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Error Analysis of Coarse-Graining for Stochastic Lattice - JStor
COARSE-GRAINED STOCHASTIC LATTICE DYNAMICS 2271 ... In analogy to the numerical analysis for PDEs, an error analysis was carrie between the exact ...
40232895

Error Analysis of Coarse‐Graining for Stochastic Lattice - SIAM
COARSE-GRAINED STOCHASTIC LATTICE DYNAMICS. 2271 ... In analogy to the numerical analysis for PDEs, an error analysis was carried out between the ...
050637339

Coarse-graining schemes for stochastic lattice systems with short
Mar 25, 2014 ... Coarse-graining, lattice spin systems, Monte Carlo method, Gibbs ..... will be established for a wide range of parameters in the error analysis of.
kprt3.pdf

NUMERICAL AND STATISTICAL METHODS FOR THE COARSE
emphasize the numerical analysis of the schemes, focusing on error quantification as ... coarse-graining schemes for stochastic, many-body microscopic systems, ... we primarily discuss two classes of models: (i) Stochastic lattice systems with ...
07-4.pdf

Coarse-graining schemes and a posteriori error estimates for
ESAIM: Mathematical Modelling and Numerical Analysis ... In this paper we focus on stochastic lattice systems of interacting particles at equilib- ... Coarse-graining, a posteriori error estimate, relative entropy, lattice spin systems, Monte Carlo ...
m2an0652.pdf

Information Loss in Coarse-Graining of Stochastic Particle Dynamics
Recently a new class of approximating coarse-grained stochastic processes and .... “Error control and analysis in coarse-graining of stochastic lattice dynamics”, ...
552d873b0cf2e089a3ad7854.pdf

Spatial multi-level interacting particle simulations and information
Aug 3, 2012 ... dimensional, stochastic lattice particle dynamics with complex interactions. ... Specifically, we provide error analysis for the approximation of long-time ... Key words. kinetic Monte Carlo, coarse graining, multiple scales, phase ...
1208.0730

Markos A. Katsoulakis , Petr Plechác , Luc Rey-Bellet and Dimitrios
In this paper we focus on stochastic lattice systems of interacting particles at equilib- ... Coarse-graining, a posteriori error estimate, relative entropy, lattice spin .... The error analysis developed in this paper also provides an error expansion that ...
article_S0764583X07000325

Coarse-Graining Methods in Nonequilibrium Systems - University of
Examples: Lattice Kinetic Monte Carlo, Langevin Dynamics. ▻ Developed ... Coarse-Graining–Error Quantification and Parameterization using RE: ... Same analysis can be carried out for SDE, spatial KMC, processes ... Stochastic lattice.
katsoulakis-lecture4.pdf

Intermittency, metastability and coarse graining for coupled
Apr 10, 2006 ... ... graining for coupled deterministic–stochastic lattice systems ... by detailed time series analysis that includes comparisons of power spectra ...... m,q, lies within a controlled error from the exact coarse-grained measure [11].
Nonlinearity 2006 Katsoulakis Majda Sopasakis.pdf

Numerical Studies of a Coarse-grained Approximation for Dynamics
We provide numerical justification on how well the coarse-grained solution is ... or the molecular dynamics) provides a powerful and accurate tool for the analysis of ..... schemes and a posteriori error estimates for stochastic lattice systems.
qcdynv3.pdf

3) Publications, h-index=i10-index=9, total citations 219 (Google
[6] M.A.Katsoulakis, P.Plechac and A. Sopasakis, Error analysis of coarse- graining for stochastic lattice dynamics, SIAM J. on Numerical Analysis, 44, pp.
publications.pdf

PDF (366 kB) - Max Planck Institute for Mathematics in the Sciences
posteriori error estimates for the coarse-grained approximations that can be ... We restrict ourselves to stochastic (Ising-type) lattice systems as a paradigm of ... more on the computational schemes and related numerical analysis questions.
preprint2008_39.pdf

PDF (267 kB) - Max Planck Institute for Mathematics in the Sciences
SCHEMES FOR COARSE-GRAINED STOCHASTIC LATTICE SYSTEMS .... of microscopic reconstruction arose also in the mathematical analysis of the error.
preprint2008_38.pdf

Reconstruction schemes for coarse-grained stochastic lattice - Hal
Feb 3, 2011 ... struction schemes for coarse-grained stochastic lattice systems. .... reconstruction arose also in the mathematical analysis of the error resulting ...
reconstruction_revised.pdf

Information-theoretic tools for parametrized coarse-graining of non
Jul 30, 2013 ... mation in coarse-graining2,20,24, and sensitivity analysis for climate modeling ... application of relative entropy methods to the error anal- ysis of coarse-graining of stochastic particle systems have been introduced and studied ... to reaction networks, lattice Kinetic Monte Carlo and. Langevin dynamics33.
f401d3836e5ea9595efb5576afaeba0e3542.pdf

ACMAC's PrePrint Repository
In Section 4 we describe stochastic lattice systems and the coarse-graining ..... analysis perspective, where error is assessed in view of a specified tolerance.
acmac-0216.pdf

Parallel kinetic Monte Carlo simulations - Computer Science and
Coarse-grained MC methods. • GPU/multicore ... Rigorous error analysis and convergence of parallel ap- .... of coarse-graining for stochastic lattice dynamics.
Plechac_poster.pdf

MULTISCALE COUPLINGS IN PROTOTYPE - Semantic Scholar
coarse-graining of the microscopic stochastic lattice dynamics that yield ... long- time simulations and asymptotic analysis in a linearized stochastic PDE limit ..... there is a small but systematic error which is evident in our solution in Figure 4.1  ...
b783ff72224acc48b62d43ed5fca570c9954.pdf

Markos Katsoulakis
Lattice Dynamics and Kinetic Monte Carlo (KMC). Dynamics ... Information metrics for UQ and sensitivity analysis of stochastic models ... Loss of Information in Coarse-Graining, CG error, model fidelity : K., Vlachos J. Chem. Phys. (2003) ...
katsoulakispdf

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