Applied Mathematics, Scientific Computing, Mathematical Modeling, Electrical Modeling and Characterization of Interconnect Packages, Dimension Reduction Method, Numerical Methods for Ill-Posed Problems, Asymptotic Methods, Boundary Integral Methods, Vortex Methods, Pseudo-Spectral Methods, Fluid Dynamics, Interfacial Instability, Partial Differential Equations, Grid-Free Numerical Methods

Refereed Journal Publications:

- Barannyk L.L, Papageorgiou D.T., Petropoulos P.G. and J.-M. Vanden-Broeck, Nonlinear dynamics and wall touch-up in unstably stratified multilayer flows in horizontal channels under the action of electric fields, SIAM J. Appl. Math. 75: 1 (2015) 92-113 .pdf

- Barannyk L.L., Aboutaleb H., Elshabini A. and Barlow F.,
Spectrally accurate causality enforcement using SVD-based Fourier
continuations for high speed digital interconnects, IEEE Trans. Comp. Packag. Manuf. Techn.,
(accepted) DOI: 10.1109/TCPMT.2015.2444388. .pdf

- Barannyk L.L and Panchenko A., Optimizing performance of the deconvolution model reduction for large ODE systems, IMA J. Appl. Math., (2014), doi: 10.1093/imamat/hxu042, first published online: September 18, 2014. .pdf

- Barannyk L.L., Aboutaleb H., Elshabini A., BarlowF.,
Causality verification using polynomial periodic continuations for
electrical interconnects, IMAPS
Journal of Microelectronics and Electronic Packaging, 11: 4 (2014) 181-196. .pdf

- Barannyk L.L. , Papageorgiou D.T. and Petropoulos P.G., Suppression of Rayleigh-Taylor instability using electric fields, Math. Comp. Simul., 82 (2012) 1008-1016. .pdf

- Panchenko A., Barannyk L.L., and Gilbert R. P. Closure method for spatially averaged dynamics of particle chains. Nonlinear Anal. Real World Appl., 12 (2011), 1681-1697. .pdf

- Lyudmyla L. Barannyk and Demetrios T. Papageorgiou. Fully
nonlinear gravity-capillary solitary waves in a two-fluid system of
finite depth. J. Engrg. Math. 42 (2002) 321-339. .pdf

- Lyudmyla L. Barannyk and Leonid F. Barannyk. On the classification of subalgebras of the Poincaré algebra AP(2,n). Dopov. Nats. Akad. Nauk Ukraïny 8 (1998) 17-20 (in Ukrainian).

- Lyudmyla L. Barannyk. Invariant solutions of a nonlinear system of differential equations for electromagnetic field. J. Nonlin. Math. Phys. 4: 3-4 (1997) 482-491.

- Wilhem I. Fushchych and Lyudmyla L. Barannyk. Symmetry reduction on subalgebras of the Poincaré algebra of a nonlinear system of differential equations of a vector field. Dopov. Nats. Akad. Nauk Ukraïny 8 (1997) 50-57 (in Ukrainian).

- Lyudmyla L. Barannyk. Symmetry reduction for a system of nonlinear evolution equations. J. Nonlinear Math. Phys. 3: 3-4 (1996) 447-452.

- Wilhem I. Fushchych and Lyudmyla L. Barannyk. Symmetry reduction as a method for generating solutions of systems of linear differential equations. Dopov. Nats. Akad. Nauk Ukraïny 12 (1996) 44-49 (in Ukrainian).

- Lyudmyla L. Barannyk. On symmetry reduction and exact solutions
of the linear one-dimensional Schrödinger equation. Dopov. Nats.
Akad. Nauk Ukraïny 9 (1996) 32-38 (in Ukrainian).

