- Path-space variational inference for non-equilibrium coarse-grained systems
(V. Harmandaris, E. Kalligiannaki, M.A. Katsoulakis, P. Plechac)
J. Comp. Phys. 314 (2016) 355-383 (online)
PDF · arXiv 1508.00289 - Perturbation theory for weakly coupled two-dimensional layers
(G. Tritsaris, S. Shirodkar, E. Kaxiras, P. Cazeux, M. Luskin, P. Plechac, E. Cances)
J. Materials Res. (2016)
PDF - Stochastic Averaging and Sensitivity Analysis for Two Scale Reaction Networks
(A. Hashemi, M. Nunez, P. Plechac and D. G. Vlachos)
J. Chem. Phys. 144, (2016), 074104; (online)
PDF · arXiv 1509.03802 - Path-space information bounds for uncertainty quantification and sensitivity analysis of stochastic dynamics.
(P. Dupuis, M. A. Katsoulakis, Y. Pantazis, P. Plechac)
SIAM/ASA J. Uncertainty Quantification, 4 (2016), 80-111;
PDF · arXiv 1503.05136 - Computational error estimates for Born-Oppenheimer molecular dynamics with nearly crossing potential surfaces
(C. Bayer,H. Hoel, A. Kadir, P. Plechac, M. Sandberg, A. Szepessy)
Appl. Math. Research Express 2015, (2015), 329-417; (online)
PDF · arXiv 1305.3330 - The geometry of generalized force matching in coarse-graining and related information metrics
(V. Harmandaris, E. Kalligiannaki, M. A. Katsoulakis, P. Plechac)
J. Chem. Phys. 143, 084105 (2015); (online)
PDF · arXiv 1504.02152 - Parallelization, processor communication and error analysis in lattice kinetic Monte Carlo.
(G. Arampatzis, M. A. Katsoulakis, P. Plechac)
SIAM J. Numer. Analysis 52 (2014), No. 3, 1156–1182
PDF · arXiv 1208.1049 - Spatial multi-level interacting particle simulations and information theory-based error quantification.
(E. Kalligiannaki, M. A. Katsoulakis, P. Plechac)
SIAM J. Scientific Comp. 36(2014), No. 2, pp. A634–A667,
PDF · arXiv 1208.0730 - Coarse-graining schemes for stochastic lattice systems with short and long-range interactions
(with M. A. Katsoulakis, L. Rey-Bellet, D.K. Tsagkarogannis, P. Plechac)
Mathematics of Computations 83 (2014), 1757–1793
Arxiv 1003.1506 - Information-theoretic tools for parametrized coarse-graining of non-equilibrium extended systems
(M. A. Katsoulakis, P. Plechac)
J. Chem. Phys. 139 (2013), 074115 (online)
Arxiv 1304.7700 - Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms.
(G. Arampatzis, M. A. Katsoulakis, P. Plechac, M. Taufer, Lifan Xu)
J. Comp. Physics, 231 (2012), No 23, 7795-7841, DOI: 10.1016/j.jcp.2012.07.017 (online) - Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems.
(E. Kalligiannaki, M. A. Katsoulakis, P. Plechac, D. G. Vlachos),
J. Comp. Physics, 231 (2012), No 6, 2599-2620, DOI: 10.1016/j.jcp.2011.12.011 (online) - Coupled coarse-graining and Markov chain Monte Carlo for lattice systems.
(E. Kalligiannaki, M. A. Katsoulakis, P. Plechac)
in Numerical Analysis and Multiscale Computations, Ed. B. Enguist, O. Runborg, R. Tsai, Lecture Notes on Computational Science and Engineering (LNCSE), Springer, 2011 - Implicit Mass-Matrix Penalization of Hamiltonian dynamics with application to exact sampling of stiff systems.
(P. Plechac, M. Rousset)
SIAM Multiscale Modeling and Simulations 8, (2010), No 2, pp. 498-539, (SIAM reprint) (preprint) - Multi-body interactions in coarse-graining schemes for extended systems.
(S. Are, and M.A. Katsoulakis, P. Plechac, and L. Rey-Bellet)
SIAM J. Sci. Comp. 31 (2008), No 2, 987–1015, (preprint) - Numerical and statistical methods for the coarse-graining of many-particle stochastic systems
(M.A. Katsoulakis, P. Plechac, and L. Rey-Bellet)
J. Sci. Comp. 37, (2008), 43-71, (preprint) - Microscopic simulation of epidermal growth on corralled membrane surfaces
(A. M. Niehaus, D. Vlachos, J. S. Edwards, P. Plechac, and R. Tribe)
Biophysical Journal , 94 (2008), No 5, 1551–1564, doi:10.1529/biophysj.107.106484, (2007) (preprint) - Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity.
(M.A. Katsoulakis, P. Plechac, L. Rey-Bellet and D. Tsagkarogiannos)
J. Non-Newtonian Fluid Mech., 152 (2008), 101-112, (preprint) - Numerical studies of a coarse-grained approximation of dynamics of an atomic chain.
