Geodesic
Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
M. Gander1 ; M. Petcu2
1 Section de Mathématiques, University of Geneva, Switzerland
2 Laboratoire de Mathématiques, Université de Poitiers, France The Institute of Mathematics of the Romanian Academy, Bucharest, Romania
ESAIM. Proceedings, Tome 25 (2008), pp. 114-129 Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

The parareal algorithm is a numerical method to integrate evolution problems on parallel computers. The performance of the algorithm is well understood for diffusive problems, and it can have spectacular performance when applied to certain non-linear problems. Its convergence properties are however less favorable for hyperbolic problems. We present and analyze in this paper a variant of the parareal algorithm, recently proposed in the PITA framework for systems of second order ordinary differential equations.
DOI : 10.1051/proc:082508

M. Gander 1 ; M. Petcu 2

1 Section de Mathématiques, University of Geneva, Switzerland
2 Laboratoire de Mathématiques, Université de Poitiers, France The Institute of Mathematics of the Romanian Academy, Bucharest, Romania 
@article{EP_2008_25_a8,
     author = {M. Gander and M. Petcu},
     title = {Analysis of a {Krylov} subspace enhanced parareal algorithm for linear problems},
     journal = {ESAIM. Proceedings},
     pages = {114--129},
     year = {2008},
     volume = {25},
     doi = {10.1051/proc:082508},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:082508/}
}
TY  - JOUR
AU  - M. Gander
AU  - M. Petcu
TI  - Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
JO  - ESAIM. Proceedings
PY  - 2008
SP  - 114
EP  - 129
VL  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:082508/
DO  - 10.1051/proc:082508
LA  - en
ID  - EP_2008_25_a8
ER  - 
%0 Journal Article
%A M. Gander
%A M. Petcu
%T Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
%J ESAIM. Proceedings
%D 2008
%P 114-129
%V 25
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:082508/
%R 10.1051/proc:082508
%G en
%F EP_2008_25_a8
M. Gander; M. Petcu. Analysis of a Krylov subspace enhanced parareal algorithm for linear problems. ESAIM. Proceedings, Tome 25 (2008), pp. 114-129. doi: 10.1051/proc:082508

Cité par Sources :