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On weakly turbulent solutions to the perturbed linear Harmonic oscillator

Erwan Faou , Pierre Raphaël
2020
Pré-publication, Document de travail hal-02867631v1
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A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus.

Erwan Faou , Benoît Grébert
Analysis & PDE, 2013, 6 (6), pp.1243-4262. ⟨10.2140/apde.2013.6.1243⟩
Article dans une revue hal-00466803v1
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Koiter Estimate Revisited

Monique Dauge , Erwan Faou
Mathematical Models and Methods in Applied Sciences, 2010, 20 (1), pp. 1-42. ⟨10.1142/S0218202510004131⟩
Article dans une revue hal-00202628v2
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Birkhoff normal form for splitting methods applied to semilinear Hamiltonian PDEs. Part II: Abstract splitting.

Erwan Faou , Benoît Grébert , Eric Paturel
Numerische Mathematik, 2010, 114 (3), pp.459-490. ⟨10.1007/s00211-009-0257-z⟩
Article dans une revue hal-00341226v1
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Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity

Gabriel Caloz , Monique Dauge , Erwan Faou , Victor Péron
WONAPDE 2010 Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, Jan 2010, Concepcion, Chile
Communication dans un congrès inria-00528519v1
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Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting

Bedros Afeyan , Fernando Casas , Nicolas Crouseilles , Adila Dodhy , Erwan Faou , et al.
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68 (10), DOI: 10.1140/epjd/e2014-50212-6. ⟨10.1140/epjd/e2014-50212-6⟩
Article dans une revue hal-00977344v2
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An asymptotic preserving scheme for the relativistic Vlasov–Maxwell equations in the classical limit

Nicolas Crouseilles , Lukas Einkemmer , Erwan Faou
Computer Physics Communications, 2016, 209
Article dans une revue hal-01283779v1
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An averaging technique for highly-oscillatory Hamiltonian problems

François Castella , Philippe Chartier , Erwan Faou
SIAM Journal on Numerical Analysis, 2009, 47 (4), pp.2808--2837. ⟨10.1137/080715974⟩
Article dans une revue hal-00777047v1

Geometric Numerical Integration

Erwan Faou , Ernst Hairer , Marlis Hochbruck , Christian Lubich
[Research Report] 18/2016, Mathematisches Forschungsinstitut Oberwolfach. 2016, pp.869 - 948
Rapport hal-01403326v1
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On numerical Landau damping for splitting methods applied to the Vlasov-HMF model

Erwan Faou , Romain Horsin , Frédéric Rousset
Foundations of Computational Mathematics, 2018, 18 (1), pp.97-134. ⟨10.1007/s10208-016-9333-9⟩
Article dans une revue hal-01219115v1

A simple proof of the existence of adiabatic invariants for perturbed reversible problems

Philippe Chartier , Erwan Faou
Journal of Physics A: Mathematical and Theoretical, 2008, 41 (47), 7 p. ⟨10.1088/1751-8113/41/47/475204⟩
Article dans une revue istex hal-00686862v1
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High-order averaging schemes with error bounds for thermodynamical properties calculations by MD simulations

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Claude Le Bris , et al.
[Research Report] RR-4875, INRIA. 2003
Rapport inria-00071708v1
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High-order Hamiltonian splitting for Vlasov-Poisson equations

Fernando Casas , Nicolas Crouseilles , Erwan Faou , Michel Mehrenberger
Numerische Mathematik, 2017, 135 (3), pp.769-801. ⟨10.1007/s00211-016-0816-z⟩
Article dans une revue hal-01206164v1
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High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero

Marie Chaussade-Beaudouin , Monique Dauge , Erwan Faou , Zohar Yosibash
Operator Theory Advances and Application, 258, Birkhäuser/Springer, pp.89-110, 2017, Recent Trends in Operator Theory and Partial Differential Equations - The Roland Duduchava Anniversary Volume, 978-3-319-47077-1. ⟨10.1007/978-3-319-47079-5_5⟩
Chapitre d'ouvrage hal-01278861v1
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Linearized wave turbulence convergence results for three-wave systems

