ABSTRACT. In this paper we review the parallel solution of sparse linear systems, usually deriving by the discretization of ODEIVPs 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.
Parallel Factorizations in Numerical Analysis / Pierluigi Amodio; Luigi Brugnano. - In: SCALABLE COMPUTING. PRACTICE AND EXPERIENCE. - ISSN 1895-1767. - ELETTRONICO. - 10, No.4:(2009), pp. 385-396.
Parallel Factorizations in Numerical Analysis
BRUGNANO, LUIGI
2009
Abstract
ABSTRACT. In this paper we review the parallel solution of sparse linear systems, usually deriving by the discretization of ODEIVPs 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.File in questo prodotto:
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