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SINDy for delay-differential equations: application to model bacterial zinc response Sandoz, Antoine; Ducret, Verena; Gottwald, Georg A.; Vilmart, Gilles; Perron, Karl 2023
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Drift-preserving numerical integrators for stochastic Poisson systems Cohen, David; Vilmart, Gilles 2022
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Explicit Stabilized Integrators for Stiff Optimal Control Problems Almuslimani, Ibrahim; Vilmart, Gilles 2021
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Explicit stabilised gradient descent for faster strongly convex optimisation Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C. 2021
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Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions Bertoli, Guillaume Balthazar; Besse, Christophe; Vilmart, Gilles 2021
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Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds Laurent, Adrien; Vilmart, Gilles 2021
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Strang Splitting Method for Semilinear Parabolic Problems With Inhomogeneous Boundary Conditions: A Correction Based on the Flow of the Nonlinearity Bertoli, Guillaume Balthazar; Vilmart, Gilles 2020
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A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles 2020
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Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations Laurent, Adrien; Vilmart, Gilles 2020
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Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs Laurent, Adrien; Vilmart, Gilles 2020
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Drift-preserving numerical integrators for stochastic Poisson systems Cohen, David; Vilmart, Gilles 2020
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Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles 2019
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Highly oscillatory problems with time-dependent vanishing frequency Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles 2019
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Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles 2018
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Computing the long term evolution of the solar system with geometric numerical integrators Fiorelli, Shaula; Vilmart, Gilles 2017
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Fast Langevin based algorithm for MCMC in high dimensions Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C. 2017
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High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise Bréhier, Charles-Edouard; Vilmart, Gilles 2016
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Asymptotic Preserving numerical schemes for multiscale parabolic problems Crouseilles, Nicolas; Lemou, Mohammed; Vilmart, Gilles 2016
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Rigid body dynamics Vilmart, Gilles 2015
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Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems Abdulle, Assyr; Bai, Yun; Vilmart, Gilles 2015
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