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64 %

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81

Brigitte Bidégaray-Fesquet


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.


Journal articles27 documents

  • Marc E. Songolo, Brigitte Bidégaray-Fesquet. Strang splitting schemes for N-level Bloch models. International Journal of Modeling, Simulation, and Scientific Computing, World Scientific Publishing, In press. ⟨hal-02294954⟩
  • Fairouz Zobiri, Nacim Meslem, Brigitte Bidégaray-Fesquet. Self-triggered stabilizing controllers for linear continuous-time systems. International Journal of Robust and Nonlinear Control, Wiley, 2020, 30 (16), pp.6502-6517. ⟨10.1002/rnc.5123⟩. ⟨hal-02171976⟩
  • Fairouz Zobiri, Nacim Meslem, Brigitte Bidégaray-Fesquet. Event-Triggered Stabilizing Controllers for Switched Linear Systems. Nonlinear Analysis: Hybrid Systems, Elsevier, 2020, 36, pp.100831. ⟨10.1016/j.nahs.2019.100831⟩. ⟨hal-02171814⟩
  • Marc E. Songolo, Brigitte Bidégaray-Fesquet. Nonstandard finite difference schemes for the two-level Bloch model. International Journal of Modeling, Simulation, and Scientific Computing, World Scientific Publishing, 2018, 9 (4), pp.1850033:1-23. ⟨10.1142/S1793962318500332⟩. ⟨hal-01724116⟩
  • Brigitte Bidégaray-Fesquet, Marianne Clausel. Data driven sampling of oscillating signals. Sampling Theory in Signal and Image Processing, Sampling publishing, 2014, 13 (2), pp.175-187. ⟨10.1007/BF03549578⟩. ⟨hal-00905184v2⟩
  • Brigitte Bidégaray-Fesquet, Quentin Jouet, Stéphane Labbé. Static ferromagnetic materials: from the microscopic to the mesoscopic scale. Communications in Contemporary Mathematics, World Scientific Publishing, 2014, 16 (1), pp.1350013:1-24. ⟨10.1142/S0219199713500132⟩. ⟨hal-00639759v3⟩
  • Brigitte Bidégaray-Fesquet, Kole Keita. A nonlinear Bloch model for Coulomb interaction in quantum dots. Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (2), pp.021501:1-17. ⟨10.1063/1.4865426⟩. ⟨hal-00738063v5⟩
  • Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James. From Newton's cradle to the discrete p-Schrödinger equation. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2013, 45 (6), pp.3404-3430. ⟨10.1137/130924196⟩. ⟨hal-00831868⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. Non-uniform Filter interpolation in the frequency domain. Sampling Theory in Signal and Image Processing, Sampling publishing, 2011, 10 (1-2), pp.17-35. ⟨10.1007/BF03549532⟩. ⟨hal-00646536⟩
  • Brigitte Bidégaray-Fesquet. Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes. Annals of Physics, Elsevier Masson, 2010, 325 (10), pp.2090-2102. ⟨10.1016/j.aop.2010.05.003⟩. ⟨hal-00270556v3⟩
  • Laurent Fesquet, Brigitte Bidégaray-Fesquet. IIR digital filtering of non-uniformly sampled signals via state representation. Signal Processing, Elsevier, 2010, 90 (10), pp.2811-2821. ⟨10.1016/j.sigpro.2010.03.030⟩. ⟨hal-00493354⟩
  • Brigitte Bidégaray-Fesquet. Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2008, 46 (5), pp.2551-2566. ⟨10.1137/060671255⟩. ⟨hal-00005368⟩
