Gilles Vilmart
- Numerical Analysis top 2%
- Computational Mechanics top 5%
- Computational Theory and Mathematics top 5%
- Finance top 5%
- Statistical and Nonlinear Physics top 5%
- Co-authors
- Assyr AbdulleKonstantinos C. ZygalakisErnst HairerPhilippe ChartierP. ChartierF. CastellaStéphane DescombesDavid Cohen
- Topics
- Numerical methods for differential equations (21 papers)Advanced Numerical Methods in Computational Mathematics (16 papers)Advanced Mathematical Modeling in Engineering (11 papers)
- Journals
- Journal of Computational PhysicsMathematics of ComputationInternational Journal for Numerical Methods in Engineering
- Partner nations
- SwitzerlandFranceUnited Kingdom
In The Last Decade
Gilles Vilmart
39 papers receiving 515 citations
Peers
Comparison fields: 5 of 56
- Numerical Analysis 235
- Computational Mechanics 227
- Computational Theory and Mathematics 177
- Finance 118
- Statistical and Nonlinear Physics 111
Countries citing papers authored by Gilles Vilmart
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
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
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 16 | |
| 3 | 4 | |
| 4 | 8 | |
| 5 | 10 | |
| 6 | High Order Integrator for Sampling the Invariant Distribution of a Class of Parabolic Stochastic PDEs with Additive Space-Time Noise | 13 |
| 7 | 1 | |
| 8 | 10 | |
| 9 | 39 | |
| 10 | 19 | |
| 11 | 22 | |
| 12 | 30 | |
| 13 | High order weak methods for stochastic differential equations based on modified equations | 8 |
| 14 | 9 | |
| 15 | 19 | |
| 16 | 49 | |
| 17 | 54 | |
| 18 | 19 | |
| 19 | 6 | |
| 20 | A substitution law for B-series vector fields | 16 |
About Gilles Vilmart
Gilles Vilmart is a scholar working on Numerical Analysis, Finance and Computational Mechanics, having authored 39 papers that have together received 557 indexed citations. Recurring topics across this 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). The work is most often cited by research in Numerical Analysis (235 citations), Finance (118 citations) and Computational Theory and Mathematics (177 citations). Gilles Vilmart has collaborated with scholars based in Switzerland, France and United Kingdom. Frequent co-authors include Assyr Abdulle, Konstantinos C. Zygalakis, Ernst Hairer, Philippe Chartier, P. Chartier, F. Castella, Stéphane Descombes, David Cohen, Charles-Édouard Bréhier and Monique Chyba. Their work appears in journals such as Journal of Computational Physics, Mathematics of Computation and International Journal for Numerical Methods in Engineering.
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.