C. W. Clenshaw

4.2k total citations · 2 hit papers
27 papers, 3.0k citations indexed

About

C. W. Clenshaw is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, C. W. Clenshaw has authored 27 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Computational Theory and Mathematics, 6 papers in Numerical Analysis and 6 papers in Applied Mathematics. Recurrent topics in C. W. Clenshaw's work include Numerical Methods and Algorithms (7 papers), Mathematical functions and polynomials (5 papers) and Advanced Numerical Analysis Techniques (4 papers). C. W. Clenshaw is often cited by papers focused on Numerical Methods and Algorithms (7 papers), Mathematical functions and polynomials (5 papers) and Advanced Numerical Analysis Techniques (4 papers). C. W. Clenshaw collaborates with scholars based in United Kingdom, United States and Ghana. C. W. Clenshaw's co-authors include Yudell L. Luke, A. R. Curtis, F. W. J. Olver, J. G. Hayes, Peter Turner, M. Woodger, G. F. Miller, D. G. Elliott and Daniel W. Lozier and has published in prestigious journals such as Mathematics of Computation, Journal of the ACM and Journal of the Franklin Institute.

In The Last Decade

C. W. Clenshaw

27 papers receiving 2.5k 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.

The Special Functions and Their Approximations

1972 1.1k citations C. W. Clenshaw, Yudell L. Luke Mathematics of Computation profile →
A method for numerical integration on an automatic computer

1960 676 citations C. W. Clenshaw, A. R. Curtis Numerische Mathematik profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
C. W. Clenshaw United Kingdom	15	987	751	553	474	371	27	3.0k
Yudell L. Luke United States	16	956 1.0×	459 0.6×	282 0.5×	401 0.8×	301 0.8×	91	2.4k
P. Túrán Hungary	21	1.2k 1.2×	503 0.7×	543 1.0×	262 0.6×	195 0.5×	77	2.7k
Robert Piessens Belgium	26	670 0.7×	552 0.7×	323 0.6×	462 1.0×	349 0.9×	97	2.4k
Philip Rabinowitz Israel	18	1.2k 1.2×	1.4k 1.9×	880 1.6×	984 2.1×	379 1.0×	62	5.1k
V. I. Krylov Russia	8	639 0.6×	582 0.8×	433 0.8×	520 1.1×	151 0.4×	16	3.3k
J. N. Lyness United States	25	622 0.6×	894 1.2×	622 1.1×	430 0.9×	191 0.5×	119	2.6k
Eugene Isaacson United States	14	725 0.7×	1.1k 1.4×	818 1.5×	331 0.7×	222 0.6×	26	4.4k
Henry C. Thacher United States	14	480 0.5×	441 0.6×	597 1.1×	274 0.6×	142 0.4×	57	2.2k
Avram Sidi Israel	25	982 1.0×	1.1k 1.5×	752 1.4×	571 1.2×	486 1.3×	138	2.5k
W. J. Thron United States	22	1.6k 1.6×	543 0.7×	1.5k 2.7×	346 0.7×	321 0.9×	87	4.7k

Countries citing papers authored by C. W. Clenshaw

Since Specialization

Citations

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

Fields of papers citing papers by C. W. Clenshaw

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of C. W. Clenshaw

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Clenshaw, C. W. & Peter Turner. (1988). The Symmetric Level-Index System. IMA Journal of Numerical Analysis. 8(4). 517–526. 13 indexed citations

2.

Clenshaw, C. W. & F. W. J. Olver. (1987). Level-Index Arithmetic Operations. SIAM Journal on Numerical Analysis. 24(2). 470–485. 14 indexed citations

3.

Clenshaw, C. W. & F. W. J. Olver. (1986). Unrestricted algorithms for reciprocals and square roots. BIT Numerical Mathematics. 26(4). 475–492. 3 indexed citations

4.

Clenshaw, C. W., Daniel W. Lozier, F. W. J. Olver, & Peter Turner. (1986). Generalized exponential and logarithmic functions. Computers & Mathematics with Applications. 12(5-6). 1091–1101. 8 indexed citations

5.

Clenshaw, C. W. & F. W. J. Olver. (1980). An Unrestricted Algorithm for the Exponential Function. SIAM Journal on Numerical Analysis. 17(2). 310–331. 10 indexed citations

6.

Clenshaw, C. W., et al.. (1978). The Cubic X-Spline and its Application to Interpolation. IMA Journal of Applied Mathematics. 22(1). 109–119. 14 indexed citations

7.

Clenshaw, C. W. & Yudell L. Luke. (1972). The Special Functions and Their Approximations. Mathematics of Computation. 26(117). 297–297. 1091 indexed citations breakdown →

8.

Clenshaw, C. W.. (1967). Chebyshev methods in numerical approximation. Journal of the Franklin Institute. 284(5). 338–338. 112 indexed citations

9.

Clenshaw, C. W.. (1966). Approximation of Functions. The Computer Journal. 9(3). 285–285. 246 indexed citations

10.

Clenshaw, C. W. & J. G. Hayes. (1965). Curve and Surface Fitting. IMA Journal of Applied Mathematics. 1(2). 164–183. 58 indexed citations

11.

Clenshaw, C. W.. (1964). A Comparison of “Best” Polynomial Approximations with Truncated Chebyshev Series Expansions. 1(1). 26–37. 17 indexed citations

12.

Clenshaw, C. W.. (1963). The solution of nonlinear ordinary differential equations in Chebyshev series. The Computer Journal. 6(1). 88–92. 88 indexed citations

13.

Clenshaw, C. W., et al.. (1963). Chebyshev Series for Mathematical Functions. Mathematics of Computation. 17(81). 88–88. 51 indexed citations

14.

Clenshaw, C. W., G. F. Miller, & M. Woodger. (1962). Algorithms for Special Functions I. Numerische Mathematik. 4(1). 403–419. 17 indexed citations

15.

Clenshaw, C. W.. (1962). Chebyshev series for mathematical functions. Medical Entomology and Zoology. 96 indexed citations

16.

Clenshaw, C. W. & A. R. Curtis. (1960). A method for numerical integration on an automatic computer. Numerische Mathematik. 2(1). 197–205. 676 indexed citations breakdown →

17.

Clenshaw, C. W. & D. G. Elliott. (1960). A NUMERICAL TREATMENT OF THE ORRSOMMERFELD EQUATION IN THE CASE OF A LAMINAR JET. The Quarterly Journal of Mechanics and Applied Mathematics. 13(3). 300–313. 10 indexed citations

18.

Clenshaw, C. W.. (1954). Polynomial approximations to elementary functions. Mathematics of Computation. 8(47). 143–147. 16 indexed citations

19.

Clenshaw, C. W.. (1954). Polynomial Approximations to Elementary Functions. Mathematical Tables and Other Aids to Computation. 8(47). 143–143. 10 indexed citations

20.

Clenshaw, C. W. & F. W. J. Olver. (1951). Notes on Numerical Analysis--3: Solution of Differential Equations by Recurrence Relations. Mathematical Tables and Other Aids to Computation. 5(33). 34–34. 2 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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