
Irene M Gamba
Professor, Core Faculty, Oden Institute
Department of Mathematics, Oden Institute
W. A. "Tex" Moncrief, Jr. Chair in Computational Engineering and Sciences IIIApplied Mathematical and statistical physics, numerical analysis and computational methods, Integrodifferential statistical flow models.

Ph.D., University of Chicago (1989)
Research Interests
Applied and Computational analysis, Mathematical and Statistical Physics, nonlinear Kinetic and Partial Differential Equations.
Member of the Applied Mathematics Group at The Institute for Computational Engineering and Sciences (ICES)

124 I.M. Gamba, S. Jin, L. Liu; Micromacro decomposition based asymptoticpreserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations;
ArXiv:1809.00028, Submitted for Publication (2018).123 R.J. Alonso, I.M.Gamba and M. Taskovic; Exponentiallytailed regularity and time asymptotic for the homogeneous Boltzmann equation;
ArXiv:1711.06596v1, Submitted for Publication (2018).122 I.M.Gamba and Cheng Yu; Global weak solutions to compressible NavierStokesVlasovBoltzmann systems for spray dynamics
ArXiv:1806.04567, Submitted for Publication (2018).121 I.M.Gamba; Commentary: Three decades after Cathleen Synge Morawetz's paper "The mathematical approach to the sonic barrier'';
Bull. Amer. Math. Soc. (N.S.) 55 (2018), no. 3, 347–350.120 I.M.Gamba and M. PavicColic; On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures;
ArXiv:1806.09331v1, Submitted for Publication (2018).119 J.A. Morales Escalante, I.M.Gamba, E. Endeve and C. Hauck; Positivity preserving DG schemes for a Boltzmann  Poisson model of electrons in semiconductors in curvilinear momentum coordinates;
ArXiv:1711.03949v1.118 I.M.Gamba, L.Smith and M.B.Tran; On the wave turbulence theory for stratified flows in the ocean;
ArXiv:1709.08266v3, Submitted for Publication (2018).117 I.M.Gamba and S. Rjasanow; GalerkinPetrov approach for the Boltzmann equation;
ArXiv:1710.05903, Journal of Computational Physics V. 366, (2018) 341365.116 I.M.Gamba, N. Pavlovic and M. Taskovic; On pointwise exponentially weighted estimates for the Boltzmann equation;
Submitted for Publication (2017).115 C. Zhang and I.M.Gamba; A Conservative Discontinuous Galerkin Solver for Homogeneous Boltzmann Equation ;
to appear in SIAM J. Numerical Analysis, (2018)114 A. Bobylev, I.M. Gamba, C.Zhang; On the rate of relaxation for the Landau kinetic equation and related models,
Journal of Statistical Physics, 168(3), 535548 (2017).113 I.M. Gamba; J.R. Haack, C.D.Hauck and J.Hu; A fast spectral method for the Boltzmann collision operator with general collision kernels ,
ArXiv:1610.00397 [math.NA]. SIAM J. Sci. Comp, Vol. 39, No. 4, pp. B658–B674, (2017).112 R.J.Alonso; I.M.Gamba, and M.B.Tran; The Cauchy problem and BEC stability for the quantum BoltzmannCondensation system for bosons at very low temperature ,
Arxiv:1609.0767v3 Submitted for publication (2018).111 J.A. Morales Escalante and I.M. Gamba; Galerkin Methods for BoltzmannPoisson Transport with reflection conditions on rough boundaries ,
Arxiv:1512.09210v2. Journal of Computational Physics 363 (2018) 302–328.110 I.M.Gamba Deterministic Solvers for NonLinear Kinetic flows: A Conservative Spectral scheme for Boltzmann type flows;
403–433, Handb. Numer. Anal., 18, Elsevier/NorthHolland, Amsterdam, 2017.109 A.V. Bobylev and I.M.Gamba Upper Maxwellian bounds for the Boltzmann equation with pseudoMaxwell molecules;
Kinet. Relat. Models 10 (2017), no. 3, 573–585.108 M. Harmon, I.M.Gamba and Kui Ren; Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells;
J. Comput. Phys. 327 (2016), 140–167.107 C. Zhang and I.M.Gamba; A Conservative Scheme for Vlasov Poisson Landau modeling collisional plasmas.
