L. E. Payne
Impact in
- Applied Mathematics top 0.05%
- Nonlinear Partial Differential Equations
- Mathematical Physics top 0.1%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
Papers in
-
- Advanced Mathematical Modeling in Engineering 147
- Contact Mechanics and Variational Inequalities 28
-
- Nonlinear Partial Differential Equations 56
- Differential Equations and Boundary Problems 33
- Co-authors
- Hans F. Weinberger (11 shared papers)R. J. Knops (28 shared papers)D. H. Sattinger (1 shared paper)Brian Straughan (23 shared papers)G. A. Philippin (32 shared papers)Philip Schaefer (22 shared papers)Junqiang Song (29 shared papers)Cornelius O. Horgan (17 shared papers)
- Journals
- Mathematical Methods in the Applied Sciences (28 papers)Journal of Mathematical Analysis and Applications (24 papers)Zeitschrift für angewandte Mathematik und Physik (19 papers)Archive for Rational Mechanics and Analysis (19 papers)Nonlinear Analysis (13 papers)
- Partner nations
- United StatesUnited KingdomCanada
In The Last Decade
L. E. Payne
284 papers receiving 7.1k citations
L. E. Payne's Hit Papers
Peers
Comparison fields: 5 of 123
- Applied Mathematics 3.4k
- Mathematical Physics 2.9k
- Computational Theory and Mathematics 4.1k
- Numerical Analysis 706
- Computational Mechanics 1.8k
Countries citing papers authored by L. E. Payne
This map shows the geographic impact of L. E. Payne'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 L. E. Payne with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites L. E. Payne more than expected).
Fields of papers citing papers by L. E. Payne
This network shows the impact of papers produced by L. E. Payne. 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 L. E. Payne. The network helps show where L. E. Payne may publish in the future.
Co-authors
The 25 scholars most cited alongside L. E. Payne, 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 299 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Saddle points and instability of nonlinear hyperbolic equations Hit paper breakdown → | 1975 | 628 |
| 2 | 1960 | 439 | |
| 3 | 1967 | 271 | |
| 4 | 1956 | 207 | |
| 5 | 1960 | 197 | |
| 6 | 1974 | 164 | |
| 7 | 1971 | 151 | |
| 8 | 1958 | 117 | |
| 9 | 1998 | 114 | |
| 10 | 1989 | 109 | |
| 11 | 1961 | 102 | |
| 12 | 2006 | 100 | |
| 13 | 1984 | 98 | |
| 14 | 1999 | 97 | |
| 15 | 1991 | 89 | |
| 16 | 1999 | 89 | |
| 17 | 2006 | 88 | |
| 18 | 2007 | 79 | |
| 19 | 1983 | 76 | |
| 20 | 2010 | 76 |
About L. E. Payne
L. E. Payne is a scholar working on Computational Theory and Mathematics, Applied Mathematics, Mathematical Physics, Mechanics of Materials and Computational Mechanics, having authored 299 papers that have together received 8.4k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (147 papers), Numerical methods in inverse problems (56 papers), Nonlinear Partial Differential Equations (56 papers), Stability and Controllability of Differential Equations (53 papers), Differential Equations and Boundary Problems (33 papers), Contact Mechanics and Variational Inequalities (28 papers), Elasticity and Material Modeling (24 papers) and Advanced Numerical Methods in Computational Mathematics (23 papers). The work is most often cited by research in Applied Mathematics (3.4k citations), Mathematical Physics (2.9k citations), Computational Theory and Mathematics (4.1k citations), Numerical Analysis (706 citations) and Computational Mechanics (1.8k citations). L. E. Payne has collaborated with scholars based in United States, United Kingdom and Canada. Frequent co-authors include Hans F. Weinberger, R. J. Knops, D. H. Sattinger, Brian Straughan, G. A. Philippin, Philip Schaefer, Junqiang Song, Cornelius O. Horgan, Howard A. Levine and William H. Pell. Their work appears in journals such as Mathematical Methods in the Applied Sciences, Journal of Mathematical Analysis and Applications, Zeitschrift für angewandte Mathematik und Physik, Archive for Rational Mechanics and Analysis and Nonlinear Analysis.
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.