Frédéric Rousset
- Linear inviscid damping and enhanced viscous dissipation of shear flows\n by using the conjugate operator method
2018/04/23 by Emmanuel Grenier, Toan T. Nguyen, Grenier, Emmanuel +5 · 3 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
- Error estimates of a Fourier integrator for the cubic Schr "odinger\n equation at low regularity
2019/02/18 by Alexander Ostermann, Frédéric Rousset, Ostermann, Alexander +3 · 3 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Convergence error estimates at low regularity for time discretizations of KdV
2021/02/22 by Frédéric Rousset, Katharina Schratz, Rousset, Frédéric +1 · 1 citation
Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods
- Time integrators for dispersive equations in the long wave regime
2021/05/08 by María Cabrera Calvo, Calvo, María Cabrera, Frédéric Rousset +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Incompressible limit for the free surface Navier-Stokes system
2021/10/15 by Nader Masmoudi, Frédéric Rousset, Masmoudi, Nader +3 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing #Stability and Controllability of Differential Equations
- Low regularity error estimates for the time integration of 2D NLS
2023/01/25 by Lun Ji, Alexander Ostermann, Ji, Lun +5 · 1 citation
Engineering · Mathematics · #35Q55 #65M12 #65M15 #Advanced Mathematical Physics Problems #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Low regularity full error estimates for the cubic nonlinear Schrödinger equation
2023/11/24 by Lun Ji, Alexander Ostermann, Ji, Lun +5 · 1 citation
Engineering · Mathematics · #35Q55 #65M12 #65M15 #Advanced Mathematical Physics Problems #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Resonances as a computational tool
2024/05/17 by Frédéric Rousset, Katharina Schratz, Rousset, Frédéric +1 · 1 citation
Computer Science · #FOS: Mathematics #Neural Networks and Applications #Numerical Analysis (math.NA)