CURRICULUM VITAE. Personal Data. Studies. Ph.D Thesis Theory and Numerical Analysis of Parabolic Approximation, 2006 (in Greek). Research Interests
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1 CURRICULUM VITAE Personal Data Name: DIMITRA ANTONOPOULOU Place of birth: Athens, Greece e mail: d.antonopoulou@chester.ac.uk Webpage Studies Diploma of Mathematics, Department of Mathematics, University of Athens, Greece. M.Sc. in Applied Mathematics and Numerical Analysis, Department of Mathematics, University of Athens, Greece, Ph.D in Numerical Analysis, Department of Mathematics, University of Athens, Greece, Supervisor: Professor V.A. Dougalis. Ph.D Thesis Theory and Numerical Analysis of Parabolic Approximation, 2006 (in Greek). Research Interests Non-linear and Stochastic Partial Differential Equations, Long time Asymptotics, Multi-Phase Materials, Numerical Solution of Stochastic PDEs and PDEs by Finite Element Methods, Finite Difference Schemes, Discontinuous Galerkin Methods, Partial Differential Equations, Applied Functional Analysis, Underwater Acoustics, Aeroacoustics. Current position Senior Lecturer, Department of Mathematics, University of Chester, UK. PGCERT degree, August 2017, and FHEA Other I am an AMS (Mathscinet), and ZbMATH reviewer, and representative of my department at the London Mathematical Society (LMS). Also I am a member of European Women in Mathematics (EWM). Prize from the Academy of Athens, Greece, in Analysis, for my work with Prof. S. Kamvissis on the NLS equation,
2 Journal Papers 1. D.C. Antonopoulou, D. Blömker, G.D. Karali, The sharp interface limit for the stochastic Cahn-Hilliard equation, accepted in Annales de l Institut Henri Poincaré Probabilités et Statistiques, D.C. Antonopoulou, S. Kamvissis, Addendum to the article: On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line, Nonlinearity, 29(10), pp , D.C. Antonopoulou, P.W. Bates, D. Blömker, G.D. Karali, Motion of a droplet for the Stochastic mass conserving Allen-Cahn equation, SIAM J. Math. Anal., 48-1, pp , D.C. Antonopoulou, G.D. Karali, A. Millet, Existence and regularity of solution for a Stochastic Cahn- Hilliard / Allen-Cahn equation with unbounded noise diffusion, Journal of Differential Equations, 260, pp , D.C. Antonopoulou, S. Kamvissis, On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line, Nonlinearity, 28, pp , D.C. Antonopoulou, Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions, ESAIM: M2AN, 49(4), pp , D.C. Antonopoulou, G.D. Karali, M. Plexousakis, G.E. Zouraris, Crank-Nicolson Finite Element Discretizations for a 2D Linear Schrödinger-Type Equation Posed in a Noncylindrical Domain, Mathematics of Computation, 84(294), pp , D.C. Antonopoulou, G.D. Karali, E. Orlandi, A Hilbert expansions method for the rigorous sharp interface limit of the generalized Cahn-Hilliard Equation, Interfaces and Free Boundaries, 16(1), pp , D.C. Antonopoulou, G.D. Karali, A nonlinear partial differential equation for the volume preserving mean curvature flow, Networks and Heterogeneous Media, 8(1), pp. 9 22, D.C. Antonopoulou, V.A. Dougalis, G.E. Zouraris, A Finite Difference method for the Wide-Angle Parabolic equation in a waveguide with downsloping bottom, Numer. Meth. PDEs, 29, pp , D.C. Antonopoulou, D. Blömker, G.D. Karali, Front motion in the one-dimensional stochastic Cahn-Hilliard equation, SIAM J. Math. Anal., 44-5, pp , D.C. Antonopoulou, G.D. Karali, A.N.K. Yip, On the parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force, J. Differential Eq., 252, pp , N.A. Kampanis, A.I. Delis, D.C. Antonopoulou, G. Kozyrakis, A finite element discretization of the standard parabolic equation in generalized boundary fitting coordinates, published on line in Appl. Numer. Math., 2011 (doi: /j.apnum ). 14. D.C. Antonopoulou, Galerkin methods for the Parabolic Equation Dirichlet problem in a variable 2-D and 3-D topography, published on line in Appl. Numer. Math., 2011 (doi: /j.apnum ). 15. D.C. Antonopoulou, G.D. Karali, G.T. Kossioris, Asymptotics for a generalized Cahn-Hilliard equation with forcing terms, Discrete Contin. Dyn. Syst. A, 30(4), pp , D.C. Antonopoulou, G.D. Karali, Existence of solution for a generalized Stochastic Cahn-Hilliard Equation on convex domains, Discrete Contin. Dyn. Syst. B, 16(1), pp ,
