Spectral Methods for Multiscale Stochastic Differential Equations. - Assyr Abdulle; Grigorios A. Pavliotis; Urbain Vaes (SIAM/ASA J. Uncertain. Quantification, 2017)

A linear, second-order, energy stable, fully adaptive finite element method for phase-field modelling of wetting phenomena. - Benjamin Aymard; Urbain Vaes; Marc Pradas; Serafim Kalliadasis (J. Comput. Phys. X, 2019)

Mean Field Limits for Interacting Diffusions with Colored Noise: Phase Transitions and Spectral Numerical Methods. - Susana N. Gomes; Grigorios A. Pavliotis; Urbain Vaes (Multiscale Model. Simul., 2020)

Consensus Based Sampling. - José Antonio Carrillo 001; Franca Hoffmann; Andrew M. Stuart; Urbain Vaes (CoRR, 2021)

Scaling Limits for the Generalized Langevin Equation. - Grigorios A. Pavliotis; Gabriel Stoltz; Urbain Vaes (J. Nonlinear Sci., 2021)

Derivative-Free Bayesian Inversion Using Multiscale Dynamics. - Grigorios A. Pavliotis; Andrew M. Stuart; Urbain Vaes (SIAM J. Appl. Dyn. Syst., 2022)

Mobility Estimation for Langevin Dynamics Using Control Variates. - Grigorios A. Pavliotis; Gabriel Stoltz; Urbain Vaes (Multiscale Model. Simul., 2023)

Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting. - Edoardo Calvello; Pierre Monmarché; Andrew M. Stuart; Urbain Vaes (CoRR, 2024)

Neural network approaches for variance reduction in fluctuation formulas. - Grigorios A. Pavliotis; Renato Spacek; Gabriel Stoltz; Urbain Vaes (CoRR, 2024)

CBX: Python and Julia Packages for Consensus-Based Interacting Particle Methods. - Rafael Bailo; Alethea Barbaro; Susana N. Gomes; Konstantin Riedl; Tim Roith; Claudia Totzeck; Urbain Vaes (J. Open Source Softw., 2024)

The Mean-Field Ensemble Kalman Filter: Near-Gaussian Setting. - José A. Carrillo 001; F. Hoffmann; Andrew M. Stuart; Urbain Vaes (SIAM J. Numer. Anal., 2024)

A Spectral Approach to Optimal Control of the Fokker-Planck Equation. - Dante Kalise; Lucas M. Moschen; Grigorios A. Pavliotis; Urbain Vaes (IEEE Control. Syst. Lett., 2025)

Dynamical reweighting for estimation of fluctuation formulas. - Raphaël Gastaldello; Gabriel Stoltz; Urbain Vaes (CoRR, 2025)