An asynchronous version of the optimized Schwarz method for the solution of differential
equations on a parallel computational environment is studied. In a one-way subdivision of …

Spatial domain decomposition methods have been largely investigated in the last decades,
while time domain decomposition seems to be contrary to intuition and so is not as popular …

Performance computations depend on the machine architecture, the operating system, the
problem studied and obviously on the programming implementation. Solving partial …

Direct and iterative methods are often used to solve linear systems in engineering. The
matrices involved can be large, which leads to heavy computations on the central …

In this paper, an original Jacobi implementation is considered for the solution of sparse
linear systems of equations. The proposed algorithm helps to optimize the parallel …

In this work we consider the optimized Schwarz method designed for computational
domains that feature spherical or almost spherical interfaces. In the first part, we consider the …

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 …

Convergence results for optimized Schwarz methods (OSM) applied as solvers for Poisson's
equation in a bounded rectangular domain with Dirichlet (physical) boundary conditions and …

To answer the question 'How much energy is consumed for a numerical simulation running
on Graphic Processing Unit?', an experimental protocol is here established. The current …

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