Peer Reviewed Proceedings papers:

- Hung Tran, Lyudmyla L. Barannyk, Aicha Elshabini and Fred Barlow,
A Study of Differential Signaling: Stable and Accurate Mixed-Mode
Conversion and Extraction of Differential S-Parameters, 2015 IEEE
Workshop on Microelectronics and Electron Devices, March 20, WMED 2015,
p. 24-27, 10.1109/WMED.2015.7093953. .pdf,
.pdf

- Lyudmyla L. Barannyk, Hazem Aboutaleb, Aicha Elshabini, Fred
Barlow, Causality Enforcement of High-Speed Interconnects via Periodic
Continuations, 47th International Symposium on Microelectronics, IMAPS
2014, Oct. 13-16, paper TP 26, p. 236-241. .pdf

- Arifeen, S., Wolemiwa, V., Nwoke, D., Barannyk, L., Potirniche, G.P., Elshabini, A., Barlow, F. Finite element analysis and fatigue life prediction of aluminum alloy braze for high temperature thermoelectric generator package assembly, International Mechanical Engineering Congress & Exposition (paper IMECE2014-38829), Toronto, Canada, November 14-20, 2014.

- Hazem Aboutaleb, Lyudmyla L. Barannyk, Aicha Elshabini, Fred
Barlow, Causality Enforcement of DRAM Package Models Using Discrete
Hilbert Transforms, 2013 IEEE Workshop on Microelectronics and Electron
Devices, WMED 2013, p. 21-24, 2013. .pdf

- Dalia Elgamel, Lyudmyla Barannyk, A. Elshabini, F. Barlow
Comparison of Passive Enforcement Techniques for DRAM Package Models,
2013 IEEE Workshop on Microelectronics and Electron Devices, WMED 2013,
p. 25-28, 2013.

Proceedings papers:

- Lyudmyla L. Barannyk, C.S. Bohun, M. Bolton, et al. Resistance Monitoring. Proceedings of the Sixth PIMS Industrial Problem Solving Workshop, University of British Columbia, (2002) 85-101.

- Lyudmyla L. Barannyk. Symmetry reduction of the Guerra-Pusterla equation by subalgebras of the central extension of the conformal algebra. Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos.19 (1998) 20-31. Symmetry and analytic methods in mathematical physics: Kyiv, Ukraine (in Ukrainian).

- Lyudmyla L. Barannyk. Symmetry reduction of a generalized complex
Euler equation for a vector field. Proceedings of the 2nd International
Conference "Symmetry in Nonlinear Mathematical Physics", July 7-13,
Kyiv, 1997. Symmetry in Nonlin. Math. Phys. 2 (1997)
455-462.

Submitted papers:

• Lyudmyla L. Barannyk, Alexander Panchenko, Kevin Cooper, Deconvolution closure for mesoscopic continuum models of particle systems, submitted to Journal of the Mechanics and Physics of Solids, preprint at arXiv:1109.5984.

• Basirat M., Potirniche G., Shrestha T., Barannyk L.L., Charit I., A combined creep-continuum damage model for high-temperature deformation and failure of Cr-Mo steel weldments, subm. to Int. J. of Damage Mechanics.

• Alexander Panchenko, Kevin Cooper, Andrei Kouznetsov and Lyudmyla L. Barannyk, Kinetic equation for spatially averaged molecular dynamics, submitted to Phys. Rev. Lett., preprint at arXiv:1401.2456.

Preprints:

• Lyudmyla L. Barannyk, Jurgen Frikel, and Linh V. Nguyen, On Artifacts in Limited Data Spherical Radon Transform: Curved Observation Surface, to be submitted to SIAM J Imaging Science.

• Lyudmyla L. Barannyk, Hung Tran, Linh V. Nguyen, Aicha Elshabini and Fred Barlow, Time Delay Estimation Using SVD-Based Causal Fourier Continuations for Passive Structures, to be submitted to IMAPS Journal of Microelectronics and Electronic Packaging.

• Peter Basarab-Horwath, Lyudmyla L. Barannyk and Wilhem I. Fushchych. Some exact solutions of a conformally invariant nonlinear Schrödinger equation. - Linköping, 1997. - 12p. - Preprint Linköping University, LiTH-MAT-R-97-11.

