Di Fang, Assistant Professor

Contact Info:

Office Location:	515 S Mangum St, #5302, Durham, NC 27701
Email Address:
Web Page:	http://math.duke.edu/~difang

Teaching (Fall 2025):

• MATH 555.01, ORDINARY DIFF EQUATIONS Synopsis

  Gross Hall 304B, WF 08:30 AM-09:45 AM

Education:

Ph.D.

University of Wisconsin, Madison

2019

Keywords:

Applied mathematics • Differential equations • Quantum computing

Recent Publications   (More Publications)

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]

Recent Grant Support

• CAREER: Quantum Simulation with Unbounded Operators: Algorithms, Analysis and Applications, National Science Foundation, 2025/08-2030/07.      
• Quantum utility through advanced computational quantum algorithms (QUACQ), California Institute of Technology, 2024/09-2029/08.      
• Conference: Mathematical Fellowships for the Annual Conference on Quantum Information Processing (QIP) 2025, National Science Foundation, 2024/12-2025/11.      
• Towards Quantum Speedup for Solving High-Dimensional Partial Differential Equations, National Science Foundation, 2023/10-2025/07.      
• Quantum Numerical Analysis for High-dimensional Differential Equations, Oak Ridge Associated Universities, 2024/06-2025/05.