Understanding the predictions of general relativity for the dynamical interactions of two black
holes has been a long-standing unsolved problem in theoretical physics. Black-hole …

We review the dramatic progress in the simulations of compact objects and compact-object
binaries that has taken place in the first two decades of the twenty-first century. This includes …

This book introduces the modern field of 3+ 1 numerical relativity. The book has been written
in a way as to be as self-contained as possible, and only assumes a basic knowledge of …

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 provide a detailed analysis of several aspects of the turduckening technique for evolving
black holes. At the analytical level we study the constraint propagation for a family of …

We present techniques for successfully performing numerical relativity simulations of binary
black holes with fourth-order accuracy. Our simulations are based on a new coding …

Numerical relativity is the most promising tool for theoretically modeling the inspiral and
coalescence of neutron star and black hole binaries, which, in turn, are among the most …

Many evolution problems in physics are described by partial differential equations on an
infinite domain; therefore, one is interested in the solutions to such problems for a given …

We present a highly-scalable framework that targets problems of interest to the numerical
relativity and broader astrophysics communities. This framework combines a parallel octree …

Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics,
astrophysics and computational methods, among others, with the aim of solving numerically …