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Curriculum Vita: [pdf]
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 sciences/engineering. At present I'm studying theoretical and simulation aspects of grain growth in complex materials. Before coming to GMU, I was a CNA postdoc at Carnegie Mellon University and part of the interdepartmental MRSEC initiative (MIMP). Other projects I have been heavily involved with over the years 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 (MATCASE). I have also worked in the areas of multidimensional birth-death processes and development of efficient pricing schemes in next generation telecommunication networks, solution of ill-conditioned systems of linear equations and mathematical models in biology.
REPRESENTATIVE PUBLICATIONS
K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer, S. Ta'asan, "Towards a statistical theory of texture evolution in polycrystals", to appear in SIAM J. Sci. Comput., 2008
K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer, and S. Ta'asan., "A new perspective on texture evolution", to appear in Intl. J. of Num. Anal. and Modeling, (2008)
Q. Du, M. Emelianenko, "Uniform convergence of a nonlinear energy-based multilevel quantization scheme via centroidal Voronoi tessellations", to appear in SIAM J. Numer. Anal., (2008)
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:
Fall 2008: Math 214 - Elementary Differential Equations
Spring 2008: Math 685/CSI 700 - Numerical Analysis/Num. Methods Engr & Stat
Fall 2007: Math 446/OR 481 - Numerical Analysis I (course managed through WebCT website)
At Carnegie Mellon:
Summer 2007: Undergraduate Summer Institute in Applied Mathematics: REU07 website
Fall 2006: 21-369 - Numerical Methods (course information available through the Blackboard online course management system).
Fall 2005: 21-369 - Numerical Methods (course information available through the Blackboard online course management system).
At Penn State:
see Teaching Portfolio for a detailed list of courses taught.
COLLABORATORS
- Qiang Du, Penn State U.
- David Kinderlehrer, Carnegie Mellon U.
- Shlomo Ta'asan, Carnegie Mellon U.
- Dmitry Golovaty, U. Akron
- Bob Pego, Carnegie Mellon U.
- Lili Ju, South Carolina U.
- Alex Rand, Carnegie Mellon U.
- Zi-Kui Liu, Penn State U.
- Ludmil Zikatanov, Penn State U.
STUDENTS
- Hye Young Na, GMU, CDS/Math, undergraduate student, current
- Tarek Elgindi (University of Wisconsin - Madison), REU student, CMU, Summer 2007
- Morgan Shaffer (Mount Holoyoke College), REU student, CMU, Summer 2007
- Michelle Baker (Shippensburg University), REU student, CMU, Summer 2007
- Jian Wang (U. Tennessee - Knoxville), REU student, CMU, Summer 2007
- Keith Rogers (Alabama State), REU student, CMU, Summer 2007
- Alexander Chun (Northwestern University), REU student, CMU, Summer 2007