Brigitte Bidégaray-Fesquet

86
Documents

Presentation

Physical modelling, mathematical and numerical analysis in nonlinear electromagnetism.
Signal processing for non uniform signals.

Research Assistant at CNRS.
Member of the Laboratoire Jean Kuntzmann, PDE team.

Publications

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Publications

Image document

Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model

Brigitte Bidégaray-Fesquet , Clément Jourdana , Léopold Trémant
Communications in Mathematical Sciences, 2025, 23 (3), pp.731-764. ⟨10.4310/CMS.250208224637⟩
Journal articles hal-04171818 v3
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Event-triggered Controllers using Contraction Analysis

Brigitte Bidégaray-Fesquet , Nacim Meslem , Fairouz Zobiri
International Journal of Control, 2024, ⟨10.1080/00207179.2024.2379580⟩
Journal articles hal-03862017 v2
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Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients

Marc E. Songolo , Brigitte Bidégaray-Fesquet
Journal of Difference Equations and Applications, 2024, 30 (5), pp.577-602. ⟨10.1080/10236198.2023.2300726⟩
Journal articles hal-03283849 v1
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Strang splitting schemes for N-level Bloch models

Marc E. Songolo , Brigitte Bidégaray-Fesquet
International Journal of Modeling, Simulation, and Scientific Computing, 2023, 14 (3), pp.2350044. ⟨10.1142/S1793962323500447⟩
Journal articles hal-02294954 v1
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Self-triggered stabilizing controllers for linear continuous-time systems

Fairouz Zobiri , Nacim Meslem , Brigitte Bidégaray-Fesquet
International Journal of Robust and Nonlinear Control, 2020, 30 (16), pp.6502-6517. ⟨10.1002/rnc.5123⟩
Journal articles hal-02171976 v1
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Event-Triggered Stabilizing Controllers for Switched Linear Systems

Fairouz Zobiri , Nacim Meslem , Brigitte Bidégaray-Fesquet
Nonlinear Analysis: Hybrid Systems, 2020, 36, pp.100831. ⟨10.1016/j.nahs.2019.100831⟩
Journal articles hal-02171814 v1
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Nonstandard finite difference schemes for the two-level Bloch model

Marc E. Songolo , Brigitte Bidégaray-Fesquet
International Journal of Modeling, Simulation, and Scientific Computing, 2018, 9 (4), pp.1850033:1-23. ⟨10.1142/S1793962318500332⟩
Journal articles hal-01724116 v1
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Static ferromagnetic materials: from the microscopic to the mesoscopic scale

Brigitte Bidégaray-Fesquet , Quentin Jouet , Stéphane Labbé
Communications in Contemporary Mathematics, 2014, 16 (1), pp.1350013:1-24. ⟨10.1142/S0219199713500132⟩
Journal articles hal-00639759 v3
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A nonlinear Bloch model for Coulomb interaction in quantum dots

Brigitte Bidégaray-Fesquet , Kole Keita
Journal of Mathematical Physics, 2014, 55 (2), pp.021501:1-17. ⟨10.1063/1.4865426⟩
Journal articles hal-00738063 v5
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Data driven sampling of oscillating signals

Brigitte Bidégaray-Fesquet , Marianne Clausel
Sampling Theory in Signal and Image Processing, 2014, 13 (2), pp.175-187. ⟨10.1007/BF03549578⟩
Journal articles hal-00905184 v2
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From Newton's cradle to the discrete p-Schrödinger equation

Brigitte Bidégaray-Fesquet , Eric Dumas , Guillaume James
SIAM Journal on Mathematical Analysis, 2013, 45 (6), pp.3404-3430. ⟨10.1137/130924196⟩
Journal articles hal-00831868 v1

Non-uniform Filter interpolation in the frequency domain

Brigitte Bidégaray-Fesquet , Laurent Fesquet
Sampling Theory in Signal and Image Processing, 2011, 10 (1-2), pp.17-35. ⟨10.1007/BF03549532⟩
Journal articles hal-00646536 v1
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IIR digital filtering of non-uniformly sampled signals via state representation

Laurent Fesquet , Brigitte Bidégaray-Fesquet
Signal Processing, 2010, 90 (10), pp.2811-2821. ⟨10.1016/j.sigpro.2010.03.030⟩
Journal articles hal-00493354 v1
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Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes

Brigitte Bidégaray-Fesquet
Annals of Physics, 2010, 325 (10), pp.2090-2102. ⟨10.1016/j.aop.2010.05.003⟩
Journal articles hal-00270556 v3
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Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations

