European Math. Soc. 2012
| Geometric numerical
integration and Schrödinger equations. European Math. Soc. 2012 |
| Scattering, random phase and wave
turbulence pdf with Antoine Mouzard To appear in Commun. Math. Phys. |
| Modulation algorithm for the nonlinear
Schrödinger equation pdf with Yoann Le Hénaff and Pierre Raphaël |
| Discrete Quantum Harmonic Oscillator and
Kravchuk transform pdf with Quentin Chauleur ESAIM: M2AN
(2024).
|
| Discrete pseudo-differential operators and
applications to numerical schemes pdf with Benoît Grébert Found. Comput. Math. (2024). https://doi.org/10.1007/s10208-024-09645-y |
| The evolutionary dynamics of plastic
foraging and its ecological consequences: a
resource-consumer model. pdf Leo Ledru, Jimmy Garnier, Océane Guillot, Erwan Faou, Camille Noûs, Sebastien Ibanez Peer Community Journal, 3 (2023) Section: Evolutionary Biology. Article no. e99. https://doi.org/10.24072/pcjournal.330 |
| Around plane waves solutions of the
Schrödinger-Langevin equation pdf with Quentin Chauleur SIAM J. Math. Anal. 54 (2022) 5103-5125. |
| On linear damping around inhomogeneous
stationary states of the Vlasov-HMF model pdf with Romain Horsin and Frédéric Rousset J. Dyn. Diff. Equat. 33 (2021) 1531-1577. Special issue in memory of Walter Craig |
| On weakly turbulent solutions to the
perturbed linear Harmonic oscillator pdf with Pierre Raphaël American Journal of Mathematics. 145 (2020) 1465-1507. |
| Long time behavior of the solutions of NLW
on the d-dimensional torus pdf
with Joackim Bernier and Benoît Grébert |
| Rational normal forms and stability of
small solutions to nonlinear Schrödinger equations pdf with Joackim Bernier and Benoît Grébert Annals of PDE 6, article number: 14 (2020) 65p. |
| Linearized wave turbulence convergence
results for three-wave systems pdf Commun. Math. Phys. 378 (2020) 807--849. |
| Existence and stability of traveling waves
for discrete nonlinear Schrödinger equations over long
times pdf
with Joackim Bernier SIAM J. Math. Anal. 51 (2019) 1607--1656. |
| Analysis of an asymptotic preserving
scheme for stochastic linear kinetic equations in the
diffusion limit pdf
with Nathalie Ayi SIAM/ASA J. Uncertainty Quantification 7 (2019) 760--785. |
| Uniformly accurate exponential-type
integrators for Klein-Gordon equations with asymptotic
convergence to classical splitting schemes in the
nonlinear Schrödinger limit pdf with Simon Baumstark and Katharina Schratz Math. Comp. (2017) https://doi.org/10.1090/mcom/3263 |
| Free vibrations of axisymmetric shells:
Parabolic and elliptic cases pdf with Marie Chaussade-Beaudouin, Monique Dauge and Zohar Yosibash Asympt. Anal. 104 (2017) 1--47. |
| Convergence of a normalized gradient
algorithm for computing ground states pdf with Tiphaine Jézéquel IMA J. Numer. Anal. (2017) https://doi.org/10.1093/imanum/drx009 |
| High-order Hamiltonian splitting for
Vlasov-Poisson equations pdf with F. Casas, Nicolas Crouseilles and Michel Mehrenberger Numer. Math. 135 (2017) 769--801. |
| High frequency oscillations of first
eigenmodes in axisymmetric shells as the thickness tends
to zero pdf with Marie Chaussade-Beaudouin, Monique Dauge and Zohar Yosibash Operator Theory: Advances and Applications. 258 (2017) 89–110. |
|
