| Year |
Citation |
Score |
| 2020 |
Gamba IM, Pavić-Čolić M. On Existence and Uniqueness to Homogeneous Boltzmann Flows of Monatomic Gas Mixtures Archive For Rational Mechanics and Analysis. 235: 723-781. DOI: 10.1007/S00205-019-01428-Y |
0.459 |
|
| 2020 |
Gamba IM, Yu C. Global Weak Solutions to Compressible Navier–Stokes–Vlasov–Boltzmann Systems for Spray Dynamics Journal of Mathematical Fluid Mechanics. 22: 1-22. DOI: 10.1007/S00021-020-00505-7 |
0.459 |
|
| 2019 |
Gamba IM, Jin S, Liu L. Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses, I: time discretization and asymptotic analysis Communications in Mathematical Sciences. 17: 1257-1289. DOI: 10.4310/Cms.2019.V17.N5.A5 |
0.308 |
|
| 2019 |
Gamba IM, Pavlović N, Tasković M. On pointwise exponentially weighted estimates for the Boltzmann equation Siam Journal On Mathematical Analysis. 51: 3921-3955. DOI: 10.1137/18M1213191 |
0.46 |
|
| 2019 |
Gamba IM, Jin S, Liu L. Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations Journal of Computational Physics. 382: 264-290. DOI: 10.1016/J.Jcp.2019.01.018 |
0.499 |
|
| 2018 |
Alonso RJ, Gamba IM, Tharkabhushanam SH. Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations Siam Journal On Numerical Analysis. 56: 3534-3579. DOI: 10.1137/18M1173332 |
0.488 |
|
| 2018 |
Tasković M, Alonso RJ, Gamba IM, Pavlović N. On Mittag-Leffler Moments for the Boltzmann Equation for Hard Potentials Without Cutoff Siam Journal On Mathematical Analysis. 50: 834-869. DOI: 10.1137/17M1117926 |
0.478 |
|
| 2018 |
Zhang C, Gamba IM. A Conservative Discontinuous Galerkin Solver for the Space Homogeneous Boltzmann Equation for Binary Interactions Siam Journal On Numerical Analysis. 56: 3040-3070. DOI: 10.1137/16M1104792 |
0.466 |
|
| 2018 |
Gamba IM, Rjasanow S. Galerkin–Petrov approach for the Boltzmann equation Journal of Computational Physics. 366: 341-365. DOI: 10.1016/J.Jcp.2018.04.017 |
0.458 |
|
| 2018 |
Escalante JAM, Gamba IM. Galerkin methods for Boltzmann-Poisson transport with reflection conditions on rough boundaries Journal of Computational Physics. 363: 302-328. DOI: 10.1016/J.Jcp.2018.02.041 |
0.406 |
|
| 2017 |
Gamba IM, Haack JR, Hauck CD, Hu J. A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels Siam Journal On Scientific Computing. 39. DOI: 10.1137/16M1096001 |
0.31 |
|
| 2017 |
Zhang C, Gamba IM. A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas Journal of Computational Physics. 340: 470-497. DOI: 10.1016/J.Jcp.2017.03.046 |
0.474 |
|
| 2017 |
Bobylev A, Gamba IM, Zhang C. On the Rate of Relaxation for the Landau Kinetic Equation and Related Models Journal of Statistical Physics. 168: 535-548. DOI: 10.1007/S10955-017-1814-Y |
0.517 |
|
| 2016 |
Bobylev AV, Gamba IM. Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules Kinetic and Related Models. 10: 573-585. DOI: 10.3934/Krm.2017023 |
0.472 |
|
| 2016 |
Harmon M, Gamba IM, Ren K. Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells Journal of Computational Physics. 327: 140-167. DOI: 10.1016/J.Jcp.2016.08.026 |
0.451 |
|
| 2016 |
Bardos C, Gamba IM, Golse F, Levermore CD. Global Solutions of the Boltzmann Equation Over $${\mathbb{R}^D}$$ Near Global Maxwellians with Small Mass Communications in Mathematical Physics. 346: 435-467. DOI: 10.1007/S00220-016-2687-7 |
0.481 |
|
| 2016 |
Gamba IM, Kang MJ. Global Weak Solutions for Kolmogorov–Vicsek Type Equations with Orientational Interactions Archive For Rational Mechanics and Analysis. 1-26. DOI: 10.1007/S00205-016-1002-2 |