Erwan Faou
Communications in Mathematical Physics, 2020, 378 (2), pp.807-849. ⟨10.1007/s00220-020-03799-w⟩
Article dans une revue hal-01801810v3
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Existence and stability of traveling waves for discrete nonlinear Schroedinger equations over long times

Joackim Bernier , Erwan Faou
SIAM Journal on Mathematical Analysis, 2019, 51 (3), pp.1607-1656. ⟨10.1137/18M1186484⟩
Article dans une revue hal-01788398v1
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Discrete quantum harmonic oscillator and kravchuk transform

Quentin Chauleur , Erwan Faou
2022
Pré-publication, Document de travail hal-03885282v1
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Quasi-periodic solutions of the 2D Euler equation

Nicolas Crouseilles , Erwan Faou
Asymptotic Analysis, 2013, 81 (1), pp.31-34. ⟨10.3233/ASY-2012-1117⟩
Article dans une revue hal-00678848v1
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the evolutionary dynamics of plastic foraging and its ecological consequences: a resource-consumer model

Léo Ledru , Jimmy Garnier , Océane Guillot , Erwan Faou , Camille Noûs , et al.
2023
Pré-publication, Document de travail hal-04047341v2
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Multiscale Expansions for Linear Clamped Elliptic Shells

Erwan Faou
[Research Report] RR-4956, INRIA. 2003
Rapport inria-00071623v1
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A Transmission Problem in Electromagnetism with a Singular Interface

Gabriel Caloz , Monique Dauge , Erwan Faou , Victor Péron , Clair Poignard
6th Singular Days on Asymptotic Methods for PDEs, Apr 2010, Berlin, Germany
Communication dans un congrès inria-00528523v1

Computing semi-classical quantum dynamics with Hagedorn wavepackets

Erwan Faou , Christian Lubich , Vasile Gradinaru
SIAM Journal on Scientific Computing, 2009, 31 (4), pp.3027-3041
Article dans une revue hal-00777664v1

Geometric numerical integration and Schrödinger equations

Erwan Faou
European Mathematical Society, pp.xiii-138, 2012, Zurich Lectures in Advanced Mathematics, 978-3-03719-100-2
Ouvrages hal-00772555v1
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Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime

Erwan Faou , Katharina Schratz
Numerische Mathematik, 2014, 126 (3), pp.441-469. ⟨10.1007/s00211-013-0567-z⟩
Article dans une revue hal-00762161v1
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Comportement asymptotique à haute conductivité de l'épaisseur de peau en électromagnétisme

Monique Dauge , Erwan Faou , Victor Péron
Comptes Rendus. Mathématique, 2010, 348 (7-8), pp.385-390. ⟨10.1016/j.crma.2010.01.002⟩
Article dans une revue hal-00423607v1

The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation

Erwan Faou , Pierre Germain , Zaher Hani
Journal of the American Mathematical Society, 2016, 29 (4), pp.915-982. ⟨10.1090/jams/845⟩
Article dans une revue hal-00905851v1

Analysis of exponential splitting methods for inhomogeneous parabolic equations

Erwan Faou , Alexander Ostermann , Katharina Schratz
IMA Journal of Numerical Analysis, 2015, 35 (1), pp.161-178. ⟨10.1093/imanum/dru002⟩
Article dans une revue hal-00769628v1
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Fast Weak-Kam Integrators for separable Hamiltonian systems

Anne Bouillard , Erwan Faou , Maxime Zavidovique
Mathematics of Computation, 2016, 85 (297), pp.85-117
Article dans une revue hal-00743462v1
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Que mesurent les indi ateurs bibliométriques ?

Anne-Marie Kermarrec , Erwan Faou , Jean-Pierre Merlet , Philippe Robert , Luc Segoufin
[0] Commission d'evaluation INRIA. 2007
Rapport hal-02989342v1
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Convergence of a normalized gradient algorithm for computing ground states

Erwan Faou , Tiphaine Jézéquel
IMA Journal of Numerical Analysis, 2018, 38 (1), pp.360-376. ⟨10.1093/imanum/drx009⟩
Article dans une revue hal-01284679v1