@article{MR3213800,
author = {Descombes, St{\'e}phane and Duarte, Max and Dumont, Thierry
and Laurent, Fr{\'e}d{\'e}rique and Louvet, Violaine and
Massot, Marc},
title = {Analysis of operator splitting in the nonasymptotic regime for
nonlinear reaction-diffusion equations. {A}pplication to the
dynamics of premixed flames},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {52},
year = {2014},
number = {3},
pages = {1311--1334},
issn = {0036-1429},
mrclass = {65J08 (35A35 35C07 35K57 65L04 65M20 80A25)},
mrnumber = {3213800},
mrreviewer = {Luis Vazquez},
doi = {10.1137/130926006},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1137/130926006}
}
@article{MR3016905,
author = {Dumont, Thierry and Duarte, Max and Descombes, St{\'e}phane
and Dronne, Marie-Aim{\'e}e and Massot, Marc and Louvet,
Violaine},
title = {Simulation of human ischemic stroke in realistic 3{D}
geometry},
journal = {Commun. Nonlinear Sci. Numer. Simul.},
fjournal = {Communications in Nonlinear Science and Numerical Simulation},
volume = {18},
year = {2013},
number = {6},
pages = {1539--1557},
issn = {1007-5704},
mrclass = {92C60 (35K51 35K58 35Q92)},
mrnumber = {3016905},
doi = {10.1016/j.cnsns.2012.10.002},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1016/j.cnsns.2012.10.002}
}
@article{bouchet2003emergence,
title = {Emergence of the great red spot of jupiter from random initial conditions},
author = {Bouchet, F and Dumont, T},
journal = {arXiv preprint cond-mat/0305206},
year = {2003}
}
@article{sommeria1991statistical,
title = {Statistical theory of the Great Red SPOT of Jupiter},
author = {Sommeria, Joel and Nore, Caroline and Dumont, Thierry and Robert, Raoul},
journal = {Academie des Sciences Paris Comptes Rendus Serie B Sciences Physiques},
volume = {312},
pages = {999--1005},
year = {1991}
}
@article{massot2002interaction,
title = {Interaction of thermal explosion and natural convection: critical conditions and new oscillating regimes},
author = {Massot, Marc and G{\'e}nieys, Stephane and Dumont, Thierry and Volpert, VA},
journal = {SIAM Journal on Applied Mathematics},
volume = {63},
number = {1},
pages = {351--372},
year = {2002},
publisher = {SIAM}
}
@article{dumont2000numerical,
title = {Numerical simulation of frontal polymerization},
author = {Dumont, Thierry},
journal = {Computer Assisted Mechanics and Engineering Sciences},
volume = {7},
number = {3},
pages = {363--376},
year = {2000}
}
@article{dronne2007role,
title = {Role of astrocytes in grey matter during stroke: a modelling approach},
author = {Dronne, Marie-Aimee and Grenier, Emmanuel and Dumont, Thierry and Hommel, Marc and Boissel, Jean-Pierre},
journal = {Brain research},
volume = {1138},
pages = {231--242},
year = {2007},
publisher = {Elsevier}
}
@inproceedings{dronne2009mathematical,
title = {A mathematical approach to model stroke pathophysiology},
author = {Dronne, Marie-Aim{\'e}e and Grenier, Emmanuel and Dumont, Thierry and Hommel, Marc and Boissel, Jean-Pierre},
booktitle = {International Heart Forum},
year = {2009}
}
@article{MR2869398,
author = {Duarte, Max and Bonaventura, Zden{\v{e}}k and Massot, Marc and
Bourdon, Anne and Descombes, St{\'e}phane and Dumont, Thierry},
title = {A new numerical strategy with space-time adaptivity and error
control for multi-scale streamer discharge simulations},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {231},
year = {2012},
number = {3},
pages = {1002--1019},
issn = {0021-9991},
coden = {JCTPAH},
mrclass = {76X05 (65M06 76M20)},
mrnumber = {2869398},
