63 - A. Arnold, I.M. Gamba, M.P. Gualdani and C. Sparber, The Wigner-Fokker-Planck equation: Stationary states and large time behavior. In preparation

62- I.M. Gamba, M.P. Gualdani and R. Sharp, An Adaptable Discontinuous Galerkin Scheme for the Wigner-Fokker-Planck Equation, submitted for publication (2008).

61- M. Bostan, I. M. Gamba, T. Goudon and  A. Vasseur, Boundary Value Problems for the Stationary Vlasov-Boltzmann-Poisson Equation, submitted for publication (2008).

60- Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Discontinuous Galerkin Solver for Boltzmann-Poisson transients, to appear in Journal of Computational Electronics, (2007)

59 - R. Alonso and I.M.Gamba, L¹-L^∞ Maxwellian bounds for the derivatives of the solution of the homogeneous Boltzmann equation. Journal de Mathematiques Pures et Appliquees, (9) 89 (2008), no. 6, 575--595

58 - I.M. Gamba and Sri Harsha Tharkabhushaman, Spectral - Lagrangian based methods applied to computation of Non - Equilibrium Statistical States. To appear in Jour. Computational Physics, (2008).

57 - Yingda Cheng, Irene M. Gamba, Armando Majorana and Chi-Wang Shu, Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation, Simulations of Semiconductor Processes And Devices, Vol 12, Springer Wien New York, Edited by T. Grasser and S. Selberherr September 2007; 257-260 (2007).

56 - I.M. Gamba and Jennifer Proft, Stable Discontinuous Galerkin Schemes for Linear Vlasov-Boltzmann Transport Equations. Submitted for publication (2007).

55- I.M. Gamba, M.P. Gualdani and Ping Zhang, On the blowing up of solutions to the quantum hydrodynamic equations in a bounded domain, to appear in Monatshefte Matematik (2007)

54 - I.M. Gamba, V. Panferov and C. Villani, Upper Maxwellians bounds for the spatially homogeneous Boltzmann equation. arXiv:math/0701081v1 [math.AP], Arch.Rat.Mech.Anal. (2008), to appear.

53 - M.J.Caceres, J.Carrillo, I.M.Gamba, A.Majorana and C.W.Shu, Deterministic kinetic solvers for charged particle transport in semiconductor devices in Transport Phenomena and Kinetic Theory.? Applications to Gases, Semiconductors, Photons, and Biological Systems Series: Modeling and Simulation in Science, Engineering and Technology. Cercignani, Carlo and Gabetta, Ester (Eds.) (2007).

52 - M.J.Caceres, J.Carrillo, I.M.Gamba, A.Majorana and C.W.Shu, DSMC Versus WENO-BTE: a Double Gate MOSFET Example. Journal of Computational Electronics, Volume 5, Number 4 - December, (2006) 471-474.

51 - A.V. Bobylev, C. Cercignani and I. M. Gamba, Generalized Maxwell models and self-similar asymptotics, to appear in Comm. Mathematical Physics.

50 - A.V. Bobylev, C. Cercignani and I. M. Gamba, Generalized kinetic Maxwell models of granular gases; Mathematical models of granular matter Series: Lecture Notes in Mathematics Vol.1937, Springer, G. Capriz, P. Giovine and P. M. Mariano (Eds.) (2008) ISBN: 978-3-540-78276-6 .

49 - A.V. Bobylev and I. M. Gamba, Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. J. Stat. Phys. 124, no. 2-4, 497--516. (2006).

48 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, 2D non-stationary Boltzmann- Poisson Systems: DSMC versus A WENO-Boltzmann scheme, J. Comput. Phys. 214 (2006), no.1, 55-80

47 - Jing Shi, I.M. Gamba, A Unitary Hermite Spectral Method for Quantum Liouville-von Neumann Equation. Preprint (2005).

46 - I.M. Gamba, S. Rjasanow and W. Wagner, Direct simulation of the uniformly heated granular Boltzmann equation. Math. Comput. Modelling 42 (2005), no. 5-6, 683--700.

