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

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 present the new open-source spherically symmetric general-relativistic (GR)
hydrodynamics code GR1D. It is based on the Eulerian formulation of GR hydrodynamics …

A major focus of much current research in gravitation theory is on understanding how
radiation reaction drives the evolution of a binary system, particularly in the extreme mass …

We present a numerical method to compute quasiequilibrium configurations of close binary
neutron stars in the precoalescing stage. A hydrodynamical treatment is performed under …

We present a new three-dimensional fully general-relativistic hydrodynamics code using
high-resolution shock-capturing techniques and a conformal traceless formulation of the …

We perform 3D numerical simulations for the merger of equal mass binary neutron stars in
full general relativity. We adopt a Γ-law equation of state in the form P=(Γ− 1) ρ ɛ where P, ρ …

We study the three-dimensional (3D) hydrodynamics of the post-core-bounce phase of the
collapse of a 27 M☉ star and pay special attention to the development of the standing …

Many problems at the forefront of theoretical astrophysics require the treatment of
magnetized fluids in dynamical, strongly curved spacetimes. Such problems include the …

We study the stability of three-dimensional numerical evolutions of the Einstein equations,
comparing the standard ADM formulation to variations on a family of formulations that …