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hal-00528792v2  Article dans une revue
Rémi Carles, Erwan Faou. Energy cascades for NLS on $\T^d$
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2012, 32 (6), pp.2063-2077. <10.3934/dcds.2012.32.2063>
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hal-00932122v1  Article dans une revue
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou. Hamiltonian splitting for the Vlasov-Maxwell equations
Journal of Computational Physics, Elsevier, 2015, 283, pp.224-240. <10.1016/j.jcp.2014.11.029>
hal-00905851v1  Article dans une revue
Erwan Faou, Pierre Germain, Zaher Hani. The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation
Journal of the American Mathematical Society, American Mathematical Society, 2016, 29 (4), pp.915-982. <10.1090/jams/845>
hal-00905856v1  Article dans une revue
Erwan Faou, Tiphaine Jézéquel. Resonant time steps and instabilities in the numerical integration of Schrödinger equations
Differential and integral equations, Khayyam Publishing, 2015, 28 (3-4), pp.221-238
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hal-00503170v2  Article dans une revue
Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. On the influence of the geometry on skin effect in electromagnetism
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2011, 200 (9-12), pp.1053-1068. <10.1016/j.cma.2010.11.011>
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hal-00567426v1  Article dans une revue
Nicolas Crouseilles, Erwan Faou. Approximate travelling wave solutions to the 2D Euler equation on the torus
Asymptotic Analysis, IOS Press, 2013, pp.31-34. <10.3233/ASY-2012-1117>
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hal-00374552v1  Pré-publication, Document de travail
Erwan Faou, Benoît Grébert. Resonances in long time integration of semi linear Hamiltonian PDEs
2009
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hal-00678848v1  Article dans une revue
Nicolas Crouseilles, Erwan Faou. Quasi-periodic solutions of the 2D Euler equation
Asymptotic Analysis, IOS Press, 2013, 81 (1), pp.31-34. <10.3233/ASY-2012-1117>
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hal-00977344v2  Article dans une revue
Bedros Afeyan, Fernando Casas, Nicolas Crouseilles, Adila Dodhy, Erwan Faou et al.  Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting
European Physical Journal D, SpringerLink, 2014, 68 (10), DOI: 10.1140/epjd/e2014-50212-6. <10.1140/epjd/e2014-50212-6>
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hal-00423607v1  Article dans une revue
Monique Dauge, Erwan Faou, Victor Péron. Comportement asymptotique à haute conductivité de l'épaisseur de peau en électromagnétisme
Comptes rendus - Mathematique, 2010, 348 (7-8), pp.385-390. <10.1016/j.crma.2010.01.002>
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hal-00718307v1  Pré-publication, Document de travail
Erwan Faou, Fabio Nobile, Christophe Vuillot. Sparse spectral approximations for computing polynomial functionals
2012-57. 2012
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inria-00633934v1  Pré-publication, Document de travail
Nicolas Crouseilles, Erwan Faou, Michel Mehrenberger. High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation
2011
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hal-01284679v1  Pré-publication, Document de travail
Erwan Faou, Tiphaine Jézéquel. Convergence of a normalized gradient algorithm for computing ground states
2016
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inria-00528527v1  Communication dans un congrès
Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron. Skin Effect Description in Electromagnetism with a Multiscaled Asymptotic Expansion
Asymptotic methods, mechanics and other applications, Aug 2009, Rennes, France. 2009
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inria-00528523v1  Communication dans un congrès
Gabriel Caloz, Monique Dauge, Erwan Faou, Victor Péron, Clair Poignard. A Transmission Problem in Electromagnetism with a Singular Interface
6th Singular Days on Asymptotic Methods for PDEs, Apr 2010, Berlin, Germany. 2010
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hal-01278861v1  Chapitre d'ouvrage
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou, Zohar Yosibash. High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero
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>
hal-01403326v1  Rapport
Erwan Faou, Ernst Hairer, Marlis Hochbruck, Christian Lubich. Geometric Numerical Integration
[Research Report] 18/2016, Mathematisches Forschungsinstitut Oberwolfach. 2016, pp.869 - 948
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inria-00113480v2  Rapport
Erwan Faou, Guillaume Dujardin. Normal form and long time analysis of splitting schemes for the linear Schrödinger equation.
[Research Report] RR-6015, INRIA. 2006, pp.41
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inria-00528519v1  Communication dans un congrès
Victor Péron, Gabriel Caloz, Monique Dauge, Erwan Faou. Skin Effect in Electromagnetism and Asymptotic Behaviour of Skin Depth for High Conductivity
WONAPDE 2010 Third Chilean Workshop on Numerical Analysis of Partial Differential Equations, Jan 2010, Concepcion, Chile. 2010
hal-00772555v1  Ouvrage (y compris édition critique et traduction)
Erwan Faou. Geometric numerical integration and Schrödinger equations
European Mathematical Society, pp.xiii-138, 2012, Zurich Lectures in Advanced Mathematics, 978-3-03719-100-2
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hal-01264125v3  Pré-publication, Document de travail
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou, Zohar Yosibash. Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases
2017
hal-00536695v1  Article dans une revue
Philippe Chartier, Eric Darrigrand, Erwan Faou. A regular fast multipole method for geometric numerical integrations of Hamiltonian systems
BIT Numerical Mathematics Numerical Mathematics, Springer, 2010, 50 (1), pp.23-40. <10.1007/s10543-010-0248-6>
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hal-01331949v2  Pré-publication, Document de travail
Simon Baumstark, Erwan Faou, Katharina Schratz. Uniformly accurate exponential-type integrators for klein-gordon equations with asymptotic convergence to classical splitting schemes in the nonlinear schroedinger limit
2016
hal-00769628v1  Article dans une revue
Erwan Faou, Alexander Ostermann, Katharina Schratz. Analysis of exponential splitting methods for inhomogeneous parabolic equations
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2015, 35 (1), pp.161-178. <10.1093/imanum/dru002>
hal-00777661v1  Article dans une revue
Erwan Faou, Vasile Gradinaru. Gauss-Hermite wavepacket dynamics: convergence of the spectral and pseudo-spectral approximation
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2009, 29, pp.1023-1045
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hal-00440982v1  Article dans une revue
Erwan Faou, Benoît Grébert. Hamiltonian interpolation of splitting approximations for nonlinear PDEs
Foundations of Computational Mathematics, Springer Verlag, 2011, 11 (4), pp.381-415. <10.1007/s10208-011-9094-4>
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hal-01219115v1  Article dans une revue
Erwan Faou, Romain Horsin, Frédéric Rousset. On numerical Landau damping for splitting methods applied to the Vlasov-HMF model
Foundations of Computational Mathematics, Springer Verlag, 2016, 38 p. <10.1007/s10208-016-9333-9>
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hal-00466803v1  Article dans une revue
Erwan Faou, Benoît Grébert. A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus.
Analysis & PDE, Mathematical Sciences Publishers, 2013, 6 (6), pp.1243-4262. <10.2140/apde.2013.6.1243>
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