Publications

(2023). The logarithmic Bramson correction for Fisher-KPP equations on the lattice $\mathbb{Z}$. Transactions of the American Mathematical Society.

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(2023). An implicit time integration approach for simulation of corona discharges. HAL.

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(2022). Perfectly Matched Layers Methods for Mixed Hyperbolic--Dispersive Equations. Water Waves.

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(2022). High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling. J. Comput. Phys.

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(2022). Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs. Annales Henri Lebesgue.

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(2022). Asymptotic behavior of nonlocal bistable reaction-diffusion equations. AIMS DCDS-B.

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(2021). Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library. SMAI Journal of Computational Mathematics.

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(2021). Spreading properties for SIR models on homogeneous trees. Bull. Math. Biol..

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(2021). Dynamics of epidemic spreading on connected graphs. J. Math. Biol.

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(2020). Energy-preserving methods for nonlinear Schrödinger equations. IMA Journal of Numerical Analysis.

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(2020). Discrete transparent boundary conditions for the two-dimensional leap-frog scheme. ESAIM: Mathematical Modelling and Numerical Analysis.

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(2020). A conservation law with spatially localized sublinear damping. Ann. Inst. H. Poincaré Anal. Non Linéaire.

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(2018). Well-suited and adaptive post-processing for the visualization of $hp$ simulation results. J. Comput. Phys..

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(2018). Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation. Numer. Math..

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(2018). Accurate, automatic and compressed visualization of radiated Helmholtz fields from boundary element solutions. Computational science—ICCS 2018. Part I.

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(2017). Restoring quasireversibility with a single topological charge. Phys. Rev. A.

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(2017). Discrete transparent boundary conditions for the mixed KDV-BBM equation. J. Comput. Phys..

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(2017). Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. Comput. Phys. Commun..

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(2016). Discrete artificial boundary conditions for the linearized Korteweg--de Vries equation. Numer. Methods Partial Differential Equations.

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(2015). Nonlinear optical and atomic systems. Springer, Cham; CEMPI, Villeneuve d’Ascq.

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(2014). Excitation of radial collective modes in a quantum dot: Beyond linear response. Annalen der Physik.

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(2013). Transparent boundary conditions for locally perturbed infinite hexagonal periodic media. Commun. Math. Sci..

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(2013). Efficient numerical methods for strongly anisotropic elliptic equations. J. Sci. Comput..

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(2013). An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Multiscale Model. Simul..

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(2011). Numerical Simulations of Ionospheric Dynamo Model in a Non‐uniform Magnetic Field . AIP Conference Proceedings.

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(2011). Numerical approximation of Knudsen layer for the Euler-Poisson system. CEMRACS'10 research achievements: numerical modeling of fusion.

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(2011). Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Adv. Appl. Math. Mech..

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(2011). Absorbing boundary conditions for general nonlinear Schrödinger equations. SIAM J. Sci. Comput..

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(2010). Open boundary conditions and computational schemes for Schrödinger equations with general potentials and nonlinearities. Some problems on nonlinear hyperbolic equations and applications.

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(2010). On hydrodynamic models for LEO spacecraft charging. Some problems on nonlinear hyperbolic equations and applications.

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(2010). Comparison of Vlasov solvers for spacecraft charging simulation. M2AN Math. Model. Numer. Anal..

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(2009). Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Cubo.

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(2009). CANUM 2008. EDP Sciences, Les Ulis.

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(2008). Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence. Discrete Contin. Dyn. Syst. Ser. B.

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(2008). A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Commun. Comput. Phys..

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(2007). Numerical simulations of the ionospheric striation model in a non-uniform magnetic field. Computer Physics Communications.

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(2007). Nonlinear instability of the two-dimensional striation model about smooth steady states. Comm. Partial Differential Equations.

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(2006). Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. SIAM J. Numer. Anal..

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(2005). Numerical studies for nonlinear Schrödinger equations: the Schrödinger-Poisson-X$α$ model and Davey-Stewartson systems. Numerical methods for hyperbolic and kinetic problems.

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(2005). Ionospheric plasmas: model derivation, stability analysis and numerical simulations. Numerical methods for hyperbolic and kinetic problems.

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(2005). Instability of the ionospheric plasma: modeling and analysis. SIAM J. Appl. Math..

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(2004). Numerical study of the Davey-Stewartson system. M2AN Math. Model. Numer. Anal..

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(2004). A model hierarchy for ionospheric plasma modeling. Math. Models Methods Appl. Sci..

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(2004). A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. M2AN Math. Model. Numer. Anal..

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(2002). Order estimates in time of splitting methods for the nonlinear Schrödinger equation. SIAM J. Numer. Anal..

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(2001). Une étude microlocale quasi-analytique d'une condition transparente pour l'équation de Schrödinger linéaire. Actes des VI èmes Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques (Jaca, 1999).

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(2001). Une étude microlocale quasi-analytique d'une condition transparente pour l'équation de Schrödinger linéaire. Actes des VI$^m̊ grave emes$ Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques (Jaca, 1999).

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(2001). Numerical study of self-focusing solutions to the Schrödinger-Debye system. M2AN Math. Model. Numer. Anal..

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(2001). A numerical study of the long-wave short-wave resonance for 3D water waves. Eur. J. Mech. B Fluids.

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(2000). Étude microlocale d'une condition transparente pour l'équation de Schrödinger linéaire. C. R. Acad. Sci. Paris Sér. I Math..

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(2000). Relaxation scheme for time dependent nonlinear Schrödinger equations. Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000).

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(2000). Quasi-analytic determination of the Dirichlet-to-Neumann operator associated to a linear Schrödinger-type equation. Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000).

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(1998). Numerical study of elliptic-hyperbolic Davey-Stewartson system: dromions simulation and blow-up. Math. Models Methods Appl. Sci..

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