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 …

Time parallel time integration methods have received renewed interest over the last decade
because of the advent of massively parallel computers, which is mainly due to the clock …

The parareal algorithm is a method to solve time-dependent problems parallel in time: it
approximates parts of the solution later in time simultaneously to parts of the solution earlier …

We present and analyze a new space-time parallel multigrid method for parabolic equations.
The method is based on arbitrarily high order discontinuous Galerkin discretizations in time …

We consider the solution of parabolic partial differential equations (PDEs). In standard time-
stepping techniques multigrid can be used as an iterative solver for the elliptic equations …

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 …

The time‐parallel framework for constructing parallel implicit time‐integration algorithms
(PITA) is revisited in the specific context of linear structural dynamics and near‐real‐time …

The spectral deferred correction (SDC) method is an iterative scheme for computing a higher-
order collocation solution to an ODE by performing a series of correction sweeps using a low …

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

In this work, we study the parallel-in-time iterative solution of coupled flow and
geomechanics in porous media, modelled by a two-field formulation of Biot's equations. In …