ArXiv.org:1605.05787, J. Comput. Physics,V. 340, 470497, (2017).106 R. Alonso, I.M. Gamba and S.H. Tharkabhushaman; Convergence and error estimates for the Lagrangian based Conservative Spectral method for Boltzmann Equations.
ArXiv:1611.04171,to appear in SIAM J. Numerical Analysis (2018).
105 J.A. Morales Escalante, I.M. Gamba, A. Majorana, Y. Cheng, C.W. Shu, and J.R. Chelikowsky; Discontinuous Galerkin Deterministic Solvers for a BoltzmannPoisson model of hot electron transport using an averaged Empirical Pseudopotential band ,
ArXiv.org:1512.05403. Comput. Methods Appl. Mech. Engrg. 321, pp. 209–234, (2017).104 M. Taskovic, R.J.Alonso, I.M.Gamba and N. Pavlovic; On MittagLeffler moments for the Boltzmann equation for hard potentials without cutoff,
ArXiv:1512.06769, to appear in SIAM Journal Mathematical Analysis (2017).103 I.M.Gamba and M.J. Kang; Global weak solution of the KolmogorovFokkerPlanck type equation with orientational interaction,
arXiv:1502.00293  Archive for Rational Mechanics and Analysis, 222(1), 317342 (2016).102 A. Bobylev, I.M.Gamba and I. Potapenko; On some properties of the Landau kinetic equation,
J. Stat. Phys. 161 (2015), no. 6, 13271338.101 I.M.Gamba, J.R. Haack and J.W. Hu; A fast conservative spectral solver for the nonlinear Boltzmann collision operator,
(peer reviewed). AIP Conf. Proc. 1628, 75 (2014). Conference (2014) Xian, China. AIP Conference Proceedings (2014).100 I.M.Gamba and C.L. Zhang; A Conservative Discontinuous Galerkin Scheme with O(N2) Operations in Computing the Boltzmann Collision Weight Matrix.
(peer reviewed) To appear in 29th Rarefied Gas Dynamics Conference (2014) Xian, China. AIP Conference Proceedings (2014).99 C. Bardos, F.Golse, I.M.Gamba and C.D. Levermore; Global Solutions of the Boltzmann equation over $R^d$ near globlal Maxwellians with small mass.
Communications in Mathematical Physics (2016) 346: 435. DOI 10.1007/s0022001626877. First Online 29 July 201698 I.M.Gamba, J.R. Haack and S. Motsch; Spectral method for a kinetic swarming model.
J. Comput. Phys. 297 (2015), 32–46(2015).97 I.M.Gamba; Alternative computational methods for Boltzmann and Wigner models in charged transport systems. Computational Electronics (IWCE), 2014 International Workshop on, Paris, France. (2014)
96 J.Morales Escalante and I.M.Gamba; Boundary conditions effects by Discontinuous Galerkin Solvers for BoltzmannPoisson models of Electron Transport.
Computational Electronics (IWCE), 2014 International Workshop on, Paris, France. (2014).95 I.M. Gamba and J.R.Haack; A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit,
Jour. Computational Physcis, V. 270, 40–57. (2014).
94 Y.Cheng, I.M. Gamba, Fengyan Li and P.J. Morrison, Discontinuous Galerkin Methods for VlasovMaxwell Equations, supplementary material Download here. SIAM J. Numer. Anal. 522 (2014), pp. 10171049.
93 J.Morales Escalante, I.M.Gamba, A. Majorana,Y.Cheng, CW. Shu and R. Chelikowsky, Deterministic DG Solvers for EPMBoltzmannPoisson Transport.
Conference, Nara, Japan; 20130604  20130607; in: "Abstracts of 16th IWCE", (2013), 170171.92 A. Munafo, Erik Torres, J.R. Haack, I.M. Gamba and T.E. Magin, Investigation of nonequilibrium effects across normal shock waves by means of a spectralLagrangian Boltzmann solver.
51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, January 2013, Grapevine, TX. DOI: 10.2514/6.2013305,(2013)
91 I.M. Gamba and R. Srinivasan, Selfsimilarity in kinetic models of informationexchange processes, preprint (2013).
90 I.M.Gamba, A. Majorana, J.Morales Escalante and CW. Shu, A fast approach to Discontinuous Galerkin solvers to BoltzmannPoisson transport system for full electronic bands and phonon scattering.
