Gilles Vilmart

1.0k total citations
39 papers, 557 citations indexed

About

Gilles Vilmart is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Gilles Vilmart has authored 39 papers receiving a total of 557 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Numerical Analysis, 20 papers in Computational Mechanics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Gilles Vilmart's work include Numerical methods for differential equations (21 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Advanced Mathematical Modeling in Engineering (11 papers). Gilles Vilmart is often cited by papers focused on Numerical methods for differential equations (21 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Advanced Mathematical Modeling in Engineering (11 papers). Gilles Vilmart collaborates with scholars based in Switzerland, France and United Kingdom. Gilles Vilmart's co-authors include Assyr Abdulle, Konstantinos C. Zygalakis, Ernst Hairer, Philippe Chartier, Stéphane Descombes, P. Chartier, F. Castella, David Cohen, Charles-Édouard Bréhier and Monique Chyba and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and International Journal for Numerical Methods in Engineering.

In The Last Decade

Gilles Vilmart

39 papers receiving 515 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gilles Vilmart Switzerland 16 235 227 177 118 111 39 557
Masaaki Sugihara Japan 18 505 2.1× 149 0.7× 239 1.4× 24 0.2× 95 0.9× 61 953
Taketomo Mitsui Japan 12 420 1.8× 136 0.6× 234 1.3× 316 2.7× 110 1.0× 37 770
Mohammad Masjed‐Jamei Iran 16 264 1.1× 52 0.2× 88 0.5× 13 0.1× 185 1.7× 111 912
Dirk Laurie South Africa 11 183 0.8× 73 0.3× 191 1.1× 10 0.1× 54 0.5× 22 525
Nasrin Samadyar Iran 29 662 2.8× 114 0.5× 49 0.3× 142 1.2× 344 3.1× 41 1.4k
Jean-Michel Bony France 11 89 0.4× 252 1.1× 333 1.9× 75 0.6× 91 0.8× 33 1.5k
Alois Kufner Czechia 18 285 1.2× 201 0.9× 888 5.0× 31 0.3× 32 0.3× 74 2.9k
Quôc Thông Lê Gia Australia 14 129 0.5× 197 0.9× 126 0.7× 10 0.1× 21 0.2× 55 537
Semyon Yakubovich Portugal 15 104 0.4× 24 0.1× 39 0.2× 28 0.2× 125 1.1× 101 952
Aline Bonami France 18 96 0.4× 34 0.1× 134 0.8× 108 0.9× 23 0.2× 63 1.2k

Countries citing papers authored by Gilles Vilmart

Since Specialization
Citations

This map shows the geographic impact of Gilles Vilmart's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gilles Vilmart with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gilles Vilmart more than expected).

Fields of papers citing papers by Gilles Vilmart

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gilles Vilmart. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gilles Vilmart. The network helps show where Gilles Vilmart may publish in the future.

Co-authorship network of co-authors of Gilles Vilmart

This figure shows the co-authorship network connecting the top 25 collaborators of Gilles Vilmart. A scholar is included among the top collaborators of Gilles Vilmart based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gilles Vilmart. Gilles Vilmart is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Vilmart, Gilles, et al.. (2025). Time-adaptive PIROCK method with error control for multi-fluid and single-fluid magnetohydrodynamics systems. Astronomy and Astrophysics. 695. A262–A262. 1 indexed citations
2.
Leimkuhler, Benedict, Richard Tzong‐Han Tsai, Gilles Vilmart, & Rachel Ward. (2024). Constrained Dynamics, Stochastic Numerical Methods and the Modeling of Complex Systems. Oberwolfach Reports. 21(2). 1445–1516. 1 indexed citations
3.
Ducret, Véréna, et al.. (2023). SINDy for delay-differential equations: application to model bacterial zinc response. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 479(2269). 16 indexed citations
4.
Abdulle, Assyr, Grigorios A. Pavliotis, & Gilles Vilmart. (2019). Convergence accélérée vers l'équilibre et variance asymptotique réduite pour la dynamique de Langevin à l'aide de perturbations de Stratonovich. HAL (Le Centre pour la Communication Scientifique Directe). 4 indexed citations
5.
Vilmart, Gilles, et al.. (2019). Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs. Mathematics of Computation. 89(321). 169–202. 8 indexed citations
6.
Durmus, Alain, et al.. (2017). Fast Langevin based algorithm for MCMC in high dimensions. The Annals of Applied Probability. 27(4). 10 indexed citations
7.
Bréhier, Charles-Édouard & Gilles Vilmart. (2016). High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise. Archive ouverte UNIGE (University of Geneva). 13 indexed citations
8.
Crouseilles, Nicolas, Mohammed Lemou, & Gilles Vilmart. (2016). Asymptotic Preserving numerical schemes for multiscale parabolic problems. Comptes Rendus Mathématique. 354(3). 271–276. 1 indexed citations
9.
Vilmart, Gilles. (2014). Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise. SIAM Journal on Scientific Computing. 36(4). A1770–A1796. 10 indexed citations
10.
Abdulle, Assyr, Gilles Vilmart, & Konstantinos C. Zygalakis. (2014). High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs. SIAM Journal on Numerical Analysis. 52(4). 1600–1622. 39 indexed citations
11.
Chartier, Philippe, et al.. (2014). Multi-revolution composition methods for highly oscillatory differential equations. Numerische Mathematik. 128(1). 167–192. 18 indexed citations
12.
Abdulle, Assyr & Gilles Vilmart. (2013). Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems. Mathematics of Computation. 83(286). 513–536. 19 indexed citations
13.
Abdulle, Assyr, Gilles Vilmart, & Konstantinos C. Zygalakis. (2013). Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations. SIAM Journal on Scientific Computing. 35(4). A1792–A1814. 30 indexed citations
14.
15.
Abdulle, Assyr, Gilles Vilmart, & Konstantinos C. Zygalakis. (2013). Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations. BIT Numerical Mathematics. 53(4). 827–840. 9 indexed citations
16.
Abdulle, Assyr, Gilles Vilmart, & Konstantinos C. Zygalakis. (2012). Second weak order explicit stabilized methods for stiff stochastic differential equations. 2 indexed citations
17.
Abdulle, Assyr, David Cohen, Gilles Vilmart, & Konstantinos C. Zygalakis. (2011). High order weak methods for stochastic differential equations based on modified equations. Oxford University Research Archive (ORA) (University of Oxford). 8 indexed citations
18.
Abdulle, Assyr & Gilles Vilmart. (2011). The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods. Comptes Rendus Mathématique. 349(19-20). 1041–1046. 9 indexed citations
19.
Chartier, Philippe, Ernst Hairer, & Gilles Vilmart. (2010). Algebraic Structures of B-series. Foundations of Computational Mathematics. 10(4). 407–427. 49 indexed citations
20.
Chyba, Monique, Ernst Hairer, & Gilles Vilmart. (2008). The role of symplectic integrators in optimal control. Optimal Control Applications and Methods. 30(4). 367–382. 19 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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