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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
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Sparse spectral approximations for computing polynomial functionals

 Erwan Faou , Fabio Nobile , Christophe Vuillot
2012
Pré-publication, Document de travail hal-00718307v1
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Long time behavior of the solutions of NLW on the d-dimensional torus

 Joackim Bernier , Erwan Faou , Benoit Grebert
Forum of Mathematics, Sigma, 2020, 8, pp.E12. ⟨10.1017/fms.2020.8⟩
Article dans une revue hal-02151338v2
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Hamiltonian splitting for the Vlasov-Maxwell equations

 Nicolas Crouseilles , Lukas Einkemmer , Erwan Faou
Journal of Computational Physics, 2015, 283, pp.224-240. ⟨10.1016/j.jcp.2014.11.029⟩
Article dans une revue hal-00932122v1
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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
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On the influence of the geometry on skin effect in electromagnetism

 Gabriel Caloz , Monique Dauge , Erwan Faou , Victor Péron
Computer Methods in Applied Mechanics and Engineering, 2011, 200 (9-12), pp.1053-1068. ⟨10.1016/j.cma.2010.11.011⟩
Article dans une revue hal-00503170v2
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Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion

 Gabriel Caloz , Monique Dauge , Erwan Faou , Victor Péron
Asymptotic methods, mechanics and other applications, Aug 2009, Rennes, France
Communication dans un congrès inria-00528527v1
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Modified energy for split-step methods applied to the linear Schrödinger equation

 Arnaud Debussche , Erwan Faou
SIAM Journal on Numerical Analysis, 2009, 47 (5), pp.3705-3719
Article dans une revue hal-00348221v1
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Normal form and long time analysis of splitting schemes for the linear Schrödinger equation.

 Erwan Faou , Guillaume Dujardin
[Research Report] RR-6015, INRIA. 2006, pp.41
Rapport inria-00113480v2

A regular fast multipole method for geometric numerical integrations of Hamiltonian systems

 Philippe Chartier , Eric Darrigrand , Erwan Faou
BIT Numerical Mathematics, 2010, 50 (1), pp.23-40. ⟨10.1007/s10543-010-0248-6⟩
Article dans une revue istex hal-00536695v1
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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
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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

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

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
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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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