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20152022
most citedParametric Reduced Models for the Nonlinear Schrödinger Equation

14 citations · 42 across the 12 of their papers we have counts for

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6 papers · 1 filter

physics.comp-ph20211 cited

A Projection-based Reduced-order Method for Electron Transport Problems with Long-range Interactions

Weiqi Chu, Xiantao Li

Long-range interactions play a central role in electron transport. At the same time, they present a challenge for direct computer simulations, since sufficiently large portions of…

physics.comp-ph20203 cited

Random Batch Algorithms for Quantum Monte Carlo simulations

Shi Jin, Xiantao Li

Random batch algorithms are constructed for quantum Monte Carlo simulations. The main objective is to alleviate the computational cost associated with the calculations of two-body…

physics.comp-ph2020

Markovian Embedding Procedures for Non-Markovian Stochastic Schrödinger Equations

Xiantao Li

We present embedding procedures for the non-Markovian stochastic Schrödinger equations, arising from studies of quantum systems coupled with bath environments. By introducing auxil…

physics.comp-ph2019

Data-driven molecular modeling with the generalized Langevin equation

Francesca Grogan, Huan Lei, Xiantao Li +1

The complexity of molecular dynamics simulations necessitates dimension reduction and coarse-graining techniques to enable tractable computation. The generalized Langevin equation…

physics.comp-ph201913 cited

Exponential Integrators for Stochastic Schrödinger Equation

Jingze Li, Xiantao Li

We present a class of exponential integrators to compute solutions of the stochastic Schrödinger equation arising from the modeling of open quantum systems. In order to be able to…

physics.comp-ph2017

Stable absorbing boundary conditions for molecular dynamics in general domains

Xiaojie Wu, Xiantao Li

A new type of absorbing boundary conditions for molecular dynamics simulations are presented. The exact boundary conditions for crystalline solids with harmonic approximation are e…