Brigitte Bidégaray-Fesquet
SIAM Journal on Numerical Analysis, 2008, 46 (5), pp.2551-2566. ⟨10.1137/060671255⟩
Journal articles hal-00005368 v1
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On the propagation of an optical wave in a photorefractive medium

Brigitte Bidégaray-Fesquet , Jean-Claude Saut
Mathematical Models and Methods in Applied Sciences, 2007, 17 (11), pp.1883-1904. ⟨10.1142/S0218202507002509⟩
Journal articles hal-00135644 v2
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From the Bloch model to the rate equations

Brigitte Bidégaray-Fesquet , François Castella , Pierre Degond
Discrete and Continuous Dynamical Systems - Series A, 2004, 11 (1), pp.1-26. ⟨10.3934/dcds.2004.11.1⟩
Journal articles hal-00319994 v1
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From Bloch model to the rate equations II: the case of almost degenerate energy levels

Brigitte Bidégaray-Fesquet , François Castella , Eric Dumas , Marguerite Gisclon
Mathematical Models and Methods in Applied Sciences, 2004, 14 (12), pp.1785-1817. ⟨10.1142/s0218202504003829⟩
Journal articles hal-00001303 v1
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A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP

Christophe Besse , Brigitte Bidégaray-Fesquet , Antoine Bourgeade , Pierre Degond , Olivier Saut
ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 (2), pp.321-344. ⟨10.1051/m2an:2004015⟩
Journal articles hal-00018460 v1
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Time Discretizations for Maxwell-Bloch Equations

Brigitte Bidégaray
Numerical Methods for Partial Differential Equations, 2003, 19 (3), pp.284-300. ⟨10.1002/num.10046⟩
Journal articles istex hal-00319990 v1
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Multidimensional corrections to cell-centered finite volume methods for Maxwell equations

Brigitte Bidégaray , Jean-Michel Ghidaglia
Applied Numerical Mathematics: an IMACS journal, 2003, 44 (3), pp.281-298. ⟨10.1016/S0168-9274(02)00171-X⟩
Journal articles hal-00319992 v1
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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⟩
Journal articles hal-00319991 v1
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Numerical study of self-focusing solutions to the Schrödinger-Debye system

Christophe Besse , Brigitte Bidégaray
ESAIM: Mathematical Modelling and Numerical Analysis, 2001, 35 (1), pp.35-55. ⟨10.1051/m2an:2001106⟩
Journal articles hal-00319989 v1
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Introducing physical relaxation terms in Bloch equations

Brigitte Bidégaray-Fesquet , Antoine Bourgeade , Didier Reignier
Journal of Computational Physics, 2001, 170 (2), pp.603-613. ⟨10.1006/jcph.2001.6752⟩
Journal articles istex hal-00453872 v1
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The Cauchy Problem for Schrödinger-Debye equations

Brigitte Bidégaray
Mathematical Models and Methods in Applied Sciences, 2000, 10 (3), pp.307-315. ⟨10.1142/S0218202500000185⟩
Journal articles hal-00319988 v1

On the Cauchy problem for some systems occurring in nonlinear optics

Brigitte Bidégaray
Advances in Differential Equations, 1998, 3, pp.473-496. ⟨10.57262/ade/1366399850⟩
Journal articles hal-00319986 v1
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A perturbative analysis of the time-envelope approximation in strong Langmuir turbulence

Luc Bergé , Brigitte Bidégaray , Thierry Colin
Physica D: Nonlinear Phenomena, 1996, 95 (3-4), pp.351-379. ⟨10.1016/0167-2789(96)00058-9⟩
Journal articles istex hal-00319987 v1

On a nonlocal Zakharov equation

Brigitte Bidégaray
Nonlinear Analysis: Theory, Methods and Applications, 1995, 25 (3), pp.247-278. ⟨10.1016/0362-546X(94)00136-6⟩
Journal articles hal-00319982 v1
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Invariant measures for some partial differential equations

Brigitte Bidégaray
Physica D: Nonlinear Phenomena, 1995, 82 (4), pp.340-364. ⟨10.1016/0167-2789(94)00238-L⟩
Journal articles istex hal-00319984 v1
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Etude d'équations intervenant en optique non linéaire

Brigitte Bidégaray
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1994, 319, pp.361-364
Journal articles hal-00319996 v1

