publications
A collective book (in french -- with now a translation in english --) on the SageMath software: http://sagebook.gforge.inria.fr/
Publications (from the most recent to the oldest):
| [1] | Stéphane Descombes, Max Duarte, Thierry Dumont, Thomas Guillet, Violaine Louvet, and Marc Massot. Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures. SMAI Journal of Computational Mathematics, 3:29--51, April 2017. [ bib | http ] |
| [2] | Stéphane Descombes, Max Duarte, Thierry Dumont, Frédérique Laurent, Violaine Louvet, and Marc Massot. Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames. SIAM J. Numer. Anal., 52(3):1311--1334, 2014. [ bib | DOI | http ] |
| [3] | Thierry Dumont, Max Duarte, Stéphane Descombes, Marie-Aimée Dronne, Marc Massot, and Violaine Louvet. Simulation of human ischemic stroke in realistic 3D geometry. Commun. Nonlinear Sci. Numer. Simul., 18(6):1539--1557, 2013. [ bib | DOI | http ] |
| [4] | Max Duarte, Zdeněk Bonaventura, Marc Massot, Anne Bourdon, Stéphane Descombes, and Thierry Dumont. A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations. J. Comput. Phys., 231(3):1002--1019, 2012. [ bib | DOI | http ] |
| [5] | Max Duarte, Marc Massot, Stéphane Descombes, Christian Tenaud, Thierry Dumont, Violaine Louvet, and Frédérique Laurent. New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators. SIAM J. Sci. Comput., 34(1):A76--A104, 2012. [ bib | DOI | http ] |
| [6] | Max Duarte, Marc Massot, Stéphane Descombes, Christian Tenaud, Thierry Dumont, Violaine Louvet, and Frédérique Laurent. New resolution strategy for multi-scale reaction waves using time operator splitting and space adaptive multiresolution: application to human ischemic stroke. In Summer School on Multiresolution and Adaptive Mesh Refinement Methods, volume 34 of ESAIM Proc., pages 277--290. EDP Sci., Les Ulis, 2011. [ bib | DOI | http ] |
| [7] | Max Duarte, Marc Massot, Stéphane Descombes, and Thierry Dumont. Adaptive time-space algorithms for the simulation of multi-scale reaction waves. In Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2, volume 4 of Springer Proc. Math., pages 379--387. Springer, Heidelberg, 2011. [ bib | DOI | http ] |
| [8] | Stéphane Descombes, Max Duarte, Thierry Dumont, Violaine Louvet, and Marc Massot. Adaptive time splitting method for multi-scale evolutionary partial differential equations. Confluentes Math., 3(3):413--443, 2011. [ bib | DOI | http ] |
| [9] | Marie-Aimée Dronne, Emmanuel Grenier, Thierry Dumont, Marc Hommel, and Jean-Pierre Boissel. A mathematical approach to model stroke pathophysiology. In International Heart Forum, 2009. [ bib ] |
| [10] | Stéphane Descombes and Thierry Dumont. Numerical simulation of a stroke: numerical problems and methodology. Progress in Biophysics and Molecular Biology, pages 40 -- 53, 2008. [ bib ] |
| [11] | Marie-Aimee Dronne, Emmanuel Grenier, Thierry Dumont, Marc Hommel, and Jean-Pierre Boissel. Role of astrocytes in grey matter during stroke: a modelling approach. Brain research, 1138:231--242, 2007. [ bib ] |
| [12] | Stéphane Descombes, Thierry Dumont, Violaine Louvet, and Marc Massot. On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients. Int. J. Comput. Math., 84(6):749--765, 2007. [ bib | DOI | http ] |
| [13] | F Bouchet and T Dumont. Emergence of the great red spot of jupiter from random initial conditions. arXiv preprint cond-mat/0305206, 2003. [ bib ] |
| [14] | Stephane Descombes, Thierry Dumont, and Marc Massot. Operator splitting for stiff nonlinear reaction-diffusion systems : order reduction and application to spiral waves. In Patterns and waves. A. Abramian, S. Vakulenko, V. Volpert, Saint-Petersbourg, 2003. [ bib ] |
| [15] | Marc Massot, Stephane Génieys, Thierry Dumont, and VA Volpert. Interaction of thermal explosion and natural convection: critical conditions and new oscillating regimes. SIAM Journal on Applied Mathematics, 63(1):351--372, 2002. [ bib ] |
| [16] | Thierry Dumont. Numerical simulation of frontal polymerization. Computer Assisted Mechanics and Engineering Sciences, 7(3):363--376, 2000. [ bib ] |
| [17] | V Volpert, C Barillon, T Dumont, S Genieys, and M Massot. The fire and explosion conference. Univ. of Central Lancashire, Windermere, UK, 2000. [ bib ] |
| [18] | Thierry Dumont. Une méthode quasi-Newton pour le calcul d'écoulements viscoélastiques. In Élasticité, viscoélasticité et contrôle optimal (Lyon, 1995), volume 2 of ESAIM Proc., pages 173--182 (electronic). Soc. Math. Appl. Indust., Paris, 1997. [ bib | DOI | http ] |
| [19] | Joel Sommeria, Caroline Nore, Thierry Dumont, and Raoul Robert. Statistical theory of the great red spot of jupiter. Academie des Sciences Paris Comptes Rendus Serie B Sciences Physiques, 312:999--1005, 1991. [ bib ] |
| [20] | JOEL SOMMERIA, CAROLINE NORE, THIERRY DUMONT, and RAOUL ROBERT. Théorie statistique de la tache rouge de jupiter. Comptes rendus de l'Académie des sciences. Série 2, Mécanique, Physique, Chimie, Sciences de l'univers, Sciences de la Terre, 312(9):999--1005, 1991. [ bib ] |
| [21] | Avram Hayli, Thierry Dumont, Jean Moulin Ollagnier, and Jean-Marie Strelcyn. Quelques résultats nouveaux sur les billards de Robnik. J. Phys. A, 20(11):3237--3249, 1987. [ bib | DOI | http ] |
| [22] | A Hayli and Th Dumont. Expériences numériques sur des billards c1 formés de quatre arcs de cercles. Celestial mechanics, 38(1):23--66, 1986. [ bib ] |
| [23] | J. Baranger and T. Dumont. Projection methods for monotone elliptic partial differential equations. In Nonlinear problems of analysis in geometry and mechanics (Proc. Sympos., Univ. Paul Sabatier, Toulouse, 1979), volume 46 of Res. Notes in Math., pages 86--92. Pitman, Boston, Mass.-London, 1981. [ bib ] |
| [24] | J. Baranger and T. Dumont. Decomposition and projection for nonlinear boundary value problems. In Numerical methods for nonlinear problems, Vol. 1 (Swansea, 1980), pages 1051--1061. Pineridge, Swansea, 1980. [ bib ] |
| [25] | Th Dumont, N Morguleff, B Rutily, and A Terzan. Study of periodicity in the pulsation of delta-scuti-type variable stars. iv-new method for calculating the period of a complex signal. Astronomy and Astrophysics, 69:65--71, 1978. [ bib ] |
| [26] | Th Dumont, N Morguleff, B Rutily, and A Terzan. A search for periodicities in the pulsation of delta scuti stars. i. the calculation of a cyclic phenomenon period. Astronomy and Astrophysics, 45:57, 1975. [ bib ] |
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