Applications of time parallelization
BW Ong, JB Schroder - Computing and Visualization in Science, 2020 - Springer
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 …
since the excellent review article by Gander,“50 years of Time Parallel Integration”(Gander …
A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs
This paper presents a non-intrusive framework for integrating existing unsteady partial
differential equation (PDE) solvers into a parallel-in-time simultaneous optimization …
differential equation (PDE) solvers into a parallel-in-time simultaneous optimization …
Two-level convergence theory for multigrid reduction in time (MGRIT)
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 …
known as multigrid reduction in time (MGRIT), as it is implemented in the open-source …
Multigrid reduction in time for nonlinear parabolic problems: A case study
RD Falgout, TA Manteuffel, B O'Neill… - SIAM Journal on Scientific …, 2017 - SIAM
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 …
architectures, where performance increases are now provided through greater concurrency …
Parallel-in-time multigrid with adaptive spatial coarsening for the linear advection and inviscid burgers equations
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 …
equations in one spatial dimension. This study is motivated by the observation that …
Multigrid methods with space–time concurrency
We consider the comparison of multigrid methods for parabolic partial differential equations
that allow space–time concurrency. With current trends in computer architectures leading …
that allow space–time concurrency. With current trends in computer architectures leading …
Multiple shooting shadowing for sensitivity analysis of chaotic dynamical systems
PJ Blonigan, Q Wang - Journal of Computational Physics, 2018 - Elsevier
Sensitivity analysis methods are important tools for research and design with simulations.
Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent …
Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent …
Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time
A Hessenthaler, RD Falgout, JB Schroder… - Computer Methods in …, 2022 - Elsevier
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 …
solution of numerical algorithms by exploiting the time periodicity inherent to many …
Parallel-in-time solution of power systems with scheduled events
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) …
events (eg, a square pulse applied to a bus). The multigrid reduction in time (MGRIT) …
A space-time parallel algorithm with adaptive mesh refinement for computational fluid dynamics
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 …
refinement (AMR). AMR with subcycling is added to multigrid reduction-in-time (MGRIT) in …