Collision of almost parallel vortex filaments pdf with Valeria Banica and Evelyne Miot Comm. Pure Appl. Math. 70 (2017) 378--405 |
| On numerical Landau damping for splitting
methods applied to the Vlasov-HMF model pdf with Romain Horsin and Frédéric Rousset Found. Comput. Math. (2016) https://doi.org/10.1007/s10208-016-9333-9 |
| An asymptotic preserving scheme for the
relativistic Vlasov-Maxwell equations in the classical
limit pdf with Nicolas Crouseilles and Lukas Einkemmer Comput. Phys. Comm. 209 (2016) 13-26. |
| Landau damping in Sobolev spaces for the
Vlasov-HMF model pdf with Frédéric Rousset Arch. Ration. Mech. Anal. 219 (2016) 887-902. |
| The weakly nonlinear large box limit for
the 2D cubic nonlinear Schrödinger equation pdf with Pierre Germain and Zaher Hani J. Amer. Math. Soc. 29 (2016) 915--982 http://dx.doi.org/10.1090/jams/845 |
| Fast
weak-KAM integrators for separable Hamiltonian systems pdf with Anne Bouillard and Maxime Zavidovique Math. Comp. 85 (2016) 85-117 |
| Analysis of the Monte-Carlo error in a
hybrid semi-lagrangian scheme pdf with Charles-Edouard Bréhier AMRX (2015) 167-203 |
| Hamiltonian splitting for the
Vlasov-Maxwell equations pdf with Nicolas Crouseilles and Lukas Einkemmer J. Comput. Phys. 283 (2015) 224-240 |
| Resonant time steps and instabilities in
the numerical integration of Schrödinger equations pdf with Tiphaine Jézéquel Differential and Integral Equations 28 (2015) 221-238 |
| Analysis of exponential splitting methods
for inhomogeneous parabolic equations pdf with Alexander Ostermann and Katharina Schratz IMA J. Numer. Anal. 35 (2015) 161-178 |
| Simulations of Kinetic Electrostatic
Electron Nonlinear (KEEN) Waves with Two-Grid, Variable
Velocity Resolution and High-Order Time-Splitting pdf with B. Afeyan, F. Casas, N. Crouseilles, A. Dodhy, M. Mehrenberger , E. Sonnendrücker, EUR. Phys. J. D 68 (2014) 295 |
| Collisions of vortex filament pairs pdf with Valeria Banica and Evelyne Miot J. Nonlinear Sci. 24 (2014) 1262-1284 |
| Plane wave
stability of the split-step Fourier method for the
nonlinear Schrödinger equation pdf with Ludwig Gauckler and Christian Lubich Forum of Math. Sigma 2 (2014) e5 (45 pages) |
| Asymptotic preserving schemes for the
Klein-Gordon equation in the non-relativistic regime pdf with Katharina Schratz Numer. Math. 126 (2014) 441-469 |
| Sobolev
stability of plane wave solutions to the cubic nonlinear
Schrödinger equation on a torus pdf with Ludwig Gauckler and Christian Lubich Comm. PDE 38 (2013) 1123-1140 |
| A
Nekhoroshev type theorem for the nonlinear Schrödinger
equation on the torus pdf with Benoît Grébert Analysis & PDE 6 (2013) 1243-1262 |
| Existence and stability of ground states for
fully discrete approximations of the nonlinear Schrödinger
equation pdf with Dario Bambusi and Benoît Grébert Numer. Math. 123 (2013) 461-492 |
| Quasi-periodic solutions of the 2D Euler equation
pdf with Nicolas Crouseilles Asympt. Anal. 81 (2013) 31-34 |
| Weak backward error analysis for SDEs pdf with Arnaud Debussche SIAM J. Numer. Anal. 50 (2012) 1735-1752 |
| Energy cascades for NLS on the torus pdf with Rémi Carles Discrete Contin. Dyn. Syst. 32 (2012) 2063-2077 |
| On the influence of the geometry on skin effect
in electromagnetism pdf
with Gabriel Caloz, Monique Dauge and Victor Péron Comput. Methods Appl. Mech. Engrg. 200 (2011) 1053-1068 |
