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	Title	Authors / Editors	Date
unige:133524	A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations	Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles	2020
unige:41958	A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems	Abdulle, Assyr; Vilmart, Gilles	2012
unige:118369	Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations	Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles	2019
unige:12105	Algebraic structures of B-series	Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles	2010
unige:41954	An offline-online homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems	Abdulle, Assyr; Bai, Yun; Vilmart, Gilles	2014
unige:41959	Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems	Abdulle, Assyr; Vilmart, Gilles	2014
unige:80936	Asymptotic Preserving numerical schemes for multiscale parabolic problems	Crouseilles, Nicolas; Lemou, Mohammed; Vilmart, Gilles	2016
unige:102841	Computing the long term evolution of the solar system with geometric numerical integrators	Fiorelli, Shaula; Vilmart, Gilles	2017
unige:41946	Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis	Abdulle, Assyr; Vilmart, Gilles	2012
unige:136314	Drift-preserving numerical integrators for stochastic Poisson systems	Cohen, David; Vilmart, Gilles	2020
unige:1337	Étude d'intégrateurs géométriques pour des équations différentielles	Vilmart, Gilles	2008
unige:123872	Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs	Laurent, Adrien; Vilmart, Gilles	2020
unige:96975	Fast Langevin based algorithm for MCMC in high dimensions	Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C.	2017
unige:86147	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
unige:41847	High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs	Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C.	2014
unige:41947	High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations	Abdulle, Assyr; Cohen, David; Vilmart, Gilles; Zygalakis, Konstantinos C.	2012
unige:118370	Highly oscillatory problems with time-dependent vanishing frequency	Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles	2019
unige:79120	Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems	Abdulle, Assyr; Huber, Martin; Vilmart, Gilles	2015
unige:41848	Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics	Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C.	2015
unige:41955	Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations	Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C.	2013

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