April 23-26, 2019 - MRS Spring Meeting, Phoenix, Arizona
July 15-19, 2019 - ICIAM Meeting, Valencia, Spain
RESEARCH AREAS
My research is in the area of applied mathematics with main focus on modeling 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 2017, Spring 2016, Spring 2014, Spring 2011, Fall 2010, Fall
2008
Math 413 (senior) Introduction to Applied Mathematics - Fall 2010, Fall 2014, Fall 2017
Math 414 (senior) Introduction to Applied Mathematics II - Spring 2015, Spring 2018
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