English


Δημοσιεύσεις

2015
  • 1: Antonopoulou D. C., Kamvissis S., On the Dirichlet to Neumann Problem for the 1- dimensional Cubic NLS Equation on the Half-Line, Nonlinearity 28 (2015) 3073-3099.   Αντίγραφο του Άρθρου
  • 2: Antonopoulou, D., Karali, G., Plexousakis M., Zouraris G., (2015) Crank-Nicolson finite element discretizations for a 2d linear Schrodinger-type equation posed in a noncylindrical domain, Mathematics of Computation, 84, no 294, 1571-1598.   Αντίγραφο του Άρθρου
  • 3: Borcea L., Garnier J. and Tsogka C., A quantitative study of source imaging in random waveguides, Commun. Math. Sci., Vol. 13, No. 3, pp. 749--776, 2015.   Αντίγραφο του Άρθρου
  • 4: Borcea, L. E. Karasmani and C. Tsogka, Underwater source detection and localization with incoherent data, Proceedings of the 3rd Underwater Acoustic Conference and Exhibition ,Chania, Greece, June 21-26, 2015.   Αντίγραφο του Άρθρου
  • 5: Garnier J. and Papanicolaou G. and Semin A. and Tsogka C., Signal to Noise Ratio Analysis in Virtual Source Array Imaging, SIAM Journal on Imaging Science, Vol. 8, No. 1, pp. 248--279, 2015.   Αντίγραφο του Άρθρου
  • 6: Kalligiannaki E., Harmandaris V., Katsoulakis M., P. Plechac The geometry of generalized force matching and related information metrics in coarse-graining of molecular systems, J. Chem. Phys., 2015, 143, 084105.   Σύνδεσμος στο Άρθρο
  • 7: Karali G., Sourdis C., (2015) The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit, Archive for Rational Mechanics and Analysis, 217, no 2, 439-523.   Αντίγραφο του Άρθρου
  • 8: Karavelas Menelaos I. and Tzanaki Eleni . A geometric approach for the upper bound theorem for Minkowski sums of convex polytopes. In Proceedings of the 31st International Symposium on Computational Geometry (SoCG 2015), pages 81–95, Eindhoven, The Netherlands, June 22–25, 2015, http://drops.dagstuhl.de/opus/volltexte/2015/5142/   Σύνδεσμος στο Άρθρο
  • 9: Karavelas, Menelaos I., Konaxis, Christos and Tzanaki, Eleni 2015, The maximum number of faces of the Minkowski sum of three convex polytopes. Journal of Computational Geometry, 6(1):21–74, 2015.   Σύνδεσμος στο Άρθρο
  • 10: Katsaounis Th., Kyza I., 2015, Aposteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation, Numerische Mathematik, vol. 129, no.1, pp.55-90, 2015   Αντίγραφο του Άρθρου
  • 11: Miroshnikov A., Tzavaras, Th., 2015 On the construction and properties of weak solutions describing dynamic cavitation, J. Elasticity 118 (2015), 141-185. 
   Αντίγραφο του Άρθρου
  • 12: Rissanou A., Harmandaris V., Structural and Dynamical Properties of Polystyrene Thin Films, Macromolecules, 2015, 48, 2761–2772.
  • 13: Rissanou A., Power A., Harmandaris V., Properties of Polyethylene/Graphene Nanocomposites through Molecular Dynamics Simulations, Polymers, 2015, 7, 390-417; doi:10.3390/polym7030390.   Αντίγραφο του Άρθρου
  • 14: Tsourtis A., Pantazis Y., Katsoulakis M., Harmandaris V., Parametric Sensitivity Analysis for Stochastic Molecular Systems using Information Theoretic Metric”, J. Chem. Phys., 2015, 143, 014116.   Αντίγραφο του Άρθρου
2014
  • 1: Antonopoulou, D., Karali, G., Nagase, Y., 2014, A Hilbert expansion method for the rigoroussharp interface limit of the generalized Cahn-Hilliard equation, Interfaces and Free Boundaries, 16, 65-104.  Αντίγραφο του Άρθρου
  • 2: Doxastakis M., Harmandaris V., 2014, Dynamic Heterogeneity in Fully Miscible Polymer Blends through Molecular Simulations, Proceedings, 10th Hellenic Polymer Society Conference, Patras, Greece, December 04-06, 2014..  Αντίγραφο του Άρθρου
  • 3: Giesselmann J. and Tzavaras A.E., Singular limiting induced from continuum solutions and theproblem of dynamic cavitation. Arch. Rational Mech. Anal. 212 (2014), 241-281..  Αντίγραφο του Άρθρου
  • 4: Giesselmann, Jan, Makridakis, Ch. and Pryer Tristan, 2014, A Posteriori Analysis ofDiscontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws, SIAM J. Numer. Anal., 53(3), 1280–1303, DOI:10.1137/140970999.  Αντίγραφο του Άρθρου
  • 5: Harmandaris V., 2014, Hierarchical Multi-scale Modeling of Polymer Nanocomposites”, Department of Mathematics and Statistics, University of Cyprus, Cyprus, December 19, 2014..  Αντίγραφο του Άρθρου
  • 6: Harmandaris V., K. Johnston, 2014, Hierarchical Modeling of Polymer/Solid Interfaces: From Ab-initio Calculations to Atomistic up to Coarse-grained Simulations, Proceedings, American Physical Society, APS March Meeting, Denver, Colorado, USA, March 03-07, 2014..  Αντίγραφο του Άρθρου
