Binary black hole systems are among the most important sources for gravitational wave
detection. They are also good objects for theoretical research for general relativity. A …

We introduce a new relativistic astrophysics code, SpECTRE, that combines a discontinuous
Galerkin method with a task-based parallelism model. SpECTRE's goal is to achieve more …

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 …

We report on a new open-source, user-friendly numerical relativity code package called
SENR/NRPy+. Our code extends previous implementations of the BSSN reference-metric …

We present a new class of high-order accurate numerical algorithms for solving the
equations of general-relativistic ideal magnetohydrodynamics in curved space–times. In this …

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

On the path to exascale the landscape of computer device architectures and corresponding
programming models has become much more diverse. While various low-level performance …

Discontinuous Galerkin methods are popular because they can achieve high order where
the solution is smooth, because they can capture shocks while needing only nearest …

We examine stability of summation by parts (SBP) numerical schemes that use
hyperboloidal slices to include future null infinity in the computational domain. This inclusion …

We implement advanced Riemann solvers, Harten-Lax-van Leer contact and Harten-Lax-
van Leer discontinuities [A. Mignone and G. Bodo, Mon. Not. R. Astron. Soc. 364, 126 …