About me

I am Director of the CNRS National Institute for Mathematical Sciences and their Interactions (INSMI) since August 2021. I am currently seconded to the CNRS as a Senior Researcher and member of the Institut de Mathématiques de Toulouse - UMR 5219. My research topics concern mathematical and numerical analysis as well as scientific computing. I am particularly interested in the derivation of accurate and efficient numerical schemes to compute solutions to partial differential dispersive equations. One of my other favorative topic of research concerns analysis of transparent and absorbing boundary conditions.

I was head of CIMI LabEx, International Center of Mathematics and Computer Science of Toulouse from 2014 to 2021.

Interests
  • Applied mathematics
  • Scientific computing
  • Numerical analysis
Education

  • Habilitation Thesis, 2004

    Toulouse 3 University

  • PhD in Applied Mathematics, 1998

    Bordeaux University

Featured Publications

See below for a full list of publications

Christophe Besse, Romain Duboscq, Stefan Le Coz
December 2021 SMAI Journal of Computational Mathematics
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library

We introduce a Python library to compute solution of nonlinear quantum graphs problems
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Recent Publications

Christophe Besse, Tuan Dung Nguyen, François Rogier (2023). An implicit time integration approach for simulation of corona discharges. HAL.

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Christophe Besse, Romain Duboscq, Stéphane Le Coz (2023). Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis. HAL.

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Christophe Besse, Grégory Faye, Jean-Michel Roquejoffre, Mingmin Zhang (2023). The logarithmic Bramson correction for Fisher-KPP equations on the lattice $\mathbb{Z}$. Transactions of the American Mathematical Society.

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Christophe Besse, Sergey Gavrilyuk, Maria Kazakova, Pascal Noble (2022). Perfectly Matched Layers Methods for Mixed Hyperbolic--Dispersive Equations. Water Waves.

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Christophe Besse, Alexandre Capel, Grégory Faye, Guilhem Fouilhé (2022). Asymptotic behavior of nonlocal bistable reaction-diffusion equations. AIMS DCDS-B.

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Recent & Upcoming Talks

Propagation d’épidémie sur des graphes connectés
Je présenterai un travail récent réalisé avec Grégory Faye concernant la propagation d’épidémies sur des graphes métriques. Après avoir rappelé quelques résultats sur le modèle SIR standard, j’expliquerai les motivations de notre modèle. Je présenterai les résultats théoriques en insistant sur les résultats asymptotiques. Je montrerai comment construire un schéma numérique adapté et fournirait plusieurs illustrations numériques.
Tue, Jan 26, 2021 11:00 — 12:00 Institut de Mathématiques de Toulouse
Video
Conditions aux limites transparentes discrètes
Lorsque des équations aux dérivées partielles sont définies sur un domaine infini, il est nécessaire pour réaliser des simulations …
Thu, Feb 13, 2020 11:00 — Wed, Feb 12, 2020 12:00 Laboratoire Paul Painlevé, Université de Lille
Energy preserving method for nonlinear Schrödinger equations
Abstract: The Schrödinger equation is at heart of Bose Einstein Condensates with the celebrated Gross Pitaevskii equation. Such …
Tue, Nov 19, 2019 09:00 — 10:00 Institute for Mathematical Sciences, NUS Singapore
Slides Video
A conservation law with spatially localized sublinear damping
We consider a general conservation law on the circle, in the presence of a sublinear damping acting locally in space. Depending on the …
Wed, Jul 17, 2019 09:00 Valencia, Spain
Christophe Besse
Energy preserving method for nonlinear Schrodinger equations
The Schrödinger equation is at heart of Bose Einstein Condensates with the celebrated Gross Pitaevskii equation. Such dispersive …
Fri, Jun 21, 2019 09:00 Nantes, France
Christophe Besse
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Short CV

Christophe Besse

French citizen
Born May 23th 1971, Angoulême, France
Married, 3 children

Academic

Chair

Funded projects

  • Member of the ANR Nabuco , (2018-2021)
  • Member of the ANR Moonrise , (2015-2019)
  • Member of the ANR Bond , (2013-2017)
  • Co-PI of the ANR Becasim (2013-2016), Méthodes Numérique program
  • Member of the ANR LODIQUAS (2012-2014), Blanc International program
  • PI of the ANR Iodissee (2009-2013), Cosinus program, Conception et Simulation, funded by the ANR Agency
  • Co-PI of the ANR MicroWave (2009-2013), Blanc program, funded by the ANR Agency

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