  • 7: Harmandaris, V. Quantitative study of equilibrium and non-equilibrium polymer dynamics through systematic hierarchical coarse-graining simulations, Korea-Aust. Rheol. J., 2014, 26,15-28..  Αντίγραφο του Άρθρου
  • 8: Karali, G., Nagase, Y., 2014, On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation, Discrete Contin. Dyn. Syst.- Ser. S, 7, no 1, 127-137.  Αντίγραφο του Άρθρου
  • 9: Katsaounis, Th., Christakis, N. , Kossioris G., and Plexousakis M., 2014, On of the Performance of the WRF Numerical Model over Complex Terrain on a High Performance Computing Cluster, HPCC 2014, The 16th IEEE International Conference on High Performance Computing and Communications, Paris, France 2014.  Αντίγραφο του Άρθρου
  • 10: Katsaounis, Th., Kyza, I. A posteriori error control & adaptivity for Crank-Nicolson finiteelement approximations for linear Schrödinger equations, Numer. Math., Published online: 9 May 2014 (DOI: 10.1007/s00211-014-0634-0)..  Αντίγραφο του Άρθρου
  • 11: Makridakis, Ch, Mitsoudis, D., Rosakis, Ph.(2014), On Atomistic-to-Continuum Couplings without Ghost Forces in Three Dimensions, Applied Mathematics Research eXpress, Vol. 2014, No. 1, pp. 87–113, doi: 10.1093/amrx/abt005.  Αντίγραφο του Άρθρου
  • 12: Miroshnikov A. and Tzavaras, A.E., 2014, Convergence of variational approximation schemes for three dimensional elastodynamics with polyconvex energy. J. Anal. Appl. (ZAA) 33 (2014), 43-64..  Αντίγραφο του Άρθρου
  • 13: Petrakis V.S., Rissanou A.N., Harmandaris V., Chrisopoulou K., Anastasiadis S., 2014, Atomistic molecular dynamics simulation study of a hybrid poly (ethylene oxide) / silica nanoparticle system, Proceedings, 10th Hellenic Polymer Society Conference, Patras, Greece, December 04-06, 2014..  Αντίγραφο του Άρθρου
  • 14: Power A., Harmandaris V., 2014, Properties of polymer/gold nanocomposites through atomistic molecular dynamics simulations, Proceedings, 10th Hellenic Polymer Society Conference, Patras, Greece, December 04-06, 2014..  Αντίγραφο του Άρθρου
  • 15: Rissanou A., Harmandaris V., 2014, A Molecular Dynamics Study of Graphene based PolymerNanocomposites, Proceedings, 16th European Conference on Composite Materials, ECCM, Seville, Spain, June 21-27, 2014..  Αντίγραφο του Άρθρου
  • 16: Rissanou, A., Harmandaris, V. “Dynamics of various polymer/graphene interfacial systems through atomistic molecular dynamics simulations”, Soft Matter, 2014, 10, 2876-2888..  Αντίγραφο του Άρθρου
2012
  • 1: Antonopoulou D., Bloemker D. and Karali G, (2012), Front motion in the one-dimensional stochastic Cahn-Hilliard equation, SIAM J. Math. Anal. 44, 3242-3280.
  • 2: Antonopoulou D., Karali G., and Yip A.N.K., (2012), On the parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force, J. Differential Equations, 252, pp. 4679-4718.
  • 3: Arampatzis G., Katsoulakis M., Plechac P. et al., Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms, in Journal of Computational Physics, Volume: 231   Issue: 23   Pages: 7795-7814   DOI: 10.1016/j.jcp.2012.07.017 Published: OCT 1 2012.
  • 4: Bänsch E., F. Karakatsani, and Ch. Makridakis, (2012), A Posteriori Error Control for Fully Discrete Crank--Nicolson Schemes SIAM J. Numer. Anal. 50-6 (2012), pp. 2845-2872.
  • 5: Chen G.-Q. G. and A.E. Tzavaras, (2012), Remarks on the contributions of Constantine M. Dafermos to the subject of Conservation Laws. {\it Acta Math. Scientia} {\bf 32B} (2012), 3-14..
  • 6: Demoulini S., D.M.A. Stuart and A.E. Tzavaras, (2012) Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics. {\it Arch. Rational Mech. Anal.} {\bf 205} (2012), 927-961.
  • 7: Dutykh D., Katsaounis Th. and. Mitsotakis D, Finite volume methods for unidirectional dispersive wave models, Int. J. Numer. Meth. Fluids 2013; 71:717–736. Published online 21 May 2012 in Wiley Online Library (wileyonlinelibrary.com/journal/nmf). DOI: 10.1002/fld.3681.
  • 8: Kalligiannaki E., Katsoulakis M., Plechac P., et al, Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems . In Journal of Computational Physics, Volume: 231   Issue: 6   Pages: 2599-2620   DOI: 10.1016/j.jcp.2011.12.011   Published: MAR 20 2012 .
  • 9: Karali G., C. Sourdis, (2012) Resonance phenomena in a singular perturbation problem in the case of exchange of stabilities, Communications in PDE, 37, pp. 1620-1667..
  • 10: Karali G., C. Sourdis, (2012), Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities, Ann. Inst. H. Poincare Anal. Non Lineaire, 29, pp. 131-170..
  • 11: Karavelas M I., Konaxis C., and Tzanaki E., The maximum number of faces of the Minkowski sum of three convex polytopes, November 2012. arXiv:1211.6089 [cs.CG].
