26 citations · 27 across the 7 of their papers we have counts for
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quant-ph2026
An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws
Kezhen Wang, Junpeng Hu, Lei Zhang
Quantum algorithms for nonlinear partial differential equations remain challenging because nonlinear dynamics are not directly amenable to unitary quantum simulation. Building on t…
math.NA2026
Quantum Simulation of Stokes Flow via Schrödingerisation and Artificial Compressibility
Shi Jin, Jiaqi Tang, Qilong Zhai +1
Simulating incompressible Stokes flow is essential for studies in microfluidics and low-Reynolds number hydrodynamics. However, the computational cost of resolving the associated s…
math.NA2026
On Optimal Convergence Rates for the Nonlinear Schrödinger Equation with a Wave Operator via Localized Orthogonal Decomposition
Hanzhang Hu, Zetao Ma, Lei Zhang
In this paper, we develop a Localized Orthogonal Decomposition (LOD) method for the two-dimensional time-dependent nonlinear Schrödinger equation with a wave operator. We prove tha…