0.419 |
|
| 2015 |
He Y, Gamba IM, Lee H, Ren K. On the Modeling and Simulation of Reaction-Transfer Dynamics in Semiconductor-Electrolyte Solar Cells Siam Journal On Applied Mathematics. 75: 2515-2539. DOI: 10.1137/130935148 |
0.346 |
|
| 2015 |
Gamba IM, Haack JR, Motsch S. Spectral method for a kinetic swarming model Journal of Computational Physics. 297: 32-46. DOI: 10.1016/J.Jcp.2015.04.033 |
0.374 |
|
| 2015 |
Bobylev A, Gamba IM, Potapenko I. On Some Properties of the Landau Kinetic Equation Journal of Statistical Physics. 161: 1327-1338. DOI: 10.1007/S10955-015-1311-0 |
0.523 |
|
| 2014 |
Cheng Y, Gamba IM, Li F, Morrison PJ. Discontinuous Galerkin methods for the Vlasov-Maxwell equations Siam Journal On Numerical Analysis. 52: 1017-1049. DOI: 10.1137/130915091 |
0.492 |
|
| 2014 |
Gamba IM, Haack JR. A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit Journal of Computational Physics. 270: 40-57. DOI: 10.1016/J.Jcp.2014.03.035 |
0.472 |
|
| 2014 |
Munafò A, Haack JR, Gamba IM, Magin TE. A spectral-Lagrangian Boltzmann solver for a multi-energy level gas Journal of Computational Physics. 264: 152-176. DOI: 10.1016/J.Jcp.2014.01.036 |
0.401 |
|
| 2013 |
Alonso R, Cañizo JA, Gamba I, Mouhot C. A new approach to the creation and propagation of exponential moments in the Boltzmann equation Communications in Partial Differential Equations. 38: 155-169. DOI: 10.1080/03605302.2012.715707 |
0.612 |
|
| 2013 |
Cheng Y, Gamba IM, Morrison PJ. Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems Journal of Scientific Computing. 56: 319-349. DOI: 10.1007/S10915-012-9680-X |
0.478 |
|
| 2012 |
Bobylev AV, Gamba IM. Solutions of the linear Boltzmann equation and some Dirichlet series Forum Mathematicum. 24: 239-251. DOI: 10.1515/Form.2011.058 |
0.484 |
|
| 2012 |
Arnold A, Gamba IM, Gualdani MP, Mischler S, Mouhot C, Sparber C. The Wigner-Fokker-Planck equation: Stationary states and large time behavior Mathematical Models and Methods in Applied Sciences. 22: 1250034. DOI: 10.1142/S0218202512500340 |
0.489 |
|
| 2012 |
Cheng Y, Gamba IM, Proft J. Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations Mathematics of Computation. 81: 153-190. DOI: 10.1090/S0025-5718-2011-02504-4 |
0.419 |
|
| 2012 |
Heath RE, Gamba IM, Morrison PJ, Michler C. A discontinuous Galerkin method for the Vlasov-Poisson system Journal of Computational Physics. 231: 1140-1174. DOI: 10.1016/J.Jcp.2011.09.020 |
0.717 |
|
| 2012 |
Cheng Y, Gamba IM. Numerical study of one-dimensional Vlasov–Poisson equations for infinite homogeneous stellar systems Communications in Nonlinear Science and Numerical Simulation. 17: 2052-2061. DOI: 10.1016/J.Cnsns.2011.10.004 |
0.498 |
|
| 2011 |
Abdallah NB, Gamba IM, Toscani G. On the minimization problem of sub-linear convex functionals Kinetic and Related Models. 4: 857-871. DOI: 10.3934/Krm.2011.4.857 |
0.46 |
|
| 2011 |
Alonso RJ, Gamba IM. Gain of integrability for the Boltzmann collisional operator Kinetic and Related Models. 4: 41-51. DOI: 10.3934/Krm.2011.4.41 |
0.626 |
|
| 2011 |
Cheng Y, Gamba IM, Ren K. Recovering doping profiles in semiconductor devices with the Boltzmann–Poisson model Journal of Computational Physics. 230: 3391-3412. DOI: 10.1016/J.Jcp.2011.01.034 |
0.39 |
|
| 2011 |
Alonso RJ, Gamba IM. A Revision on Classical Solutions to the Cauchy Boltzmann Problem for Soft Potentials Journal of Statistical Physics. 1-7. DOI: 10.1007/S10955-011-0205-Z |