  • 12: Karavelas M. I., Solving problems with CGAL: an example using the 2D Apollonius graph package, Book of Abstracts of the Minisymposium on Publicly Available Geometric/Topological Software, pages 33-38, Chapel Hill, NC, United States, June 17 & 19, 2012..
  • 13: Katsaounis Th., Ch. Simeoni, (2012), Three-points interfacial quadrature for geometrical source terms on nonuniform grids , Calcolo, vol. 49, no.3, pp.149-176.
  • 14: Kossioris G. and Ch. Zohios, The Value Function of the Shallow Lake Problem as a Viscosity Solution of a HJB Equation. Quart. Appl. Math., 70 (2012), 625-657. .
  • 15: Kossioris G., Ch. Zohios and I. Papaharilaou, Geometrical methods for level set based abdominal aortic aneurysm lumen, thrombus and outer wall 2D image segmentation. Computer Methods and Programs In Biomedicine, 107(2):202-17 (2012)..
  • 16: Makridakis Ch and E Süli (2013) Finite element analysis of Cauchy-Born approximations to atomistic models. Archive for Rational Mechanics and Analysis. Volume 207, Issue 3, pp. 813-843.
  • 17: Miroshnikov and A. Tzavaras, (2012) A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of jacobians {\it Comm. Math. Sciences} {\bf 10} (2012), 87-115..
  • 18: Mitsoudis D.A., Ch. Makridakis, M. Plexousakis, (2012), Helmholtz equation with artificial boundary conditions in a two-dimensional waveguide, SIAM Journal on Mathematical Analysis, 44 (2012), pp. 4320-4344.
  • 19: Toulopoulos I., Ch. Makridakis, (2012) A discontinuous Galerkin scheme for the numerical solution of flow problems with discontinuities. Internat. J. Numer. Methods Fluids 68, no. 5, pp. 582--604..
2011
  • 1: Abukhdeir Nasser Mohieddin, Vlachos Dionisios G., Katsoulakis Markos, and Plexousakis Michael (2011). Long-time integration methods for mesoscopic models of pattern-forming systems. J. Comp. Phys., 230(14):5704–5715, 2011..
  • 2: Alonzo R., L. Borcea, G. Papanicolaou and C. Tsogka, (2011). Detection and imaging in strongly backscattering randomly layered media, Inverse Problems, Vol. 27, p. 025004 (43pp), .
  • 3: Antonopoulou D., Karali G., (2011) Existence of solution for a generalized Stochastic Cahn-Hilliard Equation on convex domains, Discrete Contin. Dyn. Syst.- Ser. B, 16 no 1, pp. 31-55..
  • 4: Antonopoulou D., Karali G., and Kossioris G. (2011) Asymptotics for a generalized Cahn-Hilliard equation with forcing terms, Discrete Contin. Dyn. Syst.- Ser. A, 30, no 4, pp. 1037 – 1054.
  • 5: Borcea L., G. Papanicolaou and C. Tsogka, (2011), Adaptive time-frequency detection and filtering for imaging in heavy clutter, SIAM Imaging Science, 4(3), pp. 827-849..
  • 6: Borcea L., J. Garnier, G. Papanicolaou and C. Tsogka, (2011), Enhanced statistical stability in coherent interferometric imaging, Inverse Problems, 27 (8), p. 085003.
  • 7: Borcea L., J. Garnier, G. Papanicolaou and C. Tsogka, (2011). Coherent interferometric imaging, time gating and beamforming, Inverse Problems, Vol. 27, p. 065008 (17pp) .
  • 8: Fritz D., K. Koschke, V.A. Harmandaris, N. van der Vegt and K. Kremer, (2011) Multiscale modeling of soft matter: scaling of dynamics, Phys. Chem. Chem. Phys., ASAP, Doi: 10.1039/c1cp20247b..
  • 9: Harmandaris V.A., G. Floudas, K. Kremer, (2011), Temperature and pressure dependence of polystyrene dynamics through molecular dynamics simulations and experiments, Macromolecules, 44, pp. 393-402..
  • 10: Kalligiannaki Evangelia, Markos Katsoulakis  and Petr Plechac (2011), Coupled coarse graining and Markov Chain Monte Carlo for lattice systems,  in Numerical Analysis and Multiscale Computations, Ed. B. Enguist, O. Runborg, R. Tsai, Lecture Notes on Computational Science and Engineering (LNCSE), Springer..
  • 11: Kalligiannaki Evangelia, Markos Katsoulakis, Petr Plechac and Dionisios G. Vlachos (2011), Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems, J. Comp. Phys., 231, pp. 2599-2620..
  • 12: Kamarianakis M N. and M I. Karavelas (2011). Analysis of the Incircle predicate for the Euclidean Voronoi diagram of axes-aligned line segments, July 2011. arXiv:1107.5204v1 [cs.CG].
  • 13: Karali G., Antonopoulou D. and Kossioris G. (2011) Asymptotics for a generalized Cahn-Hilliard equation with forcing terms, Discrete Contin. Dyn. Syst.- Ser. A, 30, no 4, 1037 – 1054..
  • 14: Karali G., Antonopoulou D., (2011) Existence of solution for a generalized Stochastic Cahn-Hilliard Equation on convex domains, Discrete Contin. Dyn. Syst.- Ser. B, 16 no 1, 31-55, (2011)..
  • 15: Karavelas M. I. (2011) Guarding curvilinear art galleries with edge or mobile guards via 2-dominance of triangulation graphs. Computational Geometry: Theory and Applications, 44(1):20-51, January 2011..
