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Petr Plechac

309 Ewing Hall
University of Delaware
Newark, Delaware 19716

Telephone: 302-831-0637
Fax: 302-831-4511

email:  plechac at math dot udel dot edu

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Preprints

2013
13-1: Information-theoretic tools for parametrized coarse-graining of non-equilibrium extended systems · Abstract · PDF · Arxiv 1304.7700

2012
12-2:Parallelization, processor communication and error analysis in lattice kinetic Monte Carlo · Abstract · PDF · Arxiv 1208.1049

12-1: Spatial multi-level interacting particle simulations and information theory-based error quantification · Abstract · PDF · Arxiv 1208.0730

2011
11-3: Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems · Abstract · PDF · Arxiv 1109.0459

11-2: Fractional-step kinetic Monte Carlo algorithms and hierarchical parallelization · Abstract · PDF · Arxiv 1105.4673

11-1: How accurate is molecular dynamics? · Abstract · PDF · Arxiv 1104.0953

2010
10-3: Best-fit quasi-equilibrium ensembles: a general approach to statistical closure of underresolved Hamiltonian dynamics II ·Abstract · PDF

10-2: Coupled coarse graining and Markov Chain Monte Carlo for lattice systems ·Abstract · PDF

10-1: Coarse-graining schemes for stochastic lattice systems with short and long-range interactions·Abstract · PDF


2009
09-3: Multi-level coarse graining methods for sampling stochastic particle systems·Abstract · PDF

09-2: Hierarchical pattern discovery in stochastic lattice systems·Abstract · PDF

09-1: Implicit Mass-Matrix Penalization of Hamiltonian dynamics with application to exact sampling of stiff systems·Abstract · PDF


2008
08-1: Multi-body interactions in coarse-graining schemes for extended systems ·Abstract · PDF

08-2: Exact and non-stiff sampling of highly oscillatory systems: an implicit mass-matrix penalization approach ·Abstract · PDF


2007
07-1: Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity·Abstract · PDF

07-2: Numerical studies of a coarse-grained approximation of dynamics of an atomic chain·Abstract · PDF

07-3: Microscopic simulation of epidermal growth on corralled membrane surfaces·Abstract · PDF

07-4: Numerical and statistical methods for the coarse-graining of many-particle stochastic systems. (review)·Abstract · PDF

07-5: Best-fit quasi-equilibrium ensembles: a general approach to statistical closure of underresolved Hamiltonian dynamics. ·Abstract · PDF


2006
06-1: Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems ·Abstract · PDF


2005
05-1: Mathematical tools for error analysis of coarse-graining of lattice systems. ·Abstract · PDF

Some older (1997-2004) preprints available in PostScript/PDF format can be downloaded here