publications

Alexandros Sopasakis

Department of Mathematics and Statistics
Lederle Graduate Research Tower, rm. 1426
University of Massachusetts
Amherst, MA 01003

Tel : (413) 545-0823	FAX: (413) 545 1801
e-mail : sopas@math.umass.edu	URL: http://www.math.umass.edu/~sopas/

Publications

Refereed journal articles:

Multiscale traffic flow models with microscopic stochastic lattice dynamics, submitted, SIAM J. on Applied Math., (2007)
Stochastic dynamics modeling of traffic, with T. Alperovich, submitted, Physical Review E, (2007)
Convergence of hp-finite element schemes for Vlasov--Poisson--Fokker--Planck system, with M. Asadzadeh, 8(17), Mathematical Models and Methods in Applied Sciences, to appear, (2007).
Stochastic modeling and simulation of multi-lane traffic, with N. Dundon, accepted, Transportation and Traffic Theory (2006).
Prototype hybrid couplings of macroscopic deterministic models and microscopic stochastic lattice dynamics, with M.A. Katsoulakis and A.J.Majda, AMS Contemporary Mathematics, to appear 2006.
Intermittency, matastability and coarse graining for coupled deterministic-stochastic lattice systems, with M.A. Katsoulakis and A.J. Majda, Nonlinearity, 19 (2006), pp. 1-27.
Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part II, stochastic closures, with M.A. Katsoulakis and A.J. Majda, Communications in Mathematical Sciences, 3, No. 3, (2005), pp. 453-478.
A nodal method for absorption - diffusion problems, with M. Asadzadeh, Applied and Computational Mathematics, 5, No. 1 (2006).
Error analysis of coarse-graining for stochastic lattice dynamics, with M.A.Katsoulakis and P.Plechac, SIAM J. on Numerical Analysis, to appear, 2006.
Stochastic modeling and simulation of traffic flow: ASEP with Arrhenius look-ahead dynamics, with M.A. Katsoulakis SIAM J. on Applied Mathematics, 66, No. 3, (2006), pp. 921-944.
Multiscale couplings in prototype hybrid deterministic/stochastic systems: Part I, deterministic closures, with M.A.Katsoulakis and A.J.Majda, Communications in Mathematical Sciences, 2, No. 2, (2004), pp. 255--294.
Stochastic noise approach to traffic flow modeling, Physica A, 342, No. 3-4, (2004), pp. 741-754.
Formal asymptotic models of vehicular traffic. Model closures, SIAM Journal on Applied Mathematics, 63, No. 5 (2003), pp. 1561--1584. (Based on a portion of dissertation.)
Unstable flow theory and modeling, Mathematical and Computer Modelling, 35 (2002), pp. 623-641. (Based on a portion of dissertation)
On Fully Discrete Schemes for the Fermi Pencil-Beam Equation, with M. Asadzadeh, Computer Methods in Applied Mechanics and Engineering 191, (2002), pp. 4641-4659.
The Prigogine-Herman kinetic model predicts widely scattered traffic flow data at high concentrations, with P. Nelson, Transportation Research B, 32, No. 8 (1998), pp. 589-604. (Transportation Research B is widely considered a leading journal in the area of the theory of vehicular traffic flow)

Other refereed publications:

The Chapman-Enskog Expansion: A Novel Approach To Hierarchical Extension Of Lighthill - Whitham Models, (with P. Nelson), in Transportation and Traffic Theory: Proceedings of the 14th International Symposium, A. Ceder (ed.), Pergamon, 1999, pp. 51-79.
The Generalized Bimodal Traffic Stream Model and Two Regime Flow Theory, (with P. Nelson and D.D. Bui), in Transportation and Traffic Theory: Proceedings of the 13th International Symposium, J.B. Lesort, (ed.), Pergamon, 1996, pp. 679-696.

Note: The above are invited papers, in the sense that the travel expenses of the presenting author are paid by the Organizing Committee.

PhD Dissertation:

Developments in the theory of the Prigogine-Herman kinetic equation of vehicular traffic, Department of Mathematics, advisor Paul Nelson, May 2000.

