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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 in…
math.NA2022★ 1 cited
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…