F. W. J. Olver

11.6k total citations · 2 hit papers
85 papers, 7.4k citations indexed

About

F. W. J. Olver is a scholar working on Numerical Analysis, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, F. W. J. Olver has authored 85 papers receiving a total of 7.4k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Numerical Analysis, 30 papers in Applied Mathematics and 29 papers in Computational Theory and Mathematics. Recurrent topics in F. W. J. Olver's work include Mathematical functions and polynomials (19 papers), Differential Equations and Numerical Methods (18 papers) and Numerical methods for differential equations (16 papers). F. W. J. Olver is often cited by papers focused on Mathematical functions and polynomials (19 papers), Differential Equations and Numerical Methods (18 papers) and Numerical methods for differential equations (16 papers). F. W. J. Olver collaborates with scholars based in United States, United Kingdom and Ghana. F. W. J. Olver's co-authors include Daniel W. Lozier, Charles W. Clark, Ronald F. Boisvert, Wolfgang Wasow, Adri B. Olde Daalhuis, C. W. Clenshaw, A. R. Curtis, J. H. Wilkinson, Peter Turner and Frank Stenger and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and Journal of the ACM.

In The Last Decade

F. W. J. Olver

83 papers receiving 6.5k citations

Hit Papers

align trajectories sort by overperformance

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.

NIST Handbook of Mathematical Functions

2010 3.5k citations F. W. J. Olver, Daniel W. Lozier et al. profile →
Asymptotics and Special Functions

1997 1.7k citations F. W. J. Olver profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
F. W. J. Olver	2.1k	1.8k	1.3k	1.2k	988	85	7.4k
Carl Hammer	1.7k 0.8×	1.4k 0.8×	1.1k 0.9×	917 0.8×	593 0.6×	63	7.8k
Arthur Erdélyi	2.7k 1.3×	1.9k 1.1×	1.6k 1.2×	1.4k 1.2×	763 0.8×	7	8.0k
H. Bateman	3.1k 1.5×	2.2k 1.2×	1.8k 1.4×	1.6k 1.4×	884 0.9×	10	9.2k
Richard A. Silverman	2.9k 1.3×	1.7k 1.0×	944 0.7×	1.8k 1.5×	555 0.6×	42	9.5k
David Hilbert	1.6k 0.7×	1.0k 0.6×	964 0.7×	1.4k 1.2×	599 0.6×	72	8.2k
Wilhelm Magnus	1.2k 0.6×	2.4k 1.3×	1.4k 1.0×	1.8k 1.5×	504 0.5×	42	8.0k
Claude Brezinski	1.5k 0.7×	1.2k 0.7×	938 0.7×	584 0.5×	1.8k 1.8×	221	8.5k
Julian D. Cole	945 0.4×	675 0.4×	2.0k 1.5×	516 0.4×	1.4k 1.4×	97	8.0k
Mark Kac	1.4k 0.6×	2.6k 1.4×	3.2k 2.5×	2.0k 1.7×	302 0.3×	114	10.0k
K. S. Kölbig	1.1k 0.5×	2.3k 1.3×	1.1k 0.8×	624 0.5×	333 0.3×	57	9.3k

Countries citing papers authored by F. W. J. Olver

Since Specialization

Citations

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

Fields of papers citing papers by F. W. J. Olver

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by F. W. J. Olver. 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. W. J. Olver. The network helps show where F. W. J. Olver may publish in the future.

Co-authorship network of co-authors of F. W. J. Olver

This figure shows the co-authorship network connecting the top 25 collaborators of F. W. J. Olver. A scholar is included among the top collaborators of F. W. J. Olver 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. W. J. Olver. F. W. J. Olver 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

Boisvert, Ronald F., et al.. (2011). A Special Functions Handbook for the Digital Age. Notices of the American Mathematical Society. 58(7). 905–911. 3 indexed citations

Daalhuis, Adri B. Olde & F. W. J. Olver. (1994). Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank one. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 445(1923). 39–56. 24 indexed citations

Lozier, Daniel W. & F. W. J. Olver. (1993). Airy and Bessel Functions by Parallel Integration of ODEs.. PPSC. 530–538. 8 indexed citations

Olver, F. W. J.. (1988). Error Bounds for Linear Recurrence Relations. Mathematics of Computation. 50(182). 481–481. 3 indexed citations

Olver, F. W. J.. (1988). Error bounds for linear recurrence relations. Mathematics of Computation. 50(182). 481–499. 5 indexed citations

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

Olver, F. W. J.. (1978). General connection formulae for Liouville-Green approximations in the complex plane. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 289(1364). 501–548. 26 indexed citations

Olver, F. W. J.. (1975). Second-order linear differential equations with two turning points. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 278(1279). 137–174. 84 indexed citations

Olver, F. W. J.. (1975). Legendre functions with both parameters large. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 278(1279). 175–185. 17 indexed citations

10.

Olver, F. W. J., et al.. (1972). Note on Backward Recurrence Algorithms. Mathematics of Computation. 26(120). 941–941. 9 indexed citations

11.

Olver, F. W. J.. (1968). Error bounds for the laplace approximation for definite integrals. Journal of Approximation Theory. 1(3). 293–313. 18 indexed citations

12.

Olver, F. W. J.. (1968). An extension of Miller's algorithm. Applications of Mathematics. 13(2). 174–176. 2 indexed citations

13.

Olver, F. W. J.. (1964). Error analysis of Miller’s recurrence algorithm. Mathematics of Computation. 18(85). 65–74. 27 indexed citations

14.

Olver, F. W. J.. (1960). Zeros and associated values. University Press eBooks. 4 indexed citations

15.

Olver, F. W. J.. (1958). Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 250(984). 479–517. 29 indexed citations

16.

Olver, F. W. J.. (1956). The asymptotic solution of linear differential equations of the second order in a domain containing one transition point. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 249(959). 65–97. 40 indexed citations

17.

Olver, F. W. J.. (1954). The asymptotic solution of linear differential equations of the second order for large values of a parameter. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 247(930). 307–327. 113 indexed citations

18.

Olver, F. W. J.. (1954). The asymptotic expansion of bessel functions of large order. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 247(930). 328–368. 255 indexed citations

19.

Olver, F. W. J.. (1952). The evaluation of zeros of high-degree polynomials. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 244(885). 385–415. 20 indexed citations

20.

Olver, F. W. J.. (1951). A further method for the evaluation of zeros of Bessel functions and some new asymptotic expansions for zeros of functions of large order. Mathematical Proceedings of the Cambridge Philosophical Society. 47(4). 699–712. 30 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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