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ORCIDCharles-Edouard Bréhier
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2020 – today
- 2024
[j8]Charles-Edouard Bréhier:
Total Variation Error Bounds for the Accelerated Exponential Euler Scheme Approximation of Parabolic Semilinear SPDEs. SIAM J. Numer. Anal. 62(3): 1171-1190 (2024)- [i19]Charles-Edouard Bréhier, David Cohen:
Splitting integrators for linear Vlasov equations with stochastic perturbations. CoRR abs/2402.18982 (2024) - [i18]Geoffrey Beck, Charles-Edouard Bréhier, Laurent Chevillard, Ricardo Grande
, Wandrille Ruffenach:
Numerical simulations of a stochastic dynamics leading to cascades and loss of regularity: applications to fluid turbulence and generation of fractional Gaussian fields. CoRR abs/2403.05401 (2024) - 2023
- [j7]Charles-Edouard Bréhier, David Cohen, Tobias Jahnke:
Splitting integrators for stochastic Lie-Poisson systems. Math. Comput. 92(343): 2167-2216 (2023) - [i17]Charles-Edouard Bréhier, David Cohen, Johan Ulander:
Analysis of a positivity-preserving splitting scheme for some nonlinear stochastic heat equations. CoRR abs/2302.08858 (2023) - [i16]Charles-Edouard Bréhier, David Cohen, Johan Ulander:
Positivity-preserving schemes for some nonlinear stochastic PDEs. CoRR abs/2304.11064 (2023) - [i15]Ziyi Lei, Charles-Edouard Bréhier, Siqing Gan:
Numerical approximation of the invariant distribution for a class of stochastic damped wave equations. CoRR abs/2306.13998 (2023) - 2022
- [j6]Charles-Edouard Bréhier, David Cohen:
Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise Dispersion. SIAM/ASA J. Uncertain. Quantification 10(1): 453-480 (2022) - [j5]Charles-Edouard Bréhier, Shmuel Rakotonirina-Ricquebourg:
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes. Multiscale Model. Simul. 20(1): 118-163 (2022) - [i14]Charles-Edouard Bréhier:
Analysis of a modified Euler scheme for parabolic semilinear stochastic PDEs. CoRR abs/2203.10598 (2022) - [i13]Charles-Edouard Bréhier:
Uniform weak error estimates for an asymptotic preserving scheme applied to a class of slow-fast parabolic semilinear SPDEs. CoRR abs/2203.10600 (2022) - [i12]Charles-Edouard Bréhier, Jianbo Cui, Xiaojie Wang:
Weak error estimates of fully-discrete schemes for the stochastic Cahn-Hilliard equation. CoRR abs/2207.09266 (2022) - [i11]Charles-Edouard Bréhier, David Cohen, Giuseppe Giordano:
Splitting schemes for FitzHugh-Nagumo stochastic partial differential equations. CoRR abs/2207.10484 (2022) - [i10]Charles-Edouard Bréhier:
Uniform strong and weak error estimates for numerical schemes applied to multiscale SDEs in a Smoluchowski-Kramers diffusion approximation regime. CoRR abs/2208.00447 (2022) - [i9]Charles-Edouard Bréhier:
Uniform error bounds for numerical schemes applied to multiscale SDEs in a Wong-Zakai diffusion approximation regime. CoRR abs/2208.00448 (2022) - 2021
- [i8]Assyr Abdulle, Charles-Edouard Bréhier, Gilles Vilmart:
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs. CoRR abs/2102.03209 (2021) - [i7]Charles-Edouard Bréhier:
Asymptotic preserving schemes for SDEs driven by fractional Brownian motion in the averaging regime. CoRR abs/2104.14198 (2021) - [i6]Charles-Edouard Bréhier, David Cohen, Tobias Jahnke:
Splitting integrators for stochastic Lie-Poisson systems. CoRR abs/2111.07387 (2021) - 2020
- [j4]Charles-Edouard Bréhier:
Influence of the regularity of the test functions for weak convergence in numerical discretization of SPDEs. J. Complex. 56 (2020) - [j3]Charles-Edouard Bréhier, Xu Wang:
On Parareal Algorithms for Semilinear Parabolic Stochastic PDEs. SIAM J. Numer. Anal. 58(1): 254-278 (2020) - [i5]Charles-Edouard Bréhier, David Cohen:
Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. CoRR abs/2007.02354 (2020) - [i4]Charles-Edouard Bréhier:
Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme. CoRR abs/2010.00508 (2020) - [i3]Charles-Edouard Bréhier:
Approximation of the invariant distribution for a class of ergodic SDEs with one-sided Lipschitz continuous drift coefficient using an explicit tamed Euler scheme. CoRR abs/2010.00512 (2020) - [i2]Charles-Edouard Bréhier, David Cohen:
Strong rates of convergence of a splitting scheme for Schrödinger equations with nonlocal interaction cubic nonlinearity and white noise dispersion. CoRR abs/2011.01115 (2020) - [i1]Charles-Edouard Bréhier, Shmuel Rakotonirina-Ricquebourg:
On Asymptotic Preserving schemes for a class of Stochastic Differential Equations in averaging and diffusion approximation regimes. CoRR abs/2011.02341 (2020)
2010 – 2019
- 2016
- [j2]Charles-Edouard Bréhier, Gilles Vilmart:
High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise. SIAM J. Sci. Comput. 38(4) (2016) - 2014
- [c1]Charles-Edouard Bréhier, Ludovic Goudenège, Loïc Tudela:
Central Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized Setting. MCQMC 2014: 245-260 - 2013
- [j1]Charles-Edouard Bréhier:
Analysis of an HMM Time-Discretization Scheme for a System of Stochastic PDEs. SIAM J. Numer. Anal. 51(2): 1185-1210 (2013)
Coauthor Index
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