Gilles Vilmart

Publications

895

Citations

H-Index

2005

Active since

Affiliations

Institut de recherche mathématique de Rennes(Current)

École Polytechnique Fédérale de Lausanne

University of Geneva

École Normale Supérieure de Rennes

École Normale Supérieure Paris-Saclay

Gilles Vilmart is an author at Institut de recherche mathématique de Rennes specializing in engineering, numerical analysis, and computational mechanics.

ORCID

Top concepts

EngineeringNumerical AnalysisComputational MechanicsNumerical SimulationMultiscale ModelingStochastic CalculusFinite Element MethodStochastic AnalysisReduced Order ModelingSpace Engineering

Publications per year

2005–2023

Publications

Algebraic Structures of B-series

Philippe Chartier, Ernst Hairer, Gilles Vilmart · Foundations of Computational Mathematics · 2010 · 100 citations · Full text

Algebraic Analysis, Algebraic Combinatorics, Algebraic Structures +1

Splitting methods with complex times for parabolic equations

F. Castella, P. Chartier, Stéphane Descombes et al. · BIT Numerical Mathematics · 2009 · 96 citations · Full text

Numerical Analysis, Engineering, Complex Times +4

High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs

Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis · SIAM Journal on Numerical Analysis · 2014 · 78 citations · Full text

Engineering, Uncertainty Quantification, Invariant Measures +15

Long Time Accuracy of Lie--Trotter Splitting Methods for Langevin Dynamics

Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis · SIAM Journal on Numerical Analysis · 2015 · 59 citations · Full text

Numerical Analysis, Numerical Method For Partial Differential Equation, Engineering +15

Numerical integrators based on modified differential equations

Philippe Chartier, Ernst Hairer, Gilles Vilmart · Mathematics of Computation · 2007 · 52 citations · Full text

Numerical Analysis, Numerical Method For Partial Differential Equation, Reduced Order Modeling +11

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