Parallel solution of linear DAEs by multisplitting waveform relaxation methods

Authors
Bahi, JM Rhofir, K Miellou, JC
Citation
Jm. Bahi et al., Parallel solution of linear DAEs by multisplitting waveform relaxation methods, LIN ALG APP, 332, 2001, pp. 181-196
Citations number
9
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
332
Year of publication
2001
Pages
181 - 196
Database
ISI
SICI code
0024-3795(20010801)332:<181:PSOLDB>2.0.ZU;2-G
Abstract
We are interested in solving linear time-dependent index one differential a lgebraic equations (DAEs) by parallel asynchronous algorithms. We give a ne w class of parallel iterative methods the convergence of which is obtained by the study of a special fixed point mapping. These new algorithms can be described as asynchronous multisplitting waveform relaxation methods for li near differential algebraic systems. (C) 2001 Elsevier Science Inc. All rig hts reserved.