MARIA EMELIANENKO Postdoctoral Associate Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213 Office: 7218 Wean Hall email: masha@ cmu.edu webpage: http://www.math.cmu.edu/~masha

Curriculum Vitae: [pdf] Teaching Statement: [pdf] Research Statement: [pdf] List of Publications: [short]   [with abstracts] Teaching with Technology Portfolio Old teaching webpages

TEACHING

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).


RESEARCH

My research is in the area of applied mathematics with main focus on the analysis and development of efficient numerical algorithms. I've recently started studying theoretical and simulation aspects of grain growth in complex materials as part of the interdepartmental MRSEC initiative at CMU (MIMP). Other projects 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). My earlier research activities include the analysis 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.

PUBLICATIONS

1. (with D. Golovaty, D. Kinderlehrer, S. Ta’asan) "Towards a statistical theory of texture evolution", submitted to SIAM J. Sci. Comp., 2007

2. (with L. Ju and A. Rand) "Weak global convergence of the Lloyd method for computing centroidal Voronoi tessellations in R^d", submitted to SIAM J. Numer. Anal., 2007

3. (with D. Golovaty, D. Kinderlehrer, S. Ta'asan) Texture evolution via continuous time random walk theory, Center for Nonlinear Analysis, No. 06-CNA-011, 2006 [pdf]

4. (with D. Golovaty, D. Kinderlehrer, S. Ta'asan) "Grain boundary evolution: new perspectives", Center for Nonlinear Analysis, No. 06-CNA-010, 2006 [pdf]

5. (with Qiang Du) "Uniform convergence of a nonlinear energy-based multilevel quantization scheme via centroidal Voronoi tessellations", submitted to SIAM J. Numer. Anal., 2006

6. (with Qiang Du and Lili Ju) "Convergence properties of the Lloyd algorithm for computing the centroidal Voronoi tessellations",SIAM J. Numer. Anal., 44, Issue 1 (2006), 102-119 [pdf]

7. (with Zi-Kui Liu and Qiang 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]

8. (with Qiang Du) "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]

9. (with Qiang Du, Hyung-Chun Lee and Xiaoqiang 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 [pdf]

10. (with Qiang Du) "Uniform convergence of a multilevel energy-based quantization scheme", to appear in Lect. Notes Comput. Sci. Eng., in proceedings of the DD16 conference, Courant Inst., New York, 2005 [pdf]

11. "Multilevel and Adaptive Methods for Some Nonlinear Optimization Problems", Ph.D. thesis, Pennsylvania State University, 2005. [pdf]

12. (with Mohamed Yacoubi and Natarajan 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]

13. (with E.B. Dushanov 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

IN PREPARATION

1. (with Zi-Kui Liu and Qiang Du) "Automation of High-dimensional Phase Diagram Calculation"

2. (with Ludmil Zikatanov and Qiang Du) "Uniformly convergent two-dimensional nonlinear quantization scheme"

PRESENTATIONS

1. "Mathematical modeling and simulation of texture evolution", contributed talk, Joint AMS Meeting, Jan 4-8, 2007

2. "Toward a Statistical Theory of Texture Evolution", contributed talk, SIAM CSE07, Costa Mesa, CA, February 19-23, 2007

3. "Multidimensional Energy-based Multilevel Quantization Scheme and its Applications", invited talk, SIAM CSE07, Costa Mesa, CA, February 19-23, 2007

4. "Mathematical Modeling and Simulation of Texture Evolution", invited talk, Computational Mathematics Seminar, Univ. Pittsburgh, PA, Dec 5, 2006

5. "Mathematical Modeling and Simulation of Texture Evolution", invited presentation, A Conference on Applied Analysis on the Occasion of the 65th Birthday of David Kinderlehrer, CNA, CMU, Pittsburgh, PA, Oct 19 - 21, 2006

6. "Mathematical modeling and simulation of the grain boundary character distribution", invited poster presentation, Gordon Research Conference on Physical Metallurgy, Plymouth, NH, July 23-28, 2006
 First Place in Poster Competition, Travel Award

7. "Uniform convergence of a nonlinear energy-based multilevel quantization scheme via centroidal Voronoi tesselations", invited presentation, Joint MAA-SIAM Meeting, Auburn, AL, March 31-April 2, 2006

8. "A nonlinear energy-based multilevel quantization scheme", invited presentation, Frontiers in Nonlinear Analysis, CNA, CMU, Pittsburgh, Sept 8-10 ,2005

9. "Uniform convergence of a multilevel energy-based quantization scheme", invited presentation, Minisymposium on centroidal Voronoi tessellations, New Orleans, July 11-15 ,2005
 SIAM Student Travel Award

10. "A Nonlinear Energy-based Multilevel Quantization Scheme", invited presentation, XII Copper Mountain Conference on Multigrid Methods, Colorado, April 3-8, 2005
 Honorable Mention in the Student Paper Competition

11. "A New Algorithm for the Automation of Phase Diagram Calculation", invited talk, MCSD Seminar Series, NIST, Gaithersburg, MD, March 22, 2005

12. "Uniform Convergence of a Multigrid Enrgy-based Quantization Scheme", poster presentation, 16th International Conference on Domain Decomposition Methods, Courant Institute, NYU, January 12-15, 2005

13. "A New Algorithm for the Automation of Phase Diagram Calculation", poster presentation, NSF Division of Materials Research ITR Computational Workshop, UIUC, Urbana, IL, June 17-19, 2004