Publications and recent preprints
(back to Irene's web page)
93-
Y.Cheng, I.M. Gamba, Fengyan Li and P.J. Morrison , Discontinuous
Galerkin Methods for Vlasov-Maxwell Equations, supplementary
material Download
here
submitted (2013).
92- I.M. Gamba and R. Srinivasan, Self-similarity in kinetic models of information-exchange processes, submitted, (2013).
91-
I.M.Gamba, A. Majorana, J.A. Morales and C-W. Shu, A
fast approach to Discontinuous Galerkin solvers to Boltzmann-Poisson
transport system for full electronic bands and phonon scattering,
to appear in Proceedings of IWCE15 (2012).
90- A. Munafo, J.R. Haack, I.M. Gamba and T.E. Magin, A Spectral-Lagrangian Boltzmann Solver for a Multi-Energy Level Gas, submitted for publication, (2013).
89-
A. Munafo, J.R. Haack, I.M. Gamba and T.E. Magin, High
Performance Computing with a Conservative Spectral Boltzmann Solver
Investigation of non-equilibrium internal energy excitation in shock
waves by means of a spectral-Lagrangian Boltzmann solver,
(peer
reviewed) to appear in 28th Rarefied Gas Dynamics Conference (2012).
AIP Conference Proceedings, (2012).
88-
J.R.Haack and I.M. Gamba, High
Performance Computing with a Conservative Spectral Boltzmann Solver
,
(peer reviewed) to appear in 28th Rarefied Gas Dynamics
Conference (2012). AIP Conference Proceedings (2012).
87- J.R.Haack and I.M. Gamba, Conservative Deterministic Spectral Boltzmann Solver near the grazing collisions limit ,
(peer reviewed), to appear in 28th Rarefied Gas Dynamics Conference (2012). AIP Conference Proceedings (2012)
86-
Y. He,I.M. Gamba, H-C. Lee, and K. Ren, On
the modeling and simulation of of reaction-transferdynamics in
semiconductor-electrolyte solar cells
submitted for
publication, (2012).
85- R. Alonso, I.M. Gamba and S.H. Tharkabhushaman, Convergence of the Lagrangian based Conservative Spectral method for Space-homogeneous non-linear Boltzmann Equation for hard potentials,
submitted for publication, (2012).
84-
Y.Cheng, I.M. Gamba and P.J. Morrison , Study
of conservation and recurrence of Runge-Kutta discontinuous Galerkin
schemes for Vlasov-Poisson systems ,
To appear in Journal of
Scientific Computing (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,
To appear in Comm PDE (2012),
preprint at arXiv:1203.2364v1 [math.AP].
81-Y.
Cheng and I.M. Gamba, Numerical
study of Vlasov-Poisson 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 sub-linear 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 C-W Shu, Discontinuous
Galerkin methods for the Boltzmann-Poisson systems in semiconductor
device simulations
AIP Conference Proceedings, v1333 (2011),
pp. 890 - 895.
77-
Yingda Cheng, I.M. Gamba, A. Majorana, and C-W 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 C-W Shu, A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson 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 Boltzmann-Poisson
model,
J. Comput. Phys., 230, (2011), pp. 3391-3412.
74-
A. Arnold, I.M.Gamba, M.P.Gualdani, S. Mischler, C. Mouhot and C.
Sparber; The
Wigner-Fokker-Planck equation: Stationary states and large time
behavior.,
To appear in Mathematical Models and Methods in
Applied Sciences (M3AS). arXiv:1010.2791v3 [math.AP], 2011
73- R. E. Heath, I. M. Gamba, P. J. Morrison, C. Michler, A discontinuous Galerkin method for the Vlasov-Poisson system,
Journal of Computational Physics, Volume 231, Issue 4, 20 February 2012, pp 1140 - 1174(arXiv:1009.3046v2 [physics.plasm-ph]) .
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 51-66 (2010).
70-
Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A
Discontinuous Galerkin Solver for Full-Band Boltzmann-Poisson
Models,
13th International Workshop on Computational
Electronics Proceedings, pp 211-214, (2009).
69-
I.M. Gamba, A. Jungel and A. Vasseur , Global
existence of solutions to one-dimensional 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 Spectral-Lagrangian methods for
the Inhomogeneous Boltzmann Transport Equation,
Jour. Comp.
Math, Vol.28, No.4, 2010, pp. 430-460.
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 5-6, 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,
293-322, 2010.
64-
I.M. Gamba, M.P. Gualdani and C. Sparber, A
note on the time decay of solutions for the linearized Wigner-Poisson
system,
Journal
Kinetic and Related Models , 2 (2009), no. 1, 181-189. .
63-
Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, A
discontinuous Galerkin solver for Boltzmann Poisson systems in nano
devices,
Comput. Methods Appl.
Mech. Engrg. 198 (2009), no. 37-40, 3130--3150
62-
I.M. Gamba, M.P. Gualdani and R. Sharp, An
Adaptable Discontinuous Galerkin Scheme for the Wigner-Fokker-Planck
Equation,
Commun. Math. Sci.
Vol. 7, No. 3 pp. 635-664 (2009).
61-
M. Bostan, I. M. Gamba, T. Goudon and A. Vasseur, Boundary
Value Problems for the Stationary Vlasov-Boltzmann-Poisson Equation,
Indiana University Journal, 59
(2010), no.5, 1629-1660.
60-
Yingda Cheng, I.M. Gamba, A. Majorana, and C-W Shu, Discontinuous
Galerkin Solver for Boltzmann-Poisson transients,
Journal of Computational Electronics, (2008) 7:119-123.
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.
Journal of Computational Physics 228 (2009) 2012-2036.
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 - Yingda Cheng, I.M. Gamba and Jennifer Proft, Positivity-Preserving Discontinuous Galerkin Schemes for Linear Vlasov-Boltzmann Transport Equations,
Mathematics of Computation, v81 (2012), pp.153-190.
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: 37-54.
54
- I.M. Gamba, V. Panferov and C. Villani, Upper
Maxwellians bounds for the spatially homogeneous Boltzmann
equation.
Arch.Rat.Mech.Anal,
194 . (2009), 253-282
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).
51
- A.V. Bobylev, C. Cercignani and I. M. Gamba, On
the self-similar asymptotics for generalized non-linear kinetic
Maxwell models,
Commun. Mathematical Physics 291, 599 - 644
(2009). (original
version at arXiv:math-ph/0608035)
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.)
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,
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. Fernandez-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. Squef 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).