112 citations · 445 across the 26 of their papers we have counts for
4 papers · 1 filter
Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics
M. H. Duong, A. Lamacz, M. A. Peletier +2
In molecular dynamics and sampling of high dimensional Gibbs measures coarse-graining is an important technique to reduce the dimensionality of the problem. We will study and quant…
A non-local problem for the Fokker-Planck equation related to the Becker-Döring model
Joseph G. Conlon, André Schlichting
This paper concerns a Fokker-Planck equation on the positive real line modeling nucleation and growth of clusters. The main feature of the equation is the dependence of the driving…
Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities
André Schlichting, Martin Slowik
We investigate the metastable behavior of reversible Markov chains on possibly countable infinite state spaces. Based on a new definition of metastable Markov processes, we compute…
Analysis of the implicit upwind finite volume scheme with rough coefficients
André Schlichting, Christian Seis
We study the implicit upwind finite volume scheme for numerically approximating the linear continuity equation in the low regularity DiPerna-Lions setting. That is, we are concerne…