3 papers
math.NA2026
A Discontinuous Galerkin Method for H(curl)-Elliptic Hemivariational Inequalities
Xiajie Huang, Fei Wang, Weimin Han +1
In this paper, we develop a Discontinuous Galerkin (DG) method for solving H(curl)-elliptic hemivariational inequalities. By selecting an appropriate numerical flux, we construct a…
quant-ph2025
Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions
Nikita Guseynov, Xiajie Huang, Nana Liu
We propose an explicit, oracle-free quantum framework for numerically simulating general linear partial differential equations (PDEs), extending previous work to incorporate (a) Ro…
quant-ph2025
Efficient explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations
Nikita Guseynov, Xiajie Huang, Nana Liu
One of the most promising applications of quantum computers is solving partial differential equations (PDEs). By using the Schrodingerisation technique - which converts non-conserv…