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 …

In this paper, we present the new “asynchronous truncated multigrid-reduction-in-time”(AT-
MGRIT) algorithm for introducing time parallelism to the solution of discretized time …

Asynchronous iterations have been investigated more and more for both scaling and fault-
resilience purposes on high performance computing platforms. While so far, they have been …

Homomorphic encryption technology can settle a dispute of data privacy security in cloud
environment, but there are many problems in the process of access the data which is …

A new numerical method for tackling the three-dimensional Heston–Hull–White partial
differential equation (PDE) is proposed. This PDE has an application in pricing options when …

We describe an interpretation of parareal as a two-level additive Schwarz preconditioner in
the time domain. We show that this two-level preconditioner in time is equivalent to parareal …

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 …

In this paper, we present the new" asynchronous truncated multigrid-reduction-in-time"(AT-
MGRIT) algorithm for introducing time parallelism to the solution of discretized time …

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

Four dimensional variational data assimilation (4DVAR) which is based on optimisation
algorithms is used by the leading meterological institutions as a means of initialising the …