Preprints / Other publications:

Error control and analysis in coarse-graining of stochastic lattice dynamics, with M.A.Katsoulakis and P.Plechac, 2005, arXiv.org: math/0509228.
Convergence of hp-finite element schemes for Vlasov--Poisson--Fokker--Planck system, with M. Asadzadeh. Preprint 2003:50, Department of Mathematics, Chalmers, Goteborg.
On Fully Discrete Schemes for the Fermi Pencil-Beam Equation, with M. Asadzadeh. Preprint 2000:48, Department of Mathematics, Chalmers, Goteborg.
A Novel Traffic Stream Model Deriving from a Bimodal Kinetic Equilibrium, (with P. Nelson and D.D. Bui), 8th IFAC (International Federation of Automatic Control) Symposium on Transportation Systems, M. Papageorgiou and A. Pouliezos, (eds.), Crete, Greece, 1997, pp. 799-804.
Allen G.D. , Pitt, Jr W.W. , Sopasakis A.," Accounting for Boundary Layer Effects in the Modelling of Leaching from Monolithic Waste Forms," Texas-Mexico II Workshop on Numerical Particle Transport, College Station, Sept 1992.

Presentations

Brown University, Dept. of Math., Invited Speaker, Oct. 13, 2006.
Florida State University, Invited speaker, workshop Numerics for Stochastic Differential Equations with Applications, February 26-March 2, 2006.
University of Delaware, Web-casted Mini-course Invited Speaker, Multiscale modeling and simulation of Hybrid (deterministic-stochastic) systems.
URL: http://www.che.udel.edu/ccst/Dion_Short_Course/Short_Course.html, February 2006
Technical University of Dresden, Dresden, Germany, Colloquium Speaker, Jan. 9th, 2006.
Title: "Stochastic Trafic Flow Modeling".
University of Crete, Greece, Dec 9th, 2005.
Title: "Multiscale modeling and simulation of hybrid (deterministic-stochastic) systems".
HYKE-CFL Conference on Complex Flows, Analytical and Numerical Methods for Kinetic and Hydrodynamic Equations. Universitat Autonoma de Barcelona, Bellaterra, Spain. Oct. 2004.
University of New Orleans. Colloquium Seminar. April 2003.
Title: Formal Asymptotic models of vehicular traffic.
Chalmers Institute, Sweden. June 2002.
Title: Statistical Equilibrium Measures in Micromagnetics: Comparisons to Monte Carlo Simulations.
SIAM minisymposium co-organizer (with P. Nelson) Twenty speakers (six sessions), San Diego, 2001
Title: Mathematical and Computational Issues in Vehicular Traffic Flow.
SIAM annual meeting, July 9-13 2001.
Title: Unstable Traffic Flow Derivations
Oberwolfach, Germany. Asymptotic and Numerical Methods for Kinetic Equations, April 2001.
Title: On the Fermi pencil beam equations.
AMS annual meeting, Jan. 2001.
Title: Aspects of Solutions for the Prigogine-Herman Kinetic Equation of Vehicular Traffic
9th International Congress on Computational and Applied Math., Leuven, Belgium, July 2000
Title: On Fully Discrete Schemes for the Fermi Pencil-Beam Equation
Colloquium invited speaker, Univ. of Texas at Dallas, May 2000.
Title: Hydrodynamic-like traffic flow models based on the Prigogine-Herman nonlinear kinetic equation of vehicular traffic
SIAM annual meeting, Puerto Rico, May 2000.
Title: Existence and Uniqueness of a Local (in Time) Solution for the Prigogine-Herman Kinetic Equation of Vehicular Traffic
AMS meeting Austin, Texas, Oct. 1999 (with P. Nelson).
Title: Novel Results in the Kinetic Theory of Vehicular Traffic
16th International Conference on Transport Theory, Atlanta, May. 1999
Title: Resent Results on the Kinetic Theory of Vehicular Traffic (with P.~Nelson)
Poster Title: Further Results on the Kinetic Theory of the Prigogine-Herman Kinetic Equation of Vehicular Traffic.(with P.~Nelson)
SIAM annual meeting, Atlanta, Georgia, May, 1999.
Title: Deriving Hydrodynamic-like Equations Of Vehicular Traffic From Chapman - Enskog Asymptotic Expansions

Professional Activities

Permanent reviewer for American Mathematical Society (AMS).
Session Chair for IPAM workshop ``Mathematics of Subgrid-Scale Phenomena in Atmospheric and Oceanic Flows'', Jan. 28-Feb.5 2002, UCLA.
SIAM minisymposium co-organizer (with P. Nelson), July 2001, San Diego.
Referee for: SIAM Journal on Applied Mathematics, Journal of Transportation Research B, Journal Transport Theory and Statistical Physics, Journal Comm. Math. Sci..