Fangyan Yao

collaborators

2 papers

math.NA2025

Computing rough solutions of the KdV equation below $L^{2}$

Jiachuan Cao, Buyang Li, Yifei Wu +1

We establish a novel numerical and analytical framework for solving the Korteweg--de Vries (KdV) equation in the negative Sobolev spaces, where classical numerical methods fail due…

math.NA2024

Convergence of a moving window method for the Schrödinger equation with potential on $R^{d}$

Arieh Iserles, Buyang Li, Fangyan Yao

We propose a novel framework, called moving window method, for solving the linear Schrödinger equation with an external potential in $R^{d}$ . This method employs a smooth cu…

Computing rough solutions of the KdV equation below L2

Convergence of a moving window method for the Schrödinger equation with potential on Rd

Computing rough solutions of the KdV equation below $L^{2}$

Convergence of a moving window method for the Schrödinger equation with potential on $R^{d}$