William J. Gilbert

825 total citations
23 papers, 424 citations indexed

About

William J. Gilbert is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, William J. Gilbert has authored 23 papers receiving a total of 424 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Computational Theory and Mathematics, 9 papers in Mathematical Physics and 5 papers in Numerical Analysis. Recurrent topics in William J. Gilbert's work include Iterative Methods for Nonlinear Equations (5 papers), Mathematical and Theoretical Analysis (5 papers) and Computability, Logic, AI Algorithms (4 papers). William J. Gilbert is often cited by papers focused on Iterative Methods for Nonlinear Equations (5 papers), Mathematical and Theoretical Analysis (5 papers) and Computability, Logic, AI Algorithms (4 papers). William J. Gilbert collaborates with scholars based in Canada, United States and Germany. William J. Gilbert's co-authors include Edward R. Vrscay, W. K. Nicholson, Jeffrey Shallit, John Shutske and Jean‐Paul Allouche and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, American Mathematical Monthly and Computers & Mathematics with Applications.

In The Last Decade

William J. Gilbert

21 papers receiving 370 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William J. Gilbert Canada 13 189 167 163 59 49 23 424
Daniel Waterman United States 14 153 0.8× 119 0.7× 285 1.7× 36 0.6× 146 3.0× 68 780
I. P. Natanson 5 80 0.4× 121 0.7× 70 0.4× 47 0.8× 36 0.7× 8 366
Zhongyun Liu China 10 213 1.1× 119 0.7× 22 0.1× 26 0.4× 39 0.8× 49 337
A. Melman United States 11 218 1.2× 146 0.9× 23 0.1× 59 1.0× 52 1.1× 52 344
Victor Kozyakin Russia 12 154 0.8× 41 0.2× 118 0.7× 16 0.3× 59 1.2× 62 414
Bálint Farkas Germany 10 92 0.5× 51 0.3× 176 1.1× 29 0.5× 42 0.9× 38 384
Arthur G. Werschulz United States 10 137 0.7× 171 1.0× 70 0.4× 111 1.9× 8 0.2× 61 339
Hillel Gauchman United States 10 48 0.3× 61 0.4× 35 0.2× 103 1.7× 95 1.9× 27 493
Mamta Rani India 13 122 0.6× 61 0.4× 337 2.1× 25 0.4× 107 2.2× 60 554

Countries citing papers authored by William J. Gilbert

Since Specialization
Citations

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

Fields of papers citing papers by William J. Gilbert

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of William J. Gilbert

This figure shows the co-authorship network connecting the top 25 collaborators of William J. Gilbert. A scholar is included among the top collaborators of William J. Gilbert 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 William J. Gilbert. William J. Gilbert 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.
Gilbert, William J. & W. K. Nicholson. (2003). Modern Algebra with Applications. 29 indexed citations
2.
Gilbert, William J.. (2001). GENERALIZATIONS OF NEWTON'S METHOD. Fractals. 9(3). 251–262. 20 indexed citations
3.
Allouche, Jean‐Paul, et al.. (1997). Automatic maps in exotic numeration systems. Theory of Computing Systems. 30(3). 285–331. 15 indexed citations
4.
Gilbert, William J.. (1996). The Division Algorithm in Complex Bases. Canadian Mathematical Bulletin. 39(1). 47–54. 4 indexed citations
5.
Gilbert, William J.. (1994). Chaos and graphicsNewton's method for multiple roots. Computers & Graphics. 18(2). 12 indexed citations
6.
Gilbert, William J.. (1993). Bricklaying and the Hermite Normal Form. American Mathematical Monthly. 100(3). 242–245. 1 indexed citations
7.
Gilbert, William J.. (1993). Bricklaying and the Hermite Normal Form. American Mathematical Monthly. 100(3). 242–242. 1 indexed citations
8.
Gilbert, William J.. (1991). The complex dynamics of Newton's method for a double root. Computers & Mathematics with Applications. 22(10). 115–119. 21 indexed citations
9.
Vrscay, Edward R. & William J. Gilbert. (1987). Extraneous fixed points, basin boundaries and chaotic dynamics for Schr�der and K�nig rational iteration functions. Numerische Mathematik. 52(1). 1–16. 116 indexed citations
10.
Gilbert, William J.. (1986). The Fractal Dimension of Sets Derived from Complex Bases. Canadian Mathematical Bulletin. 29(4). 495–500. 15 indexed citations
11.
Gilbert, William J.. (1984). Arithmetic in Complex Bases. Mathematics Magazine. 57(2). 77–77. 4 indexed citations
12.
Gilbert, William J.. (1984). Arithmetic in Complex Bases. Mathematics Magazine. 57(2). 77–81. 7 indexed citations
13.
Gilbert, William J.. (1984). A cube-filling Hilbert Curve. The Mathematical Intelligencer. 6(3). 78–79. 13 indexed citations
14.
Gilbert, William J.. (1982). Fractal geometry derived from complex bases. The Mathematical Intelligencer. 4(2). 78–86. 35 indexed citations
15.
Gilbert, William J.. (1982). Complex Numbers with Three Radix Expansions. Canadian Journal of Mathematics. 34(6). 1335–1348. 21 indexed citations
16.
Gilbert, William J.. (1981). Radix representations of quadratic fields. Journal of Mathematical Analysis and Applications. 83(1). 264–274. 62 indexed citations
17.
Gilbert, William J., et al.. (1979). Negative Based Number Systems. Mathematics Magazine. 52(4). 240–244. 5 indexed citations
18.
Gilbert, William J.. (1972). Homotopical Nilpotence of the Seven Sphere. Proceedings of the American Mathematical Society. 32(2). 621–621.
19.
Gilbert, William J.. (1972). Homotopical nilpotence of the seven sphere. Proceedings of the American Mathematical Society. 32(2). 621–622.
20.
Gilbert, William J.. (1968). Some examples for weak category and conilpotency. Illinois Journal of Mathematics. 12(3). 17 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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