Home Publications Research Teaching Portfolio Links

Complete Curriculum Vita: [pdf]

PUBLICATIONS BY RESEARCH AREAS

  • Mathematical aspects of materials science, chemistry and engineering

    • A. Sazo, C. Torres, P. Ibarra, A. Sanhueza, F. Casas, M. Emelianenko, D. Golovaty, ``Evolution of two-dimensional grain boundary networks implemented in GPU'', Comp. Mat. Sci., vol. 160 (2019), pp. 315--333 [pdf]

    • A. Sazo, C. Torres, M. Emelianenko, D. Golovaty, ``A Vertex Model of Recrystallization with Stored Energy Implemented in GPU'', Mater. Res. Express, vol. 6, 055506 (2019) [pdf]

    • D. Torrejon, M. Emelianenko, "Generalized master equations for random walks with time-dependent jump sizes'', SIAM J. Appl. Math., vol. 78, No.3 (2018) p.1330-1349 [pdf]

    • K. Saleme Ruiz, M. Emelianenko, ''The role of topology in microstructure-property relations: a 2D DEM-based study", Modelling Simul. Mater. Sci. Eng., vol. 26 (2018) 014001 [pdf]

    • D. Torrejon, M. Emelianenko, D. Golovaty, "Continuous time random walk based theory for a one-dimensional coarsening model", J. Ellip. Parab. Eq., vol. 2 (2016), p. 183--199 [pdf]

    • R. Otis, M. Emelianenko, Z-K. Liu, "Efficient sampling strategies for global energy minimization of multi-component phases with internal degrees of freedom", Comp. Mat. Sci. , vol. 130 (2017) p.282-291 [pdf]

    • I. Yegorov, M. Emelianenko, "A kinetic approach to modeling general-texture evolution in two-dimensional polycrystalline grain growth", Comp. Mat. Sci., vol. 125 (2016), p.224--242 [pdf]

    • I. Yegorov, C. Torres, M. Emelianenko, "A Boltzmann-type kinetic model for misorientation distribution functions in two-dimensional fiber-texture polycrystalline grain growth", Acta Materialia, 109 (2016) p. 230--247 [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R. Sharp, S. Ta'asan, "Recent Developments in Material Microstructure: a Theory of Coarsening'', Mater. Res. Soc. Symp. Proc., Cambridge Journals, 1753 (2015) [pdf]

    • C.Torres, M. Emelianenko, D. Golovaty, D. Kinderlehrer, S.Ta'asan, "Numerical analysis of the vertex models for simulating grain boundary networks", SIAM J. Appl. Math., 75(2) (2015), p. 762--786 [pdf]

    • J. Snider, I. Griva, X. Sun, M. Emelianenko "Set-based framework for Gibbs energy minimization", CALPHAD, 48, (2015), p. 18--26 [pdf]

    • M. Emelianenko, D. Torrejon, M. DeNardo, A. Socolofsky, A. Ryabov, T. Collins, ''Estimation of Rate Constants in Nonlinear Reactions Involving Chemical Inactivation of Oxidation Catalysts'', J. Math. Chem., 52, Issue 5 (2014), p. 1460--1476 [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R.Sharp, and S.Ta'asan, "Materials microstructures: entropy and curvature driven coarsening", RIMS Proceedings, U. Kyoto, 1881, p. 71-91 (2014) [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R.Sharp, and S.Ta'asan, "Predictive theory for the grain boundary character distribution", Materials Science Forum, 715-716, 2012, p.279--285 (Special Issue on ReX and GG IV) [pdf]

    • 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) [pdf]
      Viewpoint by R. Kohn

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R. Sharp, S. Ta'asan, "An entropy based theory of the grain boundary character distribution", DCDS-A, Vol. 30, no. 2 (2011), p.427--454 [pdf]

    • M. Atkins (mentors: D. Anderson, M. Emelianenko, Y.Mishin) "A Method of Calculating the Thickness of a Solid-Liquid Interface", SIAM Undergraduate Research Online, Vol. 3, 2010 [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, S. Ta'asan, "Geometric growth and character development in large metastable systems", Rendiconti di Matematica, Serie VII, 29, Roma (2009), p.65--81 [pdf]

    • 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 [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R. Sharp, S. Ta'asan, "An Entropy Based Theory of the Grain Boundary Character Distribution", Center for Nonlinear Analysis, No. 11-CNA-001, 2011 [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R. Sharp, "Critical Events, Entropy, and the Grain Boundary Character Distribution", Center for Nonlinear Analysis, No. 10-CNA-014, 2010 [pdf]

