A hybrid parareal spectral deferred corrections method
M Minion - … in Applied Mathematics and Computational Science, 2011 - msp.org
The parareal algorithm introduced in 2001 by Lions, Maday, and Turinici is an iterative
method for the parallelization of the numerical solution of ordinary differential equations or …
method for the parallelization of the numerical solution of ordinary differential equations or …
An adaptive parareal algorithm
In this paper, we consider the problem of accelerating the numerical simulation of time
dependent problems by time domain decomposition. The available algorithms enabling …
dependent problems by time domain decomposition. The available algorithms enabling …
Symmetric parareal algorithms for Hamiltonian systems
X Dai, C Le Bris, F Legoll, Y Maday - ESAIM: Mathematical Modelling …, 2013 - numdam.org
The parareal in time algorithm allows for efficient parallel numerical simulations of
timedependent problems. It is based on a decomposition of the time interval into …
timedependent problems. It is based on a decomposition of the time interval into …
[HTML][HTML] Analysis for parareal algorithms applied to Hamiltonian differential equations
Long-time integrations are an important issue in the numerical solution of Hamiltonian
systems. They are time consuming and it is natural to consider the use of parallel …
systems. They are time consuming and it is natural to consider the use of parallel …
A time‐parallel implicit method for accelerating the solution of non‐linear structural dynamics problems
The parallel implicit time‐integration algorithm (PITA) is among a very limited number of time‐
integrators that have been successfully applied to the time‐parallel solution of linear second …
integrators that have been successfully applied to the time‐parallel solution of linear second …
Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model
In this paper we present a time-parallel algorithm for the 3D neutrons calculation of a
transient model in a nuclear reactor core. The neutrons calculation consists in numerically …
transient model in a nuclear reactor core. The neutrons calculation consists in numerically …
Parareal multiscale methods for highly oscillatory dynamical systems
We introduce a new strategy for coupling the parallel in time (parareal) iterative
methodology with multiscale integrators. Following the parareal framework, the algorithm …
methodology with multiscale integrators. Following the parareal framework, the algorithm …
Parareal convergence for oscillatory pdes with finite time-scale separation
AG Peddle, T Haut, B Wingate - SIAM Journal on Scientific Computing, 2019 - SIAM
In SIAM J. Sci. Comput., 36 (2014), pp. A693--A713 the authors present a new coarse
propagator for the parareal method applied to oscillatory PDEs that exhibit time-scale …
propagator for the parareal method applied to oscillatory PDEs that exhibit time-scale …
Smooth and robust solutions for Dirichlet boundary control of fluid–solid conjugate heat transfer problems
We study a new optimization scheme that generates smooth and robust solutions for
Dirichlet velocity boundary control (DVBC) of conjugate heat transfer (CHT) processes. The …
Dirichlet velocity boundary control (DVBC) of conjugate heat transfer (CHT) processes. The …
Error bound analysis of the stochastic parareal algorithm
Stochastic Parareal (SParareal) is a probabilistic variant of the popular parallel-in-time
algorithm known as Parareal. Similarly to Parareal, it combines fine-and coarse-grained …
algorithm known as Parareal. Similarly to Parareal, it combines fine-and coarse-grained …