Arnaud Debussche
- Weak order for the discretization of the stochastic heat equation
2007/10/29 by Arnaud Debussche, Debussche, Arnaud, Jacques Printems +1 · 3 citations
Economics, Econometrics and Finance · Computer Science · Decision Sciences · #Stochastic processes and financial applications #Advanced Mathematical Modeling in Engineering #Probabilistic and Robust Engineering Design
- Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise
2009/01/14 by Anne de Bouard, Arnaud Debussche, De Bouard, Anne +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Nonlinear Photonic Systems
- A regularity result for quasilinear stochastic partial differential equations of parabolic type
2014/01/24 by Arnaud Debussche, Sylvain De Moor, Debussche, Arnaud +3 · 2 citations
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Stochastic processes and financial applications
- Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise
2005/05/01 by Anne de Bouard, Arnaud Debussche · 1 citation
Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #Stochastic processes and financial applications #math.PR #msc:35Q55 #msc:60H15 #msc:60H30 #msc:60J60. #msc:76B35
- 1D quintic nonlinear Schrödinger equation with white noise dispersion
2010/10/19 by Arnaud Debussche, Debussche, Arnaud, Yoshio Tsutsumi +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Spectral Theory in Mathematical Physics #advanced mathematical theories
- Kolmogorov Equations and Weak Order Analysis for SPDES with Nonlinear Diffusion Coefficient
2017/03/03 by Charles-Édouard Bréhier, Arnaud Debussche, Bréhier, Charles-Edouard +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · Engineering · #Stochastic processes and financial applications #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
- Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling
2026/07/17 by Arnaud Debussche, Martina Hofmanová
#math.AP #math.PR