  • 16: Karavelas M. I. and E. Tzanaki (2011). The maximum number of faces of the Minkowski sum of two convex polytopes, October 2011. arXiv:1106.6254v2 [cs.CG]..
  • 17: Karavelas M. I. and E. Tzanaki (2011). Tight lower bounds on the number of faces of the Minkowski sum of convex polytopes via the Cayley trick, December 2011. arXiv:1112.1535v1 [cs.CG]..
  • 18: Karavelas M. I. and Eleni Tzanaki (2011). Convex hulls of spheres and convex hulls of convex polytopes lying on parallel hyperplanes. In Proceedings of the 27th Annual ACM Symposium on Computational Geometry (SCG'11), pages 397-496, Paris, France, June 13-15, 2011..
  • 19: Katsaounis Th. and A.E. Tzavaras, (2011) Localization and shear bands in high strain-rate plasticity. In Nonlinear Conservation Laws and Applications, A. Bressan, G.-Q. Chen, M. Lewicka and D. Wang, eds.; IMA Vol. Math. Appl., 153, Springer, New York, 2011 , pp. 365-378..
  • 20: Katsaounis Th. and A.E. Tzavaras, (2011), Localization and shear bands in high strain-rate plasticity, In {\it Nonlinear Conservation Laws and Applications}, A. Bressan, G.-Q. Chen, M. Lewicka and D. Wang, eds.; IMA Vol. Math. Appl., 153, Springer, New York,  pp. 365-378..
  • 21: Katsaounis Th., D. Dutykh and D. Mitsotakis (2011), Dispersive wave runup on non-uniform shores, Finite volumes for complex application VI, Problems & Perspectives. Springer Proceedings in Mathematics, vol. 4, pp. 389 – 397..
  • 22: Katsaounis Th., D. Dutykh and D. Mitsotakis (2011), Finite volume schemes for Boussinesq type equations, Proceedings of Colloque EDP-Normandie, Caen, France, pp. 15-21..
  • 23: Katsaounis Th., D. Dutykh and D. Mitsotakis (2011), Finite volume schemes for dispersive wave propagation and runup, (), Journal of Computational Physics, vol. 230, no. 8, pp. 3035-3061.
  • 24: Kossioris G., M. Plexousakis, A. Xepapadeas and A. de Zeeuw (2011), On the optimal taxation of common-pool resources. Journal of Econ. Dynamics and Control, vol. 35, Issue 11, pp. 2011, 1868-1879..
  • 25: Makridakis Ch., C. Ortner and E. Su ̈li (2011) A priori error analysis of two force-based atomistic/continuum models of a periodic chain, Numer. Math. 119 (2011) pp. 83 - 121 .
  • 26: Makridakis Ch., E. Ba ̈nsch and F. Karakatsani (2011) The effect of mesh modication in time on the error control of fully discrete approximations for par- abolic equations, To appear in Appl. Numer. Math. Available online, September 2011 .
  • 27: Makridakis Ch., G. Akrivis and R. Nochetto (2011) Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence, Numer. Math. 118 (2011), pp. 429 - 456 .
  • 28: Makridakis Ch., I. Kyza (2011) Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations, SIAM J. Numer. Anal. 49 (2011) 405 - 426 .
  • 29: Makridakis Ch., I. Kyza, M. Plexoussakis (2011), Error control for time-splitting spectral approximations of the semiclassical Schro ̈dinger equation, IMA J. Numer. Anal. 31 (2011), pp. 416-441 .
  • 30: Miroshnikov and A.E. Tzavaras, (2011) A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of jacobians. Comm. Math. Sciences 10 (2012), pp. 87-115..
  • 31: Mohieddin Abukhdeir Nasser, Dionisios G. Vlachos, Markos Katsoulakis, and Michael Plexousakis (2011). Long-time integration methods for mesoscopic models of pattern-forming systems. J. Comp. Phys., 230(14):5704–5715..
2010
  • 1: Antonopoulou D., Karali G., and Sigal I.M., Stability of spheres under volume preserving mean curvature flow, l, Dynamics of PDE, 7, no 4, 327-344, (2010)..
  • 2: Antonopoulou D., Plexousakis M., , Discontinuous Galerkin methods for the linear Schrödinger equation in non-cylindrical domains, Numer. Math. 115, (2010), no. 4, 585-608.
  • 3: Baig C., V.A. Harmandaris (2010), Quantitative Analysis on the Validity of a Coarse-Grained Model for Nonequilibrium Polymeric Liquids under Flow, Macromolecules,43, pp. 3156-3160..
  • 4: Baxevanis, Th., Th. Katsaounis and A.E. Tzavaras, Adaptive finite element computations of shear band formation, it Math. Models Methods Appl. Sciences, {\bf 20} (2010), 423-448..
  • 5: Borcea, L., F. Gonzalez del Cueto, G. Papanicolaou and C. Tsogka, Filtering Random Layering Effects in Imaging, SIAM Multiscale Model. Simul., Vol. 8, pp. 751--781, 2010..
  • 6: Borcea, L., G. Papanicolaou and C. Tsogka, Subspace projection filters for imaging in random media, Comptes Rendus Mecanique, Vol. 338, pp. 390--401, 2010..
  • 7: Borcea, L., L. Issa and C. Tsogka, Source localization in random acoustic waveguides, SIAM Multiscale Modeling Simulations, Vol. 8 (5), pp. 1981-2022, 2010. .
