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New resolution strategy for multi-scale reaction waves using time operator splitting, space adaptive multiresolution and dedicated high order implicit/explicit time integrators

Max Duarte , Marc Massot , Stéphane Descombes , Christian Tenaud , Thierry Dumont , et al.
SIAM Journal on Scientific Computing, 2011, pp.1-29
Article dans une revue hal-00457731v3
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Adaptive time splitting method for multi-scale evolutionary partial differential equations

Stéphane Descombes , Max Duarte , Thierry Dumont , Violaine Louvet , Marc Massot
Confluentes Mathematici, 2011, pp.1-30
Article dans une revue hal-00587036v1
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Simulation of human ischemic stroke in realistic 3D geometry

Thierry Dumont , Max Duarte , Stéphane Descombes , Marie-Aimée Dronne , Marc Massot , et al.
Communications in Nonlinear Science and Numerical Simulation, 2013, 18 (6), pp.1539-1557. ⟨10.1016/j.cnsns.2012.10.002⟩
Article dans une revue hal-00546223v3
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Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames

Stéphane Descombes , Max Duarte , Thierry Dumont , Frédérique Laurent , Violaine Louvet , et al.
2014
Pré-publication, Document de travail hal-00837089v2
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Calcul mathématique avec Sage

Alexandre Casamayou , Guillaume Connan , Thierry Dumont , Laurent Fousse , Francois Maltey , et al.
CreateSpace, pp.468, 2013, 9781481191043
Ouvrages inria-00540485v1
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Cheng Mao Lan et la naissance de l'astrophysique observationnelle en France et en Chine

Thierry Dumont , Yves Gomas
2022
Pré-publication, Document de travail hal-03706729v1
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New resolution strategy for multi-scale reaction waves using time operator splitting, space adaptive multiresolution and dedicated high order implicit/explicit time integrators

Max Duarte , Marc Massot , Stéphane Descombes , Christian Tenaud , Thierry Dumont , et al.
2010
Pré-publication, Document de travail hal-00457731v1

Computational Mathematics with SageMath

Paul Zimmermann , Alexandre Casamayou , Nathann Cohen , Guillaume Connan , Thierry Dumont , et al.
SIAM, 2018, 978-1-61197-545-1. ⟨10.1137/1.9781611975468⟩
Ouvrages hal-01646401v1
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Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction diffusion equations. Application to the dynamics of premixed flames

Stéphane Descombes , Max Duarte , Thierry Dumont , Frédérique Laurent , Violaine Louvet , et al.
2013
Pré-publication, Document de travail hal-00837089v1
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Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames

Stéphane Descombes , Max Duarte , Thierry Dumont , Frédérique Laurent , Violaine Louvet , et al.
SIAM Journal on Numerical Analysis, 2014, pp.1-24
Article dans une revue hal-00837089v3
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New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke

Max Duarte , Marc Massot , Stéphane Descombes , Christian Tenaud , Thierry Dumont , et al.
E. Cancès, V. Louvet, M. Massot. Summer school on multiresolution and adaptive mesh refinement methods, EDP Sciences, pp.Vol. 34 277-290, 2011, ESAIM: Proceedings, ⟨10.1051/proc/201134006⟩
Chapitre d'ouvrage hal-00590812v1
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Non-local competition slows down front acceleration during dispersal evolution

Vincent Calvez , Christopher Henderson , Sepideh Mirrahimi , Olga Turanova , Thierry Dumont
Annales Henri Lebesgue, 2022, 5, pp.1-71. ⟨10.5802/ahl.117⟩
Article dans une revue hal-01963994v1
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Adaptive time splitting method for multi-scale evolutionary partial differential equations

Stéphane Descombes , Max Duarte , Thierry Dumont , Violaine Louvet , Marc Massot
Confluentes Mathematici, 2011, 3, pp.1-31. ⟨10.1142/S1793744211000412⟩
Article dans une revue hal-00587036v2

On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients

Stéphane Descombes , Marc Massot , Thierry Dumont , Violaine Louvet
International Journal of Computer Mathematics, 2007, 84 (6), pp.749 - 765. ⟨10.1080/00207160701458716⟩
Article dans une revue hal-00175003v1
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New resolution strategy for multi-scale reaction waves using time operator splitting, space adaptive multiresolution and dedicated high order implicit/explicit time integrators

Max Duarte , Marc Massot , Stéphane Descombes , Christian Tenaud , Thierry Dumont , et al.
SIAM Journal on Scientific Computing, 2012, 34 (1), pp.76-104. ⟨10.1137/100816869⟩
Article dans une revue hal-00457731v4

A mathematical approach to model stroke pathophysiology

Marie-Aimée Dronne , Emmanuel Grenier , Thierry Dumont , Marc Hommel , Jean-Pierre Boissel
International Heart Forum, Sep 2009, Beijing, China
Communication dans un congrès hal-00789703v1

Role of astrocytes in grey matter during stroke: a modelling approach.

