UMR 5224


Brigitte Bidégaray-Fesquet — Publications

Peer-reviewed journals

[A.1] Brigitte Bidégaray. On a nonlocal Zakharov equation. Nonlinear Analysis, Theory, Methods and Applications, 25, 247–278 (1995).
[A.2] Brigitte Bidégaray. Invariant measures for some partial differential equations. Physica D, 82, 340–364 (1995).
[A.3] Luc Bergé, Brigitte Bidégaray, and Thierry Colin. A perturbative analysis of the time-envelope approximation in strong Langmuir turbulence. Physica D, 95, 351–379 (1996).
[A.4] Brigitte Bidégaray. On the Cauchy problem for systems occurring in nonlinear optics. Advances in Differential Equations, 3, 473–496 (1998).
[A.5] Brigitte Bidégaray. The Cauchy Problem for Schrödinger–Debye equations. Mathematical Models and Methods in Applied Sciences, 10, 307–315 (2000).
[A.6] Brigitte Bidégaray, Antoine Bourgeade, and Didier Reignier. Introducing physical relaxation terms in Bloch equations. Journal of Computational Physics, 170, 603–613 (2001).
[A.7] Christophe Besse and Brigitte Bidégaray. Numerical study of self-focusing solutions to Schrödinger–Debye system. Mathematical Modelling and Numerical Analysis, 35, 35–56 (2001).
[A.8] Christophe Besse, Brigitte Bidégaray, and Stéphane Descombes. Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM Journal on Numerical Analysis, 40, 26–40 (2002).
[A.9] Brigitte Bidégaray and Jean-Michel Ghidaglia. Multidimensional corrections to cell-centered finite volume methods for Maxwell equations. Applied Numerical Mathematics, 44, 281–298 (2003).
[A.10] Brigitte Bidégaray. Time discretizations for Maxwell–Bloch equations. Numerical Methods for Partial Differential Equations, 19, 284–300 (2003).
[A.11] Brigitte Bidégaray-Fesquet, François Castella, and Pierre Degond. From the Bloch model to the rate equations. Discrete and Continuous Dynamical Systems A, 11, 1–26 (2004), special issue "Qualitative Properties of Some Evolution Equations", D. Bresch, T. Colin, M. Ghil, and S. Wang eds.
[A.12] Christophe Besse, Brigitte Bidégaray-Fesquet, Antoine Bourgeade, Pierre Degond, and Olivier Saut. A Maxwell–Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. Mathematical Modelling and Numerical Analysis, 38, 321–344 (2004).
[A.13] Brigitte Bidégaray-Fesquet, François Castella, Éric Dumas, and Marguerite Gisclon. From Bloch model to the rate equations II: the case of almost degenerate energy levels. Mathematical Models and Methods in Applied Sciences, 14, 1785–1817 (2004).
[A.14] Brigitte Bidégaray-Fesquet et Jean-Claude Saut. On the propagation of an optical wave in a photorefractive medium. Mathematical Models and Methods in Applied Sciences, 17, 1883–1904 (2007).
[A.15] Brigitte Bidégaray-Fesquet. Stability of FD–TD schemes for Maxwell–Debye and Maxwell–Lorentz equations. SIAM Journal on Numerical Analysis, 46, 2551–2566 (2008).
[A.16] Laurent Fesquet and Brigitte Bidégaray-Fesquet. IIR Digital Filtering of Non-uniformly Sampled Signals via State Representation. Signal Processing, 90, 2811–2821 (2010).
[A.17] Brigitte Bidégaray-Fesquet. Positiveness and Pauli exception principle in raw Bloch equations for quantum boxes. Annals of Physics, 325, 2090–2102 (2010).
[A.18] Brigitte Bidégaray-Fesquet and Laurent Fesquet. Non-uniform filter interpolation in the frequency domain. Sampling Theory in Signal and Image Processing, 10, 17–35 (2011).
[A.19] Brigitte Bidégaray-Fesquet, Éric Dumas and Guillaume James. From Newton's cradle to the discrete p-Schrödinger equation SIAM Journal on Mathematical Analysis, 45, 3404–3430 (2013).
[A.20] Brigitte Bidégaray-Fesquet and Kole Keita. A nonlinear Bloch model for Coulomb interaction in quantum dots. Journal of Mathematical Physics, 55, 021501 (2014).
[A.21] Brigitte Bidégaray-Fesquet, Quentin Jouet, and Stéphane Labbé. Static ferromagnetic materials: from the microscopic to the mesoscopic scale. Communications in Contemporary Mathematics, 16, 1350013:1–24 (2014).
[A.22] Brigitte Bidégaray-Fesquet and Marianne Clausel. Data driven sampling of oscillating signals. Sampling Theory in Signal and Image Processing, 13, 175–187 (2014).
[A.23] Brigitte Bidégaray-Fesquet and Éric Dumas. Impact of metallic interface description on sub-wavelength cavity mode computations. Submitted to publication (2011).
[A.24] Brigitte Bidégaray-Fesquet and Laurent Fesquet. A new synthesis approach for non-uniform filters in the log-scale: proof of concept. Submitted to publication (2012).

