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Koiter Estimate Revisited

Monique Dauge , Erwan Faou
[Research Report] RR-5430, INRIA. 2004, pp.35
Reports inria-00070577v1
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Elasticity on a Thin Shell: Formal Series Solution

Erwan Faou
[Research Report] RR-4349, INRIA. 2002
Reports inria-00072239v1
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Long-time averaging for integrable Hamiltonian dynamics

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Frédéric Legoll , et al.
Numerische Mathematik, 2005, 100 (2), pp.211--232. ⟨10.1007/s00211-005-0599-0⟩
Journal articles hal-00798337v1
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Collisions of vortex filament pairs

Valeria Banica , Erwan Faou , Evelyne Miot
Journal of Nonlinear Science, 2014, 24 (6), pp.1263-1284. ⟨10.1007/s00332-014-9218-5⟩
Journal articles hal-00948563v1
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High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation

Nicolas Crouseilles , Erwan Faou , Michel Mehrenberger
2011
Preprints, Working Papers, ... inria-00633934v1
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On a Bubble algorithm for the cubic Nonlinear Schrödinger equation

Erwan Faou , Yoann Le Henaff , Pierre Raphaël
2023
Preprints, Working Papers, ... hal-04041787v2

Plates and Shells: Asymptotic Expansions and Hierarchical Models

Monique Dauge , Erwan Faou , Zohar Yosibash
Encyclopedia of Computational Mechanics Second Edition, pp.1-39, 2017, Part 1. Fundamentals, ⟨10.1002/9781119176817.ecm2015⟩
Book sections hal-01842339v1
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Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases

Marie Chaussade-Beaudouin , Monique Dauge , Erwan Faou , Zohar Yosibash
Asymptotic Analysis, 2017, 104 (2), pp.1-47. ⟨10.3233/ASY-171426⟩
Journal articles hal-01264125v3
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Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to classical splitting schemes in the nonlinear Schrödinger limit

Simon Baumstark , Erwan Faou , Katharina Schratz
Mathematics of Computation, 2018, 87 (311), pp.1227-1254. ⟨10.1090/mcom/3263⟩
Journal articles hal-01331949v2

Resonant time steps and instabilities in the numerical integration of Schrödinger equations

Erwan Faou , Tiphaine Jézéquel
Differential and integral equations, 2015, 28 (3-4), pp.221-238
Journal articles hal-00905856v1
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Reconciling alternate methods for the determination of charge distributions: A probabilistic approach to high-dimensional least-squares approximations

Nicolas Champagnat , Christophe Chipot , Erwan Faou
Journal of Mathematical Chemistry, 2011, Journal of Mathematical Chemistry, 49 (1), pp.296-324. ⟨10.1007/s10910-010-9740-0⟩
Journal articles inria-00345411v2
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Weak backward error analysis for SDEs

Arnaud Debussche , Erwan Faou
SIAM Journal on Numerical Analysis, 2012, 50 (3), pp.1735-1752. ⟨10.1137/110831544⟩
Journal articles hal-00589881v1
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Birkhoff normal form for splitting methods applied to semilinear Hamiltonian PDEs. Part I: Finite dimensional discretization.

Erwan Faou , Benoît Grébert , Eric Paturel
Numerische Mathematik, 2010, 114 (3), pp.429-458. ⟨10.1007/s00211-009-0258-y⟩
Journal articles hal-00341241v1
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Quasi invariant modified Sobolev norms for semi linear reversible PDEs.

Erwan Faou , Benoît Grébert
Nonlinearity, 2010, 23 (2), pp.429-443. ⟨10.1088/0951-7715/23/2/011⟩
Journal articles hal-00410542v1
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Analysis of the Monte-Carlo error in a hybrid semi-Lagrangian scheme

Charles-Edouard Bréhier , Erwan Faou
Applied Mathematics Research eXpress, 2015, 2015 (2), pp.167-203. ⟨10.1093/amrx/abv001⟩
Journal articles hal-00800133v1
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Approximate travelling wave solutions to the 2D Euler equation on the torus

Nicolas Crouseilles , Erwan Faou
Asymptotic Analysis, 2013, 81, pp.31-34. ⟨10.3233/ASY-2012-1117⟩
Journal articles hal-00567426v1
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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⟩
Journal articles hal-00777047v1
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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⟩
Journal articles hal-01219115v1
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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⟩
Journal articles 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
Journal articles hal-01283779v1

Geometric Numerical Integration

Erwan Faou , Ernst Hairer , Marlis Hochbruck , Christian Lubich
[Research Report] 18/2016, Mathematisches Forschungsinstitut Oberwolfach. 2016, pp.869 - 948
Reports hal-01403326v1
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On weakly turbulent solutions to the perturbed linear Harmonic oscillator

Erwan Faou , Pierre Raphaël
2020
Preprints, Working Papers, ... 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⟩
Journal articles hal-00466803v1
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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
Conference papers inria-00528519v1
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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⟩
Journal articles hal-00341226v1
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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⟩
Journal articles hal-00202628v2
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On Linear Damping around Inhomogeneous Stationary States of the Vlasov-HMF Model

Erwan Faou , Romain Horsin , Frédéric Rousset
Journal of Dynamics and Differential Equations, 2021, 33 - special issue (3), pp.1531-1577. ⟨10.1007/s10884-021-10044-y⟩
Journal articles hal-03218110v1
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Energy cascades for NLS on $\T^d$

Rémi Carles , Erwan Faou
Discrete and Continuous Dynamical Systems - Series S, 2012, 32 (6), pp.2063-2077. ⟨10.3934/dcds.2012.32.2063⟩
Journal articles hal-00528792v2

High-order averaging schemes with error bounds for thermodynamical properties calculations by molecular dynamics simulations.

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Claude Le Bris , et al.
Journal of Chemical Physics, 2004, 121 (21), pp.10346-55. ⟨10.1063/1.1794611⟩
Journal articles hal-00536562v1
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Is adaptive foraging adaptive? A resource-consumer eco-evolutionary model

Léo Ledru , Jimmy Garnier , Océane Guillot , Erwan Faou , Camille Noûs , et al.
2023
Preprints, Working Papers, ... hal-04047341v1