Marie-Aimée Dronne , Emmanuel Grenier , Thierry Dumont , Marc Hommel , Jean-Pierre Boissel
Brain Research, 2007, 1138, pp.231-42. ⟨10.1016/j.brainres.2006.12.062⟩
Article dans une revue istex hal-00859349v1
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Calcul mathématique avec Sage

Alexandre Casamayou , Nathann Cohen , Guillaume Connan , Thierry Dumont , Laurent Fousse , et al.
CreateSpace, pp.468, 2013, 9781481191043
Ouvrages inria-00540485v2
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SIMULATION OF HUMAN ISCHEMIC STROKE IN REALISTIC 3D GEOMETRY: A NUMERICAL STRATEGY

Thierry Dumont , Max Duarte , Stéphane Descombes , Marie-Aimée Dronne , Marc Massot , et al.
2010
Pré-publication, Document de travail hal-00546223v1
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Adaptive Time-Space Algorithms for the Simulation of Multi-scale Reaction Waves

Max Duarte , Marc Massot , Stéphane Descombes , Thierry Dumont
Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.379-387, ⟨10.1007/978-3-642-20671-9_40⟩
Communication dans un congrès hal-00590796v1
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Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures

Stéphane Descombes , Max Duarte , Thierry Dumont , Thomas Guillet , Violaine Louvet , et al.
SMAI Journal of Computational Mathematics, 2017, pp.1-23. ⟨10.5802/smai-jcm.19⟩
Article dans une revue hal-01148617v3
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SIMULATION OF HUMAN ISCHEMIC STROKE IN REALISTIC 3D GEOMETRY: A NUMERICAL STRATEGY

Thierry Dumont , Max Duarte , Stéphane Descombes , Marie-Aimée Dronne , Marc Massot , et al.
2011
Pré-publication, Document de travail hal-00546223v2
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A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations

Max Duarte , Zdenek Bonaventura , Marc Massot , Anne Bourdon , Stéphane Descombes , et al.
Journal of Computational Physics, 2012, 231 (3), pp.1002-1019. ⟨10.1016/j.jcp.2011.07.002⟩
Article dans une revue hal-00573043v2
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New resolution strategy for multi-scale reaction waves using time operator splitting, space adaptive multiresolution and dedicated high order implicit/explicit time integrators

Max Duarte , Marc Massot , Stéphane Descombes , Christian Tenaud , Thierry Dumont , et al.
2010
Pré-publication, Document de travail hal-00457731v2
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Numerical simulation of a stroke: numerical problems and methodology

Stéphane Descombes , Thierry Dumont
2007
Pré-publication, Document de travail hal-00150951v1
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Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames

Stéphane Descombes , Max Duarte , Thierry Dumont , Frédérique Laurent , Violaine Louvet , et al.
SIAM Journal on Numerical Analysis, 2014, 52 (3), pp.1311-1334. ⟨10.1137/130926006⟩
Article dans une revue hal-00837089v4

New Resolution Strategies for Multi-scale Reaction Waves: Optimal Time Operator Splitting and Space Adaptive Multiresolution

Max Duarte , Marc Massot , Frédérique Laurent , Stéphane Descombes , Christian Tenaud , et al.
CLEI 2010 - XXXVI Latin American Conference on Informatics, Oct 2010, Asunción, Paraguay. Paper 6, 14 p
Communication dans un congrès hal-00697727v1
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A new numerical strategy with space-time adaptivity and error control for multi-scale gas discharge simulations

Max Duarte , Zdenek Bonaventura , Marc Massot , Anne Bourdon , Stéphane Descombes , et al.
Journal of Computational Physics, 2011, pp.1-25. ⟨10.1016/j.jcp.2011.07.002⟩
Article dans une revue hal-00573043v1