48 citations · 413 across the 59 of their papers we have counts for
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Parallelization, processor communication and error analysis in lattice kinetic Monte Carlo
Giorgos Arampatzis, Markos A. Katsoulakis, Petr Plechac
In this paper we study from a numerical analysis perspective the Fractional Step Kinetic Monte Carlo (FS-KMC) algorithms proposed in [1] for the parallel simulation of spatially di…
Spatial multi-level interacting particle simulations and information theory-based error quantification
Evangelia Kalligiannaki, Markos A. Katsoulakis, Petr Plechac
We propose a hierarchy of multi-level kinetic Monte Carlo methods for sampling high-dimensional, stochastic lattice particle dynamics with complex interactions. The method is based…
Measuring the Irreversibility of Numerical Schemes for Reversible Stochastic Differential Equations
Markos Katsoulakis, Yannis Pantazis, Luc Rey-Bellet
For a Markov process the detailed balance condition is equivalent to the time-reversibility of the process. For stochastic differential equations (SDE's) time discretization numeri…