### Preprints

- with Yu Cao,
*Lindblad equation and its semiclassical limit of the Anderson-Holstein model*(2017) [arXiv:1704.03838] - with Kyle Thicke,
*Cubic scaling algorithms for RPA correlation using interpolative separable density fitting*(2017) [arXiv:1704.03609] - with Rongjie Lai,
*Point cloud discretization of Fokker-Planck operators for committor functions*(2017) [arXiv:1703.09359] - with Haizhao Yang,
*Phase space sketching for crystal image analysis based on synchrosqueezed transforms*(2017) [arXiv:1703.10877] - with Qiang Du, Xingjie Helen Li, and Xiaochuan Tian,
*A quasinonlocal coupling method for nonlocal and local diffusion models*(2017) [arXiv:1704.00348] - with Zhenning Cai,
*A surface hopping Gaussian beam method for high-dimensional transport systems*(2017) [arXiv:1703.06116] - with Jian-Guo Liu, Dio Margetis, and Jeremy Marzuola,
*Asymmetry in crystal facet dynamics of homoepitaxy in a continuum model*(2017) [arXiv:1704.01554] - with Ludwig Gauckler, Jeremy Marzuola, Frederic Rousset, and Katharina Schratz,
*Trigonometric integrators for quasilinear wave equations*(2017) [arXiv:1702.02981] - with Lei Li and Jian-Guo Liu,
*Fractional stochastic differential equations satisfying fluctuation-dissipation theorem*(2016) [arXiv:1612.04274] - with Stefan Steinerberger,
*A variation on the Donsker-Varadhan inequality for the principal eigenvalue*(2016) [arXiv:1611.90294] - with Xiaoou Li, Jingchen Liu and Xiang Zhou,
*Moderate deviation for random elliptic PDE with small noise*(2016) [arXiv:1703.05285] - with Qin Li,
*An asymptotic preserving method for transport equations with oscillatory scattering coefficients*(2016) [arXiv:1609.00412] - with Yufang Huang and Pingbing Ming,
*A hybrid global-local numerical method for multiscale PDEs*(2016) [arXiv:1611.09935] - with Huajie Chen and Christoph Ortner,
*Thermodynamic limit of crystal defects with finite temperature tight binding*(2016) [arXiv:1607.06850] - with Konstantinos Spiliopoulos,
*Multiscale integrators for stochastic differential equations and irreversible Langevin samplers*(2016) [arXiv:1606.09539] - with Shibin Dai and Bo Li,
*Convergence of phase-field free energy and boundary force for molecular solvation*(2016) [arXiv:1606.04620] - with Zhennan Zhou,
*Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms*(2016) [arXiv:1602.06459] - with Zhennan Zhou,
*Bloch dynamics with second order Berry phase correction*(2015) [arXiv:1512.07357] - with Felix Otto,
*An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus*(2015) [arXiv:1508.07172] - with Ricardo Delgadillo and Xu Yang,
*Frozen Gaussian approximation for high frequency wave propagation in periodic media*(2015) [arXiv:1504.08051]