  • 8: Karali, G., T. Ricciardi, D. Antonopoulou, and I.M. Siga, On the convergence of a fourth order evolution equation to the Allen-Cahn equation, Nonlinear Analysis TMA, 72, no 11, 427-4281, (2010)..
  • 9: Kossioris G. T., and G. E. Zouraris, «Fully-discrete finite element approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise», Mathematical Modelling and Numerical Analysis, vol. 44, pp. 289-322, 2010. .
  • 10: Makridakis, Ch., A. Demlow, Sharply localized pointwise a posteriori error estimates for parabolic problems, Math. Comp. 79 (2010), 1233-1262.
  • 11: Makridakis, Ch., I. Kyza, M. Plexousakis, Error control for time-splitting spectral approximations of the semiclassical Schroedinger equation IMA J. Numer. Anal. Advance Access, March, 2010.
2009
  • 1: Adimurthi, S. Filippas and A. Tertikas, (2009), On the best constant of Hardy-Sobolev Inequalities, Nonlinear Anal. Τ.Μ.Α. 70,  pp. 2826--2833. .
  • 2: Akrivis G. , Ch. Makridakis and R.H. Nochetto, (2009), Optimal order a posteriori error estimates for a class of Runge–Kutta and Galerkin methods, Numerische Mathematik, Volume 114, Number 1.
  • 3: Are S., MA Katsoulakis, A Szepessy, (2009), Coarse-Grained Langevin Approximations and Spatiotemporal Acceleration for Kinetic Monte Carlo Simulations of Diffusion of Interacting Particles, in Chinese Annals of Mathematics, Series B,  Volume: 30   Issue: 6, pp. 653-682   Published: NOV 2009.
  • 4: Bécache E., J. Rodriguez and C. Tsogka, (2009), Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition, ESAIM: Mathematical Modelling and Numerical Analysis, 43:2, pp. 377-398..
  • 5: Becache E., J. Rodriguez and C. Tsogka, (2009), The fictitious domain method and applications in wave propagation, Proceedings of the 2nd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Rhodes, Greece, 22-24 June, 2009..
  • 6: Berthelin F., A. Tzavaras and A. Vasseur (2009), From discrete velocity Boltzmann equations to gas dynamics before shocks. J. Stat. Physics 135, pp. 153-173..
  • 7: Borcea L., F. Gonzalez del Cueto, G. Papanicolaou and C. Tsogka, (2009), Filtering Deterministic Layer Effects in Imaging, SIAM Multiscale Model. Simul., 7:3, pp. 1267-1301..
  • 8: Dailiana, ZH, E. Mylona, X. Trepat, M.G. Lagoudakis, and M. Ioannou. Primary human osteosarcoma cell responses to alterations in substrate rigidity. Proceedings of the 55th Annual Meeting of the Orthopaedic Research Society, Las Vegas, USA, February, 2009..
  • 9: Dailiana, ZH; E. Mylona, X. Trepat, M.G. Lagoudakis, and M. Ioannou (2009), Primary human osteosarcoma cell responses to alterations in substrate rigidity. Proceedings of the 55th Annual Meeting of the Orthopaedic Research Society, Las Vegas, NV, USA, 22-25 January 2009.
  • 10: Filippas S., A. Tertikas and J. Tidblom, (2009), On the structure of Hardy-Sobolev-Maz´ya inequalities, J. Eur. Math. Soc. 11, pp. 1165--1185. .
  • 11: Filippas S., A. Tertikas and J. Tidblom, (2009), Optimal Hardy-Sobolev-Maz´ya inequalities with strong interior singularities, in `Around the Research of Vladimir Maz'ya I’, International Mathematical Series, Laptev Ari (ed.) Vol 12, Springer pp. 137--160. .
  • 12: Filippas S., L. Moschini and A. Tertikas, (2009) Improving L2 estimates to Harnack inequalities, Proc. London Math. Soc. 99, pp. 326--352..
  • 13: Hemmer M., E. P. Tsigaridas, Z. Zafeirakopoulos, I. Z. Emiris, M. I. Karavelas and B. Mourrain (2009), Experimental evaluation and cross-benchmarking of univariate real solvers. SNC2009: 3rd International Workshop on Symbolic-Numeric Computation, 45-54, 2009G..
  • 14: Jabin P.E. and A. Tzavaras. (2009), Kinetic decomposition for periodic homogenization problems, SIAM J. Math. Anal. 41, pp. 360-390 .
  • 15: Karali G. and P. Kevrekidis, (2009), Bubble Interactions for the Mullins-Sekerka problem: Some Case Examples, Math. Comput. Simulations 80, pp. 707-720..
  • 16: Karali G., P. Kevrekidis and N. Efremidis (2009), Nonlinear from Linear States in Two- Component Bose-Einstein Condensates, J. Phys. A: Math. Theor. 42 045206..
  • 17: Karavelas M. I., C. D. Tóth and E. P. Tsigaridas (2009), Guarding curvilinear art galleries with vertex or point guards. Computational Geometry: Theory and Applications, 42(6-7):522-535, August 2009..
  • 18: Katsaounis Th. and A. Tzavaras, (2009), Effective equations for localization and shear band formation SIAM J. Applied Math. 69, pp.1618-1643..
  • 19: Lakkis O., Ch. Makridakis, A. Demlow, (2009), A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems  in SIAM J. Numer. Anal. 47, 2157..
