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- Irene M. Gamba
- 1999

We analyze a quantum trajectory model given by a steady-state hydrodynamic system for quantum fluids with positive constant temperature in bounded domains for arbitrary large data. The momentumâ€¦ (More)

- Jos e A. Carrillo, Irene M. Gamba, Armando Majorana, Chi-Wang Shu
- 2002

In this paper we develop a deterministic high order accurate nite difference WENO solver to the solution of the one dimensional BoltzmannPoisson system for semiconductor devices. We follow the workâ€¦ (More)

- Irene M. Gamba, Sri Harsha Tharkabhushanam
- J. Comput. Physics
- 2009

We propose a new spectral Lagrangian based deterministic solver for the non-linear Boltzmann Transport Equation for Variable Hard Potential (VHP) collision kernels with conservative orâ€¦ (More)

- R. E. Heath, Irene M. Gamba, P. J. Morrison, C. Michler
- J. Comput. Physics
- 2012

A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, inâ€¦ (More)

- JosÃ© A. Carrillo, Irene M. Gamba, Armando Majorana, Chi-Wang Shu
- J. Comput. Physics
- 2006

We develop and demonstrate the capability of a high order accurate finite difference weighted essentially non-oscillatory (WENO) solver for the direct numerical simulation of transients for a twoâ€¦ (More)

- Yingda Cheng, Irene M. Gamba, Philip J. Morrison
- J. Sci. Comput.
- 2013

In this paper we consider Runge-Kutta discontinuous Galerkin (RKDG) schemes for Vlasov-Poisson systems that model collisionless plasmas. One-dimensional systems are emphasized. The RKDG method,â€¦ (More)

- Irene M. Gamba, Sergej Rjasanow, Wolfgang Wagner
- Mathematical and Computer Modelling
- 2005

In this paper, we study properties of dilute granular flows, which are described by the spatially homogeneous uniformly heated inelastic Boltzmann equation. A new modification of the directâ€¦ (More)

- Katherine Socha, Irene M. Gamba, +4 authors Jerry L. Bona
- 2002

iv List of Figures viii Chapter

The existence of global-in-time weak solutions to the one-dimensional viscous quantum hydrodynamic equations is proved. The model consists of the conservation laws for the particle density andâ€¦ (More)

In this paper, we propose to use discontinuous Galerkin methods to solve the Vlasov-Maxwell system. Those methods are chosen because they can be designed systematically as accurate as one wants,â€¦ (More)