5 citations · 7 across the 8 of their papers we have counts for
9 papers
Stochastic Modified Equations for Stochastic Gradient Descent in Infinite-Dimensional Hilbert Spaces
Sandra Cerrai, Qin Li, Anjali Nair +1
Inverse problems in scientific computing often require optimization over infinite-dimensional Hilbert spaces. A commonly used solver in such settings is stochastic gradient descent…
Stability of the reconstruction of the heat reflection coefficient in the phonon transport equation
Peiyi Chen, Irene M. Gamba, Qin Li +1
The reflection coefficient is an important thermal property of materials, especially at the nanoscale, and determining this property requires solving an inverse problem based on ma…
Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
Ruhui Jin, Qin Li, Anjali Nair +1
Theoretical inverse problems are often studied in an ideal infinite-dimensional setting. The well-posedness theory provides a unique reconstruction of the parameter function, when…
Estimating the time-evolving refractivity of a turbulent medium using optical beam measurements: a data assimilation approach
Anjali Nair, Qin Li, Samuel N. Stechmann
In applications such as free-space optical communication, a signal is often recovered after propagation through a turbulent medium. In this setting, it is common to assume that lim…
Scintillation Minimization versus Intensity Maximization in Optimal Beams
Qin Li, Anjali Nair, Samuel N Stechmann
In free-space optical communications and other applications, it is desirable to design optical beams that have reduced or even minimal scintillation. However, the optimization prob…
Computation of optimal beams in weak turbulence
Qin Li, Anjali Nair, Samuel N Stechmann
When an optical beam propagates through a turbulent medium such as the atmosphere or ocean, the beam will become distorted. It is then natural to seek the best or optimal beam that…
Second-order diffusion limit for the phonon transport equation-asymptotics and numerics
Anjali Nair, Qin Li, Weiran Sun
We investigate the numerical implementation of the limiting equation for the phonon transport equation in the small Knudsen number regime. The main contribution is that we derive t…
Reconstructing the thermal phonon transmission coefficient at solid interfaces in the phonon transport equation
Irene M Gamba, Qin Li, Anjali Nair
The ab initio model for heat propagation is the phonon transport equation, a Boltzmann-like kinetic equation. When two materials are put side by side, the heat that propagates from…
Translation-Rotation Coupling in the Dynamics of Linear Molecules in Water
Anjali S Nair, Puja Banerjee, Sarmistha Sarkar +1
We study by computer simulations the coupled rotational and translational dynamics of three important linear diatomic molecules, namely, carbon monoxide (CO), nitric oxide (NO) and…