0.647 |
|
| 2010 |
Gamba IM, Tharkabhushanam SH. Shock And Boundary Structure Formation By Spectral-Lagrangian Methods For The Inhomogeneous Boltzmann Transport Equation * Journal of Computational Mathematics. 430-460. DOI: 10.4208/Jcm.1003-M0011 |
0.439 |
|
| 2010 |
Bostan M, Gamba IM, Goudon T, Vasseur AF. Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation Indiana University Mathematics Journal. 59: 1629-1660. DOI: 10.1512/Iumj.2010.59.4025 |
0.465 |
|
| 2010 |
Alonso RJ, Carneiro E, Gamba IM. Convolution Inequalities for the Boltzmann Collision Operator Communications in Mathematical Physics. 298: 293-322. DOI: 10.1007/S00220-010-1065-0 |
0.622 |
|
| 2009 |
Gamba IM, Gualdani MP, Sharp RW. An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation Communications in Mathematical Sciences. 7: 635-664. DOI: 10.4310/Cms.2009.V7.N3.A7 |
0.391 |
|
| 2009 |
Gamba IM, Gualdani MP, Sparber C. A note on the time decay of solutions for the linearized Wigner-Poisson system Kinetic and Related Models. 2: 181-189. DOI: 10.3934/Krm.2009.2.181 |
0.381 |
|
| 2009 |
Gamba IM, Jüngel A, Vasseur AF. Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations Journal of Differential Equations. 247: 3117-3135. DOI: 10.1016/J.Jde.2009.09.001 |
0.462 |
|
| 2009 |
Gamba IM, Tharkabhushanam SH. Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states Journal of Computational Physics. 228: 2012-2036. DOI: 10.1016/J.Jcp.2008.09.033 |
0.493 |
|
| 2009 |
Cheng Y, Gamba IM, Majorana A, Shu C. A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices Computer Methods in Applied Mechanics and Engineering. 198: 3130-3150. DOI: 10.1016/J.Cma.2009.05.015 |
0.356 |
|
| 2009 |
Alonso RJ, Gamba IM. Distributional and classical solutions to the cauchy boltzmann problem for soft potentials with integrable angular cross section Journal of Statistical Physics. 137: 1147-1165. DOI: 10.1007/S10955-009-9873-3 |
0.644 |
|
| 2009 |
Gamba IM, Gualdani MP, Zhang P. On the blowing up of solutions to quantum hydrodynamic models on bounded domains Monatshefte FüR Mathematik. 157: 37-54. DOI: 10.1007/S00605-009-0092-4 |
0.511 |
|
| 2009 |
Bobylev A, Cercignani C, Gamba IM. On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models Communications in Mathematical Physics. 291: 599-644. DOI: 10.1007/S00220-009-0876-3 |
0.441 |
|
| 2009 |
Gamba IM, Panferov V, Villani C. Upper Maxwellian Bounds for the Spatially Homogeneous Boltzmann Equation Archive For Rational Mechanics and Analysis. 194: 253-282. DOI: 10.1007/S00205-009-0250-9 |
0.467 |
|
| 2008 |
Gamba IM, Rjasanow S, Wagner W. Mini-Workshop: Numerics for Kinetic Equations Oberwolfach Reports. 5: 2943-2984. DOI: 10.4171/Owr/2008/52 |
0.487 |
|
| 2008 |
Alonso RJ, Gamba IM. Propagation of L1 and L∞ Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation Journal Des Mathematiques Pures Et Appliquees. 89: 575-595. DOI: 10.1016/J.Matpur.2008.02.006 |
0.679 |
|
| 2008 |
Cheng Y, Gamba IM, Majorana A, Shu CW. Discontinuous Galerkin solver for Boltzmann-Poisson transients Journal of Computational Electronics. 7: 119-123. DOI: 10.1007/S10825-008-0247-X |
0.358 |
|
| 2007 |
Sharp R, Gualdani MP, Gamba I. A discontinuous Galerkin method for the Wigner-Fokker-Planck equation with a non-polynomial approximation space Pamm. 7: 2020105-2020106. DOI: 10.1002/Pamm.200700738 |
0.49 |
|
| 2006 |
Carrillo JA, Gamba IM, Majorana A, Shu C. 2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods Journal of Computational Physics. 214: 55-80. DOI: 10.1016/J.Jcp.2005.09.005 |