(P. Lin, P. Plechac)
Intl. J. Multiscale Comp. Eng. , 5, No 5, 351-367, (2007), (preprint) - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems
(M.A. Katsoulakis, P. Plechac, L. Rey-Bellet and D. Tsagkarogiannos)
ESAIM Math. Model. Numer. Anal., 47, 627-660, (2007), (preprint) - Error analysis of coarse-graining for stochastic lattice dynamics
(M.A. Katsoulakis P. Plechac, and A. Sopasakis)
SIAM J. Numer. Analysis , 44, pp.2270-2296, (2006) , (SIAM reprint) - Mesoscopic modeling for continuous spin lattice systems: Model problems and micromagnetics application.
(M.A. Katsoulakis, P. Plechac and D. Tsagkarogiannis)
J. Stat. Phys. ,119, No.1-2, 347-389, (2005) , (preprint) - Convergence for stabilisation of degenerately convex minimisation problems.
(S. Bartels, C. Carstensen, P. Plechac and A. Prohl)
Interfaces and Free Boundaries , 6, 253-269, (2004) , (preprint) - Singular and regular solutions of a non-linear parabolic system
(P. Plechac, V. Sverak)
Nonlinearity, 161, No.6, 2083-2097, (2003) , (reprint) - A visco-elasto-plastic model for phase transformations.
(P. Plechac, T. Roubicek)
Math. Methods in Appl. Sciences, 25, 1281-1298, (2002), - On self-similar singular solutions of the complex Ginzburg-Landau equation.
(P. Plechac, V. Sverak)
Comm. Pure and Appl. Math. , 54, 1215-1242, (2001), (preprint) - Numerical analysis of a relaxed variational model of hysteresis.
(C. Carstensen, P. Plechac)
RAIRO Modelisation Math. et Analyse Numer., 35, 865-878, (2001) , (preprint) - Numerical analysis of compatible phase transitions in elastic solids
(C. Carstensen, P. Plechac)
SIAM J. Numer. Analysis, 37,2061-2081, (2000), (preprint) - Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science
(S. Bartels, C. Carstensen, P. Plechac)
In: A. M. Saendig, W. Schiehlen, W.L. Wendland (eds.): “Multifield Problems. State of the Art.”, Springer-Verlag, Berlin, pp. 69-79, (2000). - PARASOL: integrated environment for solution of sparse linear systems
(P. Amestoy, I.S. Duff, J-Y LExcellent, P. Plechac)
In High Performance Computing, Kluwer New York (1999). - Vertex models on Feynman diagrams
(D.A. Johnston, P. Plechac)
Phys. Lett. A, 248, No 1, 37-48 (1998) - Equivalence of ferromagnetic spin models on trees and random graphs.
(D.A. Johnston, P. Plechac)
J. Phys. A, Math. Gen. , 31, No.2, 475-482 (1998) - Adaptive algorithms for scalar non-convex variational problems.
(C. Carstensen, P. Plechac)
Appl. Numer. Math. 26, No.1-2, 203-216 (1998) - On functional separately convex hulls.
(J. Matousek, P. Plechac)
Discrete Comput. Geom. 19, No.1, 105-130 (1998) - Numerical solution of the scalar double-well problem allowing microstructure.
(C. Carstensen, P. Plechac)
Math. Comput. 66, No.219, 997-1026 (1997) - Potts models on Feynman diagrams.
(D.A. Johnston, P. Plechac)
J. Phys. A, Math. Gen. 30, No.21, 7349-7363 (1997) - Symmetry breaking Hopf bifurcations in equations with O(2) symmetry with application to the Kuramoto-Sivashinsky equation.
(F. Amdjadi, P.J. Aston, P. Plechac)
J. Comput. Phys. 131, No.1, 181-192, (1997) - Local numerical analysis of Hopf bifurcation.
(V. Janovsky, P. Plechac)
SIAM J. Numer. Anal. 33, No.3, 1150-1168 (1996) - Spin glasses on thin graphs.
(C.F. Baillie, W. Janke, D.A. Johnston, P. Plechac)
Nucl. Phys. B 450, No. 3, 730-752 (1995) - Numerical analysis of subspace-breaking Takens-Bogdanov points.
(V. Janovsky, P. Plechac)
IMA J. Numer. Anal. 15, No.2, 265-290 (1995) - Numerical applications of equivariant reduction techniques.
(V. Janovsky, P. Plechac)
in Bifurcation and symmetry. ISNM 104, 203-213 (1992) - Computer-aided analysis of imperfect bifurcation diagrams. I: Simple bifurcation point and isola formation centre.
(V. Janovsky, P. Plechac)
SIAM J. Numer. Anal. 29, No.2, 498-512 (1992) - Asymptotic analysis of perturbed Takens-Bogdanov points.
(V. Janovsky, P. Plechac)
J. Comput. Appl. Math. 36, No.3, 349-359 (1991)
