P.J. Prince

5.1k total citations · 1 hit paper
19 papers, 3.6k citations indexed

About

P.J. Prince is a scholar working on Numerical Analysis, Electrical and Electronic Engineering and Computational Mechanics. According to data from OpenAlex, P.J. Prince has authored 19 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 9 papers in Electrical and Electronic Engineering and 6 papers in Computational Mechanics. Recurrent topics in P.J. Prince's work include Numerical methods for differential equations (15 papers), Electromagnetic Simulation and Numerical Methods (9 papers) and Advanced Numerical Methods in Computational Mathematics (6 papers). P.J. Prince is often cited by papers focused on Numerical methods for differential equations (15 papers), Electromagnetic Simulation and Numerical Methods (9 papers) and Advanced Numerical Methods in Computational Mathematics (6 papers). P.J. Prince collaborates with scholars based in United Kingdom, Canada and United States. P.J. Prince's co-authors include John R. Dormand, Moawwad El-Mikkawy and I. Gladwell and has published in prestigious journals such as Computers & Mathematics with Applications, Journal of Computational and Applied Mathematics and ACM Transactions on Mathematical Software.

In The Last Decade

P.J. Prince

17 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
P.J. Prince United Kingdom 13 1.3k 898 735 528 517 19 3.6k
John R. Dormand United Kingdom 13 1.3k 1.0× 904 1.0× 735 1.0× 535 1.0× 516 1.0× 27 3.7k
J. Douglas Faires United States 5 826 0.6× 802 0.9× 677 0.9× 387 0.7× 630 1.2× 8 5.3k
Carl-Erik Fröberg Sweden 8 1.0k 0.8× 784 0.9× 596 0.8× 471 0.9× 903 1.7× 27 4.8k
K. W. Morton United Kingdom 28 1.2k 0.9× 2.4k 2.7× 511 0.7× 347 0.7× 545 1.1× 79 5.2k
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
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
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
A.C. Hindmarsh United States 24 1.2k 0.9× 2.2k 2.5× 794 1.1× 430 0.8× 859 1.7× 55 7.4k
T. A. Zang United States 18 957 0.7× 2.2k 2.4× 282 0.4× 397 0.8× 346 0.7× 43 4.1k
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 P.J. Prince

Since Specialization
Citations

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

Fields of papers citing papers by P.J. Prince

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P.J. Prince. 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 P.J. Prince. The network helps show where P.J. Prince may publish in the future.

Co-authorship network of co-authors of P.J. Prince

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

All Works

19 of 19 papers shown
1.
Prince, P.J.. (2020). Professional Notes: Social Justice Matters. Music Educators Journal. 106(3). 14–15.
2.
Prince, P.J.. (2009). Co -creating Cinderella: Examining and documenting a collaboratory musical theatre process. 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). Continuous approximation with embedded Runge-Kutta methods. Applied Numerical Mathematics. 22(1-3). 51–62. 13 indexed citations
5.
Dormand, John R., et al.. (1989). Global error estimation with runge-kutta triples. Computers & Mathematics with Applications. 18(9). 835–846. 37 indexed citations
6.
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
7.
Gladwell, I., et al.. (1989). Algorithm 670: a Runge-Kutta-Nyström code. ACM Transactions on Mathematical Software. 15(1). 31–40. 39 indexed citations
8.
Dormand, John R. & P.J. Prince. (1987). Runge-Kutta-Nystrom triples. Computers & Mathematics with Applications. 13(12). 937–949. 34 indexed citations
9.
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
10.
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
11.
Dormand, John R. & P.J. Prince. (1986). Runge-Kutta triples. Computers & Mathematics with Applications. 12(9). 1007–1017. 58 indexed citations
12.
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
13.
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
14.
Dormand, John R., et al.. (1984). Global Error Estimation with Runge--Kutta Methods. IMA Journal of Numerical Analysis. 4(2). 169–184. 24 indexed citations
15.
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
16.
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 →
17.
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
18.
Prince, P.J., et al.. (1978). Runge-Kutta Processes with Exact Principal Error Equations. IMA Journal of Applied Mathematics. 21(3). 363–373. 3 indexed citations
19.
Prince, P.J.. (1975). Algorithm 498: Airy Functions Using Chebyshev Series Approximations. ACM Transactions on Mathematical Software. 1(4). 372–379. 10 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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