Steve Smale
Impact in
- Numerical Analysis top 0.5%
- Advanced Optimization Algorithms Research
- Computational Mathematics top 1%
Papers in
-
- Computability, Logic, AI Algorithms 6
- Polynomial and algebraic computation 5
- Topological and Geometric Data Analysis 4
- Numerical Methods and Algorithms 4
-
- Mathematical Dynamics and Fractals 8
- Numerical methods in inverse problems 4
- Co-authors
- Felipe Cucker (9 shared papers)Ding‐Xuan Zhou (9 shared papers)Michael Shub (8 shared papers)Lenore Blum (4 shared papers)M. Shub (4 shared papers)Yuan Yao (1 shared paper)Hà Quang Minh (1 shared paper)Indika Rajapakse (2 shared papers)
- Journals
- Bulletin of the American Mathematical Society (5 papers)Journal of Complexity (4 papers)Analysis and Applications (3 papers)Foundations of Computational Mathematics (3 papers)Constructive Approximation (2 papers)
- Partner nations
- United StatesHong KongGermany
In The Last Decade
Steve Smale
54 papers receiving 6.7k citations
Steve Smale's Hit Papers
Peers
Comparison fields: 5 of 154
- Numerical Analysis 822
- Computational Mathematics 80
- Computational Theory and Mathematics 2.0k
- Mathematical Physics 1.1k
- Geometry and Topology 929
Countries citing papers authored by Steve Smale
This map shows the geographic impact of Steve Smale'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 Smale with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Steve Smale more than expected).
Fields of papers citing papers by Steve Smale
This network shows the impact of papers produced by Steve Smale. 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 Smale. The network helps show where Steve Smale may publish in the future.
Co-authors
The 25 scholars most cited alongside Steve Smale, 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 55 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Emergent Behavior in Flocks Hit paper breakdown → | 2007 | 1136 |
| 2 | On the mathematical foundations of learning Hit paper breakdown → | 2001 | 933 |
| 3 | Mathematical problems for the next century Hit paper breakdown → | 1998 | 655 |
| 4 | On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines Hit paper breakdown → | 1989 | 547 |
| 5 | 1998 | 401 | |
| 6 | Learning Theory Estimates via Integral Operators and Their Approximations Hit paper breakdown → | 2007 | 354 |
| 7 | 2007 | 299 | |
| 8 | 1976 | 253 | |
| 9 | 1981 | 231 | |
| 10 | 2005 | 213 | |
| 11 | 1985 | 194 | |
| 12 | 2002 | 175 | |
| 13 | 2003 | 172 | |
| 14 | 2004 | 165 | |
| 15 | 1993 | 157 | |
| 16 | 1993 | 142 | |
| 17 | 2005 | 137 | |
| 18 | 1983 | 116 | |
| 19 | 2009 | 100 | |
| 20 | 2005 | 98 |
About Steve Smale
Steve Smale is a scholar working on Computational Theory and Mathematics, Mathematical Physics, Geometry and Topology, Artificial Intelligence and Applied Mathematics, having authored 55 papers that have together received 7.4k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (8 papers), Computability, Logic, AI Algorithms (6 papers), Neural Networks and Applications (5 papers), Polynomial and algebraic computation (5 papers), Mathematical Analysis and Transform Methods (5 papers), Numerical methods in inverse problems (4 papers), Topological and Geometric Data Analysis (4 papers) and Numerical Methods and Algorithms (4 papers). The work is most often cited by research in Numerical Analysis (822 citations), Computational Mathematics (80 citations), Computational Theory and Mathematics (2.0k citations), Mathematical Physics (1.1k citations) and Geometry and Topology (929 citations). Steve Smale has collaborated with scholars based in United States, Hong Kong and Germany. Frequent co-authors include Felipe Cucker, Ding‐Xuan Zhou, Michael Shub, Lenore Blum, M. Shub, Yuan Yao, Hà Quang Minh, Indika Rajapakse, Thomas Schick and Laurent Bartholdi. Their work appears in journals such as Bulletin of the American Mathematical Society, Journal of Complexity, Analysis and Applications, Foundations of Computational Mathematics and Constructive Approximation.
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.