A. B. Farnell

2.3k total citations · 1 hit paper
7 papers, 1.7k citations indexed

About

A. B. Farnell is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Molecular Biology. According to data from OpenAlex, A. B. Farnell has authored 7 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 2 papers in Numerical Analysis, 2 papers in Computational Theory and Mathematics and 1 paper in Molecular Biology. Recurrent topics in A. B. Farnell's work include Numerical methods for differential equations (2 papers), Magnolia and Illicium research (1 paper) and Polynomial and algebraic computation (1 paper). A. B. Farnell is often cited by papers focused on Numerical methods for differential equations (2 papers), Magnolia and Illicium research (1 paper) and Polynomial and algebraic computation (1 paper). A. B. Farnell collaborates with scholars based in . A. B. Farnell's co-authors include Peter Henrici, Louis A. Pipes, L. Cesari, J. G. Hayes and Marshall C. Pease and has published in prestigious journals such as SIAM Review and American Mathematical Monthly.

In The Last Decade

A. B. Farnell

7 papers receiving 1.3k citations

Hit Papers

1 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.

Discrete Variable Methods in Ordinary Differential Equations.

1962 1.5k citations A. B. Farnell, Peter Henrici American Mathematical Monthly profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. B. Farnell	4	1.1k	488	441	305	187	7	1.7k
Hans J. Stetter Austria	19	1.0k 1.0×	850 1.7×	783 1.8×	292 1.0×	86 0.5×	52	1.9k
V. V. Zhurin Russia	8	748 0.7×	308 0.6×	460 1.0×	731 2.4×	115 0.6×	15	1.8k
J. M. Varah Canada	20	533 0.5×	577 1.2×	374 0.8×	168 0.6×	76 0.4×	46	1.6k
P.J. van der Houwen Netherlands	23	1.9k 1.8×	655 1.3×	865 2.0×	634 2.1×	495 2.6×	115	2.4k
P. R. Graves-Morris United Kingdom	17	426 0.4×	355 0.7×	174 0.4×	178 0.6×	294 1.6×	78	1.5k
L. B. Rall United States	17	604 0.6×	635 1.3×	159 0.4×	63 0.2×	150 0.8×	46	1.3k
Blair Swartz United States	16	631 0.6×	292 0.6×	942 2.1×	115 0.4×	87 0.5×	45	1.4k
Yasuhiko Ikebe Japan	12	299 0.3×	523 1.1×	251 0.6×	180 0.6×	72 0.4×	38	1.5k
Seymour V. Parter United States	24	643 0.6×	971 2.0×	715 1.6×	245 0.8×	84 0.4×	91	2.0k
Kenneth R. Jackson Canada	21	1.1k 1.0×	633 1.3×	664 1.5×	468 1.5×	109 0.6×	61	2.3k

Countries citing papers authored by A. B. Farnell

Since Specialization

Citations

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

Fields of papers citing papers by A. B. Farnell

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. B. Farnell. 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 A. B. Farnell. The network helps show where A. B. Farnell may publish in the future.

Co-authorship network of co-authors of A. B. Farnell

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

All Works

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7 of 7 papers shown

1.

Farnell, A. B. & J. G. Hayes. (1971). Numerical Approximations to Functions and Data.. American Mathematical Monthly. 78(6). 686–686. 41 indexed citations

2.

Farnell, A. B. & Marshall C. Pease. (1967). Methods of Matrix Algebra.. American Mathematical Monthly. 74(1). 108–108. 2 indexed citations

3.

Farnell, A. B. & L. Cesari. (1964). Asymptotic Behavior and Stability Problems in Ordinary Differential Equations.. American Mathematical Monthly. 71(9). 1063–1063. 49 indexed citations

4.

Farnell, A. B. & Louis A. Pipes. (1964). Matrix Methods for Engineering.. American Mathematical Monthly. 71(3). 344–344. 56 indexed citations

5.

Farnell, A. B. & Peter Henrici. (1962). Discrete Variable Methods in Ordinary Differential Equations.. American Mathematical Monthly. 69(9). 935–935. 1530 indexed citations breakdown →

6.

Farnell, A. B.. (1960). Characteristic Root Bounds of Gerschgorin Type. SIAM Review. 2(1). 36–38. 2 indexed citations

7.

Farnell, A. B.. (1959). A Special Vandermondian Determinant. American Mathematical Monthly. 66(7). 564–569. 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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