John R. Dormand

5.2k total citations · 1 hit paper
27 papers, 3.7k citations indexed

About

John R. Dormand is a scholar working on Numerical Analysis, Electrical and Electronic Engineering and Computational Mechanics. According to data from OpenAlex, John R. Dormand has authored 27 papers receiving a total of 3.7k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Numerical Analysis, 10 papers in Electrical and Electronic Engineering and 9 papers in Computational Mechanics. Recurrent topics in John R. Dormand's work include Numerical methods for differential equations (17 papers), Electromagnetic Simulation and Numerical Methods (10 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). John R. Dormand is often cited by papers focused on Numerical methods for differential equations (17 papers), Electromagnetic Simulation and Numerical Methods (10 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). John R. Dormand collaborates with scholars based in United Kingdom, Canada and United States. John R. Dormand's co-authors include P.J. Prince, Moawwad El-Mikkawy, M. M. Woolfson, I. Gladwell, M.H.B.M. Shariff and Alan Gadian and has published in prestigious journals such as Monthly Notices of the Royal Astronomical Society, Computers & Mathematics with Applications and Atmospheric Research.

In The Last Decade

John R. Dormand

27 papers receiving 3.4k citations

Hit Papers

A family of embedded Runge-Kutta formulae 1980 2026 1995 2010 1980 500 1000 1.5k 2.0k
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. A family of embedded Runge-Kutta formulae
    1980 2.4k citations John R. Dormand, P.J. Prince Journal of Computational and Applied Mathematics 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. Dormand United Kingdom 13 1.3k 904 735 535 516 27 3.7k
P.J. Prince United Kingdom 13 1.3k 1.0× 898 1.0× 735 1.0× 528 1.0× 517 1.0× 19 3.6k
Carl-Erik Fröberg Sweden 8 1.0k 0.8× 784 0.9× 596 0.8× 471 0.9× 903 1.8× 27 4.8k
K. W. Morton United Kingdom 28 1.2k 0.9× 2.4k 2.7× 511 0.7× 347 0.6× 545 1.1× 79 5.2k
J. Douglas Faires United States 5 826 0.6× 802 0.9× 677 0.9× 387 0.7× 630 1.2× 8 5.3k
Peter N. Brown United States 20 1.2k 0.9× 1.9k 2.1× 518 0.7× 310 0.6× 1.2k 2.2× 37 5.6k
A.C. Hindmarsh United States 24 1.2k 0.9× 2.2k 2.4× 794 1.1× 430 0.8× 859 1.7× 55 7.4k
J. R. Cash United Kingdom 29 1.9k 1.4× 1.2k 1.3× 941 1.3× 308 0.6× 635 1.2× 105 3.0k
T. A. Zang United States 18 957 0.7× 2.2k 2.4× 282 0.4× 397 0.7× 346 0.7× 43 4.1k
Eugene Isaacson United States 14 1.1k 0.8× 1.5k 1.7× 453 0.6× 286 0.5× 818 1.6× 26 4.4k
Philip Rabinowitz Israel 18 1.4k 1.1× 810 0.9× 612 0.8× 304 0.6× 880 1.7× 62 5.1k

Countries citing papers authored by John R. Dormand

Since Specialization
Citations

This map shows the geographic impact of John R. Dormand'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. Dormand 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. Dormand more than expected).

Fields of papers citing papers by John R. Dormand

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

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

This figure shows the co-authorship network connecting the top 25 collaborators of John R. Dormand. A scholar is included among the top collaborators of John R. Dormand 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. Dormand. John R. Dormand 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.
Shariff, M.H.B.M. & John R. Dormand. (2003). A modified augmented Lagrangian method for a class of constrained problems. Journal of Computational and Applied Mathematics. 151(2). 257–270. 3 indexed citations
2.
Dormand, John R., et al.. (2000). Efficient variable stiffness methods for cooling of hot-rolled steel sections. Computers & Mathematics with Applications. 40(4-5). 453–470. 1 indexed citations
3.
Dormand, John R., et al.. (1999). Continuous approximation with embedded Runge-Kutta-Nyström methods. Applied Numerical Mathematics. 29(2). 171–188. 3 indexed citations
4.
Dormand, John R., et al.. (1996). The simulated cooling of the hot-rolled structural steel sections. Computers & Mathematics with Applications. 31(8). 37–47. 3 indexed citations
5.
Dormand, John R., et al.. (1996). Continuous approximation with embedded Runge-Kutta methods. Applied Numerical Mathematics. 22(1-3). 51–62. 13 indexed citations
6.
Dormand, John R., et al.. (1992). Estimates of Venusian atmospheric torque. Earth Moon and Planets. 57(1). 1–11. 3 indexed citations
7.
Dormand, John R., et al.. (1989). Global error estimation with runge-kutta triples. Computers & Mathematics with Applications. 18(9). 835–846. 37 indexed citations
8.
Dormand, John R. & P.J. Prince. (1989). Practical Runge–Kutta Processes. SIAM Journal on Scientific and Statistical Computing. 10(5). 977–989. 43 indexed citations
9.
Gadian, Alan, et al.. (1989). Smooth-particle hydrodynamics as applied to 2-D plume convection. Atmospheric Research. 24(1-4). 287–304. 4 indexed citations
10.
Dormand, John R. & P.J. Prince. (1987). Runge-Kutta-Nystrom triples. Computers & Mathematics with Applications. 13(12). 937–949. 34 indexed citations
11.
Dormand, John R., Moawwad El-Mikkawy, & P.J. Prince. (1987). Families of Runge-Kutta-Nystrom Formulae. IMA Journal of Numerical Analysis. 7(2). 235–250. 253 indexed citations
12.
Dormand, John R., Moawwad El-Mikkawy, & P.J. Prince. (1987). High-Order Embedded Runge-Kutta-Nystrom Formulae. IMA Journal of Numerical Analysis. 7(4). 423–430. 145 indexed citations
13.
Dormand, John R. & P.J. Prince. (1986). Runge-Kutta triples. Computers & Mathematics with Applications. 12(9). 1007–1017. 58 indexed citations
14.
Dormand, John R. & P.J. Prince. (1986). A reconsideration of some embedded Runge—Kutta formulae. Journal of Computational and Applied Mathematics. 15(2). 203–211. 81 indexed citations
15.
Dormand, John R. & P.J. Prince. (1985). Global Error Estimation with Runge—Kutta Methods II. IMA Journal of Numerical Analysis. 5(4). 481–497. 11 indexed citations
16.
Prince, P.J. & John R. Dormand. (1981). High order embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics. 7(1). 67–75. 369 indexed citations
17.
Dormand, John R. & P.J. Prince. (1980). A family of embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics. 6(1). 19–26. 2443 indexed citations breakdown →
18.
Dormand, John R. & P.J. Prince. (1978). New Runge-Kutta algorithms for numerical simulation in dynamical astronomy. Celestial Mechanics and Dynamical Astronomy. 18(3). 223–232. 76 indexed citations
19.
Dormand, John R. & M. M. Woolfson. (1974). The evolution of planetary orbits. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 340(1622). 349–365. 5 indexed citations
20.
Dormand, John R. & M. M. Woolfson. (1971). The Capture Theory and Planetary Condensation. Monthly Notices of the Royal Astronomical Society. 151(3). 307–331. 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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