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 | 172 | 72 | ||
| Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs | IMA journal of numerical analysis | | 2023 | 78 | 32 | ||
| Drift-preserving numerical integrators for stochastic Poisson systems | International journal of computer mathematics | | 2022 | 171 | 54 | ||
| Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds | Foundations of computational mathematics | | 2021 | 118 | 86 | ||
| Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions | Mathematics of computation | | 2021 | 319 | 68 | ||
| Explicit Stabilized Integrators for Stiff Optimal Control Problems | SIAM Journal on Scientific Computing | | 2021 | 171 | 159 | ||
| Explicit stabilised gradient descent for faster strongly convex optimisation | BIT Numerical Mathematics | | 2021 | 167 | 151 | ||
| Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations | SIAM Journal on Scientific Computing | | 2020 | 245 | 153 | ||
| Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs | Mathematics of Computation | | 2020 | 475 | 123 | ||
| A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations | Foundations of Computational Mathematics | | 2020 | 288 | 209 | ||
| 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 | 246 | 186 | ||
| Highly oscillatory problems with time-dependent vanishing frequency | SIAM Journal on Numerical Analysis | | 2019 | 380 | 183 | ||
| Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations | Comptes rendus Mathematique | | 2019 | 361 | 95 | ||
| Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations | SIAM/ASA Journal on Uncertainty Quantification | | 2018 | 407 | 204 | ||
| Fast Langevin based algorithm for MCMC in high dimensions | Annals of Applied Probability | | 2017 | 483 | 209 | ||
| Computing the long term evolution of the solar system with geometric numerical integrators | Snapshots of modern mathematics from Oberwolfach | | 2017 | 408 | 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 | 483 | 239 | ||
| Asymptotic Preserving numerical schemes for multiscale parabolic problems | Comptes rendus. Mathématique | | 2016 | 539 | 214 | ||
| Rigid body dynamics | Encyclopedia of Applied and Computational Mathematics | | 2015 | 510 | 222 | ||
| Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Discrete and continuous dynamical systems. Series S | | 2015 | 811 | 390 | ||
| Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems | Multiscale modeling & simulation | | 2015 | 597 | 183 | ||
| Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics | SIAM journal on mathematical analysis |  | 2015 | 828 | 2 | ||
| Postprocessed Integrators for the High Order Integration of Ergodic SDEs | SIAM journal on scientific computing | | 2015 | 503 | 267 | ||
| High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs | SIAM journal on numerical analysis | | 2014 | 707 | 425 | ||
| Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise | SIAM journal on scientific computing | | 2014 | 782 | 645 | ||
| Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Mathematics of computation | | 2014 | 648 | 294 | ||
| Multi-revolution composition methods for highly oscillatory differential equations | Numerische Mathematik | | 2014 | 573 | 1 390 | ||
| 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 | 616 | 1 085 | ||
| Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations | SIAM journal on scientific computing | | 2013 | 609 | 317 | ||
| Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations | BIT | | 2013 | 606 | 230 | ||
| 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 | 762 | 1 021 | ||
| 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 | 600 | 232 | ||
| A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems | Numerische Mathematik | | 2012 | 613 | 248 | ||
| High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations | SIAM journal on scientific computing | | 2012 | 567 | 292 | ||
| 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 | 580 | 273 | ||
| Algebraic structures of B-series | Foundations of computational mathematics | | 2010 | 613 | 373 | ||
| Splitting methods with complex times for parabolic equations | BIT | | 2009 | 617 | 410 | ||
| The role of symplectic integrators in optimal control | Optimal control applications & methods | | 2009 | 596 | 311 | ||
| Étude d'intégrateurs géométriques pour des équations différentielles | | 2008 | 1 272 | 1 149 | |||
| Reducing round-off errors in rigid body dynamics | Journal of computational physics | | 2008 | 616 | 557 | ||
| Numerical integrators based on modified differential equations | Mathematics of computation | | 2007 | 573 | 0 | ||
| Modified differential equations | ESAIM. Proceedings | | 2007 | 612 | 235 | ||
| Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body | Journal of physics. A, mathematical and general | | 2006 | 587 | 459 |
