2 citations · 3 across the 7 of their papers we have counts for
7 papers
Convergence analysis of time-splitting projection method for nonlinear quasiperiodic Schrödinger equation
Kai Jiang, Shifeng Li, Xiangcheng Zheng
This work proposes and analyzes an efficient numerical method for solving the nonlinear Schrödinger equation with quasiperiodic potential, where the projection method is applied in…
Designing a minimal Landau theory to stabilize desired quasicrystals
Wei Si, Shifeng Li, Pingwen Zhang +2
Interparticle interactions with multiple length scales play a pivotal role in the formation and stability of quasicrystals. Choosing a minimal set of length scales to stabilize a g…
High-accuracy numerical methods and convergence analysis for Schrödinger equation with incommensurate potentials
Kai Jiang, Shifeng Li, Juan Zhang
Numerical solving the Schrödinger equation with incommensurate potentials presents a great challenge since its solutions could be space-filling quasiperiodic structures without tra…
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…
A general alternating-direction implicit Newton method for solving complex continuous-time algebraic Riccati matrix equation
Shifeng Li, Kai Jiang Juan Zhang
In this paper, applying the Newton method, we transform the complex continuous-time algebraic Riccati matrix equation into a Lyapunov equation. Then, we introduce an efficient gene…
Two efficient block preconditioners for the mass-conserved Ohta-Kawasaki equation
Juan Zhang, Shifeng Li, Kai Jiang
In this paper, we propose two efficient block preconditioners to solve the mass-conserved Ohta-Kawasaki equation with finite element discretization. We also study the spectral dist…