I review the development of numerical evolution codes for general relativity based upon the
characteristic initial-value problem. Progress in characteristic evolution is traced from the …

Throughout the Universe many powerful events are driven by strong gravitational effects that
require general relativity to fully describe them. These include compact binary mergers …

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

Several improvements in numerical methods and gauge choice are presented that make it
possible now to perform simulations of the merger and ringdown phases of “generic” binary …

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 …

The long-term evolution of the internal, strong magnetic fields of neutron stars needs a
specific numerical modelling. The diversity of the observed phenomenology of neutron stars …

The interaction of black holes with ambient magnetic fields is important for a variety of highly
energetic astrophysical phenomena. We study this interaction within the force-free …

The thermal evolution of isolated neutron stars is a key element in unravelling their internal
structure and composition and establishing evolutionary connections among different …

We present a code for solving the coupled Einstein-hydrodynamics equations to evolve
relativistic, self-gravitating fluids. The Einstein field equations are solved in generalized …

Block-to-block interface interpolation operators are constructed for several common high-
order finite difference discretizations. In contrast to conventional interpolation operators …