Papers in preparation:

• Lyudmyla L. Barannyk, Hung Tran, Pin-Jen Wang, Aicha Elshabini and Fred Barlow, A study of differential signaling: accurate and stable conversion and causality characterization of mixed-mode S-parameters, to be submitted to IMAPS Journal of Microelectronics and Electronic Packaging.

• Arifeen, S., Wolemiwa, V., Nwoke, D., Barannyk, L., Potirniche, G.P., Elshabini, A., Barlow, F. Finite element analysis and fatigue life prediction of aluminum alloy braze for high temperature thermoelectric generators.

• Potirniche, G.P., Barannyk, L. Finite element analysis of a thermoelectrical model for thermoelectric generators.

Invention Disclosures & Patents:

• Aboutaleb H.A., Barannyk L.L., and Barlow F., Spectrally Accurate Causality Enforcement using SVD-based Fourier Continuations for High Speed Digital Interconnects, an invention disclosure and provisional patent, 3/25/2014; U.S. Patent Application No. 14/667,428, 3/24/2015.

• Aboutaleb H.A., Barannyk L.L., and Barlow F., Causality verification and enforcement of microelectronic packages macromodels using discrete Hilbert transform on periodically continued data, an invention disclosure and provisional patent, 10/30/2013.

Ph.D. Dissertation:

Barannyk, L.L., Fully nonlinear interfacial waves in a bounded two-ﬂuid system, Ph.D. Dissertation, New Jersey Institute of Technology (2003), 158 p. .pdf

Invited and Contributed Talks/Seminars:

• Causality Enforcement of High-Speed Interconnects via Periodic Continuations, University of Idaho, Department of Mathematics Colloquium, December 4, 2014, Moscow, ID (Invited).

• Closure-Based Algorithms for Simulation of Mesoscale Evolution of Large ODE Systems, SIAM 2014 Annual Meeting, July 7-11, 2014, Chicago, IL (Invited).

• Causality Enforcement via Periodic Continuations for Package and On-Chip Interconnects, Micron Technology, Inc., April 17, 2014, Boise, ID (Invited).

• Fast algorithms for mesoscale evolution of large particle systems, SIAM Conference on Mathematical Aspects of Materials Science, (MS13), June 9-12, 2013, Philadelphia, Pennsylvania (Invited).

• Efficient algorithms for mesoscale dynamics of interacting particle systems, SIAM Annual Meeting, July 9-13, 2012, Minneapolis, Minnesota (Invited).

• Regularized deconvolution method for modeling mesoscale continuum equations for particle systems, Department of Mathematics Colloquium, University of Idaho, September 29, 2011 (Invited).

• Deconvolution closure for mesoscopic continuum models of particle systems, the Second Annual CAES Workshop on Modeling, Simulation and Visualization, Boise, Idaho, September 8-9, 2011 (Invited).

• Regularized deconvolution closure method for spatially averaged dynamics of particle chains, the Eighth Annual Conference on Frontiers in Applied and Computational Mathematics (FACM '11), June 9-11, 2011 (Invited).

• Fast algorithms for exploratory analysis of the dynamics of large systems of ODEs, L.L.Barannyk, A. Panchenko, Center for Advanced Energy Studies, February 8, 2011, Idaho Falls, ID (Invited).

• Spatially averaged dynamics, closure method and dimension reduction for discrete models of heterogeneous continua, L.L. Barannyk, A. Panchenko, Boise State University, Department of Mathematics Colloquium, February 7, 2011, Boise, ID (Invited).

• Suppression of Rayleigh-Taylor instability in the presence of horizontal electric fields, University of Idaho, Department of Mathematics Colloquium, November 4, 2010, Moscow, ID (Invited).

• Nonlinear Dynamics of Electrified Sheets in a Channel, L.L. Barannyk, D.T. Papageorgiou, and P.G. Petropoulos, 23rd Pacific Northwest Numerical Analysis Seminar, Washington State University, October 2, 2010, Pullman, WA (Invited).

