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 | 275 | 378 | |||
| Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs | IMA journal of numerical analysis | 2023 | 124 | 196 | |||
| Drift-preserving numerical integrators for stochastic Poisson systems | International journal of computer mathematics | 2022 | 240 | 91 | |||
| Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds | Foundations of computational mathematics | 2021 | 165 | 411 | |||
| Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions | Mathematics of computation | 2021 | 390 | 219 | |||
| Explicit Stabilized Integrators for Stiff Optimal Control Problems | SIAM Journal on Scientific Computing | 2021 | 222 | 383 | |||
| Explicit stabilised gradient descent for faster strongly convex optimisation | BIT Numerical Mathematics | 2021 | 218 | 176 | |||
| Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations | SIAM Journal on Scientific Computing | 2020 | 308 | 251 | |||
| Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs | Mathematics of Computation | 2020 | 536 | 210 | |||
| A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations | Foundations of Computational Mathematics | 2020 | 343 | 381 | |||
| 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 | 313 | 316 | |||
| Highly oscillatory problems with time-dependent vanishing frequency | SIAM Journal on Numerical Analysis | 2019 | 439 | 262 | |||
| Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations | Comptes rendus Mathematique | 2019 | 461 | 283 | |||
| Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations | SIAM/ASA Journal on Uncertainty Quantification | 2018 | 466 | 319 | |||
| Fast Langevin based algorithm for MCMC in high dimensions | Annals of Applied Probability | 2017 | 534 | 314 | |||
| Computing the long term evolution of the solar system with geometric numerical integrators | Snapshots of modern mathematics from Oberwolfach | 2017 | 470 | 279 | |||
| 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 | 538 | 351 | |||
| Asymptotic Preserving numerical schemes for multiscale parabolic problems | Comptes rendus. Mathématique | 2016 | 588 | 237 | |||
| Rigid body dynamics | Encyclopedia of Applied and Computational Mathematics | 2015 | 548 | 299 | |||
| Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Discrete and continuous dynamical systems. Series S | 2015 | 857 | 440 | |||
| Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems | Multiscale modeling & simulation | 2015 | 656 | 219 | |||
| Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics | SIAM journal on mathematical analysis | 2015 | 879 | 2 | |||
| Postprocessed Integrators for the High Order Integration of Ergodic SDEs | SIAM journal on scientific computing | 2015 | 564 | 386 | |||
| High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs | SIAM journal on numerical analysis | 2014 | 771 | 571 | |||
| Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise | SIAM journal on scientific computing | 2014 | 840 | 779 | |||
| Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems | Mathematics of computation | 2014 | 695 | 371 | |||
| Multi-revolution composition methods for highly oscillatory differential equations | Numerische Mathematik | 2014 | 643 | 1,516 | |||
| 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 | 663 | 1,190 | |||
| Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations | SIAM journal on scientific computing | 2013 | 659 | 539 | |||
| Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations | BIT | 2013 | 669 | 270 | |||
| 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 | 814 | 1,117 | |||
| 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 | 655 | 311 | |||
| A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems | Numerische Mathematik | 2012 | 678 | 407 | |||
| High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations | SIAM journal on scientific computing | 2012 | 647 | 638 | |||
| 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 | 675 | 362 | |||
| Algebraic structures of B-series | Foundations of computational mathematics | 2010 | 720 | 520 | |||
| Splitting methods with complex times for parabolic equations | BIT | 2009 | 687 | 608 | |||
| The role of symplectic integrators in optimal control | Optimal control applications & methods | 2009 | 680 | 389 | |||
| Étude d'intégrateurs géométriques pour des équations différentielles | 2008 | 1,571 | 1,194 | ||||
| Reducing round-off errors in rigid body dynamics | Journal of computational physics | 2008 | 684 | 768 | |||
| Numerical integrators based on modified differential equations | Mathematics of computation | 2007 | 683 | 0 | |||
| Modified differential equations | ESAIM. Proceedings | 2007 | 670 | 308 | |||
| Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body | Journal of physics. A, mathematical and general | 2006 | 693 | 552 |
