Wilfred Kaplan

1.6k total citations
36 papers, 913 citations indexed

About

Wilfred Kaplan is a scholar working on Geometry and Topology, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Wilfred Kaplan has authored 36 papers receiving a total of 913 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Geometry and Topology, 6 papers in Numerical Analysis and 6 papers in Applied Mathematics. Recurrent topics in Wilfred Kaplan's work include Mathematics and Applications (4 papers), Advanced Optimization Algorithms Research (3 papers) and Functional Equations Stability Results (2 papers). Wilfred Kaplan is often cited by papers focused on Mathematics and Applications (4 papers), Advanced Optimization Algorithms Research (3 papers) and Functional Equations Stability Results (2 papers). Wilfred Kaplan collaborates with scholars based in United States and Czechia. Wilfred Kaplan's co-authors include T. Teichmann, Peter L. Balise, D. E. Barton, G. D. Anderson, A. P. Prudnikov, V. A. Ditkin, D. M. G. Wishart, Donald J. Lewis, Roy H. Goetschel and Richard Johnsonbaugh and has published in prestigious journals such as Physics Today, Biometrika and Mathematics of Computation.

In The Last Decade

Wilfred Kaplan

33 papers receiving 695 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Wilfred Kaplan United States 13 373 371 123 83 64 36 913
Luis A. Santaló Argentina 4 228 0.6× 327 0.9× 72 0.6× 16 0.2× 11 0.2× 5 778
Joel L. Schiff New Zealand 6 118 0.3× 250 0.7× 70 0.6× 75 0.9× 60 0.9× 30 668
W. S. Loud United States 13 83 0.2× 143 0.4× 112 0.9× 143 1.7× 149 2.3× 31 952
Constantin Carathéodory 4 140 0.4× 175 0.5× 97 0.8× 45 0.5× 65 1.0× 7 599
H. T. Croft United States 11 115 0.3× 130 0.4× 77 0.6× 23 0.3× 15 0.2× 28 822
H. Hadwiger Switzerland 16 416 1.1× 658 1.8× 273 2.2× 64 0.8× 4 0.1× 59 1.5k
Tibor K. Pogány Croatia 16 114 0.3× 666 1.8× 33 0.3× 110 1.3× 24 0.4× 143 1.0k
S. S. Kutateladze Russia 20 88 0.2× 289 0.8× 186 1.5× 70 0.8× 24 0.4× 160 1.6k
Frederick J. Almgren United States 11 329 0.9× 635 1.7× 228 1.9× 34 0.4× 19 0.3× 16 965
V. Ya. Stetsenko Russia 4 43 0.1× 169 0.5× 175 1.4× 182 2.2× 51 0.8× 9 561

Countries citing papers authored by Wilfred Kaplan

Since Specialization
Citations

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

Fields of papers citing papers by Wilfred Kaplan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Wilfred Kaplan. 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 Wilfred Kaplan. The network helps show where Wilfred Kaplan may publish in the future.

Co-authorship network of co-authors of Wilfred Kaplan

This figure shows the co-authorship network connecting the top 25 collaborators of Wilfred Kaplan. A scholar is included among the top collaborators of Wilfred Kaplan 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 Wilfred Kaplan. Wilfred Kaplan 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.
Kaplan, Wilfred. (2001). A copositivity probe. Linear Algebra and its Applications. 337(1-3). 237–251. 14 indexed citations
2.
Kaplan, Wilfred. (2000). A test for copositive matrices. Linear Algebra and its Applications. 313(1-3). 203–206. 42 indexed citations
3.
Kaplan, Wilfred & Wei Yang. (1997). Duality theorem for a generalized Fermat-Weber problem. Mathematical Programming. 76(2). 285–297. 4 indexed citations
4.
Kaplan, Wilfred. (1993). Convexity and the Schwarz-Christoffel mapping.. The Michigan Mathematical Journal. 40(2). 4 indexed citations
5.
Kaplan, Wilfred, et al.. (1992). Procedures for multiple integration. Computers & Mathematics with Applications. 24(7). 125–126. 2 indexed citations
6.
Kaplan, Wilfred, et al.. (1982). Advanced Calculus. An Introduction to Modern Analysis.. American Mathematical Monthly. 89(9). 708–708. 19 indexed citations
7.
Kaplan, Wilfred. (1978). Introduction to the Theory of Infinitesimals (J. D. Stroyan and W. A. J. Luxemburg). SIAM Review. 20(2). 403–403. 1 indexed citations
8.
Kaplan, Wilfred. (1978). On the trajectories of a quadratic differential,I. Commentarii Mathematici Helvetici. 53(1). 57–72.
9.
Kaplan, Wilfred. (1976). Mathematics Applied to Deterministic Problems in the Natural Sciences (C. C. Lin and L. A. Segel). SIAM Review. 18(1). 146–148. 1 indexed citations
10.
Kaplan, Wilfred. (1970). Topics in Mathematical System Theory (Rudolf E. Kalman, Peter L. Falb and Michael A. Arbib). SIAM Review. 12(1). 157–158. 2 indexed citations
11.
Danese, Arthur E. & Wilfred Kaplan. (1969). Introduction to Analytic Functions.. American Mathematical Monthly. 76(2). 212–212. 1 indexed citations
12.
Kaplan, Wilfred. (1964). Elements of Differential Equations. Medical Entomology and Zoology. 1 indexed citations
13.
Kaplan, Wilfred, et al.. (1964). Elements of Ordinary Differential Equations. Medical Entomology and Zoology. 12 indexed citations
14.
Kaplan, Wilfred. (1964). Linear System Theory, the State Space Approach (Lotfi A. Zadeh and Charles A. Desoer). SIAM Review. 6(3). 319–320. 1 indexed citations
15.
Kaplan, Wilfred & G. D. Anderson. (1964). Functions of several complex variables. Medical Entomology and Zoology. 30 indexed citations
16.
Kaplan, Wilfred, V. A. Ditkin, A. P. Prudnikov, & D. M. G. Wishart. (1963). Operational Calculus in Two Variables and Its Applications.. American Mathematical Monthly. 70(6). 687–687. 53 indexed citations
17.
Kaplan, Wilfred. (1962). The singularities of continuous functions and vector fields.. The Michigan Mathematical Journal. 9(2).
18.
Kaplan, Wilfred, et al.. (1960). Ordinary Differential Equations.. American Mathematical Monthly. 67(1). 96–96. 6 indexed citations
19.
Kaplan, Wilfred. (1960). Book Review: Approximate methods of higher analysis. Bulletin of the American Mathematical Society. 66(3). 146–148. 3 indexed citations
20.
Kaplan, Wilfred. (1955). Approximation by entire functions.. The Michigan Mathematical Journal. 3(1). 24 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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