Lynn Erbe
Impact in
- Numerical Analysis top 0.1%
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Applied Mathematics top 0.05%
- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
Papers in
-
- Nonlinear Differential Equations Analysis 142
- Differential Equations and Boundary Problems 49
-
- Differential Equations and Numerical Methods 99
- Numerical methods for differential equations 62
- Co-authors
- Allan Peterson (76 shared papers)Haiyan Wang (2 shared papers)Samir H. Saker (7 shared papers)Baoguo Jia (28 shared papers)Qingkai Kong (8 shared papers)Taher S. Hassan (11 shared papers)Wiesław Krawcewicz (10 shared papers)H. I. Freedman (3 shared papers)
- Journals
- The Journal of Difference Equations and Applications (18 papers)Journal of Mathematical Analysis and Applications (16 papers)Proceedings of the American Mathematical Society (14 papers)Applied Mathematics and Computation (8 papers)Nonlinear Analysis (6 papers)
- Partner nations
- United StatesCanadaChina
In The Last Decade
Lynn Erbe
184 papers receiving 4.2k citations
Lynn Erbe's Hit Papers
Peers
Comparison fields: 5 of 69
- Numerical Analysis 2.9k
- Applied Mathematics 4.2k
- Modeling and Simulation 1.1k
- Mathematical Physics 535
- Computational Theory and Mathematics 778
Countries citing papers authored by Lynn Erbe
This map shows the geographic impact of Lynn Erbe'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 Lynn Erbe with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lynn Erbe more than expected).
Fields of papers citing papers by Lynn Erbe
This network shows the impact of papers produced by Lynn Erbe. 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 Lynn Erbe. The network helps show where Lynn Erbe may publish in the future.
Co-authors
The 25 scholars most cited alongside Lynn Erbe, 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 195 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | On the existence of positive solutions of ordinary differential equations Hit paper breakdown → | 1994 | 397 |
| 2 | 1994 | 217 | |
| 3 | 2000 | 150 | |
| 4 | 1989 | 138 | |
| 5 | 2003 | 121 | |
| 6 | 2017 | 112 | |
| 7 | 1991 | 105 | |
| 8 | 2002 | 105 | |
| 9 | 2006 | 103 | |
| 10 | 1986 | 97 | |
| 11 | 1994 | 88 | |
| 12 | 2004 | 80 | |
| 13 | 2006 | 79 | |
| 14 | 2004 | 76 | |
| 15 | 1995 | 71 | |
| 16 | 1973 | 69 | |
| 17 | 2002 | 69 | |
| 18 | 1987 | 66 | |
| 19 | 1988 | 63 | |
| 20 | 1989 | 63 |
About Lynn Erbe
Lynn Erbe is a scholar working on Applied Mathematics, Numerical Analysis, Modeling and Simulation, Control and Systems Engineering and Computational Theory and Mathematics, having authored 195 papers that have together received 5.0k indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (142 papers), Differential Equations and Numerical Methods (99 papers), Numerical methods for differential equations (62 papers), Differential Equations and Boundary Problems (49 papers), Fractional Differential Equations Solutions (45 papers), Stability and Controllability of Differential Equations (36 papers), Advanced Differential Equations and Dynamical Systems (23 papers) and Advanced Mathematical Modeling in Engineering (18 papers). The work is most often cited by research in Numerical Analysis (2.9k citations), Applied Mathematics (4.2k citations), Modeling and Simulation (1.1k citations), Mathematical Physics (535 citations) and Computational Theory and Mathematics (778 citations). Lynn Erbe has collaborated with scholars based in United States, Canada and China. Frequent co-authors include Allan Peterson, Haiyan Wang, Samir H. Saker, Baoguo Jia, Qingkai Kong, Taher S. Hassan, Wiesław Krawcewicz, H. I. Freedman, G. J. Butler and Shaozhu Chen. Their work appears in journals such as The Journal of Difference Equations and Applications, Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society, Applied Mathematics and Computation 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.