W. A. Coppel

3.0k total citations · 1 hit paper
42 papers, 2.1k citations indexed

About

W. A. Coppel is a scholar working on Numerical Analysis, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, W. A. Coppel has authored 42 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Numerical Analysis, 11 papers in Geometry and Topology and 11 papers in Computational Theory and Mathematics. Recurrent topics in W. A. Coppel's work include Advanced Differential Equations and Dynamical Systems (9 papers), Numerical methods for differential equations (7 papers) and Mathematical Dynamics and Fractals (6 papers). W. A. Coppel is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (9 papers), Numerical methods for differential equations (7 papers) and Mathematical Dynamics and Fractals (6 papers). W. A. Coppel collaborates with scholars based in Australia, United Kingdom and Canada. W. A. Coppel's co-authors include Lubomir Gavrilov, K. W. Chang, Louis Block, Kenneth J. Palmer, Brian D. O. Anderson and D. C. Peaslee and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

W. A. Coppel

39 papers receiving 1.7k citations

Hit Papers

align trajectories

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
W. A. Coppel Australia	19	645	634	579	571	519	42	2.1k
Solomon Lefschetz United States	12	504 0.8×	469 0.7×	341 0.6×	246 0.4×	252 0.5×	39	1.8k
C. Corduneanu United States	16	707 1.1×	158 0.2×	288 0.5×	1.3k 2.3×	625 1.2×	43	2.2k
R. D. Driver United States	17	491 0.8×	295 0.5×	107 0.2×	708 1.2×	770 1.5×	26	1.8k
Yuncheng You United States	15	912 1.4×	808 1.3×	212 0.4×	330 0.6×	158 0.3×	68	2.0k
П. П. Забрейко Belarus	11	361 0.6×	134 0.2×	296 0.5×	898 1.6×	518 1.0×	63	1.7k
A. C. Lazer United States	35	638 1.0×	332 0.5×	573 1.0×	2.9k 5.0×	1.2k 2.2×	92	4.2k
Luís Barreira Portugal	25	1.1k 1.7×	1.3k 2.0×	607 1.0×	771 1.4×	298 0.6×	238	3.1k
E. H. Rothe United States	10	310 0.5×	183 0.3×	319 0.6×	1.2k 2.1×	542 1.0×	22	2.2k
Clàudìa Valls Portugal	22	956 1.5×	1.4k 2.1×	1.4k 2.3×	668 1.2×	342 0.7×	477	2.7k
Charles Pugh United States	22	276 0.4×	1.5k 2.4×	1.2k 2.2×	408 0.7×	103 0.2×	59	2.8k

Countries citing papers authored by W. A. Coppel

Since Specialization

Citations

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

Fields of papers citing papers by W. A. Coppel

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by W. A. Coppel. 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 W. A. Coppel. The network helps show where W. A. Coppel may publish in the future.

Co-authorship network of co-authors of W. A. Coppel

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

All Works

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20 of 20 papers shown

1.

Coppel, W. A.. (2006). Number theory : an introduction to mathematics. Pt. B.

2.

Coppel, W. A.. (1998). Foundations of Convex Geometry. 27 indexed citations

3.

Coppel, W. A.. (1993). Axioms for convexity. Bulletin of the Australian Mathematical Society. 47(2). 179–197. 12 indexed citations

4.

Coppel, W. A.. (1991). A new class of quadratic systems. Journal of Differential Equations. 92(2). 360–372. 25 indexed citations

5.

Coppel, W. A.. (1988). Quadratic systems with a degenerate critical point. Bulletin of the Australian Mathematical Society. 38(1). 1–10. 20 indexed citations

6.

Coppel, W. A.. (1986). A simple class of quadratic systems. Journal of Differential Equations. 64(3). 275–282. 7 indexed citations

7.

Coppel, W. A.. (1984). Dichotomies and Lyapunov functions. Journal of Differential Equations. 52(1). 58–65. 14 indexed citations

8.

Coppel, W. A.. (1981). Linear systems: some algebraic aspects. Linear Algebra and its Applications. 40. 257–273. 6 indexed citations

9.

Coppel, W. A.. (1977). Ordinary differential equations. Journal of the Australian Mathematical Society. 24(1). 1–9. 16 indexed citations

10.

Coppel, W. A. & Kenneth J. Palmer. (1970). Averaging and integral manifolds. Bulletin of the Australian Mathematical Society. 2(2). 197–222. 15 indexed citations

11.

Coppel, W. A.. (1968). Dichotomies and reducibility (II). Journal of Differential Equations. 4(3). 386–398. 17 indexed citations

12.

Coppel, W. A.. (1967). Dichotomies and reducibility. Journal of Differential Equations. 3(4). 500–521. 123 indexed citations

13.

Coppel, W. A.. (1966). A survey of quadratic systems. Journal of Differential Equations. 2(3). 293–304. 186 indexed citations

14.

Coppel, W. A.. (1965). Comparison theorems for canonical systems of differential equations. Journal of Mathematical Analysis and Applications. 12(2). 306–315. 9 indexed citations

15.

Coppel, W. A., et al.. (1965). On the stability of linear canonical systems with periodic coefficients. Journal of the Australian Mathematical Society. 5(2). 169–195. 19 indexed citations

16.

Coppel, W. A.. (1964). On the uniqueness of limit cycles.. Bollettino Della Unione Matematica Italiana. 19(4). 441–445. 2 indexed citations

17.

Coppel, W. A.. (1964). On the Stability of Ordinary Differential Equations. Journal of the London Mathematical Society. s1-39(1). 255–260. 28 indexed citations

18.

Coppel, W. A.. (1961). Note on an equation of boundary-layer theory. Mathematical Proceedings of the Cambridge Philosophical Society. 57(3). 696–696. 2 indexed citations

19.

Coppel, W. A.. (1960). On a differential equation of boundary-layer theory. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 253(1023). 101–136. 115 indexed citations

20.

Coppel, W. A.. (1959). ON THE EQUATION OF A SYNCHRONOUS MOTOR. The Quarterly Journal of Mechanics and Applied Mathematics. 12(2). 242–256. 4 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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