3 papers
quant-ph2026
A unifying framework for quantum algorithms for time-dependent non-unitary dynamics
Xiaojing Dong, Yizhe Peng, Yue Yu
Quantum algorithms for simulating linear differential equations have attracted growing interest, driven by applications ranging from Hamiltonian dynamics to general non-unitary dyn…
math.NA2026
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…
math.NA2025
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…