1 citations · 1 across the 5 of their papers we have counts for
6 papers
A unifying framework for quantum algorithms for time-dependent non-unitary dynamics
Xiaojing Dong, Chuwen Ma, Yizhe Peng +1
We present an improved autonomization method for quantum simulation of time-dependent homogeneous dissipative linear systems, combining a clock-variable reformulation with Schrödin…
A grad-curl conforming virtual element method for a grad-curl problem linking the 3D quad-curl problem and Stokes system
Xiaojing Dong, Yibing Han, Yunqing Huang
Based on the Stokes complex with vanishing boundary conditions and its dual complex, we reinterpret a grad-curl problem arising from the quad-curl problem as a new vector potential…
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations
Xiaojing Dong, Yunqing Huang, Tianwen Wang
This paper proposes a virtual element method (VEM) combined with a second-order implicit-explicit scheme based on the scalar auxiliary variable (SAV) method for the incompressible…
Conservative nonconforming virtual element method for stationary incompressible magnetohydrodynamics
Xiaojing Dong, Yunqing Huang, Tianwen Wang
In this paper, we propose a conservative nonconforming virtual element method for the full stationary incompressible magnetohydrodynamics model. We leverage the virtual element sat…
The grad-div conforming virtual element method for the quad-div problem in three dimensions
Xiaojing Dong, Yibing Han, Yunqing Huang
We propose a new stable variational formulation for the quad-div problem in three dimensions and prove its well-posedness. Using this weak form, we develop and analyze the $\boldsy…
Investigation on a quantum algorithm for linear differential equations
Xiaojing Dong, Yizhe Peng, Qili Tang +2
Ref.[BCOW17] introduced a pioneering quantum approach (coined BCOW algorithm) for solving linear differential equations with optimal error tolerance. Originally designed for a spec…