Régimes particuliers pour l’équation de Maxwell-Bloch

Brigitte Bidégaray-Fesquet
Mathematical and Numerical Methods for Electromagnetism Mini-Workshop, Jul 2023, Montpellier, France
Conference papers hal-04192379 v1

On the numerical coupling for laser-quantum metamaterial interaction models

Brigitte Bidégaray-Fesquet , Clément Jourdana
13th International Symposium on Electric and Magnetic Fields (EMF 2023), Aug 2023, Marseille, France
Conference papers hal-04192208 v1
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Event-Based Set-point Tracking Based on a State Observer

Brigitte Bidégaray-Fesquet , Nacim Meslem , Fairouz Zobiri
EBCCSP 2021 - 7th International Conference on Event Based Control, Communication, and Signal Processing (EBCCSP 2021), Jun 2021, Cracovie, Poland. ⟨10.1109/EBCCSP53293.2021.9502361⟩
Conference papers hal-03274232 v1
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On a Bloch-type model with electron-phonon interactions: modeling and numerical simulations

Brigitte Bidégaray-Fesquet , Clément Jourdana , Kole Keita
12th International Conference on Scientific Computing in Electrical Engineering (SCEE 2018), Sep 2018, Taormina, Italy. pp.105-113, ⟨10.1007/978-3-030-44101-2_10⟩
Conference papers hal-02043321 v1
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A new synthesis approach for non-uniform filters in the log-scale: proof of concept

Brigitte Bidégaray-Fesquet , Laurent Fesquet
5th International Conference on Event-Based Control, Communication, and Signal Processing, May 2019, Vienna, Austria. pp.1-7, ⟨10.1109/EBCCSP.2019.8836919⟩
Conference papers hal-02157365 v1
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Event-Based Integral Control for Output Disturbance Rejection

Fairouz Zobiri , Nacim Meslem , Brigitte Bidégaray-Fesquet
EBCCSP 2019 - 5th IEEE Conference on Event-Based Control Communication and Signal Processing, May 2019, Vienne, Austria. pp.1-6, ⟨10.1109/EBCCSP.2019.8836836⟩
Conference papers hal-02157368 v1

Un modèle de type Bloch pour modéliser l’interaction électron–phonon

Brigitte Bidégaray-Fesquet , Clément Jourdana , Kole Keita
9e Biennale Française des Mathématiques Appliquées et Industrielles, May 2019, Guidel, France
Conference papers hal-02157370 v1

Bloch equations: beyond the raw model

Brigitte Bidégaray-Fesquet
Mini-workshop "Quantum and Electromagnetic Optics", Jun 2019, Montpellier, France
Conference papers hal-02157371 v1
Image document

Infinite Impulse Response Filters for Nonuniform Data

Brigitte Bidégaray-Fesquet , Laurent Fesquet
3rd International Conference on Advances in Signal, Image and Video Processing (SIGNAL 2018), May 2018, Nice, France. pp.67-72
Conference papers hal-01802340 v1
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An event-based point of view on the control of insulin-dependent diabetes

Brigitte Bidégaray-Fesquet
4th International Conference on Event Based Control, Communication, and Signal Processing (EBCCSP 2018), Jun 2018, Perpignan, France
Conference papers hal-01802365 v1

Asynchronous Filters

Laurent Fesquet , Brigitte Bidégaray-Fesquet
4th International Conference on Event-Based Control, Communications, and Signal Processing (EBCCSP 2018), Jun 2018, Perpignan, France
Conference papers hal-01827398 v1

Suivi de trajectoire évènementiel

Brigitte Bidégaray-Fesquet , Nacim Meslem , Fairouz Zobiri
SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2017, La Tremblade, France
Conference papers hal-01514129 v1
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Event-Triggered Stabilizing Controllers Based on an Exponentially Decreasing Threshold

Fairouz Zobiri , Nacim Meslem , Brigitte Bidégaray-Fesquet
EBCCSP 2017 - 3rd IEEE Conference on Event-Based Control Communication and Signal Processing, May 2017, Funchal, Portugal. pp.1-8, ⟨10.1109/EBCCSP.2017.8022821⟩
Conference papers hal-01514134 v1
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Levels, peaks, slopes... which sampling for which purpose?