Conference, Madison, USA; 20120522  20120525; in: "Proc. of 15th IWCE", (2012).89 A. Munafo, J.R. Haack, I.M. Gamba and T.E. Magin, A SpectralLagrangian Boltzmann Solver for a MultiEnergy Level Gas,
Jour. Comp. Physcics 264, V. 152–176, (2014).88 A. Munafo, J.R. Haack, I.M. Gamba and T.E. Magin, High Performance Computing with a Conservative Spectral Boltzmann Solver Investigation of nonequilibrium internal energy excitation in shock waves by means of a spectralLagrangian Boltzmann solver,
(peer reviewed) 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings, (2012).87 J.R.Haack and I.M. Gamba, High Performance Computing with a Conservative Spectral Boltzmann Solver ,
(peer reviewed) 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings (2012).86 J.R.Haack and I.M. Gamba, Conservative Deterministic Spectral Boltzmann Solver near the grazing collisions limit , (peer reviewed), 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings (2012)
85 Y. He,I.M. Gamba, HC. Lee, and K. Ren, On the modeling and simulation of reactiontransfer dynamics in semiconductorelectrolyte solar cells
SIAM J. Appl. Math.75, (2015) no. 6,2515–2539.84 Y.Cheng, I.M. Gamba and P.J. Morrison , Study of conservation and recurrence of RungeKutta discontinuous Galerkin schemes for VlasovPoisson systems,
Journal of Scientific Computing, Vol 56, No. 2, 319349. (2013) arXiv:1209.6413 [math.AP].83 M. Bostan and I.M. Gamba, Impact of strong magnetic fields on collision mechanism for transport of charged particles ,
Journal Stat. Phys., Vol 147, No.4, August 2012 Online version. arXiv:1205.2327v1 [math.AP] .82 R.J. Alonso, J.A. Canizo, I.M. Gamba and C. Mouhot, A new approach to the creation and propagation of exponential moments in the Boltzmann equation,
Comm. Partial Differential Equations 38 (2013), no. 1, 155–169. preprint at arXiv:1203.2364v1 [math.AP].81Y. Cheng and I.M. Gamba, Numerical study of VlasovPoisson equations for infinite homogeneous stellar systems
Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Is. 5, pages 2052  2061, (2012).80 N. Ben Abdallah, I.M. Gamba and G. Toscani On the minimization problem of sublinear convex functionals
Kinetic Related Models, Vol 4 No.4 pp 857  871, (2011).79 Ricardo Alonso and I.M. Gamba, Gain of integrability for the Boltzmann collisional operator
Kinetic and Related Models, Vol 4, no 1, pages 41  51, (2011).78 Yingda Cheng, I.M. Gamba, A. Majorana, and CW Shu, Discontinuous Galerkin methods for the BoltzmannPoisson systems in semiconductor device simulations AIP Conference Proceedings, v1333 (2011), pp. 890  895.
77 Yingda Cheng, I.M. Gamba, A. Majorana, and CW Shu, Performance of a Discontinuous Galerkin Solvers for Semiconductor Boltzmann Equations
Proceeding of IWCE14, pp.211  214, (2010).76 Yingda Cheng, I.M. Gamba, A. Majorana, and CW Shu, A brief survey of the discontinuous Galerkin method for the BoltzmannPoisson equations,
SEMA J. No. 54 , pp. 47  64, (2011).
75 Yingda Cheng, Irene M. Gamba, Kui Ren, Recovering doping profiles in semiconductor devices with the BoltzmannPoisson model,
J. Comput. Phys., 230, (2011), pp. 33913412.74 A. Arnold, I.M.Gamba, M.P.Gualdani, S. Mischler, C. Mouhot and C. Sparber; The WignerFokkerPlanck equation: Stationary states and large time behavior., Math. Models Methods Appl. Sci. 22 (2012), no. 11, 1250034, 31 pp., arXiv:1010.2791v3 [math.AP], 2011
73 R. E. Heath, I. M. Gamba, P. J. Morrison, C. Michler, A discontinuous Galerkin method for the VlasovPoisson system,
Journal of Computational Physics, Volume 231, Issue 4, 20 February 2012, pp 1140  1174(arXiv:1009.3046v2 [physics.plasmph]) .
