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MARIA EMELIANENKO

Associate Professor
Department of Mathematical Sciences
Faculty Member, Computational Materials Science Center
George Mason University
Fairfax, VA 22030

Office:
Exploratory Hall, Room 4454
Phone: (703) 993-9688

email: memelian AT gmu DOT edu
webpage: http://math.gmu.edu/~memelian


Curriculum Vita: [pdf]


RECENT PROFESSIONAL ACTIVITIES Research group website

Graduate Research support available. Please email for details.


RESEARCH AREAS

My research is in the area of applied mathematics with main focus on the analysis and development of efficient numerical algorithms. I'm especially interested in problems arising on the interface between mathematical and physical or biological sciences/engineering. At present I'm studying theoretical and simulation aspects of grain growth in complex materials. Other projects I am involved with include the design of fast new algorithms for quantization and clustering with the use of the concepts like centroidal Voronoi tessellations, and optimization methods for the determination of phase diagrams for multicomponent materials and developing methods for ill-conditioned linear systems. I am also collaborating with biologists and chemists on a number of projects. Before coming to GMU, I obtained my PhD at Penn State and spent two years as a CNA postdoc at Carnegie Mellon University where I took part in the interdepartmental MRSEC initiative (MIMP).


REPRESENTATIVE PUBLICATIONS

K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R. Sharp, S. Ta'asan "Critical events, entropy, and the grain boundary character distribution", Physical Review B, Vol. 83, 134117 (2011)

M. Emelianenko, "Fast Multilevel CVT-based Adaptive Data Visualization Algorithm", Numer. Math. Theor. Meth. Appl., 3, No. 2 (2010), p.195-211

K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer, S. Ta'asan, "Towards a statistical theory of texture evolution in polycrystals", SIAM J. Sci. Comput., 30 No. 6 (2008), p. 3150-3169

K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer, and S. Ta'asan., "A new perspective on texture evolution", Intl. J. of Num. Anal. and Modeling, 5 Supp (2008), p.93--108

Q. Du, M. Emelianenko, "Uniform convergence of a nonlinear energy-based multilevel quantization scheme via centroidal Voronoi tessellations", SIAM J. Numer. Anal., 46, Issue 3 (2008), p. 1483--1502

Q. Du, M. Emelianenko and L. Ju, "Convergence properties of the Lloyd algorithm for computing the centroidal Voronoi tessellations", SIAM J. Numer. Anal., 44, Issue 1 (2006), 102-119

Q. Du, M. Emelianenko, "Acceleration schemes for computing the centroidal Voronoi tessellations", Numer. Linear Algebra Appl.,13, Issue 2-3, (2006), 173-192

M. Emelianenko, Z.-K. Liu, Q. Du, "A New Algorithm for the Automation of Phase Diagram Calculation", Comp. Mater. Sci., 35, issue 1 (2006), 61-74 (In ScienceDirect Top 25 Hottest Articles)

M. Yacoubi, M. Emelianenko and N. Gautam, "Pricing in next generation network queuing model to guarantee QoS", Perform. Evaluation, 5, issue 1 (2003), 59-84 (In Top 10 downloads from Performance Evaluation website in 2003)




TEACHING

At George Mason:

Math 290 (sophomore) Intro to Advanced Math - Spring 2013

Math 114 (freshman) Calculus II - Spring 2013

Math 678 (grad) Partial Differential Equations - Fall 2011

Math 113 (freshman) Calculus I - Spring 2011, Fall 2011, Fall 2014

Math 214 (sophomore) Elementary Differential Equations - Spring 2014, Spring 2011, Fall 2010, Fall 2008

Math 413 (senior) Introduction to Applied Mathematics - Fall 2010, Fall 2014

Math 414 (senior) Introduction to Applied Mathematics II - Spring 2015

Math 685/CSI 700 (grad) Numerical Methods - Spring 2008, Spring 2010

Math 677 (grad) Ordinary Differential Equations - Fall 2009

Math 446/OR 481 (senior) Introduction to Numerical Analysis - Fall 2007



At Carnegie Mellon:

Summer 2007: Undergraduate Summer Institute in Applied Mathematics: REU07 website

Fall 2005, Fall 2006: 21-369 - Numerical Methods

At Penn State:

see Teaching Portfolio for a detailed list of courses taught.



COLLABORATORS
  • Qiang Du, Zi-Kui Liu: Penn State U.
  • Katayun Barmak, David Kinderlehrer, Tony Rollett: Carnegie Mellon U.
  • Dmitry Golovaty: U. Akron
  • Ancha Baranova, Igor Griva, Stephen Nash: George Mason U.
  • Lili Ju: South Carolina U.


STUDENTS