45 - A.V. Bobylev, I.M. Gamba and V. Panferov, Moment inequalities and high-energy tails for Boltzmann equations wiht inelastic interactions, J. Statist. Phys. 116, no. 5-6, 1651?1682.(2004).

44 - I.M. Gamba, V. Panferov and C. Villani, On the Boltmann Equation for diffusively excited granular media, Commun. Math. Phys. 246, 503-541 (2004).

43 - N. Ben Abdallah, I.M. Gamba and A. Klar, The Milne problem for high field kinetic equations , SIAM J. Appl. Math. Vol.64 No.5, pp. 1709-1736 (2004).

42 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A direct solver for 2D nonstationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET simulation by WENO-Boltzmann schemes, Journal of Computational Electronics, 2: 375-380 (2005).

41 - Luis Caffarelli, Valentino Crespi, George Cybenko, Daniela Rus, Irene M. Gamba, Stochastic Distributed Algorithms for Target Surveillance. Proceedings of? Intelligent Systems and Design Applications (ISDA2003), Tulsa, Oklahoma, August, 2003.

40 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A WENO-solver transients of Boltzmann?Poisson system for semiconductor devices. Performance and Monte Carlo comparisons, Journal of Computational Physics, Vol 184, no. 2, 498?525, (2003).

39 - Gamba, V. Panferov and C. Villani, On the inelastic Boltzmann equation with diffusive forcing. Nonlinear problems in mathematical physics and related topics, II, In Honor of Professor O.A. Ladyzhenskaya 179?192, Int. Math. Ser. (N. Y.), 2, Kluwer/Plenum, New York,(2002).

38 - K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Representing and Analysing Adaptive Decision Making Frameworks. Agent Autonomy, Kluwer series: Multi-Agent Systems, Artificial Societies, and Simulated Organizations, Gerhard Weiss (editor), Chapter 3,? (2003). (Workshop on Autonomy Oriented Computation (AOC), (invited) 5th International Conference on Autonomous Agents, pp. 12-20, May 28-June 1, 2001, Montreal, Canada.)index.html

37 - K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Analysis of Adaptive Decision-Making Frameworks: Motivation for Adjusting Autonomy through Decision-Making Control. Proceedings for the IJCAI-01 Workshop on Autonomy, Delegation, and Control: Interacting with Autonomous Agents. pp. 9-13, August 4-10, (2001), Seattle, WA.

36 - J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A WENO-solver for the 1D non-stationary Boltzmann?Poisson system for semiconductor devices. Journal of Computational Electronics, v1 (2002), pp.365-370.

35 - N. Ben Abdallah, P. Degond and I. Gamba, Hybrid-quantum-kinetic models for the coupling kinetic and quantum effect., J. Math. Phys. 43 (2002), no. 1, 1?24.(2002).

34 - I.M. Gamba and A. Jungel, Asymptotic limits for Quantum Trajectory Models, Comm. Partial Differential Equations 27 (2002), no. 3-4, 669?691.(April, 2002).

33 - J.A. Carrillo, I.M. Gamba, O. Muscato and C.W. Shu, Comparison of Monte Carlo and deterministic simulations of a silicon diode, Simulation of Transport in Transition Regimes, (Minneapolis, MN, 2000), 75?84, IMA Vol. Math. Appl., 135, Springer, New York, 2004

32 - A.V. Bobylev, J.A. Carrillo and I.M. Gamba, Erratum on: ?On some properties of kinetic and hydrodynamic equations for inelastic interactions?, Journal Stat. Phys., vol. 103, no. 5?6, 1137?1138 (2001).

31 - M.A. Anile, J.A. Carrillo, I.M. Gamba and C.W. Shu, Approximation of the BTE by a relaxation-time operator: simulations for a 50nm-channel Si diode, VLSI Design Journal 13, 349-354 (2001)

30 - C. Cercignani, I.M. Gamba, C.L. Levermore, A Drift-Collision Balance asymptotic for a Boltzmann-Poisson System in Bounded Domains, SIAM J. Appl. Math., Vol 61, No. 6, pp 1932-1958, (2001).