  • Brigitte Bidégaray-Fesquet, Jean-Claude Saut. On the propagation of an optical wave in a photorefractive medium. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2007, 17 (11), pp.1883-1904. ⟨10.1142/S0218202507002509⟩. ⟨hal-00135644v2⟩
  • Christophe Besse, Brigitte Bidégaray-Fesquet, Antoine Bourgeade, Pierre Degond, Olivier Saut. A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2004, 38 (2), pp.321-344. ⟨10.1051/m2an:2004015⟩. ⟨hal-00018460⟩
  • Brigitte Bidégaray-Fesquet, François Castella, Eric Dumas, Marguerite Gisclon. From Bloch model to the rate equations II: the case of almost degenerate energy levels. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2004, 14 (12), pp.1785-1817. ⟨10.1142/s0218202504003829⟩. ⟨hal-00001303⟩
  • Brigitte Bidégaray-Fesquet, François Castella, Pierre Degond. From the Bloch model to the rate equations. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2004, 11 (1), pp.1-26. ⟨10.3934/dcds.2004.11.1⟩. ⟨hal-00319994⟩
  • Brigitte Bidégaray, Jean-Michel Ghidaglia. Multidimensional corrections to cell-centered finite volume methods for Maxwell equations. Applied Numerical Mathematics, Elsevier, 2003, 44 (3), pp.281-298. ⟨10.1016/S0168-9274(02)00171-X⟩. ⟨hal-00319992⟩
  • Brigitte Bidégaray. Time Discretizations for Maxwell-Bloch Equations. Numerical Methods for Partial Differential Equations, Wiley, 2003, 19 (3), pp.284-300. ⟨10.1002/num.10046⟩. ⟨hal-00319990⟩
  • Christophe Besse, Brigitte Bidégaray, Stéphane Descombes. Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2002, 40 (1), pp.26-40. ⟨10.1137/S0036142900381497⟩. ⟨hal-00319991⟩
  • Brigitte Bidégaray-Fesquet, Antoine Bourgeade, Didier Reignier. Introducing physical relaxation terms in Bloch equations. Journal of Computational Physics, Elsevier, 2001, 170 (2), pp.603-613. ⟨10.1006/jcph.2001.6752⟩. ⟨hal-00453872⟩
  • Christophe Besse, Brigitte Bidégaray. Numerical study of self-focusing solutions to the Schrödinger-Debye system. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2001, 35 (1), pp.35-55. ⟨10.1051/m2an:2001106⟩. ⟨hal-00319989⟩
  • Brigitte Bidégaray. The Cauchy Problem for Schrödinger-Debye equations. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2000, 10 (3), pp.307-315. ⟨10.1142/S0218202500000185⟩. ⟨hal-00319988⟩
  • Brigitte Bidégaray. On the Cauchy problem for some systems occurring in nonlinear optics. Advances in Differential Equations, Khayyam Publishing, 1998, 3, pp.473-496. ⟨hal-00319986⟩
  • Luc Bergé, Brigitte Bidégaray, Thierry Colin. A perturbative analysis of the time-envelope approximation in strong Langmuir turbulence. Physica D: Nonlinear Phenomena, Elsevier, 1996, 95 (3-4), pp.351-379. ⟨10.1016/0167-2789(96)00058-9⟩. ⟨hal-00319987⟩
  • Brigitte Bidégaray. Invariant measures for some partial differential equations. Physica D: Nonlinear Phenomena, Elsevier, 1995, 82 (4), pp.340-364. ⟨10.1016/0167-2789(94)00238-L⟩. ⟨hal-00319984⟩
  • Brigitte Bidégaray. On a nonlocal Zakharov equation. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 1995, 25 (3), pp.247-278. ⟨10.1016/0362-546X(94)00136-6⟩. ⟨hal-00319982⟩
  • Brigitte Bidégaray. Etude d'équations intervenant en optique non linéaire. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1994, 319, pp.361-364. ⟨hal-00319996⟩

