Through the recent improvements toward exascale supercomputer systems, huge computations can be performed in reasonable times by using massively parallelized operations. …
Solving sparse linear systems is a problem that arises in many scientific applications, and sparse direct solvers are a time consuming and key kernel for those applications and …
Add the full text or supplementary notes for the publication here using Markdown formatting.
In this thesis, we focus on the parallel solving of large sparse linear systems. Our main interest is on direct-iterative hybrid solvers such as HIPS, MAPHYS, PDSLIN or SHYLU, …
The ongoing hardware evolution exhibits an escalation in the number, as well as in the heterogeneity, of computing resources. The pressure to maintain reasonable levels of …
Add the full text or supplementary notes for the publication here using Markdown formatting.
The reactivity computations are an essential component for the simulation of the core of a nuclear plant. These computations lead to generalized eigenvalue problems solved by the …
New supercomputers incorporate many microprocessors which include themselves one or many computational cores. These new architectures induce strongly hierarchical topologies. These …
This thesis presents a parallel resolution method for sparse linear systems which combines effectively techniques of direct and iterative solvers using a Schur complement approach. …
Solving large sparse symmetric positive definite systems of linear equations is a crucial and time-consuming step, arising in many scientific and engineering applications. In this …