Lloyd N. Trefethen
- Computational Mechanics top 0.05%
- Computational Theory and Mathematics top 0.05%
- Numerical Analysis top 0.05%
- Statistical and Nonlinear Physics top 0.1%
- Atomic and Molecular Physics, and Optics top 1%
- Co-authors
- David BauTobin A. DriscollMark EmbreeS C ReddyJean‐Paul BerrutJ. A. C. WeidemanAnne TrefethenLaurence Halpern
- Topics
- Matrix Theory and Algorithms (56 papers)Mathematical functions and polynomials (34 papers)Iterative Methods for Nonlinear Equations (25 papers)
- Partner nations
- United KingdomUnited StatesSouth Africa
In The Last Decade
Lloyd N. Trefethen
172 papers receiving 15.8k citations
Hit Papers
Peers
Comparison fields: 5 of 172
- Computational Mechanics 5.4k
- Computational Theory and Mathematics 3.9k
- Numerical Analysis 3.8k
- Statistical and Nonlinear Physics 2.7k
- Atomic and Molecular Physics, and Optics 2.5k
Countries citing papers authored by Lloyd N. Trefethen
This map shows the geographic impact of Lloyd N. Trefethen'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 Lloyd N. Trefethen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lloyd N. Trefethen more than expected).
Fields of papers citing papers by Lloyd N. Trefethen
This network shows the impact of papers produced by Lloyd N. Trefethen. 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 Lloyd N. Trefethen. The network helps show where Lloyd N. Trefethen may publish in the future.
Co-authorship network of co-authors of Lloyd N. Trefethen
This figure shows the co-authorship network connecting the top 25 collaborators of Lloyd N. Trefethen. A scholar is included among the top collaborators of Lloyd N. Trefethen 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 Lloyd N. Trefethen. Lloyd N. Trefethen 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 | 4 | |
| 3 | 4 | |
| 4 | 1 | |
| 5 | 4 | |
| 6 | Approximation Theory and Approximation Practice (Other Titles in Applied Mathematics) | 64 |
| 7 | Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals | 63 |
| 8 | A spectral Petrov-Galerkin formulation for pipe flow II: Nonlinear transitional stages | 2 |
| 9 | 15 | |
| 10 | 22 | |
| 11 | A New Direction in Hydrodynamic Stability: Beyond Eigenvalues | 16 |
| 12 | 131 | |
| 13 | 63 | |
| 14 | 9 | |
| 15 | 125 | |
| 16 | 115 | |
| 17 | 28 | |
| 18 | 7 | |
| 19 | 24 | |
| 20 | 6 |
About Lloyd N. Trefethen
Lloyd N. Trefethen is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics, having authored 175 papers that have together received 17.4k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (56 papers), Mathematical functions and polynomials (34 papers) and Iterative Methods for Nonlinear Equations (25 papers). The work is most often cited by research in Numerical Analysis (3.8k citations), Computational Mathematics (176 citations) and Computational Mechanics (5.4k citations). Lloyd N. Trefethen has collaborated with scholars based in United Kingdom, United States and South Africa. Frequent co-authors include David Bau, Tobin A. Driscoll, Mark Embree, S C Reddy, Jean‐Paul Berrut, J. A. C. Weideman, Anne Trefethen, Laurence Halpern, Kim-Chuan Toh and Noël M. Nachtigal. Their work appears in journals such as Nature, Science and Proceedings of the National Academy of Sciences.
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.