152 citations · 506 across the 51 of their papers we have counts for
Showing 2016 · math.NAShow all
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math.NA2016★ 6 cited
A Parameter Estimation Method Using Linear Response Statistics
John Harlim, Xiantao Li, He Zhang
This paper presents a new parameter estimation method for Itô diffusions such that the resulting model predicts the equilibrium statistics as well as the sensitivities of the under…
math.NA2016★ 12 cited
From Generalized Langevin Equations to Brownian Dynamics and Embedded Brownian Dynamics
Lina Ma, Xiantao Li, Chun Liu
We present the reduction of generalized Langevin equations to a coordinate-only stochastic model, which in its exact form, involves a forcing term with memory and a general Gaussia…
math.NA2016★ 43 cited
The Derivation and Approximation of Coarse-grained Dynamics from Langevin Dynamics
Lina Ma, Xiantao Li, Chun Liu
We present a derivation of a coarse-grained model from the Langevin dynamics. The focus is placed on the memory kernel function and the fluctuation-dissipation theorem. Also presen…