John R. Cannon

7.2k total citations · 1 hit paper
161 papers, 5.3k citations indexed

About

John R. Cannon is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, John R. Cannon has authored 161 papers receiving a total of 5.3k indexed citations (citations by other indexed papers that have themselves been cited), including 63 papers in Computational Theory and Mathematics, 58 papers in Applied Mathematics and 56 papers in Mathematical Physics. Recurrent topics in John R. Cannon's work include Advanced Mathematical Modeling in Engineering (60 papers), Numerical methods in inverse problems (49 papers) and Differential Equations and Boundary Problems (47 papers). John R. Cannon is often cited by papers focused on Advanced Mathematical Modeling in Engineering (60 papers), Numerical methods in inverse problems (49 papers) and Differential Equations and Boundary Problems (47 papers). John R. Cannon collaborates with scholars based in United States, Canada and Australia. John R. Cannon's co-authors include Felix E. Browder, Paul DuChateau, Yanping Lin, Yanping Lin, Hong‐Ming Yin, John van der Hoek, C. Denson Hill, Shingmin Wang, Yuan Lin and K. Vajravelu and has published in prestigious journals such as Journal of Geophysical Research Atmospheres, IEEE Transactions on Automatic Control and Journal of Consulting and Clinical Psychology.

In The Last Decade

John R. Cannon

154 papers receiving 4.6k citations

Hit Papers

The One-Dimensional Heat Equation 1984 2026 1998 2012 1984 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. The One-Dimensional Heat Equation
    1984 714 citations John R. Cannon et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
John R. Cannon United States 37 2.7k 2.2k 1.7k 1.5k 1.2k 161 5.3k
David Kinderlehrer United States 33 992 0.4× 2.1k 1.0× 3.2k 1.8× 789 0.5× 1.2k 1.0× 117 6.6k
Ivar Ekeland France 35 1.6k 0.6× 3.2k 1.5× 3.3k 1.9× 858 0.6× 353 0.3× 130 7.4k
Masahiro Yamamoto Japan 46 5.6k 2.1× 2.0k 0.9× 2.9k 1.7× 1.5k 1.0× 2.4k 2.0× 278 8.0k
John Toland United Kingdom 32 1.3k 0.5× 2.2k 1.0× 1.9k 1.1× 1.4k 1.0× 120 0.1× 119 5.7k
John S. Maybee United States 17 932 0.4× 1.4k 0.6× 1.5k 0.9× 552 0.4× 150 0.1× 67 3.3k
W.F. Ames United States 28 355 0.1× 449 0.2× 468 0.3× 604 0.4× 475 0.4× 137 4.4k
Xinfu Chen United States 41 764 0.3× 1.4k 0.7× 1.3k 0.8× 546 0.4× 78 0.1× 199 5.4k
Alain Miranville France 35 497 0.2× 961 0.4× 2.6k 1.5× 338 0.2× 403 0.3× 231 4.3k
Richard K. Miller United States 32 291 0.1× 710 0.3× 432 0.2× 651 0.4× 375 0.3× 193 4.2k
Xiao‐Jun Yang China 58 643 0.2× 2.4k 1.1× 181 0.1× 3.2k 2.1× 1.7k 1.4× 323 10.3k

Countries citing papers authored by John R. Cannon

Since Specialization
Citations

This map shows the geographic impact of John R. Cannon'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 John R. Cannon with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites John R. Cannon more than expected).

Fields of papers citing papers by John R. Cannon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John R. Cannon. 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 John R. Cannon. The network helps show where John R. Cannon may publish in the future.

