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 | 274 | 335 | ||
| Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs | IMA journal of numerical analysis | | 2023 | 123 | 176 | ||
| Drift-preserving numerical integrators for stochastic Poisson systems | International journal of computer mathematics | | 2022 | 238 | 84 | ||
| Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds | Foundations of computational mathematics | | 2021 | 164 | 354 | ||
| Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions | Mathematics of computation | | 2021 | 389 | 211 | ||
| Explicit Stabilized Integrators for Stiff Optimal Control Problems | SIAM Journal on Scientific Computing | | 2021 | 220 | 362 | ||
| Explicit stabilised gradient descent for faster strongly convex optimisation | BIT Numerical Mathematics | | 2021 | 217 | 176 | ||
| Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations | SIAM Journal on Scientific Computing | | 2020 | 306 | 233 | ||
| Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs | Mathematics of Computation | | 2020 | 535 | 197 | ||
| A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations | Foundations of Computational Mathematics | | 2020 | 342 | 358 | ||
| 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 | 303 | 307 | ||
| Highly oscillatory problems with time-dependent vanishing frequency | SIAM Journal on Numerical Analysis | | 2019 | 437 | 250 | ||
| Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations | Comptes rendus Mathematique | | 2019 | 460 | 226 | ||
| Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations | SIAM/ASA Journal on Uncertainty Quantification | | 2018 | 465 | 313 | ||
| Fast Langevin based algorithm for MCMC in high dimensions | Annals of Applied Probability | | 2017 | 533 | 303 | ||
| Computing the long term evolution of the solar system with geometric numerical integrators | Snapshots of modern mathematics from Oberwolfach | | 2017 | 469 | 254 | ||
| 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 | 537 | 341 | ||
| Asymptotic Preserving numerical schemes for multiscale parabolic problems | Comptes rendus. Mathématique | | 2016 | 587 | 235 | ||
| Rigid body dynamics | Encyclopedia of Applied and Computational Mathematics | | 2015 | 547 | 292 | ||
| Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Discrete and continuous dynamical systems. Series S | | 2015 | 856 | 438 | ||
| Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems | Multiscale modeling & simulation | | 2015 | 654 | 219 | ||
| Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics | SIAM journal on mathematical analysis |  | 2015 | 877 | 2 | ||
| Postprocessed Integrators for the High Order Integration of Ergodic SDEs | SIAM journal on scientific computing | | 2015 | 562 | 378 | ||
| High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs | SIAM journal on numerical analysis | | 2014 | 769 | 568 | ||
| Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise | SIAM journal on scientific computing | | 2014 | 839 | 763 | ||
| Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Mathematics of computation | | 2014 | 694 | 365 | ||
| Multi-revolution composition methods for highly oscillatory differential equations | Numerische Mathematik | | 2014 | 642 | 1,513 | ||
| 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 | 662 | 1,167 | ||
| Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations | SIAM journal on scientific computing | | 2013 | 658 | 505 | ||
| Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations | BIT | | 2013 | 668 | 266 | ||
| 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 | 811 | 1,110 | ||
| 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 | 654 | 296 | ||
| A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems | Numerische Mathematik | | 2012 | 677 | 398 | ||
| High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations | SIAM journal on scientific computing | | 2012 | 644 | 613 | ||
| 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 | 674 | 351 | ||
| Algebraic structures of B-series | Foundations of computational mathematics | | 2010 | 718 | 502 | ||
| Splitting methods with complex times for parabolic equations | BIT | | 2009 | 686 | 586 | ||
| The role of symplectic integrators in optimal control | Optimal control applications & methods | | 2009 | 679 | 370 | ||
| Étude d'intégrateurs géométriques pour des équations différentielles | | 2008 | 1,562 | 1,193 | |||
| Reducing round-off errors in rigid body dynamics | Journal of computational physics | | 2008 | 681 | 755 | ||
| Numerical integrators based on modified differential equations | Mathematics of computation | | 2007 | 682 | 0 | ||
| Modified differential equations | ESAIM. Proceedings | | 2007 | 669 | 298 | ||
| Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body | Journal of physics. A, mathematical and general | | 2006 | 692 | 547 |
