Zhou, Pingwen Zhang
Quasiperiodic systems, related to irrational numbers, are space-filling structures without decay nor translation invariance. How to accurately recover these systems, especially for…
On the approximation of quasiperiodic functions with Diophantine frequencies by periodic functions
Kai Jiang, Shifeng Li, Pingwen Zhang
We present an analysis of the approximation error for a -dimensional quasiperiodic function with Diophantine frequencies, approximated by a periodic function with the fundam…
Numerical Methods and Analysis of Computing Quasiperiodic Systems
Kai Jiang, ShiFeng Li, Pingwen Zhang
Quasiperiodic systems are important space-filling ordered structures, without decay and translational invariance. How to solve quasiperiodic systems accurately and efficiently is o…
Tilt grain boundaries of hexagonal structures: a spectral viewpoint
Kai Jiang, Wei Si, Jie Xu
We propose a spectral viewpoint for grain boundaries that are generally quasiperiodic. To accurately capture the spectra computationally, it is crucial to adopt the projection meth…
High-order energy stable schemes of incommensurate phase-field crystal model
Kai Jiang, Wei Si
This article focuses on the development of high-order energy stable schemes for the multi-length-scale incommensurate phase-field crystal model which is able to study the phase beh…
Transition pathways connecting crystals and quasicrystals
Jianyuan Yin, Kai Jiang, An-Chang Shi +2
Due to structural incommensurability, the emergence of a quasicrystal from a crystalline phase represents a challenge to computational physics. Here the nucleation of quasicrystals…