    • K. Barmak, E. Eggeling, M. Emelianenko, Y. Epshteyn, D. Kinderlehrer, R. Sharp, S. Ta'asan, "Predictive Theory for the Grain Boundary Character Distribution", Center for Nonlinear Analysis, No. 10-CNA-013, 2010 [pdf]

    • K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer, S. Ta'asan, "On a statistical theory of critical events in microstructure evolution", Center for Nonlinear Analysis, No. 07-CNA-005, 2007 [pdf]

    • 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 [pdf]

    • 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 [pdf]

    • 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 [pdf]

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

    • 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

    • J. Zhang, M. Emelianenko, Q. Du, "Periodic centroidal Voronoi tessellations", Intern. J. Num. Anal. Modeling, 9, p.950-969 (2012) [pdf]

    • Z.Di, M. Emelianenko, S. Nash, "Truncated Newton-based multigrid algorithm for centroidal Voronoi calculation", Numer. Math. Theor. Meth. Appl., 5, No. 1 (2012), pp. 242-259 [pdf]

    • M. Emelianenko, "Fast Multilevel CVT-based Adaptive Data Visualization Algorithm", Numer. Math. Theor. Meth. Appl., 3, No. 2 (2010), p.195-211 [pdf]

    • 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]

    • 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]

    • 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]

    • 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]

    • 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 [pdf]

    • 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 [pdf]


  • Climate/geoscience applications

    • Z. Di, V. Maggioni, Y. Mei, M. Vazquez, P. Houser, M. Emelianenko,``CVT-based methods for optimal rain gauge location prediction'', J. Hydrology, vol. 584, 124651 (2020) [pdf]

    • Refereed book chapter: M. Emelianenko, V. Maggioni, ``Mathematical Challenges in Measuring Variability Patterns For Precipitation Analysis'', Springer ``Mathematics of Planet Earth'' (2019) [pdf]

  • Math biology, bioinformatics and biomedical applications

    • T. Phan, C. DeMarino, F. Kashanchi, D. Anderson, M. Emelianenko, ''Characterizing Transcriptional Dynamics of HIV-1 in T-cells and Macrophages Using a Three-State LTR Model'', Letters in Bioinformatics, vol. 8, no. 1 (2021)[open access]

    • T. Oellerich, M. Emelianenko, L. Liotta, R. Araujo, "Biological networks with singular Jacobians: their origins and adaptation criteria" (2021) [BioRxiv]

    • E. Baldelli, M. Subramanian, A. Alsubaie, G, Oldaker, M. Emelianenko, E. Gazzah, S. Baglivo, K. Hodge, F. Bianconi, V. Ludovini, L. Crino, E. Petricoin, M. Pierobon, ``Heterogeneous Off-Target Effects of Ultra-Low Dose Dimethyl Sulfoxide (DMSO) on Targetable Signaling Events in Lung Cancer In Vitro Models'', Int. J. Mol. Sci. vol. 22(6), 2819 (2021) [pdf]

    • T. Phan, C. DeMarino, F. Kashanchi, Y. Kuang, D. Anderson, M. Emelianenko, "Mathematical analysis and potential therapeutic implications of a novel HIV-1 model of basal and activated transcription in T-cells and macrophages" (2020) [ArXiv]

    • C. DeMarino, M. L. Pleet, D. Pinto, M. Cowen, J. Erickson, S. S. Docken, N. Russel, B. Reichmuth, T. Phan, Y. Kuang, D. Anderson, M. Emelianenko, F. Kashanchi, ``Differences in Transcriptional Dynamics Between T-cells and Macrophages as Determined by a Three-State Mathematical Model'', Nature Scientific Reports, vol. 10, 2227 (2020) [pdf]

    • A. Baranova, J. Bode, G. Manyam, M. Emelianenko, "An efficient algorithm for systematic analysis of nucleotide strings suitable for siRNA design", BMC Res. Notes, 4(1):168 (2011) [pdf]

  • Quantum computing

    • Xavier Gitiaux, Ian Morris, Maria Emelianenko, Mingzhen Tian, "SWAP Test for an Arbitrary Number of Quantum States", https://arxiv.org/abs/2110.13261, 2021, [pdf]

  • Linear algebra and applications

    • 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]

    • 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

    • 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 [pdf]

    • 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


  • Books:

    M. Emelianenko, "Multilevel and adaptive methods for nonlinear optimization problems", VDM-Verlag, ISBN 978-3-639-22436-8, 2010 [Amazon link]