Gilles Vilmart

Senior Lecturer

University of Geneva

Switzerland

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Gilles Vilmart is a Senior Lecturer at the University of Geneva, Switzerland. His research areas include multi-fluid magnetohydrodynamics, stochastic partial differential equations, and numerical analysis. His recent publications explore topics such as adaptive methods for error control, convergence analysis of integrators, and applications of dynamical systems in biological contexts.

Articles (6)

Year:

2025

Year:

2023

Year:

2023

Year:

2022

Year:

2022

Year:

2021

Collaborators (3)

David Cohen

Professor

Chalmers University of Technology

SWEDEN

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Karl Perron

University of Geneva

SWITZERLAND

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Georg A. Gottwald

University of Sydney

AUSTRALIA

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Gilles Vilmart

Research Interests

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Articles (6)

Time-adaptive PIROCK method with error control for multi-fluid and single-fluid magnetohydrodynamics systems

SINDy for delay-differential equations: application to model bacterial zinc response

Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs

Drift-preserving numerical integrators for stochastic Poisson systems

Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds

Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions

Collaborators (3)

David Cohen

Karl Perron

Georg A. Gottwald

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