GV
Vilmart, Gilles
| Title | Published in | Access level | OA Policy | Year | Views | Downloads | |
|---|---|---|---|---|---|---|---|
| SINDy for delay-differential equations: application to model bacterial zinc response | Proceedings - Royal Society. Mathematical, physical and engineering sciences |  | 2023 | 165 | 59 | ||
| Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs | IMA journal of numerical analysis | | 2023 | 76 | 30 | ||
| Drift-preserving numerical integrators for stochastic Poisson systems | International journal of computer mathematics | | 2022 | 162 | 52 | ||
| Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds | Foundations of computational mathematics | | 2021 | 114 | 79 | ||
| Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions | Mathematics of computation | | 2021 | 311 | 65 | ||
| Explicit Stabilized Integrators for Stiff Optimal Control Problems | SIAM Journal on Scientific Computing | | 2021 | 169 | 144 | ||
| Explicit stabilised gradient descent for faster strongly convex optimisation | BIT Numerical Mathematics | | 2021 | 164 | 149 | ||
| Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations | SIAM Journal on Scientific Computing | | 2020 | 243 | 149 | ||
| Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs | Mathematics of Computation | | 2020 | 472 | 120 | ||
| A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations | Foundations of Computational Mathematics | | 2020 | 283 | 203 | ||
| Strang Splitting Method for Semilinear Parabolic Problems With Inhomogeneous Boundary Conditions: A Correction Based on the Flow of the Nonlinearity | SIAM Journal on Scientific Computing | | 2020 | 244 | 181 | ||
| Highly oscillatory problems with time-dependent vanishing frequency | SIAM Journal on Numerical Analysis | | 2019 | 377 | 180 | ||
| Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations | Comptes rendus Mathematique | | 2019 | 358 | 91 | ||
| Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations | SIAM/ASA Journal on Uncertainty Quantification | | 2018 | 400 | 197 | ||
| Fast Langevin based algorithm for MCMC in high dimensions | Annals of Applied Probability | | 2017 | 478 | 206 | ||
| Computing the long term evolution of the solar system with geometric numerical integrators | Snapshots of modern mathematics from Oberwolfach | | 2017 | 406 | 131 | ||
| High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise | SIAM journal on scientific computing | | 2016 | 476 | 237 | ||
| Asymptotic Preserving numerical schemes for multiscale parabolic problems | Comptes rendus. Mathématique | | 2016 | 535 | 209 | ||
| Rigid body dynamics | Encyclopedia of Applied and Computational Mathematics | | 2015 | 506 | 220 | ||
| Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Discrete and continuous dynamical systems. Series S | | 2015 | 807 | 389 | ||
| Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems | Multiscale modeling & simulation | | 2015 | 593 | 182 | ||
| Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics | SIAM journal on mathematical analysis |  | 2015 | 821 | 2 | ||
| Postprocessed Integrators for the High Order Integration of Ergodic SDEs | SIAM journal on scientific computing | | 2015 | 498 | 260 | ||
| High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs | SIAM journal on numerical analysis | | 2014 | 703 | 414 | ||
| Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise | SIAM journal on scientific computing | | 2014 | 772 | 642 | ||
| Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Mathematics of computation | | 2014 | 644 | 290 | ||
| Multi-revolution composition methods for highly oscillatory differential equations | Numerische Mathematik | | 2014 | 570 | 1 383 | ||
| An offline-online homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems | International journal for numerical methods in engineering | | 2014 | 610 | 1 082 | ||
| Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations | SIAM journal on scientific computing | | 2013 | 600 | 306 | ||
| Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations | BIT | | 2013 | 603 | 229 | ||
| PIROCK: A swiss-knife partitioned implicit–explicit orthogonal Runge–Kutta Chebyshev integrator for stiff diffusion–advection–reaction problems with or without noise | Journal of computational physics | | 2013 | 758 | 1 017 | ||
| Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis | Mathematical models and methods in applied sciences | | 2012 | 598 | 231 | ||
| A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems | Numerische Mathematik | | 2012 | 603 | 247 | ||
| High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations | SIAM journal on scientific computing | | 2012 | 562 | 276 | ||
| The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods | Comptes rendus. Mathématique | | 2011 | 574 | 271 | ||
| Algebraic structures of B-series | Foundations of computational mathematics | | 2010 | 604 | 360 | ||
| Splitting methods with complex times for parabolic equations | BIT | | 2009 | 613 | 404 | ||
| The role of symplectic integrators in optimal control | Optimal control applications & methods | | 2009 | 583 | 308 | ||
| Étude d'intégrateurs géométriques pour des équations différentielles | | 2008 | 1 258 | 1 138 | |||
| Reducing round-off errors in rigid body dynamics | Journal of computational physics | | 2008 | 612 | 539 | ||
| Numerical integrators based on modified differential equations | Mathematics of computation | | 2007 | 564 | 0 | ||
| Modified differential equations | ESAIM. Proceedings | | 2007 | 605 | 232 | ||
| Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body | Journal of physics. A, mathematical and general | | 2006 | 585 | 451 |
