64 citations · 305 across the 72 of their papers we have counts for
5 papers · 1 filter
Recent results in the systematic derivation and convergence of SPH
Iason Zisis, Joep H. M. Evers, Bas van der Linden +1
This paper presents the derivation of SPH from principles of continuum mechanics via a measure-based formu- lation. Additionally, it discusses a theoretical convergence result, the…
Brownian Motion in an N-scale periodic Potential
A. B. Duncan, G. A. Pavliotis
We study the problem of Brownian motion in a multiscale potential. The potential is assumed to have N+1 scales (i.e. N small scales and one macroscale) and to depend periodically o…
Discrete and continuum links to a nonlinear coupled transport problem of interacting populations
Manh Hong Duong, Adrian Muntean, Omar Richardson
We are interested in exploring interacting particle systems that can be seen as microscopic models for a particular structure of coupled transport flux arising when different popul…
On assessing the accuracy of defect free energy computations
Matthew Dobson, Manh Hong Duong, Christoph Ortner
We develop a rigorous error analysis for coarse-graining of defect-formation free energy. For a one-dimensional constrained atomistic system, we establish the thermodynamic limit o…
Analysis of the mean squared derivative cost function
Manh Hong Duong, Minh Hoang Tran
In this paper, we investigate the mean squared derivative cost functions that arise in various applications such as in motor control, biometrics and optimal transport theory. We pr…