We present and compare third-as well as fifth-order accurate finite difference schemes for
the numerical solution of the compressible ideal MHD equations in multiple spatial …

A novel computational methodology is presented for the numerical analysis of fast transient
dynamics phenomena in large deformations. The new mixed formulation can be written in …

This paper proposes and analyzes arbitrarily high-order discontinuous Galerkin (DG) and
finite volume methods which provably preserve the positivity of density and pressure for the …

We assess the validity of a single step Godunov scheme for the solution of the
magnetohydrodynamics equations in more than one dimension. The scheme is second …

A vertex centred Finite Volume algorithm is presented for the numerical simulation of fast
transient dynamics problems involving large deformations. A mixed formulation based upon …

The density and pressure are positive physical quantities in magnetohydrodynamics (MHD).
Design of provably positivity-preserving (PP) numerical schemes for ideal compressible …

Numerical schemes provably preserving the positivity of density and pressure are highly
desirable for ideal magnetohydrodynamics (MHD), but the rigorous positivity-preserving …

The ideal magnetohydrodynamic (MHD) equations are important in modeling phenomena in
a wide range of applications, including space weather, solar physics, laboratory plasmas …

A vertex centred Jameson–Schmidt–Turkel (JST) finite volume algorithm was recently
introduced by the authors (Aguirre et al., 2014 [1]) in the context of fast solid isothermal …

We propose and analyze a class of robust, uniformly high-order accurate discontinuous
Galerkin (DG) schemes for multidimensional relativistic magnetohydrodynamics (RMHD) on …