Steve Abbott
Impact in
- Applied Mathematics top 2%
- Nonlinear Partial Differential Equations
- Navier-Stokes equation solutions
- Mathematical Physics top 5%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
Papers in
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- Particle accelerators and beam dynamics 6
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- Optimal Power Flow Distribution 4
- Co-authors
- Lawrence C. Evans (1 shared paper)Günter M. Ziegler (1 shared paper)Martin Aigner (1 shared paper)C. M. Lyneis (6 shared papers)M. Leitner (6 shared papers)D. John Morrow (6 shared papers)M. Galloway (2 shared papers)Louis Nirenberg (1 shared paper)
- Journals
- Review of Scientific Instruments (1 paper)Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms (1 paper)Physica Scripta (1 paper)Journal of Direct Data and Digital Marketing Practice (1 paper)The Mathematical Gazette (35 papers)
- Partner nations
- United StatesUnited KingdomIreland
In The Last Decade
Steve Abbott
41 papers receiving 1.3k citations
Steve Abbott's Hit Papers
Peers
Comparison fields: 5 of 120
- Applied Mathematics 371
- Mathematical Physics 278
- Numerical Analysis 132
- Computational Theory and Mathematics 368
- Modeling and Simulation 107
Countries citing papers authored by Steve Abbott
This map shows the geographic impact of Steve Abbott'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 Steve Abbott with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Steve Abbott more than expected).
Fields of papers citing papers by Steve Abbott
This network shows the impact of papers produced by Steve Abbott. 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 Steve Abbott. The network helps show where Steve Abbott may publish in the future.
Co-authors
The 25 scholars most cited alongside Steve Abbott, 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 49 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Partial Differential Equations Hit paper breakdown → | 1999 | 1070 |
| 2 | 2002 | 63 | |
| 3 | 2005 | 36 | |
| 4 | 1999 | 35 | |
| 5 | 2011 | 18 | |
| 6 | 2004 | 16 | |
| 7 | 1998 | 15 | |
| 8 | 1999 | 10 | |
| 9 | 2002 | 10 | |
| 10 | 2002 | 9 | |
| 11 | 1999 | 8 | |
| 12 | 2002 | 5 | |
| 13 | 2002 | 4 | |
| 14 | 2014 | 4 | |
| 15 | 2013 | 4 | |
| 16 | 1995 | 3 | |
| 17 | 1996 | 3 | |
| 18 | 1999 | 3 | |
| 19 | 2017 | 3 | |
| 20 | 1998 | 2 |
About Steve Abbott
Steve Abbott is a scholar working on Aerospace Engineering, Electrical and Electronic Engineering, Control and Systems Engineering, Geometry and Topology and Theoretical Computer Science, having authored 49 papers that have together received 1.3k indexed citations. Recurring topics across this work include Particle accelerators and beam dynamics (6 papers), History and Theory of Mathematics (4 papers), Microgrid Control and Optimization (4 papers), Superconducting Materials and Applications (4 papers), Optimal Power Flow Distribution (4 papers), Mathematics and Applications (3 papers), Magnetic confinement fusion research (3 papers) and Mathematical Dynamics and Fractals (2 papers). The work is most often cited by research in Applied Mathematics (371 citations), Mathematical Physics (278 citations), Numerical Analysis (132 citations), Computational Theory and Mathematics (368 citations) and Modeling and Simulation (107 citations). Steve Abbott has collaborated with scholars based in United States, United Kingdom and Ireland. Frequent co-authors include Lawrence C. Evans, Günter M. Ziegler, Martin Aigner, C. M. Lyneis, M. Leitner, D. John Morrow, M. Galloway, Louis Nirenberg, Tian-Xiao He and David W. Collins. Their work appears in journals such as Review of Scientific Instruments, Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms, Physica Scripta, Journal of Direct Data and Digital Marketing Practice and The Mathematical Gazette.
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.