29 - I.M. Gamba and A. Jungel, Positive solutions to singular second and third order differential equations for quantum fluids, Arch. Ration. Mech. Anal. 156, no. 3, 183?203 (2001).

28 - P. Amster, I.M. Gamba, M.C. Mariani, and P. Varela, Solutions to transonic nonisentropic charged transport hydrodynamic systems in bounded domains, preprint (2000)

27 - J.A. Carrillo, C. Cercignani and I.M. Gamba, Steady states of a Boltzmann equation for driven granular media, Phys. Rev. E (3) 62 (2000), no. 6, part A, 7700?7707. 27.

26 - N. Ben Abdallah, P. Degond and I. Gamba, Inflow boundary conditions for the time dependent one-dimensional Schroedinger equation, C. R. Acad. Sci. Paris Sr. I Math. 331 (2000), no. 12, 1023?1028

25 - C. Cercignani, I. Gamba, J. Jerome and C.-W. Shu, A domain decomposition method: a simulation study, in Proceedings of 1998 Sixth International Workshop on Computational Electronics (IWCE-6), Osaka University, Japan, October 19-21, 1998, IEEE Catalog Number 98EX116, pp.174?177 (1998).

24 - J.A. Carrillo, I.M. Gamba and C.W. Shu, Computational macroscopic approximations to the 1-D relaxation-time kinetic system for semiconductors, Physica D 146, 289?306 (2000).

23 - Arnold , J.A. Carrillo, I. Gamba and Chi-Wang Shu, Low and High Field Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck Systems, Transp. Theory Stat. Phys 30 (2&3), 121-153 (2001).

22 - A.V. Bobylev, J.A. Carrillo and I.M. Gamba, On some properties of kinetic and hydrodynamic equations for inelastic interactions, Journal Stat. Phys., vol. 98, no. 3?4, 743?773, (2000).

21 - I.M. Gamba, Milne Problem for strong force scaling, Nonlinear partial differential equations (Evanston, IL, 1998), 127?132, Contemp. Math., 238, Amer. Math. Soc., Providence, RI, (1999).

20 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, A Domain Decomposition Method for Silicon Devices, Transport Theory and Statis. Phys., vol. 29, (3?5), 525?536 (2000).

19 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Device Benchmark Comparisons via Kinetic, Hydrodynamic, and High-Field Models, Computer Methods in Applied Mechanics and Engineering, 381?392 (2000).

18 - I.M. Gamba, R. Rosales and E. Tabak, Constraints for formation of singularities for the small disturbance transonic flow equations, Comm. Pure Appl. Math, 52 no. -6, 763?779 (1999).

17 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Applicability of the high field model: A preliminary numerical study, Proceedings of Fifth InternationalWorkshop on Computational Electronics (1997), Notre Dame, Indiana. VLSI DESIGN, vol. 8 (1?4), 135?141 (1998).

16 - C. Cercignani, I.M. Gamba, J. Jerome and C-W Shu, Applicability of the high field model: An analytical study via asymptotic parameters defining domain decomposition. Proceedings of Fifth International Workshop on Computational Electronics (1997), Notre Dame, Indiana. VLSI DESIGN, vol. 8 (1?4), 275?282 (1998).

15 - I.M. Gamba, Higher order asymptotic boundary conditions for an oxide region in a semiconductor device, ?Wavelet Theory and Harmonic Analysis in Applied Sciences?, edited by C.E. D?Attellis and E.M. Ferna?ndez-Berdaguer, Birkhauser, 1997 (ISBN 0-8176-3953-5, ISBN 3-7643-3953-5) 301?313 (1997).

14 - I.M. Gamba and C.S. Morawetz, Viscous approximation to transonic gas dynamics: flow past profiles and charged-particle systems, Modeling and Computation for Applications in Mathematics, Science and Engineering (Evanston, Il, 1996), Clarendon Press, Oxford, 81?102, (1998).

