Steve Smale

53 papers receiving 6.6k citations

Hit Papers

Learning Theory Estimates via Integral Operators and Their Approximations 2007 · 351 citations
35119892026200120132505007501000

Peers

Steve Smale
Comparison fields: 5 of 156
  • Numerical Analysis 819
  • Computational Mathematics 79
  • Computational Theory and Mathematics 2.0k
  • Mathematical Physics 1.1k
  • Geometry and Topology 915
Replace Felipe Cucker with:
Felipe Cucker Hong Kong
Ulf Grenander United States
Felix R. Gantmacher United States
Adrian S. Lewis United States
Robert M. Corless Canada
Carl D. Meyer United States
Richard S. Varga United States
Desmond J. Higham United Kingdom
Eberhard Zeidler Germany
Josef Stoer Germany
Steve Smale relative to Felipe Cucker Hong Kong Felipe Cucker's profile →
Citations per field
00.5×3.8×
Felipe Cucker · 1×
Citations per year

Countries citing papers authored by Steve Smale

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network

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.

Border = papers with Steve Smale Line = papers co-authored together Steve Smale links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 201814
2 20178
3 201114
4 20091
5 2009100
6 200948
7 2005137
8 200597
9 2002175
10 19984
11 1998402
12 199533
13 1993154
14 199340
15 199156
16
On a Theory of Computation over the Real Numbers; NP Completeness, Recursive Functions and Universal Machines (Extended Abstract)
19884
17 198792
18 198617
19 197914
20 1976251

About Steve Smale

Steve Smale is a scholar working on Theoretical Computer Science, Computational Mathematics, Mathematical Physics, Computational Theory and Mathematics and Geometry and Topology, having authored 54 papers that have together received 7.3k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (7 papers), Computability, Logic, AI Algorithms (6 papers), Polynomial and algebraic computation (5 papers), Neural Networks and Applications (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 (819 citations), Computational Mathematics (79 citations), Computational Theory and Mathematics (2.0k citations), Mathematical Physics (1.1k citations) and Geometry and Topology (915 citations). Steve Smale has collaborated with scholars based in United States, Hong Kong and Spain. Frequent co-authors include Felipe Cucker, Ding‐Xuan Zhou, Michael Shub, Lenore Blum, M. Shub, Yuan Yao, Hà Quang Minh, Indika Rajapakse, Laurent Bartholdi and Thomas Schick. Their work appears in journals such as Bulletin of the American Mathematical Society, Journal of Complexity, Foundations of Computational Mathematics, Analysis and Applications and Journal of the American Mathematical Society.

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.

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