Allan Peterson
- Numerical Analysis top 0.05%
- Differential Equations and Numerical Methods 60
- Numerical methods for differential equations 34
- Applied Mathematics top 0.01%
- Nonlinear Differential Equations Analysis 110
- Differential Equations and Boundary Problems 33
- Modeling and Simulation top 0.02%
- Fractional Differential Equations Solutions 40
- Geometry and Topology top 0.2%
- Control and Systems Engineering top 0.2%
- Stability and Controllability of Differential Equations 35
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- Mathematical and Theoretical Epidemiology and Ecology Models 19
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- Spectral Theory in Mathematical Physics 14
- Co-authors
- Martin BöhnerLynn ErbeWalter G. KelleyChristopher S. GoodrichRavi P. AgarwalCalvin D. AhlbrandtRichard I. AverySamir H. Saker
- Journals
- The Journal of Difference Equations and Applications (19 papers)Journal of Mathematical Analysis and Applications (15 papers)Proceedings of the American Mathematical Society (8 papers)
- Partner nations
- United StatesChinaEgypt
In The Last Decade
Allan Peterson
145 papers receiving 9.5k citations
Hit Papers
Peers
Comparison fields: 5 of 110
- Numerical Analysis 4.8k
- Applied Mathematics 9.0k
- Modeling and Simulation 3.3k
- Geometry and Topology 1.2k
- Control and Systems Engineering 3.1k
Countries citing papers authored by Allan Peterson
This map shows the geographic impact of Allan Peterson'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 Allan Peterson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Allan Peterson more than expected).
Fields of papers citing papers by Allan Peterson
This network shows the impact of papers produced by Allan Peterson. 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 Allan Peterson. The network helps show where Allan Peterson may publish in the future.
Co-authorship network
The 25 scholars most cited alongside Allan Peterson, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2019 | 2 | |
| 2 | 2018 | 10 | |
| 3 | 2017 | 28 | |
| 4 | 2016 | 5 | |
| 5 | SOME RELATIONS BETWEEN THE CAPUTO FRACTIONAL DIFFERENCE OPERATORS AND INTEGER-ORDER DIFFERENCES | 2015 | 21 |
| 6 | ASYMPTOTIC BEHAVIOR OF n-TH ORDER SUBLINEAR DYNAMIC EQUATIONS ON TIME SCALES | 2011 | 1 |
| 7 | Recent results concerning dynamic equations on time scales. | 2007 | 3 |
| 8 | 2006 | 102 | |
| 9 | 2006 | 79 | |
| 10 | 2005 | 3 | |
| 11 | Advances in Dynamic Equations on Time Scalesbreakdown → | 2003 | 1692 |
| 12 | 2003 | 18 | |
| 13 | 2002 | 61 | |
| 14 | Discrete Linear Hamiltonian Systems: A Survey | 1999 | 29 |
| 15 | 1998 | 48 | |
| 16 | 1996 | 4 | |
| 17 | 1994 | 25 | |
| 18 | 1988 | 8 | |
| 19 | 1969 | 10 | |
| 20 | Distribution of zeros of solutions of linear differential equations of order four | 1968 | 1 |
About Allan Peterson
Allan Peterson is a scholar working on Numerical Analysis, Applied Mathematics and Modeling and Simulation, having authored 152 papers that have together received 11.0k indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (110 papers), Differential Equations and Numerical Methods (60 papers), Fractional Differential Equations Solutions (40 papers), Stability and Controllability of Differential Equations (35 papers), Numerical methods for differential equations (34 papers), Differential Equations and Boundary Problems (33 papers), Mathematical and Theoretical Epidemiology and Ecology Models (19 papers) and Spectral Theory in Mathematical Physics (14 papers). The work is most often cited by research in Numerical Analysis (4.8k citations), Applied Mathematics (9.0k citations) and Modeling and Simulation (3.3k citations). Allan Peterson has collaborated with scholars based in United States, China and Egypt. Frequent co-authors include Martin Böhner, Lynn Erbe, Walter G. Kelley, Christopher S. Goodrich, Ravi P. Agarwal, Calvin D. Ahlbrandt, Richard I. Avery, Samir H. Saker, Baoguo Jia and Donal O’Regan. 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, Computers & Mathematics with Applications and Journal of Computational and Applied Mathematics.
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.