F. M. Arscott

1.4k total citations · 1 hit paper
32 papers, 876 citations indexed

About

F. M. Arscott is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, F. M. Arscott has authored 32 papers receiving a total of 876 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Statistical and Nonlinear Physics, 6 papers in Numerical Analysis and 6 papers in Geometry and Topology. Recurrent topics in F. M. Arscott's work include Numerical methods for differential equations (5 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Matrix Theory and Algorithms (4 papers). F. M. Arscott is often cited by papers focused on Numerical methods for differential equations (5 papers), Advanced Differential Equations and Dynamical Systems (4 papers) and Matrix Theory and Algorithms (4 papers). F. M. Arscott collaborates with scholars based in United Kingdom, Canada and Uganda. F. M. Arscott's co-authors include František Neuman, Michal Greguš, B. D. Sleeman, Patrick J. Taylor and Jack K. Hale and has published in prestigious journals such as Mathematics of Computation, American Mathematical Monthly and Bulletin of the London Mathematical Society.

In The Last Decade

F. M. Arscott

29 papers receiving 780 citations

Hit Papers

PERIODIC-PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY 1992 2026 2003 2014 1992 100 200 300 400 500
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. PERIODIC-PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY
    1992 572 citations F. M. Arscott Bulletin of the London Mathematical Society profile →

Peers

F. M. Arscott
Franz Rothe Germany
Anthony W. Leung United States
C. Conley United States
Aizik Volpert Israel
P. de Mottoni Italy
Y. S. Choi United States
James L. Kaplan United States
Shair Ahmad United States
Walter G. Kelley United States
Chi-Kun Lin Taiwan
Franz Rothe Germany
F. M. Arscott
Citations per year, relative to F. M. Arscott F. M. Arscott (= 1×) peers Franz Rothe

Countries citing papers authored by F. M. Arscott

Since Specialization
Citations

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

Fields of papers citing papers by F. M. Arscott

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by F. M. Arscott. 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 F. M. Arscott. The network helps show where F. M. Arscott may publish in the future.

Co-authorship network of co-authors of F. M. Arscott

This figure shows the co-authorship network connecting the top 25 collaborators of F. M. Arscott. A scholar is included among the top collaborators of F. M. Arscott 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 F. M. Arscott. F. M. Arscott 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.
Arscott, F. M.. (1992). PERIODIC-PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY. Bulletin of the London Mathematical Society. 24(6). 619–620. 572 indexed citations breakdown →
2.
Arscott, F. M., et al.. (1988). A potential problem arising from the strip-punch problem in elasticity. Journal of Engineering Mathematics. 22(3). 203–223.
3.
Arscott, F. M.. (1987). Studies in multiplicative solutions to linear differential equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 106(3-4). 277–305. 1 indexed citations
4.
Arscott, F. M., et al.. (1983). On the numerical construction of ellipsoidal wave functions. Mathematics of Computation. 40(161). 367–380. 13 indexed citations
5.
Greguš, Michal, František Neuman, & F. M. Arscott. (1971). Three‐Point Boundary Value Problems in Differential Equations. Journal of the London Mathematical Society. s2-3(3). 429–436. 40 indexed citations
6.
Arscott, F. M., et al.. (1971). Lamé's Equation and Its Use in Elliptic Cone Problems. IMA Journal of Applied Mathematics. 7(3). 331–336. 3 indexed citations
7.
Arscott, F. M., et al.. (1970). III.—Theory of the Whittaker Hill Equation. 69(1). 28–44. 21 indexed citations
8.
Arscott, F. M. & B. D. Sleeman. (1970). High‐frequency approximations to ellipsoidal wave functions. Mathematika. 17(1). 39–46. 11 indexed citations
9.
10.
Arscott, F. M.. (1968). Theory and Application of Mathieu Functions. By N. W. Mclachlan. Pp. xii, 401. (Dover, New York.). The Mathematical Gazette. 52(379). 94–95. 3 indexed citations
11.
Hale, Jack K. & F. M. Arscott. (1966). Periodic Differential Equations.. American Mathematical Monthly. 73(4). 430–430. 1 indexed citations
12.
Arscott, F. M.. (1965). COMPLEX VARIABLES/SPECIAL FUNCTIONS. Journal of the London Mathematical Society. s1-40(1). 568–568. 1 indexed citations
13.
Arscott, F. M.. (1964). INTEGRAL EQUATIONS AND RELATIONS FOR LAMÉ FUNCTIONS. The Quarterly Journal of Mathematics. 15(1). 103–115. 8 indexed citations
14.
Arscott, F. M.. (1959). A New Treatment of the Ellipsoidal Wave Equation. Proceedings of the London Mathematical Society. s3-9(1). 21–50. 7 indexed citations
15.
Arscott, F. M.. (1958). Relations between Spherical and Ellipsoidal Harmonics and Some Applications. Journal of the London Mathematical Society. s1-33(1). 39–49. 6 indexed citations
16.
Arscott, F. M.. (1957). INTEGRAL EQUATIONS FOR ELLIPSOIDAL WAVE FUNCTIONS. The Quarterly Journal of Mathematics. 8(1). 223–235. 4 indexed citations
17.
Arscott, F. M.. (1956). Recurrence Formulae for Lamé Polynomials. Journal of the London Mathematical Society. s1-31(3). 360–364. 4 indexed citations
18.
Arscott, F. M.. (1955). 2548. A test for divisibility by 19. The Mathematical Gazette. 39(329). 232–232.
19.
Arscott, F. M.. (1955). 2566. Tests of divisibility. The Mathematical Gazette. 39(330). 305–306.
20.
Arscott, F. M.. (1955). The Oscillation of A Heavy Spring. The Mathematical Gazette. 39(328). 126–131. 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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