  • 20: Margetis D. and A. Tzavaras (2009), Kinetic hierarchies and macroscopic limits for crystalline steps in 1 + 1 dimensions, Multiscale Model. Simul. 7, pp. 1428-1454..
  • 21: Mylona E., L.G Alexopoulos, K. Chairakaki, I. Melas (2009), Substrate rigidity alters the secreted protein profile and chemotaxis response of fibrosarcoma cells», Proceedings of the 444th Wilhelm and Else Heraeus Seminar on Cell Mechanics and 3rd European Meeting on Cell Mechanics, Physikzentrum Bad Honnef, Germany, 19 - 21 October 2009..
  • 22: Mylona E., L.G. Alexopoulos, A. Chairakaki, and I. Melas. Substrate rigidity alters the secreted protein profile and chemotaxis response of fibrosarcoma cells. Proceedings of the 444th WE-Heraeus Seminar on "Cell Mechanics", Bad Honnef, Germany, October, 2009.
2008
  • 1: Alikakos N., G. Fusco (2008), On the connection problem for potentials with several global minima, Indiana University Mathematics Journal, Vol. 57, No. 4, pp. 1871-1906. .
  • 2: Bécache E. , J. Rodriguez and C. Tsogka, ‘Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition’, ESAIM: Mathematical Modelling and Numerical Analysis, published electronically, Dec 2008..
  • 3: Borcea L. , G. Papanicolaou, C. Tsogka, ‘Selective array imaging of cracks in homogeneous and random media’, Proceedings of WCCM8-ECCOMAS 08, Venice, Italy, June 30 - July 4, 2008.
  • 4: Borcea L. , G. Papanicolaou, C. Tsogka, ‘Waveform design for selective imaging in random media, Proceedings of the Conference on Inverse Problems Control and Optimization’, Marrakesh, Marroco, April 16-19, 2008.
  • 5: Dirr N. , G. Karali and N.K Pulsating wave for mean curvature flow in inhomogeneous medium,. Yip, European Journal of Applied Mathematics, 19, 661-699, (2008).
  • 6: Filippas S. , L. Moschini and A. Tertikas, On a class of weighted anisotropic Sobolev inequalities, J. Funct. Anal. 255(2008), 90-119..
  • 7: Jetzek F., E. Mylona, and D. Manoussaki. Prediction of potential locations of focal adhesions on the contour of adherent cells, Fifth IEEE International Symposium on Biomedical Imaging Proceedings, Paris, France, May, 2008..
  • 8: Karali G. and M. Katsoulakis Sharp interface limit via approximate solution and spectrum, Variational Problems and Related Topics, Research Institute for Mathematical Sciences Kyoto University, 19-21 June 2007, Surikaisekikenkyusho Kokyuryoku No. 1591 (2008)..
  • 9: Karavelas Menelaos I. , Elias P. Tsigaridas: Guarding curvilinear art galleries with vertex or point guards, 2008. arXiv:0802.2594v1.
  • 10: Karavelas Menelaos I. : Guarding curvilinear art galleries with edge or mobile guards via 2-dominance of triangulation graphs, 2008. arXiv:0802.1361v1.
  • 11: Katsaounis Th. , Th. Baxevanis, Burst avalanches and inter-occurrence times in creep rupture, Europhysics Letters, vol. 81, no. 2, 2008..
  • 12: Katsaounis Th. , Th. Baxevanis, Scaling of the size and temporal occurrence of burst sequences in creep rupture of fiber bundles, European Physical Journal B, vol. 61, no.2, 2008.
  • 13: Kossioris G. , Christos Zohios, Yannis Papaharilaou, “Detection of lumen, thrombus and outer wall boundaries of an abdominal aortic aneurysm from 2D medical images using level sets methods”, 2008 ASME Summer Bioengineering Conference, Miami, Florida.
  • 14: Kossioris G. , M. Plexousakis, A. Xepapadeas, A. de Zeeuw and K-G. Mäler, “Feedback Nash equilibria for non-linear differential games in pollution control”, Journal of Economic Dynamics and Control, 32, (2008), no. 4, 1312--1331..
  • 15: Makridakis v, E. Cuesta ‘A posteriori error estimates and maximal regularity for approximations of ful ly nonlinear parabolic problems in Banach spaces’, Numer. Math. 110, (2008), 257-275.
  • 16: Manoussaki D., R.S. Chadwick, D.R. Ketten, J. Arruda, E.K. Dimitriadis J.T. O’Malley, (2008), The Influence of Cochlear Shape on Low-Frequency Hearing, Proceedings of the National Academy of Sciences of the USA, April 22, 2008, 105(16), pp. 6162-66.
  • 17: Mylona E. Cancer cell mechanotaxis and intracellular mechanisms. Proceedings of the American Society for Matrix Biology Biennial Meeting, San Diego, December, 2008 .
  • 18: Mylona E. Cancer cell migration: substrate mechanics and intracellular mechanisms. Proceedings of the American Society of Cell Biology Annual Meeting, p.81, San Fransisco, USA, December, 2008. .
  • 19: Mylona E., Z.H. Dailiana, X. Trepat, and M.G. Lagoudakis. Substrate Rigidity Dictates Phenotype, Survival, and Mechanics of Primary Human Osteosarcoma Cells, 6th European Symposium on Biomedical Engineering Symposium Proceedings, Chania, Greece, July, 2008 .
  • 20: Otto F, Tzavaras AE, ‘Continuity of velocity gradients in suspensions of rod-like molecules’, COMMUNICATIONS IN MATHEMATICAL PHYSICS 277 (3): 729-758, 2008.
