John P. Boyd

13.9k total citations · 1 hit paper
277 papers, 10.0k citations indexed

About

John P. Boyd is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, John P. Boyd has authored 277 papers receiving a total of 10.0k indexed citations (citations by other indexed papers that have themselves been cited), including 93 papers in Statistical and Nonlinear Physics, 60 papers in Numerical Analysis and 54 papers in Computational Mechanics. Recurrent topics in John P. Boyd's work include Nonlinear Waves and Solitons (57 papers), Mathematical functions and polynomials (45 papers) and Nonlinear Photonic Systems (42 papers). John P. Boyd is often cited by papers focused on Nonlinear Waves and Solitons (57 papers), Mathematical functions and polynomials (45 papers) and Nonlinear Photonic Systems (42 papers). John P. Boyd collaborates with scholars based in United States, China and Mexico. John P. Boyd's co-authors include Philip G. Zimbardo, Benkui Tan, William J. Fitzgerald, William W. Schultz, Guanyu Chen, Mohamed Iskandarani, Dale B. Haidvogel, Fei Xu, William H. Batchelder and Chitra Rangan and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Journal of Fluid Mechanics.

In The Last Decade

John P. Boyd

272 papers receiving 9.2k citations

Hit Papers

align trajectories

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.

Chebyshev and Fourier Spectral Methods

2001 3.1k citations John P. Boyd profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
John P. Boyd United States	42	2.4k	2.1k	2.1k	1.4k	1.3k	277	10.0k
Lloyd N. Trefethen United Kingdom	54	2.7k 1.2×	5.4k 2.5×	3.8k 1.8×	1.2k 0.8×	2.5k 2.0×	175	17.4k
Claude Brezinski France	36	938 0.4×	1000 0.5×	1.8k 0.9×	681 0.5×	1.2k 1.0×	221	8.5k
L. F. Shampine United States	45	1.3k 0.5×	3.1k 1.5×	3.8k 1.8×	709 0.5×	790 0.6×	187	12.5k
Julian D. Cole United States	22	2.0k 0.8×	2.5k 1.2×	1.4k 0.7×	700 0.5×	675 0.5×	97	8.0k
D. B. Owen United States	29	1.6k 0.7×	1.2k 0.6×	785 0.4×	503 0.3×	2.5k 1.9×	112	18.6k
Peter J. Olver United States	45	9.4k 4.0×	1.2k 0.6×	1.9k 0.9×	1.3k 0.9×	1.0k 0.8×	198	13.6k
Andrew M. Stuart United Kingdom	49	1.8k 0.8×	1.7k 0.8×	1.2k 0.6×	718 0.5×	225 0.2×	208	9.7k
Gilbert Strang United States	43	884 0.4×	5.0k 2.4×	2.0k 0.9×	346 0.2×	1.2k 0.9×	185	18.6k
Alan Jeffrey United Kingdom	29	2.5k 1.1×	1.0k 0.5×	506 0.2×	421 0.3×	3.8k 3.0×	149	15.3k
I. S. Gradshteyn United States	7	4.3k 1.8×	1.5k 0.7×	703 0.3×	633 0.4×	8.9k 7.0×	8	32.0k

Countries citing papers authored by John P. Boyd

Since Specialization

Citations

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

Fields of papers citing papers by John P. Boyd

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of John P. Boyd

This figure shows the co-authorship network connecting the top 25 collaborators of John P. Boyd. A scholar is included among the top collaborators of John P. Boyd 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 P. Boyd. John P. Boyd 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

Amore, Paolo, et al.. (2023). The heterogeneous helicoseir. Physica D Nonlinear Phenomena. 446. 133669–133669. 1 indexed citations

Boyd, John P.. (2023). Using parity to accelerate Hermite function computations: Zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation. Mathematics and Computers in Simulation. 207. 521–532. 1 indexed citations

Boyd, John P. & Houjun Wang. (2017). Convergent Power Series for Boundary Value Problems and Eigenproblems with Application to Atmospheric and Oceanic Tides. American Mathematical Monthly. 124(4). 306–323. 1 indexed citations

Boyd, John P.. (2016). Correcting Three Errors in Kantorovich & Krylov's Approximate Methods of Higher Analysis. American Mathematical Monthly. 123(3). 241–257. 2 indexed citations

Boyd, John P.. (2016). Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: Extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation. Computers & Mathematics with Applications. 71(6). 1227–1241. 2 indexed citations

Boyd, John P., et al.. (2016). All roots spectral methods: Constraints, floating point arithmetic and root exclusion. Applied Mathematics Letters. 67. 28–32. 1 indexed citations

Huang, Zhu & John P. Boyd. (2015). Chebyshev–Fourier spectral methods in bipolar coordinates. Journal of Computational Physics. 295. 46–64. 3 indexed citations

Boyd, John P.. (2010). New series for the cosine lemniscate function and the polynomialization of the lemniscate integral. Journal of Computational and Applied Mathematics. 235(8). 1941–1955. 5 indexed citations

Boyd, John P.. (2010). Six strategies for defeating the Runge Phenomenon in Gaussian radial basis functions on a finite interval. Computers & Mathematics with Applications. 60(12). 3108–3122. 29 indexed citations

10.

Boyd, John P.. (2008). Chebyshev expansion on intervals with branch points with application to the root of Kepler’s equation: A Chebyshev–Hermite–Padé method. Journal of Computational and Applied Mathematics. 223(2). 693–702. 14 indexed citations

11.

Boyd, John P.. (2007). Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries. Computers & Mathematics with Applications. 54(3). 336–349. 8 indexed citations

12.

Boyd, John P.. (2003). Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions. Applied and Computational Harmonic Analysis. 15(2). 168–176. 29 indexed citations

13.

Boyd, John P.. (2000). Redes sociales y semigrupos. Política y Sociedad. 33(33). 105–105. 2 indexed citations

14.

Schultz, William W., et al.. (1997). An Analysis of the Oil-Whirl Instability. APS. 2 indexed citations

15.

Boyd, John P.. (1996). Asymptotic Chebyshev coefficients for two functions with very rapidly or very slowly divergent power series about one endpoint. Applied Mathematics Letters. 9(2). 11–15. 3 indexed citations

16.

Boyd, John P.. (1990). The orthogonal rational functions of Higgins and Christov and algebraically mapped Chebyshev polynomials. Journal of Approximation Theory. 61(1). 98–105. 24 indexed citations

17.

Boyd, John P.. (1988). An analytical solution for a nonlinear differential equation with logarithmic decay. Advances in Applied Mathematics. 9(3). 358–363. 2 indexed citations

18.

Boyd, John P.. (1981). The rate of convergence of Chebyshev polynomials for functions which have asymptotic power series about one endpoint. Mathematics of Computation. 37(155). 189–195. 6 indexed citations

19.

Boyd, John P.. (1980). The rate of convergence of Hermite function series. Mathematics of Computation. 35(152). 1309–1316. 39 indexed citations

20.

Boyd, John P.. (1976). Planetary Waves and the Semiannual Wind Oscillation in the Tropical Upper Stratosphere.. PhDT. 1 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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