0.448 |
|
| 2006 |
Bobylev A, Gamba IM. Boltzmann Equations For Mixtures of Maxwell Gases: Exact Solutions and Power Like Tails Journal of Statistical Physics. 124: 497-516. DOI: 10.1007/S10955-006-9044-8 |
0.452 |
|
| 2006 |
Cáceres MJ, Carrillo JA, Gamba I, Majorana A, Shu C. DSMC versus WENO-BTE: A double gate MOSFET example Journal of Computational Electronics. 5: 471-474. DOI: 10.1007/S10825-006-0035-4 |
0.516 |
|
| 2005 |
Gamba IM, Rjasanow S, Wagner W. Direct simulation of the uniformly heated granular boltzmann equation Mathematical and Computer Modelling. 42: 683-700. DOI: 10.1016/J.Mcm.2004.02.047 |
0.454 |
|
| 2004 |
Klar A, Gamba IM, Abdallah NB. The Milne Problem for High Field Kinetic Equations Siam Journal On Applied Mathematics. 64: 1709-1736. DOI: 10.1137/S0036139902408898 |
0.479 |
|
| 2004 |
Bobylev AV, Gamba IM, Panferov VA. Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions Journal of Statistical Physics. 116: 1651-1682. DOI: 10.1023/B:Joss.0000041751.11664.Ea |
0.484 |
|
| 2004 |
Gamba IM, Panferov V, Villani C. On the Boltzmann Equation for Diffusively Excited Granular Media Communications in Mathematical Physics. 246: 503-541. DOI: 10.1007/S00220-004-1051-5 |
0.49 |
|
| 2003 |
Carrillo JA, Gamba IM, Majorana A, Shu C. A Direct Solver for 2D Non-Stationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET Simulation by WENO-Boltzmann Schemes Journal of Computational Electronics. 2: 375-380. DOI: 10.1023/B:Jcel.0000011455.74817.35 |
0.412 |
|
| 2003 |
Carrillo JA, Gamba IM, Majorana A, Shu C. A WENO-solver for the transients of Boltzmann–Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods Journal of Computational Physics. 184: 498-525. DOI: 10.1016/S0021-9991(02)00032-3 |
0.386 |
|
| 2002 |
Gamba IM, Jüngel A. Asymptotic Limits For Quantum Trajectory Models Pediatric Dermatology. 27: 669-691. DOI: 10.1081/Pde-120002869 |
0.482 |
|
| 2002 |
Abdallah NB, Degond P, Gamba IM. Coupling one-dimensional time-dependent classical and quantum transport models Journal of Mathematical Physics. 43: 1-24. DOI: 10.1063/1.1421635 |
0.336 |
|
| 2001 |
Anile MA, Carrillo JA, Gamba IM, Shu C. Approximation of the BTE by a Relaxation-time
Operator: Simulations for a 50 nm-channel Si Diode Vlsi Design. 13: 349-354. DOI: 10.1155/2001/35094 |
0.335 |
|
| 2001 |
Cercignani C, Gamba IM, Levermore CD. A drift-collision balance for a Boltzmann-Poisson system in bounded domains Siam Journal On Applied Mathematics. 61: 1932-1958. DOI: 10.1137/S0036139999360465 |
0.448 |
|
| 2001 |
Arnold A, Carrillo JA, Gamba I, Shu C. LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS Transport Theory and Statistical Physics. 30: 121-153. DOI: 10.1081/Tt-100105365 |
0.439 |
|
| 2001 |
Bobylev AV, Carrillo JA, Gamba IM. Erratum on “On Some Properties of Kinetic and Hydrodynamic Equations for Ineleastic Interactions” Journal of Statistical Physics. 103: 1137-1138. DOI: 10.1023/A:1010325409175 |
0.422 |
|
| 2001 |
Gamba IM, Jüngel A. Positive Solutions to Singular Second and Third Order Differential Equations for Quantum Fluids Archive For Rational Mechanics and Analysis. 156: 183-203. DOI: 10.1007/S002050000114 |
0.438 |
|
| 2000 |
Carrillo JA, Cercignani C, Gamba IM. Steady states of a boltzmann equation for driven granular media Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 62: 7700-7. PMID 11138041 DOI: 10.1103/Physreve.62.7700 |
0.428 |
|
| 2000 |
