# Jianfeng Lu

## Details

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)

Gauge-invariant frozen Gaussian approximation method for the Schrodinger equation with periodic potentials
(2015)

Diffusion approximations of linear transport equations: Asymptotics and numerics
J. Comput. Phys. (2015)

Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
J. Comput. Phys. (2015)

Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation
J. Comput. Phys. (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.

Education:
Ph.D. - Princeton University
BS - Peking University