Conference papers40 documents

  • Brigitte Bidégaray-Fesquet, Nacim Meslem, Fairouz Zobiri. Event-Based Set-point Tracking Based on a State Observer. EBCCSP 2021 - 7th International Conference on Event Based Control, Communication, and Signal Processing (EBCCSP 2021), Jun 2021, Cracovie, Poland. ⟨10.1109/EBCCSP53293.2021.9502361⟩. ⟨hal-03274232⟩
  • Brigitte Bidégaray-Fesquet, Clément Jourdana, Kole Keita. Un modèle de type Bloch pour modéliser l’interaction électron–phonon. 9e Biennale Française des Mathématiques Appliquées et Industrielles, May 2019, Guidel, France. ⟨hal-02157370⟩
  • Brigitte Bidégaray-Fesquet. Bloch equations: beyond the raw model. Mini-workshop "Quantum and Electromagnetic Optics", Jun 2019, Montpellier, France. ⟨hal-02157371⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. A new synthesis approach for non-uniform filters in the log-scale: proof of concept. 5th International Conference on Event-Based Control, Communication, and Signal Processing, May 2019, Vienna, Austria. pp.1-7, ⟨10.1109/EBCCSP.2019.8836919⟩. ⟨hal-02157365⟩
  • Fairouz Zobiri, Nacim Meslem, Brigitte Bidégaray-Fesquet. Event-Based Integral Control for Output Disturbance Rejection. 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⟩. ⟨hal-02157368⟩
  • Brigitte Bidégaray-Fesquet. An event-based point of view on the control of insulin-dependent diabetes. 4th International Conference on Event Based Control, Communication, and Signal Processing (EBCCSP 2018), Jun 2018, Perpignan, France. ⟨hal-01802365⟩
  • Laurent Fesquet, Brigitte Bidégaray-Fesquet. Asynchronous Filters. 4th International Conference on Event-Based Control, Communications, and Signal Processing (EBCCSP 2018), Jun 2018, Perpignan, France. ⟨hal-01827398⟩
  • Brigitte Bidégaray-Fesquet, Clément Jourdana, Kole Keita. On a Bloch-type model with electron-phonon interactions: modeling and numerical simulations. 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⟩. ⟨hal-02043321⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. Infinite Impulse Response Filters for Nonuniform Data. 3rd International Conference on Advances in Signal, Image and Video Processing (SIGNAL 2018), May 2018, Nice, France. pp.67-72. ⟨hal-01802340⟩
  • Brigitte Bidégaray-Fesquet, Nacim Meslem, Fairouz Zobiri. Suivi de trajectoire évènementiel. SMAI 2017 - 8e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2017, La Tremblade, France. ⟨hal-01514129⟩
  • Fairouz Zobiri, Nacim Meslem, Brigitte Bidégaray-Fesquet. Event-Triggered Stabilizing Controllers Based on an Exponentially Decreasing Threshold. 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⟩. ⟨hal-01514134⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. Levels, peaks, slopes... which sampling for which purpose?. Second International Conference on Event-Based Control, Communications, and Signal Processing, Jun 2016, Krakow, Poland. pp.1-6, ⟨10.1109/EBCCSP.2016.7605261⟩. ⟨hal-01324990⟩
  • Fairouz Zobiri, Nacim Meslem, Brigitte Bidégaray-Fesquet. Event-Based Sampling Algorithm for Setpoint Tracking Using a State-Feedback Controller. EBCCSP 2016 - 2nd IEEE Conference on Event-Based Control Communication and Signal Processing, Jun 2016, Cracovie, Poland. ⟨10.1109/EBCCSP.2016.7605235⟩. ⟨hal-01364026⟩
  • Jean Simatic, Laurent Fesquet, Brigitte Bidégaray-Fesquet. Correctly Sizing FIR Filter Architecture in the Framework of Non-uniform Sampling. 11th International Conference on Sampling Theory and Applications (SampTA'15), May 2015, Washington, DC, United States. pp.269-273, ⟨10.1109/SAMPTA.2015.7148894⟩. ⟨hal-01187290⟩
  • Brigitte Bidégaray-Fesquet. Noise and offset in the IIR filtering of event-based sampled data. 1st International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2015) , Jun 2015, Cracovie, Poland. ⟨10.1109/EBCCSP.2015.7300694⟩. ⟨hal-01228965⟩
  • Brigitte Bidégaray-Fesquet, Laurent Testard. Traitement de signaux non uniformes : application en électronique. SMAI 2015 - 7e Biennale Française des Mathématiques Appliquées et Industrielles, Jun 2015, Les Karellis, France. ⟨hal-01228968⟩
  • Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James. Un modèle asymptotique pour les solutions de faible amplitude du berceau de Newton. CANUM 2014 - Congrès National d'Analyse Numérique, Mar 2014, Carry-le-Rouet, France. ⟨hal-00974878⟩
  • Brigitte Bidégaray-Fesquet, Eric Dumas, Guillaume James. An asymptotic model for small amplitude solutions to Newton's cradle. 2014 SIAM Conference on Nonlinear Waves and Coherent Structures, Aug 2014, Cambridge, United Kingdom. ⟨hal-00974845⟩
  • Brigitte Bidégaray-Fesquet. Quantum models for laser-matter interaction. Workshop on Mathematical Methods and Models in Laser Filamentation, Mar 2014, Montréal, Canada. ⟨hal-00974816⟩
