Complete Curriculum Vita: [pdf]
PUBLICATIONS BY RESEARCH AREAS
- Mathematical aspects of materials science and engineering
1. K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer, and S. Ta'asan., "On a statistical
theory of critical events in microstructural evolution", Proc. of the 11th International Symposium on
Continuum Models and Discrete Systems (CMDS11), Paris, France, 30 July - 3 August 2007
2. 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[pdf]
3. 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[pdf]
4. M. Emelianenko, D. Golovaty, D. Kinderlehrer, S. Ta'asan, "Texture evolution via continuous time random walk theory", Center for Nonlinear Analysis, No. 06-CNA-011, 2006
5. M. Emelianenko, D. Golovaty, D. Kinderlehrer, S. Ta'asan, "Grain boundary evolution: new perspectives", Center for Nonlinear Analysis, No. 06-CNA-010, 2006
6. 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)[pdf]
- Voronoi tesselations. Theory and applications
1. M. Emelianenko, L. Ju, A. Rand, "Weak global convergence of the Lloyd method for computing centroidal Voronoi tessellations in R^d", SIAM J. Numer. Anal., 46 Issue 3 (2008), p.1423-1441 [pdf]
2. 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[pdf]
3. 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[pdf]
4. Q. Du, M. Emelianenko, "Acceleration schemes for computing the centroidal Voronoi tessellations", Numer. Linear Algebra Appl.,13, Issue 2-3 (Special Issue on Multigrid Methods) (2006), 173-192[pdf]
5. Q. Du, M. Emelianenko, H.-C. Lee and X. Wang, "Ideal point distributions, best mode selections and optimal spatial partitions via centroidal Voronoi tessellations", in proceedings of the 2nd International Symposium on Voronoi Diagrams in Sciences and Engineering, Seoul, Korea, Oct 2005 (VD2005), pp. 325-333, 2005
6. Q. Du, M. Emelianenko, "Uniform convergence of a multilevel energy-based quantization scheme", Lecture Notes in Comp.
Sci. Eng., 55, Widlund, Olof B.; Keyes, David E. (Eds.), Springer, Berlin (2007), p.533-541
- Other areas
1. 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)[pdf]
2. E.B. Dushanov, M.G. Emelianenko and G.Yu. Konovalova, "On formats of the representation of real numbers and algorithm for automatic declaration of constants of the computer real arithmetic", J. Comput. Meth. Sci. Eng., 2, issue 1-2 (2002), 57-62
3. G.A. Emelyanenko, V.N. Samoilov and M.G. Emelianenko, "The uncertainty principle in numerical linear
algebra", in International Conference on Computational
Mathematics. Part I, II, (2002), 104--106, ICMMG, Novosibirsk
4. G.A. Emel'yanenko, M. Emelianenko, T.T. Rakhmonov, E.B. Dushanov, G.Yu. Konovalova, "On
effciency of critical-component method for solving singular and ill-posed systems of linear algebraic
equations", arXiv:math/0108074, 2001
- Papers in preparation:
1. "Automation of high-dimensional phase diagram calculation", with Zi-Kui Liu and Qiang Du.
2. "Uniformly convergent two-dimensional nonlinear quantization scheme", with Ludmil Zikatanov and Qiang Du.