Faou, Erwan
- Convergence of a Normalized Gradient Algorithm for Computing Ground States
2016/03/08 by Faou, Erwan, Jézéquel, Tiphaine · 6 citations
#FOS: Mathematics #Numerical Analysis (math.NA)
- The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation
2013/08/28 by Faou, Erwan, Germain, Pierre, Hani, Zaher · 3 citations
#35Q55 #37K05 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Rational normal forms and stability of small solutions to nonlinear\n Schr "odinger equations
2018/12/29 by Joackim Berniér, Erwan Faou, Bernier, Joackim +3 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations
- Long time behavior of the solutions of NLW on the d-dimensional torus
2019/06/12 by Bernier, Joackim, Faou, Erwan, Grebert, Benoit · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- On weakly turbulent solutions to the perturbed linear Harmonic oscillator
2020/06/15 by Faou, Erwan, Raphael, Pierre · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Energy cascades for NLS on the torus
2010/10/25 by Rémi Carles, Erwan Faou, Carles, Remi +1 · 1 citation
Mathematics · Physics and Astronomy · #37K55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Primary 35Q55 #Secondary 35C20
- Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus
2011/09/12 by Erwan Faou, Ludwig J. Gauckler, Faou, Erwan +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- Quasi-periodic solutions of the 2D Euler equation
2012/03/15 by Crouseilles, Nicolas, Faou, Erwan · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Fast weak-KAM integrators for separable Hamiltonian systems
2012/10/15 by Bouillard, Anne, Faou, Erwan, Zavidovique, Maxime · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
2012/12/06 by Faou, Erwan, Schratz, Katharina · 1 citation
#35C20 #35L71 #65M12 #65M15 #65P10 #FOS: Mathematics #Numerical Analysis (math.NA)
- On Linear Damping Around Inhomogeneous Stationary States of the Vlasov-HMF Model
2021/05/06 by Faou, Erwan, Horsin, Romain, Rousset, Frédéric · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- Discrete pseudo-differential operators and applications to numerical schemes
2021/09/30 by Faou, Erwan, Grébert, Benoît · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- Discrete quantum harmonic oscillator and Kravchuk transform
2022/12/06 by Quentin Chauleur, Chauleur, Quentin, Erwan Faou +1 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Quantum Mechanics and Non-Hermitian Physics
- Plane wave stability of the split-step Fourier method for the nonlinear Schrödinger equation
2013/06/04 by Faou, Erwan, Gauckler, Ludwig, Lubich, Christian · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)
- Modulation algorithm for the nonlinear Schrödinger equation
2023/03/24 by Erwan Faou, Faou, Erwan, Yoann Le Hénaff +3 · 1 citation
Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Optical Network Technologies #Photonic and Optical Devices