Comptes Rendus à l'Académie des Sciences

[A.0] Brigitte Bidégaray. Etude d'équations intervenant en optique non linéaire. C. R. Acad. S. Série I, 319, 361–364 (1994).

Books

[L.1] Brigitte Bidégaray and Lionel Moisan. Petits problèmes de Mathématiques Appliquées et de Modélisation. 145 pages, Springer (2000).
[L.2] Jean-Michel Ghidaglia, François Sauvageot, Brigitte Bidégaray, and Lionel Moisan. L'Intégrale de Scopos, Mathématiques, Classes de spéciales. Petits problèmes d'analyse/Petits problèmes de géométrie et d'algèbre/Petits problèmes de mathématiques appliquées et de modélisation. Collection Scopos 4/7/9, Springer (2000).
[L.3] Brigitte Bidégaray-Fesquet. Hiérarchie de modèles en optique quantique. De Maxwell–Bloch à Schrödinger non linéaire. XIV+175 pages, Collection Mathématiques et Applications, volume 49, Springer (2006). (order form)

Peer-reviewed conference proceedings

[P.1] Brigitte Bidégaray. On a nonlocal Zakharov equation. in Nonlinear Evolution Equations and Dynamical Systems (NEEDS'92), Dubna, Russia (1992). 348-355, Makhankov et al. eds., World Scientific (1993).
[P.2] Brigitte Bidégaray and Jean-Michel Ghidaglia. Second order corrections to the finite volume upwind scheme for the 2D Maxwell equations. in Finite Volumes For Complex Applications II, Duisbourg, Germany. 483-490, Vilsmeier et al. eds., Hermes (1999).
[P.3] Brigitte Bidégaray, Antoine Bourgeade, Didier Reignier, and Richard Ziolkowski. Multi-level Maxwell-Bloch simulations. in Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves 2000), Santiago de Compostela, Spain (2000). 221-225, SIAM (2000).
[P.4] Brigitte Bidégaray. Modèles d'interaction radiation-matière. in Compte-rendus de la 5ème Rencontre du non linéaire 2002. 1-6, Y. Pomeau and R. Ribotta eds., Non linéaire Publications, Orsay (2002).
[P.5] Brigitte Bidégaray-Fesquet. Von-Neumann stability analysis of FD-TD methods in complex media. in 7th International Symposium on Electric and Magnetic Fields (EMF 2006), Aussois. 16/1-4, G. Meunier et P. Dular eds., CD-ROM (2007).
[P.6] Brigitte Bidégaray-Fesquet. A non local Schrödinger model for the propagation of waves in a photorefractive medium. in 8th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2007), Reading, England. 318-320, N. Biggs et al. eds. (2007).
[P.7] Brigitte Bidégaray-Fesquet and Laurent Fesquet. A fully non-uniform approach to FIR filtering. in 8th International Conference on Sampling Theory and Applications (SampTa'09), Marseille, France. (2009).
[P.8] Brigitte Bidégaray-Fesquet and Éric Dumas. Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations. in 9th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2009), Pau, France. 394-395, H. Barucq et al. eds., INRIA (2009).
[P.9] Laurent Fesquet, Gilles Sicard, and Brigitte Bidégaray-Fesquet. Targeting ultra-low power consumption with non-uniform sampling and filtering. IEEE International Symposium on Circuits and Systems (ISCAS2010), Paris, France. 3585-3588, IEEE (2010).
[P.10] Brigitte Bidégaray-Fesquet and Laurent Fesquet. Non-uniform filter design in the log-scale. in 9th International Conference on Sampling Theory and Applications (SampTa'11), Singapour, (2011).
[P.11] Brigitte Bidégaray-Fesquet and Marianne Clausel. Level crossing sampling of strongly monoHölder functions. 10th International Conference on Sampling Theory and Applications (SampTa'13), Bremen, Germany (2013).

Technical reports

[R.1] Brigitte Bidégaray. Calcul formel de corrections multidimensionnelles pour des schémas volumes-finis collocalisés pour les équations de Maxwell. MIP 01.13 report (2001).
[R.2] Brigitte Bidégaray-Fesquet. Analyse de von Neumann de schémas aux différences finies pour les équations de Maxwell-Debye et Maxwell-Lorentz. LMC-IMAG 1077-M report (2005).

Dissertations

[T.1] Brigitte Bidégaray. Étude qualitative d'équations d'ondes dispersives. PhD thesis defended on May 24th 1994. University Paris-South 11.
[T.2] Brigitte Bidégaray. Contributions à l'électromagnétisme dans le domaine temporel. Modélisation classique et quantique en optique non linéaire. Habilitation defended on October 3rd 2001. University Toulouse 3.