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Brigitte Bidégaray-Fesquet

86
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Researcher identifiers

Presentation

**Modélisation physique, mathématique et numérique en électromagnétisme non linéaire. Traitement des signaux non uniformes.** Chargée de recherche au CNRS. Membre du [Laboratoire Jean Kuntzmann](http://ljk.imag.fr/), [équipe EDP](http://ljk.imag.fr/EDP/).
**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](http://ljk.imag.fr/), [PDE team](http://ljk.imag.fr/EDP/).

Publications

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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, inPress, pp.1-26. ⟨10.1080/10236198.2023.2300726⟩
Journal articles hal-03283849v1
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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-02294954v1
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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-02171976v1
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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-02171814v1
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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-01724116v1
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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-00639759v3
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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-00905184v2
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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-00738063v5
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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-00831868v1

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-00646536v1
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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-00493354v1
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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-00270556v3
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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-00005368v1
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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-00135644v2
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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-00001303v1
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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-00319994v1
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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-00018460v1
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Multidimensional corrections to cell-centered finite volume methods for Maxwell equations

Brigitte Bidégaray , Jean-Michel Ghidaglia
Applied Numerical Mathematics, 2003, 44 (3), pp.281-298. ⟨10.1016/S0168-9274(02)00171-X⟩
Journal articles hal-00319992v1
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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 hal-00319990v1
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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-00319991v1
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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 hal-00453872v1
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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-00319989v1
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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-00319988v1

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-00319986v1
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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 hal-00319987v1

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-00319982v1
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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 hal-00319984v1
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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-00319996v1

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-04192379v1

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-04192208v1
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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-03274232v1
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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-02157365v1

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-02157370v1
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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-02157368v1

Bloch equations: beyond the raw model

Brigitte Bidégaray-Fesquet
Mini-workshop "Quantum and Electromagnetic Optics", Jun 2019, Montpellier, France
Conference papers hal-02157371v1
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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-01802365v1

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-01827398v1
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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-02043321v1
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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-01802340v1

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-01514129v1
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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-01514134v1
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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-01324990v1
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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-01364026v1
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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-01187290v1
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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-01228965v1

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-01228968v1

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-00974878v1

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-00974816v1

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-01061132v1

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-00974827v1

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-00974845v1
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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-00905185v1

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-00905183v1

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-00750505v1

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-00905182v1
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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-00646287v1

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-00750500v1

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-00905180v1
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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-00517684v1

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-00748101v1
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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-00453350v1

Quantum modeling of laser-quantum dots interactions

Brigitte Bidégaray-Fesquet
New trends for modeling laser-matter interaction, Oct 2008, Marseille, France
Conference papers hal-00750549v1
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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-00171508v1

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-00104009v1
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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-00171506v1

Modélisation de matériaux photoréfractifs

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

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-00320000v1
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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-00319999v1
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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-00319998v1
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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-00319997v1
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CasuHAL, club utilisateur de l'archive ouverte HAL

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

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-01830656v1

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-01910147v1
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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-03040719v1