- Professor of Mathematics
- Associate Professor of Physics (Secondary)
- Associate Professor of Chemistry (Secondary)
- Associate Professor in Physics (Secondary)
Research Areas and Keywords
electronic structure models, calculus of variations, semiclassical analysis
electronic structure models, multiscale modeling and simulations, numerical analysis, rare events simulation, computational physics, time-frequency analysis, fast algorithms, stochastic numerical methods, kinetic equations, nonlinear Schrodinger equations, quantum chemistry, computational statistical mechanics, optimization, high frequency wave propagation
electronic structure models, quantum chemistry, kinetic theory, quantum information
PDE & Dynamical Systems
multiscale modeling and simulations, numerical analysis, calculus of variations, kinetic equations, Schroedinger equations
electronic structure models, multiscale modeling and simulations, rare events simulation, computational physics, kinetic equations, nonlinear Schroedinger equations, quantum chemistry, computational statistical mechanics
rare events simulation, computational statistical mechanics, stochastic numerical methods
Signals, Images & Data
time-frequency analysis, fast algorithms, optimization, applied harmonic analysis
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.
Lu, Jianfeng, and Lexing Ying. Fast algorithm for periodic density fitting for Bloch waves. Open Access Copy
Lu, Jianfeng, and Stefan Steinerberger. On Pointwise Products of Elliptic Eigenfunctions.
Lu, Yulong, et al. Accelerating Langevin Sampling with Birth-death.
Lu, Jianfeng, et al. Deep Network Approximation for Smooth Functions.
Lu, Jianfeng, and Felix Otto. An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus. Open Access Copy
Thicke, Kyle, et al. Computing edge states without hard truncation.
Nishimura, Akihiko, et al. “Discontinuous Hamiltonian Monte Carlo for discrete parameters and discontinuous likelihoods.” Biometrika, Oxford University Press (OUP). Crossref, doi:10.1093/biomet/asz083. Full Text