Parallel Factorizations in Numerical Analysis

Details Parallel Factorizations in Numerical Analysis Parallel Factorizations in Numerical Analysis

2009-12-18

arxiv.org/abs/0912.3678v1

Scalable Computing: Practice and Experience. 10, No.4 (2009) 385-396.

Mathematics

Numerical Analysis

15 pages, 5 figures

Scientific paper

In this paper we review the parallel solution of sparse linear systems, usually deriving by the discretization of ODE-IVPs or ODE-BVPs. The approach is based on the concept of parallel factorization of a (block) tridiagonal matrix. This allows to obtain efficient parallel extensions of many known matrix factorizations, and to derive, as a by-product, a unifying approach to the parallel solution of ODEs.

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