72 A.V. Bobylev and I. M. Gamba, Solutions of the linear Boltzmann equation and some Dirichlet series ,
Forum Mathematicum, Vol. 24, Issue 2, pp 239  251, (2012). Published online: 09/09/2010 DOI:10.1515/FORM.2011.058 (2010).71 M. Bostan, I.M. Gamba, and T. Goudon, The linear Boltzmann equation with space periodic electric field,
Amer. Math. Soc. Transl. (2) Vol 229 pp 5166 (2010).70 Yingda Cheng, I.M. Gamba, A. Majorana, and CW Shu, A Discontinuous Galerkin Solver for FullBand BoltzmannPoisson Models,
13th International Workshop on Computational Electronics Proceedings, pp 211214, (2009).69 I.M. Gamba, A. Jungel and A. Vasseur , Global existence of solutions to onedimensional viscous quantum hydrodynamic equations,
Journal of Differential Equations, 247, 3117 3135, (2009).68 I.M. Gamba and Sri Harsha Tharkabhushaman, Shock and Boundary Structure formation by SpectralLagrangian methods for the Inhomogeneous Boltzmann Transport Equation,
Jour. Comp. Math, Vol.28, No.4, 2010, pp. 430460.67 R. Alonso and I.M.Gamba, A revision on Classical solutions to the Cauchy Boltzmann problem for soft potentials,
J. Stat. Phys. 143, no. 4, pp. 740  746. (2011)66 R. Alonso and I.M.Gamba, Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section,
Journal of Statistical Physics, V 137, Numbers 56, 1147  1165 (2009)65 R. Alonso, E Carneiro and I.M.Gamba, Convolution inequalities for the Boltzmann collision operator,
Comm. Math. Physics Volume 298, Number 2, 293322, 2010.64 I.M. Gamba, M.P. Gualdani and C. Sparber, A note on the time decay of solutions for the linearized WignerPoisson system,
Journal Kinetic and Related Models , 2 (2009), no. 1, 181189. .63 Yingda Cheng, I.M. Gamba, A. Majorana, and CW Shu, A discontinuous Galerkin solver for Boltzmann Poisson systems in nano devices,
Comput. Methods Appl. Mech. Engrg. 198 (2009), no. 3740, 3130315062 I.M. Gamba, M.P. Gualdani and R. Sharp, An Adaptable Discontinuous Galerkin Scheme for the WignerFokkerPlanck Equation,
Commun. Math. Sci. Vol. 7, No. 3 pp. 635664 (2009).61 M. Bostan, I. M. Gamba, T. Goudon and A. Vasseur, Boundary Value Problems for the Stationary VlasovBoltzmannPoisson Equation,
Indiana University Journal, 59 (2010), no.5, 16291660.60 Yingda Cheng, I.M. Gamba, A. Majorana, and CW Shu, Discontinuous Galerkin Solver for BoltzmannPoisson transients,
Journal of Computational Electronics, (2008) 7:119123.59  R. Alonso and I.M.Gamba, L1L∞ Maxwellian bounds for the derivatives of the solution of the homogeneous Boltzmann equation.
Journal de Mathematiques Pures et Appliquees, (9) 89 (2008), no. 6, 57559558  I.M. Gamba and Sri Harsha Tharkabhushaman, Spectral  Lagrangian based methods applied to computation of Non  Equilibrium Statistical States.
Journal of Computational Physics 228 (2009) 20122036.57  Yingda Cheng, Irene M. Gamba, Armando Majorana and ChiWang 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; 257260 (2007).56  Yingda Cheng, I.M. Gamba and Jennifer Proft, PositivityPreserving Discontinuous Galerkin Schemes for Linear VlasovBoltzmann Transport Equations, Mathematics of Computation, v81 (2012), pp.153190.
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, Monatshefte Matematik (2009) 157: 3754.
54  I.M. Gamba, V. Panferov and C. Villani, Upper Maxwellians bounds for the spatially homogeneous Boltzmann equation. Arch.Rat.Mech.Anal, 194 . (2009), 253282
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 WENOBTE: a Double Gate MOSFET Example. Journal of Computational Electronics, Volume 5, Number 4  December, (2006) 471474.
