An Efficient Time-splitting Method for the Ehrenfest Dynamics. - Di Fang 003; Shi Jin; Christof Sparber (Multiscale Model. Simul., 2018)

A Diabatic Surface Hopping Algorithm Based on Time Dependent Perturbation Theory and Semiclassical Analysis. - Di Fang 003; Jianfeng Lu 001 (Multiscale Model. Simul., 2018)

Observable Error Bounds of the Time-splitting Scheme for Quantum-Classical Molecular Dynamics. - Di Fang 003; Albert Tres (CoRR, 2021)

Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics. - Dong An; Di Fang 003; Lin Lin 001 (CoRR, 2021)

Time-dependent unbounded Hamiltonian simulation with vector norm scaling. - Dong An; Di Fang 003; Lin Lin 001 (Quantum, 2021)

Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation. - Dong An; Di Fang 003; Stephen Jordan; Jin-Peng Liu; Guang Hao Low; Jiasu Wang (CoRR, 2022)

Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits. - Zhenning Cai; Di Fang 003; Jianfeng Lu 001 (CoRR, 2022)

Learning many-body Hamiltonians with Heisenberg-limited scaling. - Hsin-Yuan Huang; Yu Tong 002; Di Fang 003; Yuan Su (CoRR, 2022)

Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory. - Dong An; Di Fang 003; Lin Lin 001 (J. Comput. Phys., 2022)

Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation. - Dong An; Di Fang 003; Lin Lin 001 (Quantum, 2022)

Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics. - Di Fang 003; Albert Tres Vilanova (SIAM J. Numer. Anal., 2023)

Time-marching based quantum solvers for time-dependent linear differential equations. - Di Fang 003; Lin Lin 001; Yu Tong 002 (Quantum, 2023)

Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence. - Di Fang 003; Diyi Liu; Rahul Sarkar (CoRR, 2024)

Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation. - Yonah Borns-Weil; Di Fang 003 (Multiscale Model. Simul., 2025)

Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation. - Yonah Borns-Weil; Di Fang 003; Jiaqi Zhang (CoRR, 2025)

Uniform semiclassical observable error bound of Trotterization without the Egorov theorem: a simple algebraic proof. - Di Fang 003; Conrad Qu (CoRR, 2025)

Qubit-Efficient Quantum Algorithm for Linear Differential Equations. - Di Fang 003; David Lloyd George; Yu Tong 002 (CoRR, 2025)