5 papers
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…
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…
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…
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…
Improved scalar auxiliary variable schemes for original energy stability of gradient flows
RUi Chen, Tingfeng Wang, Xiaofei Zhao
Scalar auxiliary variable (SAV) methods are a class of linear schemes for solving gradient flows that are known for the stability of a `modified' energy. In this paper, we propose…