- Associate Professor of Mathematics
- Associate Professor of Chemistry (Secondary)
- Associate Professor of Physics (Secondary)
Research Areas and Keywords
PDE & Dynamical Systems
Signals, Images & Data
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.
More specifically, his current research focuses include:
Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.
Nishimura, A, Dunson, D, and Lu, J. "Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods.".
Cao, Y, Lu, J, and Lu, Y. "Exponential decay of Rényi divergence under Fokker-Planck equations.".
Khoo, Y, Lu, J, and Ying, L. "Solving parametric PDE problems with artificial neural networks." Open Access Copy
Li, Y, Lu, J, and Wang, Z. "Coordinate-wise descent methods for leading eigenvalue problem.".
Li, X, Lin, L, and Lu, J. "PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham density functional theory." Open Access Copy
Lu, J, and Steinerberger, S. "Detecting localized eigenstates of linear operators." Open Access Copy
Chen, K, Li, Q, Lu, J, and Wright, SJ. "Random Sampling and Efficient Algorithms for Multiscale PDEs.".
Lin, L, Lu, J, and Vanden-Eijnden, E. "A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning) (Published online)." Communications on Pure and Applied Mathematics. Full Text Open Access Copy