| Hamiltonian
interpolation of splitting approximations for nonlinear
PDEs pdf with Benoît Grébert Found. Comput. Math. 11 (2011) 381-415 |
| Reconciling alternate methods for the
determination of charge distributions: A probabilistic
approach to high-dimensional least-squares approximations
pdf with Nicolas Champagnat and Christophe Chipot J. Math. Chem. 49 (2011) 296 |
| Comportement
asymptotique à haute conductivité de l'épaisseur de peau
en électromagnétisme pdf with Monique Dauge and Victor Péron C. R. Acad. Sci. Paris, Sér. I. 348 (2010) 385-390. |
| Quasi invariant modified
Sobolev norms for semi linear reversible PDEs pdf with Benoît Grébert Nonlinearity 23 (2010) 429-443 |
| A Regular Fast Multipole
Method for geometric numerical integration of Hamiltonian
systems pdf with Philippe Chartier and Eric Darrigrand BIT 50 (2010) 23-40 |
| Birkhoff normal form for
splitting methods applied to semi linear Hamiltonian PDEs. Part I: Finite dimensional
discretization pdf with Benoît Grébert and Eric Paturel Numer. Math. 114 (2010) 429-458 |
| Birkhoff normal form for
splitting methods applied to semi linear Hamiltonian PDEs.
Part II: Abstract splitting pdf with Benoît Grébert and Eric Paturel Numer. Math. 114 (2010) 459-490 |
| Koiter Estimate
Revisited pdf with Monique Dauge Math. Models Methods Appl. Sci. (M3AS) 20 No 1 (2010) 1-42 |
| Modified energy for
split-step methods applied to the linear Schrödinger
equation pdf with Arnaud Debussche SIAM J. Numer. Anal. 47 (2009) 3705-3719 |
| Conservative stochastic
differential equations: Mathematical and numerical
analysis pdf with Tony Lelièvre Math. Comp. 78 (2009) 2047-2074 |
| An averaging technique
for highly-oscillatory Hamiltonian problems pdf with François Castella and Philippe Chartier SIAM J. Numer. Anal. 47 No 4 (2009) 2808-2837 |
| Computing semi-classical
quantum dynamics with Hagedorn wavepackets pdf with Vasile Gradinaru and Christian Lubich SIAM J. Sci. Comp. 31 No 4 (2009) 3027-3041 |
| Analysis of splitting
methods for reaction-diffusion problems using stochastic
calculus pdf Math. Comp. 78 (2009) 1467-1483. |
| Gauss-Hermite wavepacket
dynamics: convergence of the spectral and pseudo-spectral
approximation pdf with Vasile Gradinaru IMA J. Numer. Anal. 29 (2009) 1023-1045. |
| A simple proof of the
existence of adiabatic invariants for perturbed reversible
problems pdf with Philippe Chartier J. Phys. A: Math. Theor. 41 No 47 (2008) 475204 |
| Geometric integrators for piecewise smooth Hamiltonian
systems pdf with Philippe Chartier Math. Model. Numer. Anal. (M2AN) 42 No 2 (2008) 223-241 |
| Normal form and long time analysis of splitting
schemes for the linear Schrödinger equation with small
potential pdf with Guillaume Dujardin Numer. Math. 106 No 2 (2007) 223-262 |
| Long time behavior of splitting methods applied
to the linear Schrödinger equation with Guillaume Dujardin C. R. Acad. Sci. Paris, Sér. I. 344 (2007) 89-92 |
| Nosé-Hoover dynamics in a shaker ps,
pdf
J. Chem. Phys. 124 184104 (2006) |
| An algebraic approach to invariant preserving
integrators: The case of quadratic and Hamiltonian
invariants pdf with Philippe Chartier and Ander Murua Numer. Math. 103 No 4 (2006) 575-590 |
| A Poisson integrator for Gaussian wavepacket
