Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …

This article presents a comprehensive overview of numerical hydrodynamics and magneto-
hydrodynamics (MHD) in general relativity. Some significant additions have been …

We present a new numerical code, PLUTO, for the solution of hypersonic flows in 1, 2, and 3
spatial dimensions and different systems of coordinates. The code provides a multiphysics …

We describe a conservative, shock-capturing scheme for evolving the equations of general
relativistic magnetohydrodynamics. The fluxes are calculated using the Harten, Lax, & van …

Some active galactic nuclei, microquasars, and gamma-ray bursts may be powered by the
electromagnetic braking of a rapidly rotating black hole. We investigate this possibility via …

We compare numerical evolutions performed with the BSSNOK formulation and a conformal
decomposition of a Z4-like formulation of general relativity. The important difference …

Relativistic hydro and magnetohydrodynamics provide continuum fluid descriptions for gas
and plasma dynamics throughout the visible universe. We present an overview of state-of …

This review is concerned with a discussion of numerical methods for the solution of the
equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a …

We investigate the impact of using high-order numerical methods to study the merger of
magnetized neutron stars with finite-temperature microphysics and neutrino cooling in full …

Aims. We present a new numerical code, ECHO, based on a Eulerian conservative high-
order scheme for time dependent three-dimensional general relativistic …