doi = {10.1016/j.jcp.2011.07.002},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1016/j.jcp.2011.07.002}
}
@article{MR2890259,
author = {Duarte, Max and Massot, Marc and Descombes, St{\'e}phane and
Tenaud, Christian and Dumont, Thierry and Louvet, Violaine and
Laurent, Fr{\'e}d{\'e}rique},
title = {New resolution strategy for multiscale reaction waves using
time operator splitting, space adaptive multiresolution, and
dedicated high order implicit/explicit time integrators},
journal = {SIAM J. Sci. Comput.},
fjournal = {SIAM Journal on Scientific Computing},
volume = {34},
year = {2012},
number = {1},
pages = {A76--A104},
issn = {1064-8275},
coden = {SJOCE3},
mrclass = {35K57 (35A18 65M06 65M50)},
mrnumber = {2890259},
doi = {10.1137/100816869},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1137/100816869}
}
@incollection{MR2869529,
author = {Duarte, Max and Massot, Marc and Descombes, St{\'e}phane and
Tenaud, Christian and Dumont, Thierry and Louvet, Violaine and
Laurent, Fr{\'e}d{\'e}rique},
title = {New resolution strategy for multi-scale reaction waves using
time operator splitting and space adaptive multiresolution:
application to human ischemic stroke},
booktitle = {Summer {S}chool on {M}ultiresolution and {A}daptive {M}esh
{R}efinement {M}ethods},
series = {ESAIM Proc.},
volume = {34},
pages = {277--290},
publisher = {EDP Sci., Les Ulis},
year = {2011},
mrclass = {65M20 (65L06 65M60 92C50)},
mrnumber = {2869529 (2012k:65098)},
doi = {10.1051/proc/201134006},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1051/proc/201134006}
}
@incollection{MR2882314,
author = {Duarte, Max and Massot, Marc and Descombes, St{\'e}phane and
Dumont, Thierry},
title = {Adaptive time-space algorithms for the simulation of
multi-scale reaction waves},
booktitle = {Finite volumes for complex applications. {VI}. {P}roblems \&
perspectives. {V}olume 1, 2},
series = {Springer Proc. Math.},
volume = {4},
pages = {379--387},
publisher = {Springer, Heidelberg},
year = {2011},
mrclass = {65M08 (76M12 76V05 80M12)},
mrnumber = {2882314},
doi = {10.1007/978-3-642-20671-9_40},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1007/978-3-642-20671-9_40}
}
@article{MR2847238,
author = {Descombes, St{\'e}phane and Duarte, Max and Dumont, Thierry
and Louvet, Violaine and Massot, Marc},
title = {Adaptive time splitting method for multi-scale evolutionary
partial differential equations},
journal = {Confluentes Math.},
fjournal = {Confluentes Mathematici},
volume = {3},
year = {2011},
number = {3},
pages = {413--443},
issn = {1793-7442},
mrclass = {65M99 (35K15 35K45 35K58 65J08)},
mrnumber = {2847238},
doi = {10.1142/S1793744211000412},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1142/S1793744211000412}
}
@article{MR2335366,
author = {Descombes, St{\'e}phane and Dumont, Thierry and Louvet,
Violaine and Massot, Marc},
title = {On the local and global errors of splitting approximations of
reaction-diffusion equations with high spatial gradients},
journal = {Int. J. Comput. Math.},
fjournal = {International Journal of Computer Mathematics},
volume = {84},
year = {2007},
number = {6},
pages = {749--765},
issn = {0020-7160},
mrclass = {65M20 (34G10 47D06 65L05)},
mrnumber = {2335366},
doi = {10.1080/00207160701458716},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1080/00207160701458716}
}
@incollection{MR1486079,
author = {Dumont, Thierry},
title = {Une m\'ethode quasi-{N}ewton pour le calcul d'\'ecoulements
visco\'elastiques},
booktitle = {\'{E}lasticit\'e, visco\'elasticit\'e et contr\^ole optimal
({L}yon, 1995)},
