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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
BIT Numerical Mathematics, 2010, 50 (4), pp.729-749. ⟨10.1007/s10543-010-0282-4⟩
Article dans une revue istex hal-00550259v1
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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
Article dans une revue hal-00557593v1
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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 of Computational and Applied Mathematics, 2017, 316, pp.122-132. ⟨10.1016/j.cam.2016.09.038⟩
Article dans une revue hal-01244237v2
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Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies.

 Max Duarte , Marc Massot , Stéphane Descombes
ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (5), pp.825-852. ⟨10.1051/m2an/2010104⟩
Article dans une revue hal-00482099v2
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An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations

 Alexandra Christophe , Stéphane Descombes , Stéphane Lanteri
Applied Mathematics and Computation, 2018, 319, pp.395 - 408. ⟨10.1016/j.amc.2017.04.023⟩
Article dans une revue hal-01674044v1
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An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations

 Georges Nehmetallah , Stephane Lanteri , Stéphane Descombes
2019
Pré-publication, Document de travail hal-02172450v1
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Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues

 Stéphane Descombes , Stéphane Lanteri , Ludovic Moya
SIAM Journal on Scientific Computing, 2016, 38 (5), pp.A2611-A2633. ⟨10.1137/15M1010282⟩
Article dans une revue hal-01133694v2
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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
Rapport hal-00702802v2
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Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations

 Stephane Descombes , Victorita Dolean , Martin Gander
2010
Autre publication scientifique hal-00491292v1
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A postprocessing technique for a discontinuous Galerkin discretization of time-dependent Maxwell's equations

 Georges Nehmetallah , Théophile Chaumont-Frelet , Stéphane Descombes , Stéphane Lanteri
2020
Pré-publication, Document de travail hal-02956882v1

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
Chapitre d'ouvrage hal-00653056v1

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
Communication dans un congrès hal-00945755v1
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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
Pré-publication, Document de travail hal-01374521v1

Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations

 Ludovic Moya , Stéphane Descombes , Stéphane Lanteri
Journal of Scientific Computing, 2013, 56 (1), pp.190--218. ⟨10.1007/s10915-012-9669-5⟩
Article dans une revue istex hal-00922844v1

Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: singular perturbation and order reduction

 Stéphane Descombes , Marc Massot
Numerische Mathematik, 2004, 97 (4), pp.667--698. ⟨10.1007/s00211-003-0496-3⟩
Article dans une revue istex hal-00188449v1
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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
Combustion and Flame, 2013, 160 (6), pp.1083-1101. ⟨10.1016/j.combustflame.2013.01.013⟩
Article dans une revue hal-00727442v2
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An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations

 Georges Nehmetallah , Stéphane Lanteri , Stéphane Descombes , Alexandra Christophe
ICOSAHOM 2018 - International Conference on Spectral and High Order Methods, Jul 2018, London, United Kingdom. ⟨10.1007/978-3-030-39647-3_41⟩
Communication dans un congrès hal-01955032v2

High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations

 Stéphane Descombes , Stéphane Lanteri , Ludovic Moya
ICOSAHOM 2012, Jun 2012, Gammarth, Tunisia. pp.205-216, ⟨10.1007/978-3-319-01601-6_16⟩
Communication dans un congrès hal-00922157v1
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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
Pré-publication, Document de travail hal-01523749v1
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Semiclassical numerical modeling of gain materials with a high order Discontinuous Galerkin time-domain solver

 Cédric Legrand , Stéphane Lanteri , Stéphane Descombes
ENUMATH 2023 - European Conference on Numerical Mathematics and Advanced Applications, Sep 2023, Lisbon, Portugal
Communication dans un congrès hal-04416840v1

An Exponential-Based DGTD Method for Modeling 3-D Plasma-Surrounded Hypersonic Vehicles

 Hao Wang , Li Li , Bin Li , Stéphane Descombes , Stéphane Lanteri
IEEE Transactions on Antennas and Propagation, 2020, 68 (5), pp.3847 - 3858. ⟨10.1109/TAP.2020.2963923⟩
Article dans une revue hal-04464372v1
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A New Family of Exponential-Based High-Order DGTD Methods for Modeling 3-D Transient Multiscale Electromagnetic Problems

 Hao Wang , Li Li , Bin Li , Stéphane Descombes , Stéphane Lanteri
IEEE Transactions on Antennas and Propagation, 2017, 65 (11), pp.5960 - 5974. ⟨10.1109/TAP.2017.2752223⟩
Article dans une revue hal-01674026v1

Recent advances on a DGTD method for time-domain electromagnetics

 Stéphane Descombes , Clement Durochat , Stéphane Lanteri , Ludovic Moya , Claire Scheid , et al.
Photonics and Nanostructures - Fundamentals and Applications, 2013, 11 (4), pp.291-302. ⟨10.1016/j.photonics.2013.06.005⟩
Article dans une revue istex hal-00915347v1
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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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Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena

 Stéphane Descombes , Max Duarte , Marc Massot
Roland Glowinski; Stanley Osher; Wotao Yin. Splitting Methods in Communication, Imaging, Science, and Engineering, Springer International Publishing, pp.1-13, 2015, 78-3-319-41589-5. ⟨10.1007/978-3-319-41589-5⟩
Chapitre d'ouvrage hal-01183745v2
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Order estimates in time of splitting methods for the nonlinear Schrödinger equation

 Christophe Besse , Brigitte Bidégaray , Stéphane Descombes
SIAM Journal on Numerical Analysis, 2002, 40 (1), pp.26-40. ⟨10.1137/S0036142900381497⟩
Article dans une revue hal-00319991v1

Examples of the influence of the geometry on the propagation of progressive waves

 Marie-Aimée Dronne , Stéphane Descombes , Emmanuel Grenier , Hervé Gilquin
Mathematical and Computer Modelling, 2009, 49 (11-12), pp.2138-2144. ⟨10.1016/j.mcm.2008.07.024⟩
Article dans une revue istex hal-00859352v1
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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

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

NiPTUNE: an automated pipeline for noninvasive prenatal testing in an accurate, integrative and flexible framework

 Véronique Duboc , David Pratella , Marco Milanesio , John Boudjarane , Stéphane Descombes , et al.
Briefings in Bioinformatics, 2021, ⟨10.1093/bib/bbab380⟩
Article dans une revue hal-03477359v1
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