  • 21: Stéphanou A, E. Mylona, M. Chaplain and P. Tracqui. A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions J. Theor. Bio. 253(4): 701-16, 2008.
2007
  • 1: Alikakos N., P. Fife, G. Fusco, and C. Sourdis (2007), Singular Perturbation Problems Arising from the Anisotropy Grain Boundaries, J. Dyn. Diff. Equations 19, No.4, pp. 935-949..
  • 2: Baxevanis T. , Th. Katsaounis, 2007: Load capacity and rupture displacement in viscoelastic fiber bundles, Physical Review E, Vol. 75, no 4.
  • 3: Filippas S. , V. Maz'ya, A. Tertikas, 2007: Critical Hardy-Sobolev Inequalities, J. Math. Pures Appl. (9), 87(1), (2007), 37-56..
  • 4: Filippas S., L. Moschini, A. Tertikas, 2007: Sharp two-sided heat kernel estimates for critical Schrodinger operators on bounded domains, Comm. Math. Physics, 273, no. 1, (2007), 237--281..
  • 5: Gabrielides N. C. , A. I. Ginnis, P. D. Kaklis and M. I. Karavelas. G1-smooth Branching Surface Construction from Cross Sections. Computer-Aided Design, 39(8):639-651, August 2007..
  • 6: Kalligiannaki E. , G.N Makrakis, 2007: Conservation equations for the semiclassical Schrodinger equation near caustics. Applicable Analysis, vol 86, no 8, 2007, pp 917-944.
  • 7: Karakatsani F. , C. Makridakis 2007: A posteriori estimates for approximations of time-dependent Stokes equations, IMA Journal of Numerical Analysis, 27, pp 741-764.
  • 8: Katsoulakis M. , G. Kossioris, O. Lakkis, Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem Interfaces Free Bound. 9 (2007), no. 1, 1—30.
  • 9: Mylona E., D. Manoussaki, and F. Jetzek. Substrate Rigidity Regulates Multiple Responses of Tumor Cells. Proceedings of the American Society for Cell Biology & European Cytoskeleton Forum, p. 23, Dijon, France, June, 2007..
  • 10: Otto F, Tzavaras AE, Continuity of velocity gradients in suspensions of rod-like molecules Communications in Mathematical Physics 277 (3): 729-758 FEB 2008.
  • 11: Portilheiro M, Tzavaras A, Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves, Transactions of the American Mathematical Society 359 (2): 529-565 2007.
  • 12: Russel D. , M. I. Karavelas and L. J. Guibas. A package for Exact Kinetic Data Structures and Sweepline Algorithms. Computational Geometry: Theory and Applications, Special Issue on CGAL, 38(1-2):111-127, September 2007..
  • 13: Tertikas and N. Zographopoulos, Best constants in the Hardy-Rellich Inequalities and Related Improvements, Adv. Math. 209 (2), (2007), 407–459..
2006
  • 1: Akrivis G. , Ch. Makridakis, R. Nochetto, 2006: "A posteriori error estimates for the Crank-Nicolson method for parabolic equations". Math. Comp. 75 (2006), no. 254, 511--531 (electronic).
  • 2: Athanasopoulos I. , L.A Cafarelli, 2006: "Optimal regularity of lower dimensional obstacle problems", Journal of Mathematical Sciences, Vol 192, No 9, 2006.
  • 3: Karakatsani F. , Ch. Makridakis, 2006: "A posteriori estimates for approximations of time-dependent Stokes equations" IMA J Numer Anal, Advance Access published on December 11, 2006; doi: doi:10.1093/imanum/drl036.
  • 4: Katsounis Th. , O. Karakashian, 2006: "Numerical Simulation of Incompressible Fluid Flow using Locally Solenoidal Elements", Computers and Mathematics with Applications, vol 51, pp. 1551-1570, 2006.
  • 5: Lakkis O. , Ch. Makridakis, 2006: "Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems".Math. Comp. 75 (2006), no. 256, 1627--1658 (electronic)..
  • 6: Makridakis Ch. , R. Nochetto, "A posteriori error analysis for higher order dissipative methods for evolution problems". Numer. Math. 104 (2006), no. 4, 489--514..
  • 7: Tertikas A. , J. Chabrowski, S. Filippas, "Positive solutions of a Neumann Problem with competing critical nonlinearities", Topol. Methods Non. Anal. 28(2006), 1-31.
  • 8: Tertikas A. , S. Filippas, V.G. Maz'ya ,  "On a question of Brezis and Marcus", Calc.Var.Patial Differential Equations 25,4 (2006), 491-501..
  • 9: Tertikas A. ,  G. Barbatis, "On a class of Rellich inequalities",   J. Comput. Applied Math. 194(2006), 156-172..
2005
  • 1: Delis A.I , Th. Katsaounis, 2005: "Numerical Solution of the two-dimensional Shallow Water Equations by the application of Relaxation methods", Applied Mathematical Modelling 29 (2005), pp 754 – 783.
  • 2: Katsaounis Th. , K. Simeoni, 2005: "First and Second Order Error Estimates for the Upwind Source at Interface Method", Mathematics of Computation, Vol 74, No 249, pp103-122.
2004
  • 1: Akrivis G. and Ch. Makridakis, “Galerkin time-stepping methods for nonlinear parabolic equations”, G. Akrivis and Ch. Makridakis, ESAIM:Math. Mod. & Num.Anal., Vol.38, No2, 2004, 261-289..
