F. V. Atkinson

3.9k total citations · 1 hit paper
59 papers, 2.2k citations indexed

About

F. V. Atkinson is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, F. V. Atkinson has authored 59 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Computational Theory and Mathematics, 28 papers in Applied Mathematics and 26 papers in Mathematical Physics. Recurrent topics in F. V. Atkinson's work include Spectral Theory in Mathematical Physics (19 papers), Advanced Mathematical Modeling in Engineering (16 papers) and Differential Equations and Numerical Methods (10 papers). F. V. Atkinson is often cited by papers focused on Spectral Theory in Mathematical Physics (19 papers), Advanced Mathematical Modeling in Engineering (16 papers) and Differential Equations and Numerical Methods (10 papers). F. V. Atkinson collaborates with scholars based in Canada, United States and Netherlands. F. V. Atkinson's co-authors include George H. Weiss, L. A. Peletier, Angelo B. Mingarelli, Heinz Langer, А. А. Шкаликов, R. Mennicken, Haı̈m Brezis, Earl A. Coddington, John R. Haddock and P. A. P. Moran and has published in prestigious journals such as Physics Today, Annals of Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

F. V. Atkinson

56 papers receiving 1.8k citations

Hit Papers

Discrete and Continuous Boundary Problems 1964 2026 1984 2005 1964 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. Discrete and Continuous Boundary Problems
    1964 566 citations F. V. Atkinson et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
F. V. Atkinson Canada 22 1.3k 1.1k 1.0k 541 272 59 2.2k
Seymour Goldberg United States 17 1.1k 0.8× 1.1k 1.0× 807 0.8× 273 0.5× 244 0.9× 43 2.3k
W. N. Everitt United Kingdom 28 1.2k 1.0× 1.7k 1.6× 1.0k 1.0× 382 0.7× 405 1.5× 147 2.3k
Allan M. Krall United States 22 747 0.6× 885 0.8× 746 0.7× 331 0.6× 267 1.0× 91 1.7k
Man Kam Kwong United States 24 1.9k 1.5× 1.1k 1.1× 987 0.9× 845 1.6× 352 1.3× 153 2.8k
E. H. Rothe United States 10 1.2k 0.9× 525 0.5× 941 0.9× 542 1.0× 183 0.7× 22 2.2k
Anton Zettl United States 29 1.3k 1.1× 2.2k 2.1× 1.4k 1.3× 482 0.9× 558 2.1× 164 2.8k
B. M. Levitan Israel 15 900 0.7× 1.4k 1.4× 765 0.7× 201 0.4× 430 1.6× 52 2.1k
A. P. Calderón United States 20 2.9k 2.2× 1.7k 1.6× 602 0.6× 342 0.6× 70 0.3× 34 3.4k
D. E. Edmunds United Kingdom 18 1.4k 1.1× 700 0.7× 853 0.8× 323 0.6× 87 0.3× 105 2.0k
Heinz Langer Germany 24 909 0.7× 1.5k 1.5× 1.1k 1.1× 246 0.5× 350 1.3× 141 2.3k

Countries citing papers authored by F. V. Atkinson

Since Specialization
Citations

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

Fields of papers citing papers by F. V. Atkinson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of F. V. Atkinson

This figure shows the co-authorship network connecting the top 25 collaborators of F. V. Atkinson. A scholar is included among the top collaborators of F. V. Atkinson 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. V. Atkinson. F. V. Atkinson 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.
Atkinson, F. V., L. A. Peletier, & James Serrin. (1992). Estimates for vertical points of solutions of prescribed mean curvature type equations II. Asymptotic Analysis. 5(4). 283–310. 5 indexed citations
2.
Atkinson, F. V., Haı̈m Brezis, & L. A. Peletier. (1990). Nodal solutions of elliptic equations with critical Sobolev exponents. Journal of Differential Equations. 85(1). 151–170. 73 indexed citations
3.
Atkinson, F. V. & Angelo B. Mingarelli. (1987). Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1987(375-376). 380–393. 53 indexed citations
4.
Atkinson, F. V. & L. A. Peletier. (1987). Elliptic equations with nearly critical growth. Journal of Differential Equations. 70(3). 349–365. 86 indexed citations
5.
Atkinson, F. V., Hans G. Kaper, & Man Kam Kwong. (1985). An oscillation criterion for linear second-order differential systems. Proceedings of the American Mathematical Society. 94(1). 91–91. 3 indexed citations
6.
Atkinson, F. V. & John R. Haddock. (1983). Criteria for asymptotic constancy of solutions of functional differential equations. Journal of Mathematical Analysis and Applications. 91(2). 410–423. 43 indexed citations
7.
Atkinson, F. V., Ronald Grimmer, & William T. Patula. (1980). Nonoscillatory solutions of forced second order linear equations. - II. Annali di Matematica Pura ed Applicata (1923 -). 126(1). 299–317. 1 indexed citations
8.
Atkinson, F. V. & W. N. Everitt. (1978). Bounds for the point spectrum for a Sturm-Liouville equation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 80(1-2). 57–66. 13 indexed citations
9.
Atkinson, F. V.. (1973). 13.—On Some Results of Everitt and Giertz. 71(2). 151–158. 8 indexed citations
10.
Atkinson, F. V. & L. A. Peletier. (1971). Similarity profiles of flows through porous media. Archive for Rational Mechanics and Analysis. 42(5). 369–379. 51 indexed citations
11.
Atkinson, F. V.. (1969). Some further estimates concerning sums of powers of complex numbers. Acta Mathematica Academiae Scientiarum Hungaricae. 20(1-2). 193–210. 3 indexed citations
12.
Atkinson, F. V.. (1968). On asymptotically periodic linear systems. Journal of Mathematical Analysis and Applications. 24(3). 646–653. 3 indexed citations
13.
Coddington, Earl A. & F. V. Atkinson. (1966). Discrete and Continuous Boundary Problems.. American Mathematical Monthly. 73(1). 102–102. 47 indexed citations
14.
Atkinson, F. V.. (1963). Some aspects of Baxter's functional equation. Journal of Mathematical Analysis and Applications. 7(1). 1–30. 81 indexed citations
15.
Atkinson, F. V.. (1961). On a Problem of Erdös and Szekeres. Canadian Mathematical Bulletin. 4(1). 7–12. 7 indexed citations
16.
Atkinson, F. V.. (1960). Wave propagation and the Bremmer series. Journal of Mathematical Analysis and Applications. 1(3-4). 255–276. 49 indexed citations
17.
Atkinson, F. V.. (1960). A constant area principle for steady oscillations. I. Journal of Mathematical Analysis and Applications. 1(2). 133–144. 1 indexed citations
18.
Atkinson, F. V.. (1957). Asymptotic formulae for linear oscillations. Proceedings of the Glasgow Mathematical Association. 3(3). 105–111. 12 indexed citations
19.
Atkinson, F. V.. (1956). On polynomials with least weighted maximum. Proceedings of the American Mathematical Society. 7(2). 267–270. 2 indexed citations
20.
Atkinson, F. V.. (1955). On Asymptotically Linear Second-Order Oscillations. Indiana University Mathematics Journal. 4(5). 769–793. 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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