51  A.V. Bobylev, C. Cercignani and I. M. Gamba, On the selfsimilar asymptotics for generalized nonlinear kinetic Maxwell models, Commun. Mathematical Physics 291, 599  644 (2009). (original version at arXiv:mathph/0608035)
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: 9783540782766 .
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. 24, 497516. (2006).
48  J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, 2D nonstationary Boltzmann Poisson Systems: DSMC versus A WENOBoltzmann scheme,
J. Comput. Phys. 214 (2006), no.1, 5580.
47  Jing Shi, I.M. Gamba, A Unitary Hermite Spectral Method for Quantum Liouvillevon 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. 56, 683700.
45  A.V. Bobylev, I.M. Gamba and V. Panferov, Moment inequalities and highenergy tails for Boltzmann equations wiht inelastic interactions,
J. Statist. Phys. 116, no. 56, 16511682.(2004).44  I.M. Gamba, V. Panferov and C. Villani, On the Boltmann Equation for diffusively excited granular media,
Commun. Math. Phys. 246, 503541 (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. 17091736 (2004).42  J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A direct solver for 2D nonstationary BoltzmannPoisson Systems for Semiconductor Devices: A MESFET simulation by WENOBoltzmann schemes,
Journal of Computational Electronics, 2: 375380 (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 WENOsolver transients of BoltzmannPoisson system for semiconductor devices. Performance and Monte Carlo comparisons, Journal of Computational Physics, Vol 184, no. 2, 498525, (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 179192, 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: MultiAgent 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. 1220, May 28June 1, 2001, Montreal, Canada.)
37  K. Suzanne Barber, Irene M. Gamba, and Cheryl E. Martin. Analysis of Adaptive DecisionMaking Frameworks: Motivation for Adjusting Autonomy through DecisionMaking Control. Proceedings for the IJCAI01 Workshop on Autonomy, Delegation, and Control: Interacting with Autonomous Agents. pp. 913, August 410, (2001), Seattle, WA.
36  J.A. Carrillo, I.M. Gamba, A. Majorana and C.W. Shu, A WENOsolver for the 1D nonstationary BoltzmannPoisson system for semiconductor devices. Journal of Computational Electronics, v1 (2002), pp.365370.
35  N. Ben Abdallah, P. Degond and I. Gamba, Hybridquantumkinetic models for the coupling kinetic and quantum effect. J. Math. Phys. 43 (2002), no. 1, 124.(2002).
34  I.M. Gamba and A. Jungel, Asymptotic limits for Quantum Trajectory Models, Comm. Partial Differential Equations 27 (2002), no. 34, 669691.(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), 7584, 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. 56, 1137  1138 (2001).
31  M.A. Anile, J.A. Carrillo, I.M. Gamba and C.W. Shu, Approximation of the BTE by a relaxationtime operator: simulations for a 50nmchannel Si diode, VLSI Design Journal 13, 349354 (2001)
30  C. Cercignani, I.M. Gamba, C.L. Levermore, A DriftCollision Balance asymptotic for a BoltzmannPoisson System in Bounded Domains, SIAM J. Appl. Math., Vol 61, No. 6, pp 19321958, (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, 183203 (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, 77007707. 27.
26  N. Ben Abdallah, P. Degond and I. Gamba, Inflow boundary conditions for the time dependent onedimensional Schroedinger equation, C. R. Acad. Sci. Paris Sr. I Math. 331 (2000), no. 12, 10231028
25  C. Cercignani, I. Gamba, J. Jerome and C.W. Shu, A domain decomposition method: a simulation study, Proceedings of 1998 Sixth International Workshop on Computational Electronics (IWCE6), Osaka University, Japan, October 1921, 1998, IEEE Catalog Number 98EX116, pp.174177 (1998).
24  J.A. Carrillo, I.M. Gamba and C.W. Shu, Computational macroscopic approximations to the 1D relaxationtime kinetic system for semiconductors, Physica D 146, 289306 (2000).
23  Arnold , J.A. Carrillo, I. Gamba and ChiWang Shu, Low and High Field Scaling Limits for the Vlasov and WignerPoissonFokkerPlanck Systems, Transp. Theory Stat. Phys 30 (2&3), 121153 (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. 34, 743773, (2000).
21  I.M. Gamba, Milne Problem for strong force scaling, Nonlinear partial differential equations (Evanston, IL, 1998), 127132, Contemp. Math., 238, Amer. Math. Soc., Providence, RI, (1999).
