| Splitting methods with complex times for parabolic equations F Castella, P Chartier, S Descombes, G Vilmart BIT Numerical Mathematics 49, 487-508, 2009 | 111 | 2009 |
| Algebraic structures of B-series P Chartier, E Hairer, G Vilmart Foundations of Computational Mathematics 10, 407-427, 2010 | 99 | 2010 |
| High order numerical approximation of the invariant measure of ergodic SDEs A Abdulle, G Vilmart, KC Zygalakis SIAM Journal on Numerical Analysis 52 (4), 1600-1622, 2014 | 91 | 2014 |
| High weak order methods for stochastic differential equations based on modified equations A Abdulle, D Cohen, G Vilmart, KC Zygalakis SIAM Journal on Scientific Computing 34 (3), A1800-A1823, 2012 | 78 | 2012 |
| Long time accuracy of Lie--Trotter splitting methods for Langevin dynamics A Abdulle, G Vilmart, KC Zygalakis SIAM Journal on Numerical Analysis 53 (1), 1-16, 2015 | 67 | 2015 |
| Numerical integrators based on modified differential equations P Chartier, E Hairer, G Vilmart Mathematics of computation 76 (260), 1941-1953, 2007 | 67 | 2007 |
| The role of symplectic integrators in optimal control M Chyba, E Hairer, G Vilmart Optimal control applications and methods 30 (4), 367-382, 2009 | 56 | 2009 |
| Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems A Abdulle, G Vilmart Mathematics of Computation 83 (286), 513-536, 2014 | 51* | 2014 |
| Weak second order explicit stabilized methods for stiff stochastic differential equations A Abdulle, G Vilmart, KC Zygalakis SIAM Journal on Scientific Computing 35 (4), A1792-A1814, 2013 | 47 | 2013 |
| A substitution law for B-series vector fields P Chartier, E Hairer, G Vilmart INRIA, 2005 | 46 | 2005 |
| A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems A Abdulle, G Vilmart Numerische Mathematik 121, 397-431, 2012 | 43 | 2012 |
| Preprocessed discrete Moser–Veselov algorithm for the full dynamics of a rigid body E Hairer, G Vilmart Journal of Physics A: Mathematical and General 39 (42), 13225, 2006 | 41 | 2006 |
| Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems A Abdulle, Y Bai, G Vilmart | 34 | 2013 |
| Coupling heterogeneous multiscale FEM with Runge–Kutta methods for parabolic homogenization problems: A fully discrete spacetime analysis A Abdulle, G Vilmart Mathematical Models and Methods in Applied Sciences 22 (06), 1250002, 2012 | 33 | 2012 |
| A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations P Chartier, M Lemou, F Méhats, G Vilmart Foundations of Computational Mathematics 20, 1-33, 2020 | 32 | 2020 |
| Fast Langevin based algorithm for MCMC in high dimensions A Durmus, GO Roberts, G Vilmart, KC Zygalakis | 32 | 2017 |
| Optimal explicit stabilized integrator of weak order 1 for stiff and ergodic stochastic differential equations A Abdulle, I Almuslimani, G Vilmart SIAM/ASA Journal on Uncertainty Quantification 6 (2), 937-964, 2018 | 31 | 2018 |
| PIROCK: A swiss-knife partitioned implicit–explicit orthogonal Runge–Kutta Chebyshev integrator for stiff diffusion–advection–reaction problems with or without noise A Abdulle, G Vilmart Journal of Computational Physics 242, 869-888, 2013 | 31 | 2013 |
| High order integrator for sampling the invariant distribution of a class of parabolic stochastic PDEs with additive space-time noise CE Bréhier, G Vilmart SIAM Journal on Scientific Computing 38 (4), A2283-A2306, 2016 | 28 | 2016 |
| Postprocessed integrators for the high order integration of ergodic SDEs G Vilmart SIAM Journal on Scientific Computing 37 (1), A201-A220, 2015 | 26 | 2015 |
Philippe ChartierSenior researcher, INRIAVerified email at inria.fr