Co-authorship network of co-authors of John R. Cannon

This figure shows the co-authorship network connecting the top 25 collaborators of John R. Cannon. A scholar is included among the top collaborators of John R. Cannon 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 John R. Cannon. John R. Cannon is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Cannon, John R. & Bhimsen K. Shivamoggi. (2006). Mathematical and physical theory of turbulence. CERN Document Server (European Organization for Nuclear Research). 6 indexed citations
2.
Bosma, Wieb & John R. Cannon. (2006). Discovering Mathematics with Magma, Reducing the abstract to the concrete. CERN Document Server (European Organization for Nuclear Research). 9 indexed citations
3.
Cannon, John R.. (2000). EJSE Editorial: Professional Development In Nevada: The Traveling Science Boxes of the Desert Research Institute. The Electronic Journal of Science Education. 5(2). 1 indexed citations
4.
Vajravelu, K., John R. Cannon, & David Rollins. (2000). Analytical and Numerical Solutions of Nonlinear Differential Equations Arising in Non-Newtonian Fluid Flows. Journal of Mathematical Analysis and Applications. 250(1). 204–221. 6 indexed citations
5.
Cannon, John R.. (1999). Influence of an Extended Elementary Science Teaching Practicum Experience Upon Preservice Elementary Teachers' Science Self-Efficacy.. Science educator. 8(1). 30–35. 17 indexed citations
6.
Cannon, John R.. (1997). The Constructivist Learning Environment Survey May Help Halt Student Exodus from College Science Courses.. The journal of college science teaching. 27(1). 67–71. 7 indexed citations
7.
Cannon, John R. & Yanping Lin. (1990). An inverse problem of finding a parameter in a semi-linear heat equation. Journal of Mathematical Analysis and Applications. 145(2). 470–484. 120 indexed citations
8.
Cannon, John R., et al.. (1990). Some stability estimates for a heat source in terms of overspecified data in the 3-D heat equation. Journal of Mathematical Analysis and Applications. 147(2). 363–371. 6 indexed citations
9.
Cannon, John R., et al.. (1989). Smooth solutions for an integro-differential equation of parabolic type. Differential and Integral Equations. 2(1). 8 indexed citations
10.
Cannon, John R. & William Rundell. (1987). An inverse problem for an elliptic partial differential equation. Journal of Mathematical Analysis and Applications. 126(2). 329–340. 15 indexed citations
11.
Cannon, John R. & John van der Hoek. (1982). The one phase Stefan problem subject to the specification of energy. Journal of Mathematical Analysis and Applications. 86(1). 281–291. 35 indexed citations
12.
Cannon, John R. & Paul DuChateau. (1981). Weak solutionsu(x, t) to parabolic partial differential equations with coefficients that depend uponu(yl, σ, (t, u(x, t))), 1 = 1, … k. Journal of Differential Equations. 42(3). 438–446. 1 indexed citations
13.
Cannon, John R. & Paul DuChateau. (1979). Some asymptotic boundary behavior of solutions of non-linear parabolic initial-boundary value problems. Journal of Mathematical Analysis and Applications. 68(2). 536–547. 6 indexed citations
14.
Cannon, John R. & Mario Primicerio. (1971). Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. Journal of Mathematical Analysis and Applications. 35(2). 361–373. 37 indexed citations
15.
Cannon, John R. & Richard E. Klein. (1970). Optimal selection of measurement locations in a conductor for approximate determination of temperature distributions. IEEE Transactions on Automatic Control. 8(8). 750–756. 3 indexed citations
16.
Cannon, John R. & C. Denson Hill. (1968). On the infinite differentiability of the free boundary in a Stefan problem. Journal of Mathematical Analysis and Applications. 22(2). 385–397. 12 indexed citations
17.
Cannon, John R. & Jim Douglas. (1967). The stability of the boundary in a Stefan problem. French digital mathematics library (Numdam). 21(1). 83–91. 15 indexed citations
18.
Cannon, John R.. (1967). Determination of the unknown coefficient k(u) in the equation ∇ · k(u) ∇u = 0 from overspecified boundary data. Journal of Mathematical Analysis and Applications. 18(1). 112–114. 22 indexed citations
19.
Cannon, John R.. (1965). Regularity at the boundary for solutions of linear parabolic differential equations. French digital mathematics library (Numdam). 3 indexed citations
20.
Nettleton, L. L. & John R. Cannon. (1962). Investigation of upward continuation systems. Geophysics. 27(6). 796–806. 6 indexed citations

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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