We construct an approximate metric that represents the spacetime of spinning binary black
holes (BBH) approaching merger. We build the metric as an analytical superposition of two …

The next generation of gravitational-wave detectors, conceived to begin operations in the
2030s, will probe fundamental physics with exquisite sensitivity. These observations will …

Errors due to imperfect boundary conditions in numerical relativity simulations of binary
black holes (BBHs) can produce unphysical reflections of gravitational waves which …

Spectral methods provide an elegant and efficient way of numerically solving differential
equations of all kinds. For smooth problems, truncation error for spectral methods vanishes …

Discontinuous Galerkin finite element (DGFE) methods offer a mathematically beautiful,
computationally efficient, and efficiently parallelizable way to solve partial differential …

Measurements of the gravitational-wave signals from neutron star mergers allow scientists to
learn about the interior of neutron stars and the properties of dense nuclear matter. The …

This work originates as part of the research program of the Foundation for Fundamental
Research on Matter (FOM), and falls as of April 1, 2017 under the responsibility of the …

The purpose of this work is to introduce a new analytical and numerical approach to the
treatment of the initial value problem for the vacuum Einstein field equations on spacetimes …