  • 2: Arvanitis Ch. , Ch. Makridakis and A. Tzavaras, “Stability and convergence of a class of finite element schemes for hyperbolic systems of conservation laws”, SIAM J. Numer. Anal., Vol. 42, 1357-1393..
  • 3: Babuska I. , R. Tempone, G. Zouraris “Galerkin finite element approximations of stochastic elliptic partial differential equations”, SIAM J. Numer. Analysis, Vol. 42, No.2, pp.800-825, 2004.
  • 4: Barbatis G. , S. Filippas and A. Tertikas: “A unified approach to improved Lp Hardy inequalities with best constants”, Trans. of AMS, Vol. 356, No. 6, 2169-2196..
  • 5: Barbatis G. , S. Filippas and A. Tertikas: “Critical heat kernel estimates for Schroedinger operators via Hardy-Sobolev inequalities”, J. of Functional Anal. 208, 1-30..
  • 6: Baxevanis Th. , Th. Katsaounis and A. Tzavaras, “A finite element method for computing shear band formation”,Hyperbolic Problems: Theory, Numerics, Applications (Proceedings HYP2004)..
  • 7: Delis A.I. , Th. Katsaounis, “A generalized relaxation method for transport and diffusion of pollutant models in shallow water”, Comp. Methods in Appl. Math., Vol.4 (2004), No.4, 410-430..
  • 8: Farsari Y. , P. Prastacos 2004: "GIS Apllications in the Planning and Management of Tourism." In A. Lew, M. Hall, A. Williams (eds) A Companion to Tourism, pp. 596 – 607.
  • 9: Filippas S. , V.G. Maz’ya and A. Tertikas: “Sharp Hardy-Sobolev inequalities”, C.R. Acad. Sci. Paris, Ser. I 339 (2004) 483-486..
  • 10: Ikehata M., G. N. Makrakis, G. Nakamura, , “Inverse boundary problem for ocean acoustics using point sources”, Math. Methods in Appl. Sci., 27, 2004, 1367-1384..
  • 11: Karakashian O. and Ch. Makridakis, “Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations”, Math. Of Comput. Vol. 74, No. 249, 85-102..
  • 12: Katsaounis Th. , B. Perthame, , C. Simeoni, “Upwinding sources at interfaces in conservation laws”, Appl. Math. Letters 17 (2004) 309-316..
  • 13: Kollias Andreas , Kathy Kikis, 2004: "Students’ level of Satisfaction with an On – line Seminar Based on a Social – constructivist Pedagogic Design",.
  • 14: Makrakis G. N. , E.K. Skarsoulis, 2004: "Asymptotic Approximation of Ocean – Acoustic Pulse Propagation in the Time Domain", Journal of Computational Acoustics, Vol. 12, No 2 (2004), pp 197 – 215..
  • 15: Plexousakis M. , G. Zouraris, “On the construction and analysis of high order locally conservative finite volume-type methods for one-dimensional elliptic problems”, SIAM J. Numer. Analysis, Vol. 42, No.3, 1226-1260, 2004..
2003
  • 1: Barbatis G. , S. Filippas and A. Tertikas, 2003: "Refined Geometric Lp Hardy inequalities", Communications in Contemporary Mathematics. Vol. 5 No 6, pp. 869-881.
  • 2: Barbatis G. , S. Filippas and A. Tertikas 2003: "Series expansion for Lp Hardy inequalities", Indiana University Mathematics Journal, Vol. 52, No. 1, pp. 171-190..
  • 3: Ben Moussa , G.T Kossioris, 2003: "On the System of Hamilton – Jacobi and Transport Equations Arising in Geometrical Optics", Comm. Partial Differential Equations, Vol 28, No 5-6, pp 1085 -1111.
  • 4: Filippas S. , G. N. Makrakis 2003: ‘’ Semiclassical Wigner Function and Geometrical Optics’’, Society for Industrial and Applied Mathematics, Vol.1, No4, pp 674-710..
  • 5: Kalligiannaki E. , Th. Katsaounis, G. N. Makrakis 2003: ‘’High Frequency Waves Near Cusp Caustics’’, Quarterly of Applied Mathematics, Volume LXI, No 1, pp 111-129..
  • 6: Makridakis, Charalambos 2003; Perthame, Benoît Sharp 2003: ‘’CFL, discrete kinetic formulation, and entropic schemes for scalar conservation laws’’. SIAM J. Numer. Anal. 41, no. 3, pp 1032--1051.
  • 7: Makridakis, Charalambos; Nochetto, Ricardo H. 2003: ‘’Elliptic reconstruction and a posteriori error estimates for parabolic problems.’’ SIAM J. Numer. Anal. 41 , no. 4, pp 1585--1594 ..
  • 8: Makridakis, Charalambos; Perthame, Benoît 2003: ‘’Optimal rate of convergence for anisotropic vanishing viscosity limit of a scalar balance law’’. SIAM J. Math. Anal. 34 , no. 6, pp 1300--1307.
  • 9:  Chatzipantelidis, P.; Makridakis, Ch.; Plexousakis, M. 2003: ‘’A-posteriori error estimates for a finite volume method for the Stokes problem in two dimensions’’. Appl. Numer. Math. 46 , no. 1, pp 45--58..
2002
  • 1: Filippas S. , A. Tertikas, 2002 "Optimizing Improved Hardy Inequalities", Journal of Functional. Analysis, Vo. 192, 1, pp. 186--233..