• Suppression of Rayleigh-Taylor instability using electric fields, D.T. Papageorgiou, and P.G.~Petropoulos, 63th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 21--23, 2010, Long Beach, CA (Contributed).

• Gravity Capillary Interfacial Waves in a Channel in the Presence of Electric Fields, L.L.~Barannyk, D.T.~Papageorgiou, and P.G.~Petropoulos, the Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, March 22--26, 2009, Athens, GA (Invited).

• Dynamics of a two-fluid interface in a channel in the presence of electric fields, L.L.~Barannyk, D.T.~Papageorgiou, and P.G.~Petropoulos, 61st Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 23 - 25, 2008, San Antonio, TX (Contributed).

• Gravity-Capillary Traveling Waves under the Presence of the Electric Field, L.L.~Barannyk, Analysis Seminar, University of Idaho, Department of Mathematics, September 11, 2008 (Invited).

• Numerical Simulations of Density-Stratified Kelvin-Helmholtz Instability in a Channel, L.L.~Barannyk, Mathematics Colloquium, Washington State University, Department of Mathematics, February 7, 2008 (Invited).

• Evolution of Density Stratified Vortex Sheets in a Channel, L.L.~Barannyk, Applied Mathematics Seminar, University of Victoria, Department of Mathematics and Statistics, November 27, 2007 (Invited).

• Evolution of Vortex Sheets in a Channel, L.L.~Barannyk, AMS Annual Meeting, January5--8, 2007, New Orleans, LA (Contributed).

• Evolution of Strongly Nonlinear Solitary Waves in a Channel, L.L.~Barannyk, W.~ Choi and R.~Krasny, 59th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 19--21, 2006, Tampa, FL (Contributed).

• Dynamics of Density Stratified Vortex Sheets in an Channel}, L.L.~Barannyk and R.~Krasny, 2006 SIAM Annual Meeting, July 10--14, 2006, Boston, MA (Contributed).

• A Study of Vortex Sheet Motion with Density Stratification in an Inclined Channel, L.L.~Barannyk and R.~Krasny, Fluid Dynamics Seminar, New Jersey Institute of Technology, February 13, 2006 (Invited).

• Simulations of Density-Stratified Kelvin-Helmholtz Instability in the Inclined Channel, L.L.~Barannyk and R.~Krasny, 58th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 20--22, 2005, Chicago, IL (Contributed).

• Numerical Simulations of Kelvin-Helmholtz Instability in Slightly Stratified Fluid in the Channel, L.L.~Barannyk and R.~Krasny, The Second Conference on Frontiers in Applied and Computational Mathematics May 13--15, 2005, New Jersey Institute of Technology, Newark, NJ (Poster).

• Simulations of Density-Stratified Kelvin-Helmholtz Instability, L.L.~Barannyk and R.~Krasny, 2005 SIAM Annual Meeting, July 11--15, 2005, New Orleans, LA (Contributed).

• Numerical Simulations of Kelvin-Helmholtz Instability in Slightly Stratified Fluid in the Channel, L.L.~Barannyk and R.~Krasny, The First Conference on Frontiers in Applied and Computational Mathematics, May 21-22, 2004, New Jersey Institute of Technology, Newark, NJ (Poster).

• Singularity Formation in Vortex Sheets in a Channel, L.L.~Barannyk, R.~Krasny and D.T.~Papageorgiou, 57th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 21--23, 2004, Seattle, WA (Contributed).

• Study of the Singularity Formation in Vortex Sheets in a Channel, L.L.~Barannyk and R.~Krasny, 2004 SIAM Annual Meeting, July 12--16, 2004, Portland, OR (Contributed).

• Fully Nonlinear Gravity-Capillary Interfacial Waves in a Two-Fluid System of Finite Depth, L.L.~Barannyk, University of Michigan, Ann Arbor, Differential Equations Seminar, Ann Arbor, Michigan, USA, October 1, 2003 (Invited).

• Evolution of Vortex Sheets in a Channel, L.L.~Barannyk and R.~Krasny, 56th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 23--25, 2003, East Rutherford, NJ (Contributed).