Brigitte Bidégaray-Fesquet , Laurent Fesquet
Second International Conference on Event-Based Control, Communications, and Signal Processing, Jun 2016, Krakow, Poland. pp.1-6, ⟨10.1109/EBCCSP.2016.7605261⟩
Conference papers hal-01324990 v1
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Event-Based Sampling Algorithm for Setpoint Tracking Using a State-Feedback Controller

Fairouz Zobiri , Nacim Meslem , Brigitte Bidégaray-Fesquet
EBCCSP 2016 - 2nd IEEE Conference on Event-Based Control Communication and Signal Processing, Jun 2016, Cracovie, Poland. ⟨10.1109/EBCCSP.2016.7605235⟩
Conference papers hal-01364026 v1
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Correctly Sizing FIR Filter Architecture in the Framework of Non-uniform Sampling

Jean Simatic , Laurent Fesquet , Brigitte Bidégaray-Fesquet
11th International Conference on Sampling Theory and Applications (SampTA'15), May 2015, Washington, DC, United States. pp.269-273, ⟨10.1109/SAMPTA.2015.7148894⟩
Conference papers hal-01187290 v1
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Noise and offset in the IIR filtering of event-based sampled data

Brigitte Bidégaray-Fesquet
1st International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2015) , Jun 2015, Cracovie, Poland. ⟨10.1109/EBCCSP.2015.7300694⟩
Conference papers hal-01228965 v1

Traitement de signaux non uniformes : application en électronique

Brigitte Bidégaray-Fesquet , Laurent Testard
SMAI 2015 - 7e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2015, Les Karellis, France
Conference papers hal-01228968 v1

Mitigating the data-deluge by an adequate sampling for low-power systems

Laurent Fesquet , Tugdual Le Pelleter , Amani Darwish , Taha Beyrouthy , Brigitte Bidégaray-Fesquet
ICCHA5 - 5th International Conference on Computational Harmonic Analysis, May 2014, Nashville, United States. pp.17
Conference papers hal-01061132 v1

Compression and signal processing using level-crossing sampling

Brigitte Bidégaray-Fesquet
ICCHA5 - 5th International Conference on Computational Harmonic Analysis, May 2014, Nashville, United States
Conference papers hal-00974827 v1

Un modèle asymptotique pour les solutions de faible amplitude du berceau de Newton

Brigitte Bidégaray-Fesquet , Eric Dumas , Guillaume James
CANUM 2014 - Congrès National d'Analyse Numérique, Mar 2014, Carry-le-Rouet, France
Conference papers hal-00974878 v1

Quantum models for laser-matter interaction

Brigitte Bidégaray-Fesquet
Workshop on Mathematical Methods and Models in Laser Filamentation, Mar 2014, Montréal, Canada
Conference papers hal-00974816 v1

An asymptotic model for small amplitude solutions to Newton's cradle

Brigitte Bidégaray-Fesquet , Eric Dumas , Guillaume James
2014 SIAM Conference on Nonlinear Waves and Coherent Structures, Aug 2014, Cambridge, United Kingdom
Conference papers hal-00974845 v1
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Level crossing sampling of strongly monoHölder functions

Brigitte Bidégaray-Fesquet , Marianne Clausel
SampTA'13 - 10th International Conference on Sampling Theory and Applications, Jul 2013, Brême, Germany. pp.193-196
Conference papers hal-00905185 v1

Recalage de courbes non uniformément échantillonnées

Brigitte Bidégaray-Fesquet , Frédérique Leblanc
SMAI 2013 - 6e Biennale Française des Mathématiques Appliquées et Industrielles, May 2013, Seignosse, France
Conference papers hal-00905183 v1

Modeling Coulomb interactions in a quantum box Bloch model

Brigitte Bidégaray-Fesquet , Kole Keita
WLMI 2012 - 3rd International Workshop on Laser-Matter Interaction, Jun 2012, Porquerolles, France
Conference papers hal-00750505 v1

Impact of metallic interface description on sub-wavelength cavity mode computations

Brigitte Bidégaray-Fesquet , Eric Dumas
Polaritons 2011 - Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, Apr 2011, Marseille, France
Conference papers hal-00905182 v1
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Non-Uniform Filter Design in the Log-Scale

Brigitte Bidégaray-Fesquet , Laurent Fesquet
SampTA'11- 9th International Conference on Sampling Theory and Applications, May 2011, Singapore, Singapore. pp.art. 150
Conference papers hal-00646287 v1

Numerical stability for linear dispersive media via computer algebra

Brigitte Bidégaray-Fesquet
ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada
Conference papers hal-00750500 v1