  • Brigitte Bidégaray-Fesquet. Compression and signal processing using level-crossing sampling. ICCHA5 - 5th International Conference on Computational Harmonic Analysis, May 2014, Nashville, United States. ⟨hal-00974827⟩
  • Laurent Fesquet, Tugdual Le Pelleter, Amani Darwish, Taha Beyrouthy, Brigitte Bidégaray-Fesquet. Mitigating the data-deluge by an adequate sampling for low-power systems. ICCHA5 - 5th International Conference on Computational Harmonic Analysis, May 2014, Nashville, United States. pp.17. ⟨hal-01061132⟩
  • Brigitte Bidégaray-Fesquet, Frédérique Leblanc. Recalage de courbes non uniformément échantillonnées. SMAI 2013 - 6e Biennale Française des Mathématiques Appliquées et Industrielles, May 2013, Seignosse, France. ⟨hal-00905183⟩
  • Brigitte Bidégaray-Fesquet, Marianne Clausel. Level crossing sampling of strongly monoHölder functions. SampTA'13 - 10th International Conference on Sampling Theory and Applications, Jul 2013, Brême, Germany. pp.193-196. ⟨hal-00905185⟩
  • Brigitte Bidégaray-Fesquet, Kole Keita. Modeling Coulomb interactions in a quantum box Bloch model. WLMI 2012 - 3rd International Workshop on Laser-Matter Interaction, Jun 2012, Porquerolles, France. ⟨hal-00750505⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. Non-Uniform Filter Design in the Log-Scale. SampTA'11- 9th International Conference on Sampling Theory and Applications, May 2011, Singapore, Singapore. pp.art. 150. ⟨hal-00646287⟩
  • Brigitte Bidégaray-Fesquet, Eric Dumas. Impact of metallic interface description on sub-wavelength cavity mode computations. Polaritons 2011 - Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, Apr 2011, Marseille, France. ⟨hal-00905182⟩
  • Brigitte Bidégaray-Fesquet. Numerical stability for linear dispersive media via computer algebra. ICIAM 2011 - 7th International Congress on Industrial and Applied Mathematics, Jul 2011, Vancouver, Canada. ⟨hal-00750500⟩
  • Brigitte Bidégaray-Fesquet. Nonlinear Bloch equations for laser-quantum dot interactions. WLMI 2010 - 2nd International Workshop on Laser-Matter Interaction, Sep 2010, Porquerolles, France. ⟨hal-00905180⟩
  • Laurent Fesquet, Gilles Sicard, Brigitte Bidégaray-Fesquet. Targeting ultra-low power consumption with non-uniform sampling and filtering. ISCAS'10 - IEEE International Symposium on Circuits and Systems, May 2010, Paris, France. pp.3585-3588, ⟨10.1109/ISCAS.2010.5537804⟩. ⟨hal-00517684⟩
  • Brigitte Bidégaray-Fesquet, Eric Dumas. Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations. Waves 2009 - 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, Jun 2009, Pau, France. pp.394-395. ⟨hal-00748101⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. A fully nonuniform approach to FIR filtering. SAMPTA'09 - International Conference on Sampling Theory and Applications, May 2009, Marseille, France. pp.129: 1-4. ⟨hal-00453350⟩
  • Brigitte Bidégaray-Fesquet. Quantum modeling of laser-quantum dots interactions. New trends for modeling laser-matter interaction, Oct 2008, Marseille, France. ⟨hal-00750549⟩
  • Brigitte Bidégaray-Fesquet. A non local Schrödinger model for the propagation of waves in a photorefractive medium. Waves 2007 - 9th International Conference on Mathematical and Numerical Aspects of Waves, Jul 2007, Reading, United Kingdom. pp.318-320. ⟨hal-00171508⟩
  • Brigitte Bidégaray-Fesquet. Stabilité de schémas aux différences finies pour la propagation de la lumière dans les milieux complexes. 38ème Congrès National d'Analyse Numérique, May 2006, Guidel, France. ⟨hal-00104009⟩
  • Brigitte Bidégaray-Fesquet. Von-Neumann stability analysis of FD-TD methods in complex media. EMF 2006 - 7th International Symposium on Electric and Magnetic Fields -- From Numerical Models to Industrial Applications, Jun 2006, Aussois, France. pp.16: 1-4. ⟨hal-00171506⟩
  • Brigitte Bidégaray-Fesquet. Modélisation de matériaux photoréfractifs. Journées EDP Rhône-Alpes, Nov 2006, Saint-Etienne, France. ⟨hal-00171640⟩
  • Brigitte Bidégaray. Modèles d'interaction radiation-matière en milieu résonnant. Rencontre du non-linéaire 2002, Mar 2002, Paris, France. pp.1-6. ⟨hal-00320000⟩
  • Brigitte Bidégaray, Antoine Bourgeade, Didier Reignier, Richard Ziolkowski. Multi-level Maxwell-Bloch simulations. Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves 2000), 2000, Santiago de Compostela, Spain. pp.221-225. ⟨hal-00319999⟩
  • Brigitte Bidégaray, Jean-Michel Ghidaglia. Second order corrections to the finite volume upwind scheme for the 2D Maxwell equations. Finite Volumes For Complex Applications, 1999, Duisbourg, Germany. pp.483-490. ⟨hal-00319998⟩
  • Brigitte Bidégaray. On a nonlocal Zakharov equation. Nonlinear Evolution Equations and Dynamical Systems (NEEDS'92), 1992, Dubna, Russia. pp.348-355. ⟨hal-00319997⟩

