21 citations · 21 across the 2 of their papers we have counts for
2 papers
quant-ph2023
Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions
Shi Jin, Xiantao Li, Nana Liu +1
This paper explores the feasibility of quantum simulation for partial differential equations (PDEs) with physical boundary or interface conditions. Semi-discretisation of such prob…
math.NA2022★ 21 cited
Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations
Shi Jin, Nana Liu, Yue Yu
We investigate time complexities of finite difference methods for solving the high-dimensional linear heat equation, the high-dimensional linear hyperbolic equation and the multisc…