# Jianfeng Lu

## Associate Professor

## Details

** An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
**

(2015)

** Density matrix minimization with ${\ell}_1$ regularization
**

Communications in Mathematical Sciences
(2015)

** Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions
**

Phys. Rev. E
(2015)

** Half-space kinetic equations with general boundary conditions
**

(2015)

** Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics
**

Communications in Mathematical Sciences
(2015)

** Gauge-invariant frozen Gaussian approximation method for the Schrodinger equation with periodic potentials
**

(2015)

** Density matrix minimization with $\ell_1$ regularization
**

Commun. Math. Sci.
(2015)

** Traction boundary conditions for molecular static simulations
**

(2015)

** Crystal image analysis using 2D synchrosqueezed transforms
**

Multiscale Model. Simul.
(2015)

** Efficient rare event simulation for failure problems in random media
**

SIAM J. Sci. Comput.
(2015)

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; and machine learning for materials science.

**Education:**

BS - Peking University