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 …

A numerical-relativity calculation yields in general a solution of the Einstein equations
including also a radiative part, which is in practice computed in a region of finite extent …

The Bondi-Sachs formalism of General Relativity is a metric-based treatment of the Einstein
equations in which the coordinates are adapted to the null geodesics of the spacetime. It …

We give full details regarding the new Cauchy-characteristic evolution (CCE) system in
spectre. The implementation is built to provide streamlined flexibility for either extracting …

A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is
implemented for physical degrees of freedom in a numerical relativity code spectre. The …

We present a discontinuous Galerkin-finite difference hybrid scheme that allows high-order
shock capturing with the discontinuous Galerkin method for general relativistic …

The accurate modeling of gravitational radiation is a key issue for gravitational wave
astronomy. As simulation codes reach higher accuracy, systematic errors inherent in current …

Gravitational waves (GWs) passing through a viscous shell of matter are expected to be
damped resulting in an increase in the temperature of the fluid as energy is transferred to it …

We present an improved spectral algorithm for Cauchy-characteristic extraction and
characteristic evolution of gravitational waves in numerical relativity. The new algorithms …

Studies of quasinormal modes (QNMs) of black holes have a long and well-established
history. Predominantly, much research in this area has customarily focused on the equations …