Publications by Gilles Vilmart

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Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Assyr Abdulle, Gilles Vilmart

A fully discrete analysis of the finite element heterogeneous multiscale method for a class of nonlinear elliptic homogenization problems of nonmonotone type is proposed. In contrast to previous results obtained for such problems in dimension

d\leq2

for ...

Amer Mathematical Soc2014

Gilles Vilmart

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Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs

MATHICSE Technical Report: Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations

Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems

Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics

High order numerical approximation of the invariant measure of ergodic SDEs

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

MATHICSE Technical Report: Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations

MATHICSE Technical Report : Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations

Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations

Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics

High order numerical approximation of the invariant measure of ergodic SDEs

Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems