1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NA2021★ 1 cited
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…
math.NA2021
A fully discrete low-regularity integrator for the nonlinear Schrödinger equation
Alexander Ostermann, Fangyan Yao
For the solution of the cubic nonlinear Schrödinger equation in one space dimension, we propose and analyse a fully discrete low-regularity integrator. The scheme is explicit and c…
math.NA2020★ 1 cited
A first-order Fourier integrator for the nonlinear Schrödinger equation on without loss of regularity
Yifei Wu, Fangyan Yao
In this paper, we propose a first-order Fourier integrator for solving the cubic nonlinear Schrödinger equation in one dimension. The scheme is explicit and can be implemented usin…