• Fully Nonlinear Interfacial Waves in a Channel, L.L. Barannyk and D.T. Papageorgiou, Association for Women in Mathematics Minisymposium on Applications in Biology and Fluids at the First Joint Meeting of CAIMS \& SIAM, 24th Annual Meeting of CAIMS/SCMAI, June 16--20, 2003, Montreal, Quebec, Canada (Invited).

• Fully Nonlinear Interfacial Waves in a Bounded Two-Fluid System, L.L. Barannyk, Graduate Research Seminar Series, Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ, June 6, 2003 (Invited).

• Three-Dimensional Fully Nonlinear Interfacial Long Waves in a Bounded Two-Fluid System, L.L.~Barannyk and D.T.~Papageorgiou, 55th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 24-26, 2002, Dallas, TX (Contributed).

• Effect of the Surface Tension on the Fully Nonlinear Capillary-Gravity Waves of Bounded Two-Fluid Systems, L.L.~Barannyk, The Mathematics-Physics-Technical Section of the Shevchenko Scientific Society, November 9, 2002, New York, NY (Invited/Outreach).

• The Flow of an Evaporating Thin Film Liquid, L.L.~Barannyk, Graduate Research Seminar Series, Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, June 16, 2002 (Invited).

• The Flow of an Evaporating Thin Film Liquid, L.L.~Barannyk, The MITACS Third Annual General Meeting, May 23--25, University of British Columbia, Vancouver. Results are obtained during the "The Fifth PIMS Graduate Mathematics Modelling Camp", May 27--31, University of British Columbia, Vancouver, BC, Canada and presented at the Poster Session.

• Strongly Nonlinear Interfacial Waves of Two-Fluid System with the Surface Tension: Solitary and Traveling Waves}, L.L.~Barannyk and D.T.~Papageorgiou, 54th Annual Meeting of the Division of Fluid Dynamics, American Physical Society, November 18--20, 2001, San Diego, CA (Contributed).

• Some New Solitary Waves in Two-Fluid Flows and Their Connection to Elliptic Integrals, L.L.~Barannyk, Graduate Research Seminar Series, Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, NJ, July 10, 2001 (Invited).

• The Effect of Surface Tension on Strongly Nonlinear Interfacial Waves in a Channel, L.L.~Barannyk and D.T.~Papageorgiou, 53rd Annual Meeting of the Division of Fluid Dynamics, American Physical Society, Washington, DC, November 18--21, 2000 (Contributed).

• On an Algorithm for Classifying Subalgebras of the Poincaré Algebra AP(2,n), L.L.~Barannyk and L.F.~Barannyk, The International Congress of Mathematicians (ICM'98), Berlin, Germany, August 18-27, 1998 (Contributed).

• On Symmetry Reduction and Exact Solutions of a System of Nonlinear Differential Equations for Electromagnetic Field, L.L.~Barannyk, The Fifth All-Ukrainian Scientific Conference "New Approaches to Solving Differential Equations", Drohobych, Sept. 15--19, 1997 (Contributed).

• Symmetry Reduction of a Generalized Complex Euler Equation for a Vector Field, L.L.~Barannyk, The Second International Conference "Symmetry in Nonlinear Mathematical Physics", Institute of Mathematics, National Shevchenko University, Kyiv, Ukraine, July 7--13, 1997 (Contributed).

• Generation of Solutions to the Heat Equation by Using the Symmetry Reduction Method, L.L.~Barannyk, Acad. M. Kravchuk Fifth International Conference, Kyiv Polytechnic University, Kyiv, Ukraine, May 16--18, 1996 (Poster).

• Symmetry Reduction for a System of Nonlinear Evolution Equations, L.L. Barannyk, The First International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv, Ukraine, July 3--8, 1995 (Poster).

• Symmetry Analysis of a System of Nonlinear Evolution Equations, L.L. Barannyk, Acad. M. Kravchuk Fourth International Conference, Kyiv, Ukraine, May 11-12, 1995 (Poster).