activity
20242026
most citedMaximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen--Cahn equations

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2026

Asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones

Kaijian Sha, Xiaoming Wang, Hao Wu

We study the asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones in the material properties. As the transition-layer…

math.AP2026

Vanishing permeability limit of convection in multilayer porous media

Kaijian Sha, Xiaoming Wang

We analyze the asymptotic behavior of the Boussinesq-Darcy system describing convection in layered porous media in the limit where the permeability of one layer tends to zero. We s…

math.AP2025

Vanishing layer thickness limit of convection in multilayer porous media

Kaijian Sha, Xiaoming Wang

Within the Darcy-Boussinesq framework for convection in multilayered porous media, we investigate the singular limit in which the thickness of one layer tends to zero. We establish…

math.NA2024

A note on the stability of two families of two-step schemes

Xiaoming Wang, Yinqian Yu

We investigate the stability of two families of three-level two-step schemes that extend the classical second order BDF (BDF2) and second order Adams-Moulton (AM2) schemes. For a f…

math.NA2024★ 1 cited

Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen--Cahn equations

Chaoyu Quan, Xiaoming Wang, Pinzhong Zheng +1

The energy dissipation law and the maximum bound principle are two critical physical properties of the Allen--Cahn equations. While many existing time-stepping methods are known to…