3 papers
math.NA2025
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…
math.NA2024
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 i…
math.NT2024
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…