3 17. D.C. Antonopoulou, G.D. Karali, I.M. Sigal, Stability of spheres under volume-preserving mean curvature flow, Dynamics of PDE, 7(4), pp , D.C. Antonopoulou, M. Plexousakis, Discontinuous Galerkin Methods for the Linear Schrödinger Equation in non-cylindrical domains, Numer. Math., 115(4), pp , D.C. Antonopoulou, V.A. Dougalis, G.E. Zouraris, Galerkin methods for Parabolic and Schrödinger Equations with dynamical boundary conditions and applications to underwater acoustics, SIAM J. Numer. Anal., 47(4), pp , Preprints 1. D.C. Antonopoulou, M. Plexousakis, A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain. 2. D.C. Antonopoulou, D. Farazakis, G.D. Karali, Malliavin calculus for the stochastic Cahn-Hilliard / Allen Cahn equation with unbounded noise diffusion, M. Alfaro, D.C. Antonopoulou, G.D. Karali, H. Matano, Formation of fine transition layers and their dynamics for the stochastic Allen-Cahn equation. In Progress 1. D.C. Antonopoulou, G.D. Karali, N.K. Yip, Stochastic motion driven by mean curvature flow. 2. D.C. Antonopoulou, G.D. Karali, A.Talidou, Numerical study and error analysis for the multi-dimensional stochastic Cahn-Hilliard/Allen-Cahn equation. 3. D.C. Antonopoulou, S. Kamvissis, Long time asymptotics for the KdV equation on the half-line. 4. D.C. Antonopoulou, G.D. Karali, I.M. Sigal, Trapped spheres and their stability under the volume preserving mean curvature flow. Conference Papers - Other 1. D.C. Antonopoulou, V.A. Dougalis, F. Sturm, G.E. Zouraris, Conservative initial-boundary problems for the Wide-Angle PE in waveguides with variable bottoms, Proceedings Acoustics 08 Paris, J. Acoust. Soc. Am., 123 (2008), pp D.C. Antonopoulou, V.A. Dougalis, G.E. Zouraris, A finite element method for the PE in a variable, rigid bottom environment, via a model reformulation, Proceedings, ICTCA07, IACM-FORTH, D.C. Antonopoulou, V.A. Dougalis, G.E. Zouraris, Finite element discretization of the PE in domains with a variable, rigid bottom, Proceedings, ELINA 2006, IACM-FORTH. 3
4 4. D.C. Antonopoulou, V.A. Dougalis, A Discontinuous Galerkin Method for the Linear Schrödinger Equation in a variable domain, Proceedings, 36ème Congrès National d Analyse Numérique, Obernai (Bas-Rhin, Alsace), D.C. Antonopoulou, V.A. Dougalis, Finite Element Discretization of the Parabolic Equation in an underwater variable bottom environment, Advances in Scattering and Biomedical Engineering, World Scientific, New Jersey, eds. D. Fotiadis and C. Massalas, pp , A. Antonopoulos, D.C. Antonopoulou, Pedal hyper-surfaces and DOP factors in GPS, Survey Review, 38(296), pp , A. Antonopoulos, D.C. Antonopoulou, Remarks on the stability of satellite motion, Artificial satellites, Journal of Planetary Geodesy, 37(3), pp , Teaching Experience 1. Department of Mathematics, University of Chester, UK, (Senior Lecturer) as Module Leader and Tutor for: Master: Numerical Analysis, Numerical Linear Algebra. Undergraduate studies: Numerical Analysis, MATLAB, Probability and Statistics, Introduction to Stochastic Processes. PhD Seminar: with Dr. Yubin Yan on numerical solution of stochastic PDEs ( ). 2. Department of Applied Mathematics, University of Crete, Heraklion, Greece, (Visiting Assistant Professor): Functional Analysis, Linear and Non-Linear Programming, Calculus, Numerical Solution of ODE, Probability. (a) Functional Analysis: Fall 2006, Fall (b) Linear and Non-Linear Programming: Spring 2007, Spring 2008, Spring 2009, Spring 2010, Fall (c) Calculus: Fall 2008, Fall 2009, Fall (d) Numerical Solution of ODE: Spring (e) Probability: Spring Department of Mathematics, University of Athens, Greece, (Assistant in laboratories and exercises): Numerical Analysis, Fortran, Matlab, Computational Mathematics, Calculus. 4
