In a single process, the merger of binary neutron star systems combines extreme gravity, the
copious emission of gravitational waves, complex microphysics and electromagnetic …

We present a new formulation of the Einstein equations based on a conformal and traceless
decomposition of the covariant form of the Z4 system. This formulation combines the …

Numerical relativity simulations of compact binaries with the Z4c and Baumgarte-Shapiro-
Shibata-Nakamura-Oohara-Kojima (BSSNOK) formulations are compared. The Z4c …

In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element
scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein–Euler …

Following previous work in vacuum spacetimes, we investigate the constraint-damping
properties in the presence of matter of the recently developed traceless, conformal and …

We present a strongly hyperbolic first-order formulation of the Einstein equations based on
the conformal and covariant Z4 system (CCZ4) with constraint-violation damping, which we …

In this paper we propose an extension of the generalized Lagrangian multiplier method
(GLM) of Munz et al.[52],[30], which was originally conceived for the numerical solution of the …

With the recent advent of multimessenger gravitational-wave astronomy and in anticipation
of more sensitive, next-generation gravitational-wave detectors, we investigate the …

In this paper, we present a new explicit second-order accurate structure-preserving finite
volume scheme for the first-order hyperbolic reformulation of the Navier–Stokes–Korteweg …

In this work we present a novel second order accurate well balanced (WB) finite volume (FV)
scheme for the solution of the general relativistic magnetohydrodynamics (GRMHD) …