Ian Knowles
Impact in
- Mathematical Physics top 2%
- Numerical methods in inverse problems
- Spectral Theory in Mathematical Physics
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- Advanced Mathematical Modeling in Engineering
- Matrix Theory and Algorithms
Papers in
-
- Spectral Theory in Mathematical Physics 19
- Numerical methods in inverse problems 13
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- Advanced Mathematical Modeling in Engineering 15
- Co-authors
- B. M. Brown (3 shared papers)Robert W. Wallace (2 shared papers)Aimin Yan (5 shared papers)Rudi Weikard (2 shared papers)Marco Marletta (1 shared paper)W. D. Evans (2 shared papers)W. N. Everitt (1 shared paper)Kazuhiro Ito (5 shared papers)
- Journals
- Proceedings of the Royal Society of Edinburgh Section A Mathematics (6 papers)Inverse Problems (4 papers)Journal of Computational and Applied Mathematics (4 papers)Proceedings of the American Mathematical Society (4 papers)Journal of Differential Equations (3 papers)
- Partner nations
- United StatesSouth AfricaUnited Kingdom
In The Last Decade
Ian Knowles
44 papers receiving 487 citations
Peers
Comparison fields: 5 of 77
- Mathematical Physics 344
- Computational Theory and Mathematics 188
- Applied Mathematics 122
- Numerical Analysis 40
- Statistical and Nonlinear Physics 64
Countries citing papers authored by Ian Knowles
This map shows the geographic impact of Ian Knowles'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 Ian Knowles with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ian Knowles more than expected).
Fields of papers citing papers by Ian Knowles
This network shows the impact of papers produced by Ian Knowles. 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 Ian Knowles. The network helps show where Ian Knowles may publish in the future.
Co-authors
The 25 scholars most cited alongside Ian Knowles, 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 48 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2001 | 51 | |
| 2 | 1995 | 38 | |
| 3 | 1998 | 31 | |
| 4 | 2003 | 30 | |
| 5 | 1981 | 29 | |
| 6 | 2018 | 28 | |
| 7 | 1999 | 27 | |
| 8 | 2005 | 27 | |
| 9 | 2003 | 22 | |
| 10 | 1986 | 21 | |
| 11 | 2016 | 17 | |
| 12 | 2004 | 16 | |
| 13 | 1977 | 15 | |
| 14 | 2004 | 15 | |
| 15 | 1994 | 13 | |
| 16 | 1979 | 10 | |
| 17 | 1987 | 10 | |
| 18 | 1978 | 10 | |
| 19 | 1980 | 10 | |
| 20 | 1985 | 9 |
About Ian Knowles
Ian Knowles is a scholar working on Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Statistical and Nonlinear Physics and Environmental Engineering, having authored 48 papers that have together received 547 indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (19 papers), Advanced Mathematical Modeling in Engineering (15 papers), Numerical methods in inverse problems (13 papers), Differential Equations and Boundary Problems (10 papers), Groundwater flow and contamination studies (6 papers), Seismic Imaging and Inversion Techniques (4 papers), Numerical methods for differential equations (3 papers) and Quantum chaos and dynamical systems (3 papers). The work is most often cited by research in Mathematical Physics (344 citations), Computational Theory and Mathematics (188 citations), Applied Mathematics (122 citations), Numerical Analysis (40 citations) and Statistical and Nonlinear Physics (64 citations). Ian Knowles has collaborated with scholars based in United States, South Africa and United Kingdom. Frequent co-authors include B. M. Brown, Robert W. Wallace, Aimin Yan, Rudi Weikard, Marco Marletta, W. D. Evans, W. N. Everitt, Kazuhiro Ito, Yoshimi Saitō and Garth Rapeport. Their work appears in journals such as Proceedings of the Royal Society of Edinburgh Section A Mathematics, Inverse Problems, Journal of Computational and Applied Mathematics, Proceedings of the American Mathematical Society and Journal of Differential Equations.
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.