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A numerical scheme for the variance of the solution of the random transport equation
(Elsevier Science IncNew YorkEUA, 2007)
Statistical moments of the random linear transport equation
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2008)
A finite volume method for the mean of the solution of the random transport equation
(Elsevier Science IncNew YorkEUA, 2007)
Buckley-Leverett mathematical and numerical models describing vertical equilibrium process in porous media
(Pergamon-elsevier Science LtdOxfordInglaterra, 2004)
Hydrostatic equilibrium preservation in MHD numerical simulation with stratified atmospheres: Explicit Godunov-type schemes with MUSCL reconstruction
(EDP Sciences, 2019-11)
Many astrophysical processes involving plasma flows are produced in the context of a gravitationally stratified atmosphere in hydrostatic equilibrium, in which strong gradients can exist with gas properties that vary in ...
Exploring various flux vector splittings for the magneto hydrodynamic system
(Elsevier, 2016)
In this paper we explore flux vector splittings for the MHD system of equations. Our approach follows the strategy that was initially put forward in Toro and Vazquez-Cendon (2012) [55]. We split the flux vector into an ...
Computational electrodynamics in material media with constraint preservation, multidimensional riemann solvers and sub cell resolution – Part I, second-order FVTD schemes
(Elsevier, 2017)
While classic finite-difference time-domain (FDTD) solutions of Maxwell’s equations have served the computational electrodynamics (CED) community very well, formulations based on Godunov methodology have begun to show ...
A fully adaptive multiresolution scheme for shock computations
(Kluwer Academic/plenum Publ, 2001-01-01)
The scheme is based on Ami Harten's ideas (Harten, 1994), the main tools coming from wavelet theory, in the framework of multiresolution analysis for cell averages. But instead of evolving cell averages on the finest uniform ...
A fully adaptive multiresolution scheme for shock computations
(Kluwer Academic/plenum Publ, 2001-01-01)
The scheme is based on Ami Harten's ideas (Harten, 1994), the main tools coming from wavelet theory, in the framework of multiresolution analysis for cell averages. But instead of evolving cell averages on the finest uniform ...
A fully adaptive multiresolution scheme for shock computations
(Kluwer Academic/plenum Publ, 2014)