- 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.
Lu, J, and Otto, F. "Optimal artificial boundary condition for random elliptic media."
Lu, J, Sachs, M, and Steinerberger, S. "Quadrature Points via Heat Kernel Repulsion.".
Lu, J, Sogge, CD, and Steinerberger, S. "Approximating Pointwise Products of Laplacian Eigenfunctions.".
Liu, J-G, Lu, J, Margetis, D, and Marzuola, JL. "Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model." Open Access Copy
Lu, J, Lu, Y, and Nolen, J. "Scaling limit of the Stein variational gradient descent: the mean field regime.".
Cai, Z, Lu, J, and Yang, S. "Inchworm Monte Carlo method for open quantum systems.".
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