Research interests:
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.
5: 7 (2015) 991-1005 .pdf
- Barannyk L.L., Tran* H.H., Elshabini A., Barlow F., Time Delay
Extraction from Frequency Domain Data Using Causal Fourier
Continuations for High-Speed Interconnects, Electronics, 4 (2015) 799-826. .pdf
- Basirat M., Shrestha T., Barannyk L.L., Gabriel P.
Potirniche G.P. and Charit I. A Creep Damage Model for
High-Temperature Deformation and Failure of 9Cr-1Mo Steel Weldments, Metals, 5 (2015) 1487-1506. .pdf
- Barannyk L.L and Panchenko A., Optimizing performance of the
deconvolution model reduction for large ODE systems, IMA J. Appl. Math., 80: 4 (2015) 1099-1123, 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:
- Barannyk L.L., Tran* H.H., Nguyen L.V., Elshabini A., Barlow F.,
Time Delay Estimation Using SVD-Based Causal Fourier Continuations for
High Speed Interconnects, 2015 IEEE
24th Conference on Electrical Performance of Electronic Packaging and
Systems, Oct. 25-28, 2015, San Jose, California, accepted for
oral presentation and will be published in conference proceedings.
- 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, 2014, 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, Jurgen Frikel, Linh V.
Nguyen, On Artifacts in Limited Data Spherical Radon Transform: Curved
Observation Surface, submitted to Inverse
Problems, preprint
arXiv:1507.00082. .pdf
- Barannyk L.L., Tran H.H., Elshabini A., Barlow F., Time Delay
Extraction from Frequency Domain Data Using Causal Fourier
Continuations for High-Speed Interconnects, submitted to Electronics, preprint at arXiv:
submit/1332900. .pdf
- 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. .pdf
- 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. .pdf
- Potirniche G.P., Barannyk L.L., A Novel Potential Variable Finite
Element Implementation and Simulations of Thermoelectric Generators,
submitted to Journal of Electronic
Materials.
Preprints:
• 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,.
• 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).