### Preprints

- Ling Li, Haizhao Yang, Katherine, R. Phillips, Jinjin Zhong, Jianfeng Lu, and Joanna Aizenberg,
*Microscopic origins of the crystallographically preferred growth in evaporation-induced colloidal crystals*(2017), submitted - with Yingzhou Li,
*Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods*(2017) [arXiv:1710.00966] - with Zhennan Zhou,
*Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping*(2017) [arXiv:1709.06424] - with Stefan Steinerberger,
*Detecting localized eigenstates of linear operators*(2017) [arXiv:1709.03364] - with Zhenning Cai,
*A quantum kinetic Monte Carlo method for quantum many-body spin dynamics*(2017) [arXiv:1709.00386] - with Yuehaw Khoo and Lexing Ying,
*Solving parametric PDE problems with artificial neural networks*(2017) [arXiv:1707.03351] - with Di Fang,
*A diabatic surface hopping algorithm based on time dependent perturbation theory and semiclassical analysis*(2017) [arXiv:1707.00765] - with David Dunson and Akihiko Nishimura,
*Discontinuous Hamiltonian Monte Carlo for sampling discrete parameters*(2017) [arXiv:1705.08510] - with Yu Cao,
*Lindblad equation and its semiclassical limit of the Anderson-Holstein model*(2017) [arXiv:1704.03838] - 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 Xiaoou Li, Jingchen Liu and Xiang Zhou,
*Moderate deviation for random elliptic PDE with small noise*(2016) [arXiv:1703.05285] - 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 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]