dynamics ps
with Christian Lubich Comput. Vis. Sci. 9 No 2 (2006) 45-55 |
| Long-time averaging for
integrable Hamiltonian dynamics ps,
pdf
with Eric Cancès, François Castella, Philippe Chartier, Claude Le Bris, Frédéric Legoll and Gabriel Turinici Numer. Math. 100 No 2 (2005) 211-232 |
| Energy conservation with non-symplectic methods:
Examples and counter-examples ps with Ernst Hairer and Truong-Linh Pham BIT 44 No 4 (2004) 699-709 |
| Modeling of multi-wavelength Raman fiber lasers
using a new and fast algorithm pdf with F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, T. Lopez, D. Bayart, F. Castella and P. Chartier IEEE Photonics Technology Letters 16 No 12 (2004) 2601-2603 |
| Multiscale Expansions for Linear Clamped Elliptic
Shells ps,
pdf
Comm. PDE 29 Vol 11 & 12 (2004) 1799-1845 |
| High-order averaging
schemes with error bounds for thermodynamical properties
calculations by molecular dynamics simulations INRIA
Research Report with Eric Cancès, François Castella, Philippe Chartier, Claude Le Bris, Frédéric Legoll and Gabriel Turinici J. Chem. Phys. 121 No 21 (2004) 10346-10355 |
| Raman Laser Modeling: Mathematical and Numerical
Analysis of a model ps,
pdf
with François Castella, Philippe Chartier, Dominique Bayart, Florence Leplingard and Catherine Martinelli Math. Model. Numer. Anal. (M2AN) 38 No 3 (2004) 457-475 |
| Plates and shells: Asymptotic expansions and
hierarchical models abstract,
pdf
with Monique Dauge and Zohar Yosibash Chapter 8, Vol I of the Encyclopedia for Computational Mechanics. Edited by Erwin Stein, René de Borst, Thomas J.R. Hughes (2004). |
| Analysis of a Poisson system with boundary
conditions ps with François Castella and Philippe Chartier C. R. Acad. Sci. Paris, Sér. I. 336 (2003) 703-708 |
| Elasticity on a thin shell: Formal series
solution ps,
pdf Asympt. Anal. 31 (2002) 317-361 |
| Développements asymptotiques dans les coques
elliptiques: Equations tridimensionnelles linéarisés ps,
pdf C. R. Acad. Sci. Paris, Sér. I. 333 (2001) 389-394 |
| Développements asymptotiques dans les coques
elliptiques: Modèle de Koiter ps,
pdf C. R. Acad. Sci. Paris, Sér. I. 333 (2001) 139-143 |
| Complete asymptotics for shallow shells ps,
pdf
with Georgiana Andreoiu Asympt. Anal. 25 (2001) 239-270 |
| Développements asymptotiques complets pour des
coques faiblement courbées encastrées ou libres ps,
ps.gz with Georgiana Andreoiu and Monique Dauge C. R. Acad. Sci. Paris, Sér. I. 330 (2000) 523-528 |
| Elasticité linéarisée tridimensionnelle pour une
coque mince: Résolution en série formelle en puissances de
l'épaisseur ps,
ps.gz C. R. Acad. Sci. Paris, Sér. I. 330 (2000) 415-420 |
| Eigenmode Asymptotics in Thin Elastic Plates ps,
ps.gz with Monique Dauge, Ivica Djurdjevic and Andreas Rössle J. Math. Pures Appl. 78 No 9 (1999) 925-964 |
| Resonances in long time integration of semi
linear Hamiltonian PDEs pdf with Benoît Grébert |
| Approximate travelling wave solutions to the 2D
Euler equation on the torus pdf with Nicolas Crouseilles |
| High order
Runge-Kutta-Nyström splitting methods for the
Vlasov-Poisson equation pdf with Nicolas Crouseilles and Michel Mehrenberger |
| Sparse
spectral approximations for computing polynomial
functionals pdf with Fabio Nobile and Christophe Vuillot |
Teaching notes