Cercignani C, Gamba IM, Jerome JW, Shu C. A domain decomposition method for Silicon devices Transport Theory and Statistical Physics. 29: 525-536. DOI: 10.1080/00411450008205889 |
0.335 |
|
| 2000 |
Bobylev AV, Carrillo JA, Gamba IM. On some properties of kinetic and hydrodynamic equations for inelastic interactions Journal of Statistical Physics. 98: 743-773. DOI: 10.1023/A:1018627625800 |
0.501 |
|
| 2000 |
Ben Abdallah N, Degond P, Gamba I. Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation Comptes Rendus De L'AcadéMie Des Sciences - Series I - Mathematics. 331: 1023-1028. DOI: 10.1016/S0764-4442(00)01759-6 |
0.413 |
|
| 2000 |
Carrillo JA, Gamba IM, Shu C. Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors Physica D: Nonlinear Phenomena. 146: 289-306. DOI: 10.1016/S0167-2789(00)00139-1 |
0.432 |
|
| 2000 |
Cercignani C, Gamba IM, Jerome JW, Shu C. Device benchmark comparisons via kinetic, hydrodynamic, and high-hield models Computer Methods in Applied Mechanics and Engineering. 181: 381-392. DOI: 10.1016/S0045-7825(99)00186-3 |
0.319 |
|
| 1999 |
Gamba IM, Rosales RR, Tabak EG. Constraints On Possible Singularities For The Unsteady Transonic Small Disturbance (Utsd) Equations Communications On Pure and Applied Mathematics. 52: 763-779. DOI: 10.1002/(Sici)1097-0312(199906)52:6<763::Aid-Cpa4>3.0.Co;2-3 |
0.49 |
|
| 1998 |
Cercignani C, Gamba IM, Jerome JW, Shu C. Applicability of the High Field Model: A Preliminary
Numerical Study Vlsi Design. 8: 275-282. DOI: 10.1155/1998/56862 |
0.349 |
|
| 1998 |
Cercignani C, Gamba IM, Jerome JW, Shu C. Applicability of the High Field Model:
An Analytical Study Via Asymptotic Parameters
Defining Domain Decomposition Vlsi Design. 8: 135-141. DOI: 10.1155/1998/54618 |
0.372 |
|
| 1997 |
Gamba IM. Sharp uniform bounds for steady potential fluid-Poisson systems Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 127: 479-516. DOI: 10.1017/S0308210500029887 |
0.396 |
|
| 1997 |
Cercignani C, Gamba IM, Levermore CD. High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor Applied Mathematics Letters. 10: 111-117. DOI: 10.1016/S0893-9659(97)00069-4 |
0.403 |
|
| 1996 |
Gamba IM, Morawetz CS. A viscous approximation for a 2‐D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow Communications On Pure and Applied Mathematics. 49: 999-1049. DOI: 10.1002/(Sici)1097-0312(199610)49:10<999::Aid-Cpa1>3.0.Co;2-2 |
0.459 |
|
| 1995 |
Gamba IM. An existence and uniqueness result of a nonlinear two-dimensional elliptic boundary value problem Communications On Pure and Applied Mathematics. 48: 669-689. DOI: 10.1002/Cpa.3160480702 |
0.405 |
|
| 1994 |
Gamba IM. Viscosity Approximating Solutions to ODE Systems That Admit Shocks, and Their Limits Advances in Applied Mathematics. 15: 129-182. DOI: 10.1006/Aama.1994.1005 |
0.489 |
|
| 1993 |
Gamba IM. Asymptotic behavior at the boundary of a semiconductor device in two space dimensions Annali Di Matematica Pura Ed Applicata. 163: 43-91. DOI: 10.1007/Bf01759016 |
0.426 |
|
| 1992 |
Gamba IM. Stationary transonic solutions of a one—dimensional hydrodynamic model for semiconductors Communications in Partial Differential Equations. 17: 225-267. DOI: 10.1080/03605309208820853 |
0.423 |
|
| 1989 |
Gamba IM, Squeff MC. Simulation of the transient behavior of a one-dimensional semiconductor device II Siam Journal On Numerical Analysis. 26: 539-552. DOI: 10.1137/0726032 |
0.426 |
|
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