This review article serves to summarize the many advances in time-parallel computations
since the excellent review article by Gander,“50 years of Time Parallel Integration”(Gander …

This paper presents a non-intrusive framework for integrating existing unsteady partial
differential equation (PDE) solvers into a parallel-in-time simultaneous optimization …

In this paper we develop a two-grid convergence theory for the parallel-in-time scheme
known as multigrid reduction in time (MGRIT), as it is implemented in the open-source …

The need for parallelism in the time dimension is being driven by changes in computer
architectures, where performance increases are now provided through greater concurrency …

We apply a multigrid reduction-in-time (MGRIT) algorithm to hyperbolic partial differential
equations in one spatial dimension. This study is motivated by the observation that …

We consider the comparison of multigrid methods for parabolic partial differential equations
that allow space–time concurrency. With current trends in computer architectures leading …

Sensitivity analysis methods are important tools for research and design with simulations.
Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent …

In this paper, a time-periodic MGRIT algorithm is proposed as a means to reduce the time-to-
solution of numerical algorithms by exploiting the time periodicity inherent to many …

This work presents a time-parallel approach for solving power grid problems with scheduled
events (eg, a square pulse applied to a bus). The multigrid reduction in time (MGRIT) …

This paper describes a space-time parallel algorithm with space-time adaptive mesh
refinement (AMR). AMR with subcycling is added to multigrid reduction-in-time (MGRIT) in …