Erwan Faou
- 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 · 4 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
- Asymptotic preserving schemes for the Klein–Gordon equation in the non-relativistic limit regime
2013/06/01 by Erwan Faou, Katharina Schratz · 2 citations
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Numerical methods for differential equations #Electromagnetic Simulation and Numerical Methods
- 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 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- 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
- Weak backward error analysis for SDEs
2011/05/03 by Arnaud Debussche, Erwan Faou, Debussche, Arnaud +1 · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Numerical Analysis (math.NA) #Numerical methods for differential equations #Probability (math.PR) #Stochastic processes and financial applications
- Asymptotic preserving schemes for the Klein-Gordon equation in the\n non-relativistic limit regime
2012/12/06 by Erwan Faou, Faou, Erwan, Katharina Schratz +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #35C20 #35L71 #65M12 #65M15 #65P10 #Advanced Mathematical Physics Problems #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Nonlinear Photonic Systems #Numerical Analysis (math.NA) #Numerical methods for differential equations #Quantum chaos and dynamical systems
- Analysis of exponential splitting methods for inhomogeneous parabolic equations
2012/12/23 by Erwan Faou, Alexander Ostermann, Faou, Erwan +3 · 1 citation
Computer Science · Mathematics · #65J08 #65L12 #65M15 #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #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\n Schr "odinger equation
2013/06/04 by Erwan Faou, Faou, Erwan, Ludwig J. Gauckler +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Mathematics #Nonlinear Photonic Systems #Numerical Analysis (math.NA) #Numerical methods for differential equations
- 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
- Scattering, random phase and wave turbulence
2023/07/04 by Erwan Faou, Antoine Mouzard, Faou, Erwan +1 · 2 citations
Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Optical and Acousto-Optic Technologies #Orbital Angular Momentum in Optics #Random lasers and scattering media