Nonlinear Bloch equations for laser-quantum dot interactions

Brigitte Bidégaray-Fesquet
WLMI 2010 - 2nd International Workshop on Laser-Matter Interaction, Sep 2010, Porquerolles, France
Conference papers hal-00905180 v1
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Targeting ultra-low power consumption with non-uniform sampling and filtering

Laurent Fesquet , Gilles Sicard , Brigitte Bidégaray-Fesquet
ISCAS'10 - IEEE International Symposium on Circuits and Systems, May 2010, Paris, France. pp.3585-3588, ⟨10.1109/ISCAS.2010.5537804⟩
Conference papers hal-00517684 v1

Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations

Brigitte Bidégaray-Fesquet , Eric Dumas
Waves 2009 - 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Jun 2009, Pau, France. pp.394-395
Conference papers hal-00748101 v1
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A fully nonuniform approach to FIR filtering

Brigitte Bidégaray-Fesquet , Laurent Fesquet
SAMPTA'09 - International Conference on Sampling Theory and Applications, May 2009, Marseille, France. pp.129: 1-4
Conference papers hal-00453350 v1

Quantum modeling of laser-quantum dots interactions

Brigitte Bidégaray-Fesquet
New trends for modeling laser-matter interaction, Oct 2008, Marseille, France
Conference papers hal-00750549 v1
Image document

A non local Schrödinger model for the propagation of waves in a photorefractive medium

Brigitte Bidégaray-Fesquet
Waves 2007 - 9th International Conference on Mathematical and Numerical Aspects of Waves, Jul 2007, Reading, United Kingdom. pp.318-320
Conference papers hal-00171508 v1
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Von-Neumann stability analysis of FD-TD methods in complex media

Brigitte Bidégaray-Fesquet
EMF 2006 - 7th International Symposium on Electric and Magnetic Fields -- From Numerical Models to Industrial Applications, Jun 2006, Aussois, France. pp.16: 1-4
Conference papers hal-00171506 v1

Stabilité de schémas aux différences finies pour la propagation de la lumière dans les milieux complexes

Brigitte Bidégaray-Fesquet
38ème Congrès National d'Analyse Numérique, May 2006, Guidel, France
Conference papers hal-00104009 v1

Modélisation de matériaux photoréfractifs

Brigitte Bidégaray-Fesquet
Journées EDP Rhône-Alpes, Nov 2006, Saint-Etienne, France
Conference papers hal-00171640 v1

Modèles d'interaction radiation-matière en milieu résonnant

Brigitte Bidégaray
Rencontre du non-linéaire 2002, Mar 2002, Paris, France. pp.1-6
Conference papers hal-00320000 v1
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Multi-level Maxwell-Bloch simulations

Brigitte Bidégaray , Antoine Bourgeade , Didier Reignier , Richard Ziolkowski
Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves 2000), 2000, Santiago de Compostela, Spain. pp.221-225
Conference papers hal-00319999 v1
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Second order corrections to the finite volume upwind scheme for the 2D Maxwell equations

Brigitte Bidégaray , Jean-Michel Ghidaglia
Finite Volumes For Complex Applications, 1999, Duisbourg, Germany. pp.483-490
Conference papers hal-00319998 v1
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On a nonlocal Zakharov equation

Brigitte Bidégaray
Nonlinear Evolution Equations and Dynamical Systems (NEEDS'92), 1992, Dubna, Russia. pp.348-355
Conference papers hal-00319997 v1
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CasuHAL, club utilisateur de l'archive ouverte HAL

Nicolas Alarcon , Marlène Delhaye , Celia Lentretien , Brigitte Bidégaray-Fesquet , Colette Orange et al.
Science ouverte au Sud, Oct 2019, Dakar, Sénégal. pp.1, 2019
Conference poster hal-02354933 v1

On a Bloch-type model with electron-phonon interactions: modeling and numerical simulations

Brigitte Bidégaray-Fesquet , Clément Jourdana , Kole Keita
12th international conference on Scientific Computing in Electrical Engineering (SCEE 2018) , Sep 2018, Taormina, Italy
Conference poster hal-01830656 v1

Signal Processing for AsynchronouS Systems (SPASS)

Brigitte Bidégaray-Fesquet , Laurent Fesquet
France, Patent n° : IDDN.FR.001.080019.000.S.P.2012.000.31235. 2012
Patents hal-01910147 v1
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Etude qualitative d'équation d'ondes dispersives

Brigitte Bidégaray
Equations aux dérivées partielles [math.AP]. Université de Paris-Sud, 1994. Français. ⟨NNT : ⟩
Theses tel-03040719 v1