3 papers
math.NA2026
Analysis of gradient flow for computing defocusing action ground states of rotating nonlinear Schrödinger equations
Wei Liu, Tingfeng Wang, Yongjun Yuan +1
This work focuses on the numerical computation of defocusing action ground states for rotating nonlinear Schrödinger equations (RNLS) using a direct gradient flow (DGF) method. We…
math.NA2026
Convergence analysis of -normalized gradient flow for action ground state of nonlinear Schrödinger equation
Wei Liu, Tingfeng Wang, Xiaofei Zhao
This paper presents a rigorous convergence analysis of the -normalized gradient flow with asymptotic Lagrange multiplier (GFALM) method for computing the action ground sta…
math.NA2025
Arbitrary High-Order Maximum Principle-Preserving and Energy Dissipating Schemes for Gradient Flows
Qing Cheng, Tingfeng Wang, Xiaofei Zhao
For gradient flows, the existing structure-preserving schemes are difficult to achieve arbitrary high-order accuracy in time while preserving maximum-principle (MBP) and energy dis…