Publications of Di Fang    :chronological  alphabetical  combined  bibtex listing:

Papers Published

1. Fang, D; Liu, D; Sarkar, R, Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence, Communications in Mathematical Physics, vol. 406 no. 6 (June, 2025) [doi]  [abs]
2. Borns-Weil, Y; Fang, D, UNIFORM OBSERVABLE ERROR BOUNDS OF TROTTER FORMULAE FOR THE SEMICLASSICAL SCHRÖDINGER EQUATION, Multiscale Modeling and Simulation, vol. 23 no. 1 (January, 2025), pp. 255-277 [doi]  [abs]
3. Fang, D; Lu, J; Tong, Y, Mixing Time of Open Quantum Systems via Hypocoercivity, vol. 134 no. 14 (April, 2024), pp. 140405 [doi]  [abs]
4. Liu, JP; An, D; Fang, D; Wang, J; Low, GH; Jordan, S, Efficient Quantum Algorithm for Nonlinear Reaction–Diffusion Equations and Energy Estimation, Communications in Mathematical Physics, vol. 404 no. 2 (December, 2023), pp. 963-1020 [doi]  [abs]
5. An, D; Fang, D; Jordan, S; Liu, J-P; Low, GH; Wang, J, Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation, in arXiv 2205.01141, Commun. Math. Phys., vol. 404 (October, 2023), pp. 963-1020 [doi]
6. Huang, H-Y; Tong, Y; Fang, D; Su, Y, Learning Many-Body Hamiltonians with Heisenberg-Limited Scaling., Physical review letters, vol. 130 no. 20 (May, 2023), pp. 200403 [doi]  [abs]
7. Fang, D; Vilanova, AT, Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics, SIAM Journal on Numerical Analysis, vol. 61 no. 1 (February, 2023), pp. 26-44, Society for Industrial & Applied Mathematics (SIAM) [doi]
8. Fang, D; Lin, L; Tong, Y, Time-marching based quantum solvers for time-dependent linear differential equations, Quantum, vol. 7 (January, 2023) [doi]  [abs]
9. An, D; Fang, D; Lin, L, Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory, Journal of Computational Physics, vol. 451 (February, 2022) [doi]  [abs]
10. An, D; Fang, D; Lin, L, Time-dependent Hamiltonian Simulation of Highly Oscillatory Dynamics and Superconvergence for Schrödinger Equation, Quantum, vol. 6 (January, 2022) [doi]  [abs]
11. An, D; Fang, D; Lin, L, Time-dependent unbounded Hamiltonian simulation with vector norm scaling, Quantum, vol. 5 (January, 2021), pp. 1-49 [doi]  [abs]
12. Fang, D; Li, L, Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise, ESAIM Mathematical Modelling and Numerical Analysis, vol. 54 no. 2 (March, 2020), pp. 431-463 [doi]  [abs]
13. Fang, D; Ha, SY; Jin, S, Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions, Mathematical Models and Methods in Applied Sciences, vol. 29 no. 7 (June, 2019), pp. 1349-1385 [doi]  [abs]
14. Fang, D; Jin, S; Markowich, P; Perthame, B, Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks, Smai Journal of Computational Mathematics, vol. 5 (January, 2019), pp. 229-249 [doi]  [abs]
15. Fang, D; Lu, J, A diabatic surface hopping algorithm based on time dependent perturbation theory and semiclassical analysis, Multiscale Modeling and Simulation, vol. 16 no. 4 (January, 2018), pp. 1603-1622 [doi]  [abs]
16. Fang, D; Jin, S; Sparber, C, An efficient time-splitting method for the ehrenfest dynamics, Multiscale Modeling and Simulation, vol. 16 no. 2 (January, 2018), pp. 900-921 [doi]  [abs]