Adaptive Time-Space Algorithms for the Simulation of Multi-scale Reaction Waves
Max Duarte
,
Marc Massot
,
Stéphane Descombes
,
Thierry Dumont
Conference papers
hal-00590796v1
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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 articles
hal-00573043v2
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Méthodes numériques adaptatives pour la simulation de la dynamique de fronts de réaction multi-échelles en temps et en espace
Marc Massot
,
Max Duarte
,
Stéphane Descombes
3ème Colloque de la Fédération Normandie-Mathématiques , Oct 2012, Le Havre, France. pp.93-109
Conference papers
hal-00945755v1
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Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations
Stéphane Descombes
,
Stéphane Lanteri
,
Ludovic Moya
[Research Report] RR-7983, INRIA. 2012, pp.28
Reports
hal-00702802v2
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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.
Journal articles
hal-01148617v3
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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
Conference papers
hal-00697727v1
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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.
Journal articles
hal-00837089v4
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Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena
Stéphane Descombes
,
Max Duarte
,
Marc Massot
Book sections
hal-01183745v2
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Splitting methods with complex times for parabolic equations
François Castella
,
Philippe Chartier
,
Stéphane Descombes
,
Gilles Vilmart
Journal articles
hal-00777092v1
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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.
Journal articles
hal-00546223v3
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Cardiac dyspnea risk zones in the South of France identified by geo-pollution trends study
Fanny Simões
,
Charles Bouveyron
,
Damien Piga
,
Damien Borel
,
Stéphane Descombes
,
et al.
Journal articles
hal-03519068v1
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Time-space adaptive numerical methods for the simulation of combustion fronts
Max Duarte
,
Marc Massot
,
Stéphane Descombes
,
Christian Tenaud
,
Sebastien Candel
Annual Research Briefs of the Center for Turbulence Research , Center for Turbulence Research - Stanford University, pp.347-358, 2012
Book sections
hal-00653056v1
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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.
Journal articles
hal-00457731v4
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Order estimates in time of splitting methods for the nonlinear Schrödinger equation
Christophe Besse
,
Brigitte Bidégaray
,
Stéphane Descombes
Journal articles
hal-00319991v1
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Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations
Stephane Descombes
,
Victorita Dolean
,
Martin Gander
2010
Other publications
hal-00491292v1
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An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime.
Stéphane Descombes
,
Mechthild Thalhammer
Journal articles
istex
hal-00550259v1
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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
Journal articles
hal-00587036v2
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A new family of exponential-based high order DGTD methods for modelling 3D transient multiscale electromagnetic problems
Hao Wang
,
Li Xu
,
Bin Li
,
Stéphane Descombes
,
Stéphane Lantéri
2017
Preprints, Working Papers, ...
hal-01523749v1
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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
Journal articles
hal-00175003v1
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An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations
Alexandra Christophe-Argenvillier
,
Stéphane Descombes
,
Stéphane Lanteri
2016
Preprints, Working Papers, ...
hal-01374521v1
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The Lie–Trotter splitting method for nonlinear evolutionary problems involving critical parameters. An exact local error representation and application to nonlinear Schrödinger equations in the semi-classical regime.
Stéphane Descombes
,
Mechthild Thalhammer
IMA Journal of Numerical Analysis , 2013, 33 (2), pp.722-745
Journal articles
hal-00557593v1
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Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations
Ludovic Moya
,
Stéphane Descombes
,
Stéphane Lanteri
Journal articles
istex
hal-00922844v1
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Time-space adaptive numerical methods for the simulation of combustion fronts
Max Duarte
,
Stéphane Descombes
,
Christian Tenaud
,
Sébastien Candel
,
Marc Massot
Journal articles
hal-00727442v2
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Temporal convergence analysis of a locally implicit discontinuous galerkin time domain method for electromagnetic wave propagation in dispersive media
Stéphane Descombes
,
Stéphane Lanteri
,
Ludovic Moya
Journal articles
hal-01244237v2
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Energy preserving methods for nonlinear Schrödinger equations
Christophe Besse
,
Stephane Descombes
,
Guillaume Dujardin
,
Ingrid Lacroix-Violet
Journal articles
hal-01951527v1
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Artificial Boundary Conditions for One-Dimensional Cubic Nonlinear Schrodinger Equations
Xavier Antoine
,
Christophe Besse
,
Stéphane Descombes
SIAM Journal on Numerical Analysis , 2006, 43 (6), pp.2272-2293
Journal articles
hal-00091673v1
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Recent advances on a DGTD method for time-domain electromagnetics
Stéphane Descombes
,
Clement Durochat
,
Stéphane Lanteri
,
Ludovic Moya
,
Claire Scheid
,
et al.
Journal articles
hal-00915347v1
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Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: singular perturbation and order reduction
Stéphane Descombes
,
Marc Massot
Journal articles
istex
hal-00188449v1
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An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations
Alexandra Christophe
,
Stéphane Descombes
,
Stéphane Lanteri
Journal articles
hal-01674044v1
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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⟩
Book sections
hal-00590812v1
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