Recent Papers:
2007:
- Multiscale traffic flow models from microscopic stochastic dynamics,
SIAM J. on Applied Math., submitted 2007.
-
Modeling highway traffic with stochastic dynamics, with T. Alperovich,
Physical Review E, submitted 2007.
- Convergence of hp-finite element schemes for
Vlasov--Poisson--Fokker--Planck system, with M. Asadzadeh,
Mathematical Models and Methods, 08(17), to
appear 2007.
- Stochastic modeling and simulation of multi-lane traffic, with N.
Dundon,
Transportation and Traffic Theory, to appear 2007.
- 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 2007.
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.
- 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.
2005:
- 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.
2004:
2003:
2002:
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