1 citations · 1 across the 3 of their papers we have counts for
4 papers · 1 filter
A vanishing-viscosity minimizing movement Fourier spectral method for scalar conservation laws
Lun Ji, Buyang Li, Fangyan Yao
We propose a vanishing-viscosity minimizing movement (VVMM) Fourier spectral method for scalar hyperbolic conservation laws under periodic boundary conditions. The method is a full…
Computing rough solutions of the KdV equation below
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…
Convergence of a moving window method for the Schrödinger equation with potential on
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 . This method employs a smooth cu…
Numerical approximation of discontinuous solutions of the semilinear wave equation
Jiachuan Cao, Buyang Li, Yanping Lin +1
A high-frequency recovered fully discrete low-regularity integrator is constructed to approximate rough and possibly discontinuous solutions of the semilinear wave equation. The pr…