80 citations · 286 across the 38 of their papers we have counts for
38 papers
A modified splitting method for the cubic nonlinear Schrödinger equation
Yifei Wu
As a classical time-stepping method, it is well-known that the Strang splitting method reaches the first-order accuracy by losing two spatial derivatives. In this paper, we propose…
An unfiltered low-regularity integrator for the KdV equation with solutions below
Buyang Li, Yifei Wu
This article is concerned with the construction and analysis of new time discretizations for the KdV equation on a torus for low-regularity solutions below . New harmonic anal…
Large global solutions for energy-critical nonlinear Schrödinger equation
Ruobing Bai, Jia Shen, Yifei Wu
In this work, we consider the 3D defocusing energy-critical nonlinear Schrödinger equation . Applying the ou…
Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases
Jia Shen, Avy Soffer, Yifei Wu
In this paper, we study the defocusing energy-critical nonlinear Schrödinger equations When , we prove the almost sure scat…
Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation
Jia Shen, Avy Soffer, Yifei Wu
We study the random data problem for 3D, defocusing, cubic nonlinear Schrödinger equation in with . First, we prove that the almost sure local wel…
A second order low-regularity integrator for the nonlinear Schrödinger equation
Alexander Ostermann, Fangyan Yao, Yifei Wu
In this paper, we analyse a new exponential-type integrator for the nonlinear cubic Schrödinger equation on the dimensional torus . The scheme has recently also be…