20  C. Cercignani, I.M. Gamba, J. Jerome and CW Shu, A Domain Decomposition Method for Silicon Devices, Transport Theory and Statis. Phys., vol. 29, (35), 525536 (2000).
19  C. Cercignani, I.M. Gamba, J. Jerome and CW Shu, Device Benchmark Comparisons via Kinetic, Hydrodynamic, and HighField Models, Computer Methods in Applied Mechanics and Engineering, 381392 (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, 763779 (1999).
17  C. Cercignani, I.M. Gamba, J. Jerome and CW 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), 135141 (1998).
16  C. Cercignani, I.M. Gamba, J. Jerome and CW 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), 275282 (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. FernandezBerdaguer, Birkhauser, 1997 (ISBN 0817639535, ISBN 3764339535) 301313 (1997).
14  I.M. Gamba and C.S. Morawetz, Viscous approximation to transonic gas dynamics: flow past profiles and chargedparticle systems,Modeling and Computation for Applications in Mathematics, Science and Engineering (Evanston, Il, 1996), Clarendon Press, Oxford, 81102, (1998).
13  C. Cercignani, I.M. Gamba and C.D. Levermore, High field approximations to a BoltzmannPoisson system boundary conditions in a semiconductor, Applied Math Letters, vol. 10 (4), 111118, (1997).
12  I.M. Gamba, Sharp uniform speed bounds for steady potential fluidPoisson systems, Proceedings of the Royal Academy of Edinburgh, vol. 127A, 479516 (1997).
11  I.M. Gamba, Steady Potential FluidPoisson systems: Theoretical results in 2dimensional 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) 9991049 (1996).
9  I.M. Gamba, An existence and uniqueness result for a nonlinear 2dimensional elliptic boundary value problem, Communications in Pure and Applied Mathematics, vol. XLVIII, 669689 (1995).
8  I.M. Gamba, Viscosity approximating solutions to ODE systems that admit shocks, and their limits, Advances in Applied Mathematics, vol. 15, 129182, (1994).
7  I.M. Gamba, Boundary layer formation for viscosity approximations of transonic flow, Physics of Fluids A., vol. 4(3), 486490 (1992).
6  I.M. Gamba, Stationary transonic solutions for a onedimensional hydrodynamic model for semiconductors,Comm. Partial Differential Equations, vol. 17 (3,9), 553577 (1992).
5  I.M. Gamba, Asymptotic boundary conditions for an oxide region in a semiconductor device, Asymptotic Analysis Journal, vol. 7, 3748 (1993).
4  I.M. Gamba, Behavior of the potential at the pnJunction for a model in semiconductor theory, Appl. Math. Lett., vol. 3, 5963 (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, 4391, (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, 539552 (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, 103122 (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 15, `Simulation of Transport in Transition Regimes’, held May 2226 and Multiscale Models for Surface Evolution and Reacting Flows’, held June 59, in Minneapolis, MN, 2000, The IMA Volumes in Mathematics and its Applications, Vol 136, SpringerVerlag, 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 15, `Simulation of Transport in Transition Regimes’, held May 2226 and `Multiscale Models for Surface Evolution and Reacting Flows’, held June 59, in Minneapolis, MN, 2000. The IMA Volumes in Mathematics and its Applications, Vol 135, SpringerVerlag, New York, pp. 298 (2004).

 W.A. Tex Moncreif, Jr. Chair in Computational Engineering and Sciences III, since 2014
 2014 SIAMAWM Sonia Kovalesvki Lecture Award, Chicago, July 2014.
 John T. Stuart III Centennial Professorship in Mathematics, from 2013 to 2014.
 Japan Society for the Promotion of Science (JSPS) fellowship at Kyoto University, Japan, March 2013.
 Inaugural class of Fellows of the AMS 2013.
 ICES Distinguished Research Award for 2012.
 SIAM Fellow class 2012.
 Moncrief Grand Challenge Award, 20082009.
 Joe B. and Louise Cook Professorship in Mathematics, 2007 to 2011.
 XV David Alcaraz Spinola Lecture Award, Universidad Autonoma de Mexico, Ciudad de Mexico, October 2005.
 NSF Mathematical Science Postdoctoral Research Fellow, 19921994.