Poster communications2 documents

  • Nicolas Alarcon, Marlène Delhaye, Celia Lentretien, Brigitte Bidégaray-Fesquet, Colette Orange, et al.. CasuHAL, club utilisateur de l'archive ouverte HAL. Science ouverte au Sud, Oct 2019, Dakar, Sénégal. pp.1, 2019. ⟨hal-02354933⟩
  • Brigitte Bidégaray-Fesquet, Clément Jourdana, Kole Keita. On a Bloch-type model with electron-phonon interactions: modeling and numerical simulations. 12th international conference on Scientific Computing in Electrical Engineering (SCEE 2018) , Sep 2018, Taormina, Italy. ⟨hal-01830656⟩

Books1 document

  • Brigitte Bidégaray-Fesquet. Hiérarchie de modèles en optique quantique. De Maxwell-Bloch à Schrödinger non linéaire. Springer, 49, pp.171, 2006, Mathématiques & Applications, 978-3-540-37725-2. ⟨10.1007/3-540-37725-5⟩. ⟨hal-00104069⟩

Book sections1 document

  • Laurent Fesquet, Brigitte Bidégaray-Fesquet. Digital Filtering with Nonuniformly Sampled Data: From the Algorithm to the Implementation. Marek Miskowicz. Event-Based Control and Signal Processing, CRC Press, 2015, 9781482256550. ⟨hal-01228969⟩

Patents1 document

  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. Signal Processing for AsynchronouS Systems (SPASS). France, Patent n° : IDDN.FR.001.080019.000.S.P.2012.000.31235. 2012. ⟨hal-01910147⟩

Other publications2 documents

  • Brigitte Bidégaray-Fesquet. Faut-il croire les statistiques ?. 2018. ⟨hal-01906210⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. A new synthesis approach for non-uniform filters in the log-scale: proof of concept. 2012, 12 p. ⟨hal-00750061⟩

Preprints, Working Papers, ...4 documents

  • Marc E. Songolo, Brigitte Bidégaray-Fesquet. Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients. 2021. ⟨hal-03283849⟩
  • Brigitte Bidégaray-Fesquet, Laurent Fesquet. Non-uniform filter design. 2015. ⟨hal-01187269⟩
  • Brigitte Bidégaray-Fesquet, Eric Dumas. Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations. 2011. ⟨hal-00905175⟩
  • Brigitte Bidégaray-Fesquet. Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell-Debye and Maxwell-Lorentz Equations. 2008. ⟨hal-00005369v3⟩

Reports1 document

  • Nicolas Alarcon, Brigitte Bidégaray-Fesquet, Nicolas Boileau, Marlène Delhaye, Celia Lentretien, et al.. Casuhal - Enquête Adhérents 2020 : synthèse des résultats. [Rapport de recherche] Casuhal. 2020. ⟨hal-03263566⟩

Theses1 document

  • Brigitte Bidégaray. Etude qualitative d'équation d'ondes dispersives. Equations aux dérivées partielles [math.AP]. Université de Paris-Sud, 1994. Français. ⟨tel-03040719⟩