series = {ESAIM Proc.},
volume = {2},
pages = {173--182 (electronic)},
publisher = {Soc. Math. Appl. Indust., Paris},
year = {1997},
mrclass = {76M10 (65N30 76A10)},
mrnumber = {1486079},
doi = {10.1051/proc:1997010},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1051/proc:1997010}
}
@article{MR914053,
author = {Hayli, Avram and Dumont, Thierry and Moulin Ollagnier, Jean
and Strelcyn, Jean-Marie},
title = {Quelques r\'esultats nouveaux sur les billards de {R}obnik},
journal = {J. Phys. A},
fjournal = {Journal of Physics. A. Mathematical and General},
volume = {20},
year = {1987},
number = {11},
pages = {3237--3249},
issn = {0305-4470},
coden = {JPHAC5},
mrclass = {58F14 (30D05 58F17)},
mrnumber = {914053 (89e:58082)},
mrreviewer = {Jaroslav Sm{\'{\i}}tal},
doi = {10.1088/0305-4470/20/11/027},
url = {http://dx.doi.org.docelec.univ-lyon1.fr/10.1088/0305-4470/20/11/027}
}
@incollection{zzz,
author = {Descombes, Stephane and Dumont, Thierry and Massot, Marc},
title = {Operator splitting for stiff nonlinear reaction-diffusion systems : order reduction and application to spiral waves. },
booktitle = {Patterns and waves},
publisher = {A. Abramian, S. Vakulenko, V. Volpert},
year = {2003},
address = {Saint-Petersbourg}
}
@article{volpert2000fire,
title = {The Fire and Explosion Conference},
author = {Volpert, V and Barillon, C and Dumont, T and Genieys, S and Massot, M},
journal = {Univ. of Central Lancashire, Windermere, UK},
year = {2000}
}
@article{descombesnumerical,
title = {Numerical simulation of a stroke: numerical problems and methodology},
author = {Descombes, St{\'e}phane and Dumont, Thierry},
journal = {Progress in Biophysics and Molecular Biology},
year = {2008},
pages = {40 -- 53}
}
@article{smaijcm201704,
title = {{Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures}},
author = {Descombes, St{\'e}phane and Duarte, Max and Dumont, Thierry and Guillet, Thomas and Louvet, Violaine and Massot, Marc},
journal = {SMAI Journal of Computational Mathematics},
year = {2017},
month = apr,
pdf = {http://smai-jcm.cedram.org/smai-jcm-bin/item?id=SMAI-JCM_2017__3__29_0},
volume = {3},
pages = {29--51}
}
@article{sommeria1991theorie,
title = {Th{\'e}orie statistique de la tache rouge de Jupiter},
author = {SOMMERIA, JOEL and NORE, CAROLINE and DUMONT, THIERRY and ROBERT, RAOUL},
journal = {Comptes rendus de l'Acad{\'e}mie des sciences. S{\'e}rie 2, M{\'e}canique, Physique, Chimie, Sciences de l'univers, Sciences de la Terre},
volume = {312},
number = {9},
pages = {999--1005},
year = {1991},
publisher = {Gauthier-Villars}
}
@article{hayli1986experiences,
title = {Exp{\'e}riences num{\'e}riques sur des billards C1 form{\'e}s de quatre arcs de cercles},
author = {Hayli, A and Dumont, Th},
journal = {Celestial mechanics},
volume = {38},
number = {1},
pages = {23--66},
year = {1986},
publisher = {Springer}
}
@article{dumont1978study,
title = {Study of periodicity in the pulsation of Delta-Scuti-type variable stars. IV-New method for calculating the period of a complex signal},
author = {Dumont, Th and Morguleff, N and Rutily, B and Terzan, A},
journal = {Astronomy and Astrophysics},
volume = {69},
pages = {65--71},
year = {1978}
}
@article{dumont1975search,
title = {A Search for Periodicities in the Pulsation of Delta Scuti Stars. I. The Calculation of a Cyclic Phenomenon Period},
author = {Dumont, Th and Morguleff, N and Rutily, B and Terzan, A},
journal = {Astronomy and Astrophysics},
volume = {45},
pages = {57},
year = {1975}
}
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