Scientific focus: General relativity is a beautiful, but highly complex theory in terms of its field content, invariant structure and the nature of its dynamical equations. Describing gravitational phenomena beyond a weak-field regime and in the absence of global symmetries requires refined computational methods. Progress in understanding black hole properties, binary systems, the early universe, and astrophysical environments depends critically on further developing our computational tool box. This conference will bring together gravity researchers with a broad range of backgrounds, who are at the forefront of developing and applying numerical approximation and simulation techniques, as well as new analytical methods. We aim for a constructive and interactive meeting, including discussions on the future challenges and opportunities for computation in classical and quantum gravity.