Kolloquium der angewandten Mathematik

I will present an introduction to the research area of time parallel time integration, more recently also referred to as PinT (Parallel in Time) methods. I will explain the four main classes of such methods: multiple shooting type methods for initial value problems leading to Parareal, waveform relaxation methods based on domain decomposition leading to Schwarz waveform relaxation, space-time multigrid methods leading to a highly scalable method using standard components for parabolic problems, and also direct space-time parallel methods including ParaExp and ParaDiag.