9201 University City Blvd ● Charlotte, NC 28223-0001 ● 15107345375 ● asopasak@uncc.edu

Alexandros Sopasakis

1.
Noise driven behavior and evolving phenomena in hybrid systems: effects
of look-ahead advection, with M.A. Katsoulakis and A.J. Majda* *to appear.

2. Modeling highway traffic with stochastic dynamics, with (my undergraduate student) T. Alperovich, J.Stat.Phys, 133: 1083-1105, (2008).

3.
Convergence of hp-finite element schemes for
Vlasov--Poisson--Fokker--Planck system, with M. Asadzadeh, **8**(17), Mathematical Models and Methods in Applied Sciences,
08(17), pg. 1159-1182, 2007, (2007).

4. Stochastic modeling and simulation of multi-lane traffic, with N. Dundon, Transportation and Traffic Theory, pp. 661-691, (2006).

5.
Prototype hybrid couplings of macroscopic deterministic models and
microscopic stochastic lattice dynamics, with M.A. Katsoulakis and A.J.Majda,*
AMS Contemporary Mathematics*, 429, pp.
143-187, 2007.

6.
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.

7.
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.

8.
A nodal method for absorption - diffusion problems, with M. Asadzadeh, Applied and Computational Mathematics, **5**, No.
1 (2006).

9.
Error analysis of coarse-graining for stochastic lattice dynamics, with
M.A.Katsoulakis and P.Plechac, *SIAM J. on
Numerical Analysis*, to appear, 2006.

10. 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*.*

11. 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.

12. Stochastic
noise approach to traffic flow modeling, *Physica
A*, **342**, No. 3-4, (2004),
pp. 741-754.

13. 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.)

14. Unstable
flow theory and modeling, *Mathematical and
Computer Modelling*, **35** (2002), pp. 623-641. (Based on a
portion of dissertation)

15. 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.

16. 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)

17. 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.

18. 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.

1. Error control and analysis in coarse-graining of stochastic lattice dynamics, with M.A.Katsoulakis and P.Plechac, 2005, arXiv.org: math/0509228.

2. Convergence of hp-finite element schemes for Vlasov--Poisson--Fokker--Planck system, with M. Asadzadeh. Preprint 2003:50, Department of Mathematics, Chalmers, Goteborg.

3. On Fully Discrete Schemes for the Fermi Pencil-Beam Equation, with M. Asadzadeh. Preprint 2000:48, Department of Mathematics, Chalmers, Goteborg.

4. 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.

5. 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.