Allan Peterson
- Applied Mathematics top 0.01%
- Numerical Analysis top 0.05%
- Modeling and Simulation top 0.02%
- Control and Systems Engineering top 0.2%
- Geometry and Topology top 0.2%
- Co-authors
- Martin BöhnerLynn ErbeWalter G. KelleyChristopher S. GoodrichRavi P. AgarwalCalvin D. AhlbrandtRichard I. AverySamir H. Saker
- Topics
- Nonlinear Differential Equations Analysis (110 papers)Differential Equations and Numerical Methods (60 papers)Fractional Differential Equations Solutions (40 papers)
- Journals
- SHILAP Revista de lepidopterologíaJournal of Mathematical Analysis and ApplicationsApplied Mathematics and Computation
- Partner nations
- United StatesChinaEgypt
In The Last Decade
Allan Peterson
145 papers receiving 9.5k citations
Hit Papers
Peers
Comparison fields: 5 of 110
- Applied Mathematics 9.0k
- Numerical Analysis 4.8k
- Modeling and Simulation 3.3k
- Control and Systems Engineering 3.1k
- Geometry and Topology 1.2k
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 of co-authors of Allan Peterson
This figure shows the co-authorship network connecting the top 25 collaborators of Allan Peterson. A scholar is included among the top collaborators of Allan Peterson 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 Allan Peterson. Allan Peterson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 2 | |
| 2 | 10 | |
| 3 | 28 | |
| 4 | 5 | |
| 5 | SOME RELATIONS BETWEEN THE CAPUTO FRACTIONAL DIFFERENCE OPERATORS AND INTEGER-ORDER DIFFERENCES | 21 |
| 6 | ASYMPTOTIC BEHAVIOR OF n-TH ORDER SUBLINEAR DYNAMIC EQUATIONS ON TIME SCALES | 1 |
| 7 | Recent results concerning dynamic equations on time scales. | 3 |
| 8 | 102 | |
| 9 | 79 | |
| 10 | 3 | |
| 11 | Advances in Dynamic Equations on Time Scalesbreakdown → | 1692 |
| 12 | 18 | |
| 13 | 61 | |
| 14 | Discrete Linear Hamiltonian Systems: A Survey | 29 |
| 15 | 48 | |
| 16 | 4 | |
| 17 | 25 | |
| 18 | 8 | |
| 19 | 10 | |
| 20 | Distribution of zeros of solutions of linear differential equations of order four | 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) and Fractional Differential Equations Solutions (40 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 SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.
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.