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Curriculum Vita: [pdf]
co-Director, Multidisciplinary REU Program in Computational Mathematics and Nonlinear Dynamics of Biological, Bio-inspired and Engineering Systems, 2009-2010 and 2012-2013 (upcoming)
co-Director, GMU Sonia Kovalevsky Middle and High School Day, May 20, 2011
co-Organizer, Undergraduate Mathematics Conference in Washington, April 21-22, 2012
co-Founder and former co-organizer, Applied and Computational Math seminar
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:
Fall 2011: Math 678 - Partial Differential Equations
Math 113 - Calculus I
Spring 2011: Math 214 - Elementary Differential Equations
Math 113 - Calculus I
Fall 2010: Math 214 - Elementary Differential Equations
Math 413 - Introduction to Applied Mathematics
Summer 2010: GMU Math REU: REU10 website
Spring 2010: Math 685/CSI 700 - Numerical Analysis/Num. Methods Engr & Stat
Fall 2009: Math 677 - Ordinary Differential Equations
Summer 2009: GMU Math REU: REU09 website
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, 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