Lloyd N. Trefethen
Impact in
- Numerical Analysis top 0.05%
- Numerical methods for differential equations
- Computational Mathematics top 0.5%
Papers in
-
- Matrix Theory and Algorithms 56
- Numerical Methods and Algorithms 20
-
- Iterative Methods for Nonlinear Equations 25
- Numerical methods for differential equations 22
- Co-authors
- David Bau (2 shared papers)Tobin A. Driscoll (11 shared papers)Mark Embree (8 shared papers)Jean‐Paul Berrut (1 shared paper)J. A. C. Weideman (6 shared papers)Anne Trefethen (5 shared papers)Laurence Halpern (3 shared papers)Kim-Chuan Toh (6 shared papers)
- Journals
- SIAM Journal on Scientific Computing (19 papers)SIAM Review (16 papers)SIAM Journal on Numerical Analysis (12 papers)SIAM Journal on Matrix Analysis and Applications (7 papers)Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (7 papers)
- Partner nations
- United KingdomUnited StatesSwitzerland
In The Last Decade
Lloyd N. Trefethen
172 papers receiving 16.1k citations
Lloyd N. Trefethen's Hit Papers
Peers
Comparison fields: 5 of 172
- Numerical Analysis 3.8k
- Computational Mathematics 181
- Computational Mechanics 5.4k
- Modeling and Simulation 1.2k
- Computational Theory and Mathematics 3.9k
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-authors
The 25 scholars most cited alongside Lloyd N. Trefethen, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 175 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Spectral Methods in MATLAB Hit paper breakdown → | 2000 | 3138 |
| 2 | Numerical Linear Algebra Hit paper breakdown → | 1997 | 2138 |
| 3 | Hydrodynamic Stability Without Eigenvalues Hit paper breakdown → | 1993 | 1284 |
| 4 | Spectra and Pseudospectra Hit paper breakdown → | 2005 | 957 |
| 5 | Barycentric Lagrange Interpolation Hit paper breakdown → | 2004 | 780 |
| 6 | Fourth-Order Time-Stepping for Stiff PDEs Hit paper breakdown → | 2005 | 679 |
| 7 | Approximation Theory and Approximation Practice Hit paper breakdown → | 2013 | 571 |
| 8 | Schwarz-Christoffel Mapping Hit paper breakdown → | 2002 | 434 |
| 9 | Is Gauss Quadrature Better than Clenshaw–Curtis? Hit paper breakdown → | 2008 | 410 |
| 10 | 1982 | 365 | |
| 11 | 1997 | 348 | |
| 12 | The Exponentially Convergent Trapezoidal Rule Hit paper breakdown → | 2014 | 318 |
| 13 | 1992 | 223 | |
| 14 | 1980 | 203 | |
| 15 | 2019 | 196 | |
| 16 | 2007 | 175 | |
| 17 | 2004 | 170 | |
| 18 | 2006 | 148 | |
| 19 | 2003 | 148 | |
| 20 | 1999 | 145 |
About Lloyd N. Trefethen
Lloyd N. Trefethen is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Applied Mathematics, Computational Mechanics and Atomic and Molecular Physics, and Optics, having authored 175 papers that have together received 17.6k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (56 papers), Mathematical functions and polynomials (34 papers), Electromagnetic Scattering and Analysis (25 papers), Iterative Methods for Nonlinear Equations (25 papers), Numerical methods for differential equations (22 papers), Numerical Methods and Algorithms (20 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Scientific Research and Discoveries (12 papers). The work is most often cited by research in Numerical Analysis (3.8k citations), Computational Mathematics (181 citations), Computational Mechanics (5.4k citations), Modeling and Simulation (1.2k citations) and Computational Theory and Mathematics (3.9k citations). Lloyd N. Trefethen has collaborated with scholars based in United Kingdom, United States and Switzerland. Frequent co-authors include David Bau, Tobin A. Driscoll, Mark Embree, Jean‐Paul Berrut, J. A. C. Weideman, Anne Trefethen, Laurence Halpern, Kim-Chuan Toh, Noël M. Nachtigal and Lothar Reichel. Their work appears in journals such as SIAM Journal on Scientific Computing, SIAM Review, SIAM Journal on Numerical Analysis, SIAM Journal on Matrix Analysis and Applications and Proceedings of the Royal Society A Mathematical Physical and Engineering 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.