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math.NA2026
Some uniform error analysis for gKdV equations in dispersionless limit regime before dispersive shock
Bing Li, Tingfeng Wang, Xiaofei Zhao
This work establishes uniform error estimates for classical numerical schemes applied to the generalized Korteweg-de Vries (gKdV) equation in the dispersionless limit regime, speci…
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…