This paper deals with a synthetic presentation of parallel iterative asynchronous algorithms
and their extensions for the solution of large sparse linear or pseudo-linear algebraic …

This paper introduces the multiplicative variant of the recently proposed asynchronous
additive coarse-space correction method. The definition of an asynchronous extension of …

This paper introduces the application of asynchronous iterations theory within the framework
of the primal Schur domain decomposition method. A suitable relaxation scheme is …

In this paper, we tackled the convergence detection problem arisen from the absence of
synchronization during asynchronous iterative computation. We showed that, when one …

Recently, asynchronous coarse-grid correction has been achieved within additive Schwarz-
type and primal Schur domain decomposition frameworks. Both additive and multiplicative …

We propose and analyze a mixed precision parareal algorithm that uses for the fine
propagator and the coarse propagator a high precision and a low, respectively. This …

For the well known parareal algorithm, we formulate and analyse a novel class of parareal
exponential schemes with improved uniform accuracy for highly oscillatory system q¨+ 1 ε 2 …

This paper presents a parallel implementation for the Optimal Transportation Meshfree
(OTM) method on large CPU clusters. Communications are handled with the Message …

A general asynchronous alternating iterative model is designed, for which convergence is
theoretically ensured both under classical spectral radius bound and, then, for a classical …

Compared with arithmetic operation, communication cost is often the bottleneck on modern
computers, and thus should be paid increasing attention when choosing algorithms. Lagged …