196 citations · 1.6k across the 143 of their papers we have counts for
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A Concurrent Global-local Numerical Method for Multiscale PDEs
Yufang Huang, Jianfeng Lu, Pingbing Ming
We present a new hybrid numerical method for multiscale partial differential equations, which simultaneously captures the global macroscopic information and resolves the local micr…
An asymptotic preserving method for transport equations with oscillatory scattering coefficients
Qin Li, Jianfeng Lu
We design a numerical scheme for transport equations with oscillatory periodic scattering coefficients. The scheme is asymptotic preserving in the diffusion limit as Knudsen number…
Analysis of multiscale integrators for multiple attractors and irreversible Langevin samplers
Jianfeng Lu, Konstantinos Spiliopoulos
We study multiscale integrator numerical schemes for a class of stiff stochastic differential equations (SDEs). We consider multiscale SDEs with potentially multiple attractors tha…
Orbital minimization method with regularization
Jianfeng Lu, Kyle Thicke
We consider a modification of the OMM energy functional which contains an penalty term in order to find a sparse representation of the low-lying eigenspace of self-adjoint…
Preconditioning orbital minimization method for planewave discretization
Jianfeng Lu, Haizhao Yang
We present an efficient preconditioner for the orbital minimization method when the Hamiltonian is discretized using planewaves (i.e., pseudospectral method). This novel preconditi…