Gilles Vilmart
Orcid: 0000-0003-4593-1012
According to our database1,
Gilles Vilmart
authored at least 27 papers
between 2007 and 2022.
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Bibliography
2022
Int. J. Comput. Math., 2022
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds.
Found. Comput. Math., 2022
2021
SIAM J. Sci. Comput., 2021
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions.
Math. Comput., 2021
Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs.
CoRR, 2021
2020
Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations.
SIAM J. Sci. Comput., 2020
Strang Splitting Method for Semilinear Parabolic Problems With Inhomogeneous Boundary Conditions: A Correction Based on the Flow of the Nonlinearity.
SIAM J. Sci. Comput., 2020
Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs.
Math. Comput., 2020
A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations.
Found. Comput. Math., 2020
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with oblique boundary conditions.
CoRR, 2020
2019
SIAM J. Numer. Anal., 2019
2018
Optimal Explicit Stabilized Integrator of Weak Order 1 for Stiff and Ergodic Stochastic Differential Equations.
SIAM/ASA J. Uncertain. Quantification, 2018
2016
High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise.
SIAM J. Sci. Comput., 2016
2015
SIAM J. Sci. Comput., 2015
SIAM J. Numer. Anal., 2015
Linearized Numerical Homogenization Method for Nonlinear Monotone Parabolic Multiscale Problems.
Multiscale Model. Simul., 2015
2014
Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise.
SIAM J. Sci. Comput., 2014
SIAM J. Numer. Anal., 2014
Numerische Mathematik, 2014
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems.
Math. Comput., 2014
2013
Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations.
SIAM J. Sci. Comput., 2013
PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise.
J. Comput. Phys., 2013
2012
High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations.
SIAM J. Sci. Comput., 2012
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems.
Numerische Mathematik, 2012
2010
2008
2007