Speaker : P. Diener

Title : Progress on the numerical calculation of the self-force in the time domain

Abstract : The effective source approach to the self-force problem has proven to be a valuable tool in numerical calculations of the self-force in the time domain. The first self-consistent evolutions of a scalar charge in orbit around a Schwarzschild black hole were performed a few years ago using a finite difference code on a full multi-patch 3D grid. The main limitation of those simulations was the limited accuracy caused by the non-smoothness of the effective source across the particle. In this talk I will present the ideas and main ingredients of a new code based on the Discontinuous Galerkin method that overcomes the accuracy issue and present some new results.