[EN] This article describes a high-order well-balanced central finite volume scheme for solving the coupled Exner-shallow water equations in one dimensional channels with rectangular section and variable width. Such numerical ...

[EN] Optical tomography has found many medical applications that need to know how the photons interact with the different tissues. The majority of the photon transport simulations are done using the diffusion approximation, ...

[EN] We develop and validate node homogenization methods, based on one and three-dimensional node equivalent problems, that improve the volume weighted method for the treatment of the rod cusping effect. The numerical ...

Este libro proporciona un marco general para cualquiera que desee introducirse en el estudio del Álgebra lineal. El principal objetivo del texto es presentar de forma sencilla y práctica un material con definiciones, ...

[EN] The spherical harmonics method is applied to the angular dependence of the neutron transport equation, obtaining a finite approximation known as the PL equations, that are rewritten as a vector-valued second order ...

[EN] The validity of the spherical harmonics-nodal collocation approximation to the stationary Boltzmann equation has been established in multi-dimensional neutron transport problems. This is a high-order approximation ...

A PL spherical harmonics-nodal collocation method is applied to the solution of the multidimensional neutron source transport equation. Vacuum boundary conditions are approximated by setting Marshak's ...

[EN] The diffusion approximation to the time-dependent Boltzmann transport equation gives accurate results for traditional nuclear reactor designs, but new reactor designs and new fuel elements require neutron transport ...