5 Students Advisor for the Master thesis of Daniel Taylor, entitled as Optimization Methods and Applications on problem solving with MATLAB in the presence of randomness, Dept. of Mathematics, University of Chester, Advisor for the Master thesis of Michael Pritchard, entitled as Stochastic processes and applications to Stochastic Heat equation, Dept. of Mathematics, University of Chester, Advisor for the Research Master thesis of Ben Roberts, entitled as Stochastic Partial Differential Equations applied as Phase Field Models for Spinodal Decomposition and Nucleation, Dept. of Mathematics, University of Chester, Advisor for Soza Mahmood Master thesis, entitled as Stochastic Calculus and Applications to Partial Differential Equations in the presence of Noise, Dept. of Mathematics, University of Chester, Advisor for Afroditi Talidou undergraduate thesis entitled as A first insight in the numerical solution of stochastic PDEs: The generalized Polynomial Chaos and Monte Carlo methods, Dept. of Applied Math., University of Crete, Afroditi is now a postgraduate student at the Department of Mathematics at University of Toronto. Scholarships-Grants National Scholarship (IKY) in Pure Mathematics-Analysis, Department of Mathematics, University of Athens, Greece, ( ). Postgraduate Scholarship (Program ERASMUS), Department of Applied Mathematics, University of Versailles, France (1/6/ /8/1998). Ph.D Scholarship (Marie Curie Fellowship), Department of Mathematics, University Paris-Sud, Orsay, France (1/2/ /6/2004). National Scholarship for Postdoctoral Research, ( ). Main co-investigator in ARISTEIA I and ARISTEIA II, Conferences organization 1. Workshop on Evolution Equations (co-organizer), IACM-FORTH, Crete Greece, 24/9/2014. Conferences 1. Euroconferences on Mathematics in Crete, Galerkin Methods for Evolution Equations, Anogia, Crete, June th Hellenic European Research on Computer Mathematics and its Applications, HERCMA 2001, Athens, 20 22/9/ Modelling and Numerical Methods for Multiscale Problems, IACM - FORTH, Heraklion, Crete, 2 7/6/
6 4. Summer School in Applied Mathematics: Waves and Patterns, University of Athens Department of Mathematics, Athens, 9 20/6/ ème Congrès national d Analyse Numérique (canum 2004), Obernai (Bas-Rhin, Alsace), 31/5 4/6/ M3ST06, International Conference on Modern Mathematical Methods in Science and Technology, Paros, Greece, 7 9/9/ ACOUSTICS 2006, National Conference, FORTH, Heraklion, Crete, 18 19/9/ th International Conference on Theoretical and Computational Acoustics ICTCA 2007 Heraklion, Crete, 2 5/7/ Acoustics 08 Paris, 29/6 4/7/ Mathematical Challenges Motivated by Multi-Phase Materials: Analytical, Stochastic and Discrete Aspects, Anogia, Crete, 21 26/6/ NumAn2010 Conference in Numerical Analysis: Recent Approaches to Numerical Analysis. Theory, Methods and Applications, Chania, Crete, September 15-18, Women in Applied Mathematics Workshop, Department of Applied Mathematics of the University of Crete and the Archimedes Center for Modeling, Analysis and Computation (ACMAC), Heraklion, Crete, Greece, 2 5/5/ M3ST 2012 Kalamata, Greece, 26 28/8/ th Workshop on Numerical Methods for Evolution Equations, FORTH Heraklion, Crete, Greece, 21 22/9/ International Conference on Applied Mathematics ACMAC, Heraklion, Crete, Greece, 16 20/9/ NumAn2014 Conference in Numerical Analysis. 2 5/9/ Workshop on Evolution Equations (co-organizer), IACM-FORTH, Crete Greece, 24/9/ th Biennial Numerical Analysis Conference, Strathclyde, 23 26/6/ th Conference on Stochastic Processes and their Applications (SPA15), Oxford, 13 17/7/ MAFELAP Brunel University London, The mathematics of finite elements and applications, 14 17/6/ International Workshop on BSDEs, SPDEs and their Applications, Edinburgh, 3 7/7/2017. Languages - French, fluently (Diplome d Études Supérieures, Institute Francaise d Athènes, 1995). - English, fluently. 6
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