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Archive of Published Papers
- Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms.
(with G. Arampatzis, M. A. Katsoulakis, M. Taufer, Lifan Xu)
J. Comp. Physics, 231 (2012), No 23, 7795-7841, DOI: 10.1016/j.jcp.2012.07.017
available in electronic form - Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems.
(with E. Kalligiannaki, M. A. Katsoulakis, D. G. Vlachos),
J. Comp. Physics, 231 (2012), No 6, 2599-2620, DOI: 10.1016/j.jcp.2011.12.011
available in electronic form - Coupled coarse-graining and Markov chain Monte Carlo for lattice systems.
(with E. Kalligiannaki, M. A. Katsoulakis), 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.
SIAM Multiscale Modeling and Simulations 8, (2010), No 2, pp. 498-539 (with M. Rousset), (SIAM reprint) (preprint) - Multi-body interactions in coarse-graining schemes for extended systems.
SIAM J. Sci. Comp. 31 (2008), No 2, 987--1015, (with S. Are, and M.A. Katsoulakis, and L. Rey-Bellet), (preprint) - Numerical and statistical methods for the coarse-graining of many-particle stochastic systems
J. Sci. Comp. 37, (2008), 43-71 (with M.A. Katsoulakis, and L. Rey-Bellet), (preprint) - Microscopic simulation of epidermal growth on corralled membrane surfaces
Biophysical Journal , 94 (2008), No 5, 1551--1564, doi:10.1529/biophysj.107.106484, (2007) (A. M. Niehaus, D. Vlachos, J. S. Edwards, and R. Tribe), (preprint) - Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity.
J. Non-Newtonian Fluid Mech., 152 (2008), 101-112 (with M.A. Katsoulakis, L. Rey-Bellet and D. Tsagkarogiannos), (preprint) - Numerical studies of a coarse-grained approximation of dynamics of an atomic chain.
Intl. J. Multiscale Comp. Eng. , 5, No 5, 351-367, (2007) (with P. Lin), (preprint) - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems
ESAIM Math. Meth. Anal. Numer., 47, 627-660, (2007) (with M.A. Katsoulakis, L. Rey-Bellet and D. Tsagkarogiannos), (preprint) - Error analysis of coarse-graining for stochastic lattice dynamics
SIAM J. Numer. Analysis , 44, pp.2270-2296, (2006) (with M.A. Katsoulakis and A. Sopasakis), (SIAM reprint) - Mesoscopic modeling for continuous spin lattice systems: Model problems and micromagnetics application.
J. Stat. Phys. ,119, No.1-2, 347-389, (2005) (with M.A. Katsoulakis and D. Tsagkarogiannis), (preprint) - Convergence for stabilisation of degenerately convex minimisation problems.
Interfaces and Free Boundaries , 6, 253-269, (2004) (with S. Bartels, C. Carstensen and A. Prohl), (preprint) - Singular and regular solutions of a non-linear parabolic system
Nonlinearity, 161, No.6, 2083-2097, (2003) (with V. Sverak), (reprint) - A visco-elasto-plastic model for phase transformations.
Math. Methods in Appl. Sciences, 25, 1281-1298, (2002), (with T. Roubicek) - On self-similar singular solutions of the complex Ginzburg-Landau equation.
Comm. Pure and Appl. Math. , 54, 1215-1242, (2001), (with V. Sverak), (preprint) - Numerical analysis of a relaxed variational model of hysteresis.
RAIRO Modelisation Math. et Analyse Numer., 35, 865-878, (2001) (with C. Carstensen), (preprint) - Numerical analysis of compatible phase transitions in elastic solids
SIAM J. Numer. Analysis, 37,2061-2081, (2000), (with C. Carstensen), (preprint) - Finite element computation of macroscopic quantities in nonconvex minimisation problems and applications in materials science
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
In High Performance Computing, Kluwer New York (1999). (with P. Amestoy, I.S. Duff, J-Y L'Excellent) - Vertex models on Feynman diagrams
Phys. Lett. A, 248, No 1, 37-48 (1998), (with D.A. Johnston) - Equivalence of ferromagnetic spin models on trees and random graphs.
J. Phys. A, Math. Gen. , 31, No.2, 475-482 (1998), (with D.A. Johnston) - Adaptive algorithms for scalar non-convex variational problems.
Appl. Numer. Math. 26, No.1-2, 203-216 (1998), (with C. Carstensen) - On functional separately convex hulls.
Discrete Comput. Geom. 19, No.1, 105-130 (1998), (with J. Matousek) - Numerical solution of the scalar double-well problem allowing microstructure.
Math. Comput. 66, No.219, 997-1026 (1997), (with C. Carstensen) - Potts models on Feynman diagrams.
J. Phys. A, Math. Gen. 30, No.21, 7349-7363 (1997), (with D.A. Johnston) - Symmetry breaking Hopf bifurcations in equations with O(2) symmetry with application to the Kuramoto-Sivashinsky equation.
J. Comput. Phys. 131, No.1, 181-192, (1997), (with F. Amdjadi, P.J. Aston) - Local numerical analysis of Hopf bifurcation.
SIAM J. Numer. Anal. 33, No.3, 1150-1168 (1996), (with V. Janovsky) - Spin glasses on thin graphs.
Nucl. Phys. B 450, No. 3, 730-752 (1995), (with C.F. Baillie, W. Janke, D.A. Johnston) - Numerical analysis of subspace-breaking Takens-Bogdanov points.
IMA J. Numer. Anal. 15, No.2, 265-290 (1995), (with V. Janovsky) - Numerical applications of equivariant reduction techniques.
in Bifurcation and symmetry. ISNM 104, 203-213 (1992), (with V. Janovsky) - Computer-aided analysis of imperfect bifurcation diagrams. I: Simple bifurcation point and isola formation centre.
SIAM J. Numer. Anal. 29, No.2, 498-512 (1992), (with V. Janovsky) - Asymptotic analysis of perturbed Takens-Bogdanov points.
J. Comput. Appl. Math. 36, No.3, 349-359 (1991), (with V. Janovsky)
(with S. Bartels, C. Carstensen)