13 - C. Cercignani, I.M. Gamba and C.D. Levermore, High field approximations to a Boltzmann-Poisson system boundary conditions in a semiconductor, Applied Math Letters, vol. 10 (4), 111?118, (1997).

12 - I.M. Gamba, Sharp uniform speed bounds for steady potential fluid-Poisson systems, Proceedings of the Royal Academy of Edinburgh, vol. 127A, 479?516 (1997).

11 - I.M. Gamba, Steady Potential Fluid-Poisson systems: Theoretical results in 2-dimensional geometries, Proceedings of ICIAM 95 - Applied Analysis Volume (1997)

10 - I.M. Gamba and C.S. Morawetz, A viscous approximation for a 2D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow. Communications in Pure and Applied Mathematics, vol. 49 (10) 999?1049 (1996).

9 - I.M. Gamba, An existence and uniqueness result for a nonlinear 2-dimensional elliptic boundary value problem, Communications in Pure and Applied Mathematics, vol. XLVIII, 669?689 (1995).

8 - I.M. Gamba, Viscosity approximating solutions to ODE systems that admit shocks, and their limits. Advances in Applied Mathematics, vol. 15, 129?182, (1994).

7 - I.M. Gamba, Boundary layer formation for viscosity approximations of transonic flow, Physics of Fluids A., vol. 4(3), 486?490 (1992).

6 - I.M. Gamba, Stationary transonic solutions for a one-dimensional hydrodynamic model for semiconductors, Comm. Partial Differential Equations, vol. 17 (3,9), 553?577 (1992).

5 - I.M. Gamba, Asymptotic boundary conditions for an oxide region in a semiconductor device, Asymptotic Analysis Journal, vol. 7, 37?48 (1993).

4 - I.M. Gamba, Behavior of the potential at the pn-Junction for a model in semiconductor theory, Appl. Math. Lett., vol. 3, 59?63 (1990).

3 - I.M. Gamba, Asymptotic behavior at the boundary of a semiconductor device in two space dimensions, based on the thesis dissertation.(Istituto di Analisi Numerica del C.N.R. Pub.N.740. Pavia, Italy (1990)). Ann. di Mat. Pura App. (IV) Vol. CLXIII, 43?91, (1993).

2 - I.M. Gamba and M.C.J. Squeff, Simulation of the transient behavior of a one dimensional semiconductor device II, SIAM of J. Numer. Anal., vol. 2, 539?552 (1989).

1 - J. Douglas Jr., I.M. Gamba and M.C.J. Squeff, Simulation of the transient behavior of a one dimensional semiconductor device, Mat. Apl. Comput., vol. 5, 103-122 (1986).

Editorial review work

1.      (Review) Dispersive transport equations and multiscale models, The IMA Volumes in Mathematics and its Applications Series , edited by Arnold, Anton; Ben Abdallah, Naoufel; Degond, Pierre;Gamba, Irene M.; Glassey, Robert T.;Levermore, C. David; Ringhofer, Christian. Papers from the Workshops `Dispersive Corrections to Transport Equations’, held May 1-5, `Simulation of Transport in Transition Regimes’, held May 22-26 and Multiscale Models for Surface Evolution and Reacting Flows’, held June 5-9, in Minneapolis, MN, 2000, The IMA Volumes in Mathematics and its Applications, Vol 136, Springer-Verlag, New York, pp. 292 (2004).

2.      (Review) Transport in transition regimes, The IMA Volumes in Mathematics and its Applications Series, edited by Arnold, Anton; Ben Abdallah, Naoufel; Degond, Pierre;Gamba, Irene M.; Glassey, Robert T.;Levermore, C. David; Ringhofer, Christian. Papers from the Workshops `Dispersive Corrections to Transport Equations’, held May 1-5, `Simulation of Transport in Transition Regimes’, held May 22-26 and `Multiscale Models for Surface Evolution and Reacting Flows’, held June 5-9, in Minneapolis, MN, 2000. The IMA Volumes in Mathematics and its Applications, Vol 135, Springer-Verlag, New York, pp. 298 (2004),