Walter Leighton

1.4k total citations
40 papers, 609 citations indexed

About

Walter Leighton is a scholar working on Numerical Analysis, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Walter Leighton has authored 40 papers receiving a total of 609 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Numerical Analysis, 18 papers in Applied Mathematics and 6 papers in Geometry and Topology. Recurrent topics in Walter Leighton's work include Numerical methods for differential equations (14 papers), Differential Equations and Numerical Methods (12 papers) and Differential Equations and Boundary Problems (12 papers). Walter Leighton is often cited by papers focused on Numerical methods for differential equations (14 papers), Differential Equations and Numerical Methods (12 papers) and Differential Equations and Boundary Problems (12 papers). Walter Leighton collaborates with scholars based in United States. Walter Leighton's co-authors include Zeev Nehari, N. P. Bhatia, A. C. Lazer, N. Parhi and N. S. Mendelsohn and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Walter Leighton

32 papers receiving 360 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Walter Leighton United States	13	404	369	140	114	54	40	609
R. Kannan United States	15	314 0.8×	301 0.8×	179 1.3×	85 0.7×	58 1.1×	58	540
Á. Elbert Hungary	11	452 1.1×	290 0.8×	112 0.8×	96 0.8×	49 0.9×	19	550
Svatopluk Fučík Czechia	12	601 1.5×	269 0.7×	427 3.0×	236 2.1×	107 2.0×	40	805
Uri Elias Israel	11	278 0.7×	235 0.6×	93 0.7×	98 0.9×	60 1.1×	48	412
John Locker United States	13	212 0.5×	131 0.4×	250 1.8×	283 2.5×	30 0.6×	39	491
C. Fabry Belgium	13	418 1.0×	230 0.6×	165 1.2×	109 1.0×	138 2.6×	27	550
Milan Tvrdý Czechia	14	528 1.3×	329 0.9×	183 1.3×	125 1.1×	111 2.1×	58	663
A A Gončar	13	457 1.1×	214 0.6×	117 0.8×	88 0.8×	127 2.4×	15	575
Robert Hakl Czechia	13	468 1.2×	306 0.8×	123 0.9×	79 0.7×	89 1.6×	53	537
Giovanni Prouse Italy	6	227 0.6×	96 0.3×	146 1.0×	96 0.8×	27 0.5×	13	389

Countries citing papers authored by Walter Leighton

Since Specialization

Citations

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

Fields of papers citing papers by Walter Leighton

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Walter Leighton

This figure shows the co-authorship network connecting the top 25 collaborators of Walter Leighton. A scholar is included among the top collaborators of Walter Leighton 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 Walter Leighton. Walter Leighton 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

Leighton, Walter. (1986). Hill's equation revisited. Journal of Mathematical Analysis and Applications. 114(2). 497–502. 6 indexed citations

Parhi, N., et al.. (1979). On the Behaviour of Solutions of. Applicable Analysis. 9(1). 1–5. 4 indexed citations

Leighton, Walter. (1976). An introduction to the theory of ordinary differential equations. Medical Entomology and Zoology. 14 indexed citations

Leighton, Walter, et al.. (1973). On the differential equation y″ + p(x)y = f(x). Journal of Mathematical Analysis and Applications. 43(1). 46–55. 32 indexed citations

Leighton, Walter, et al.. (1971). A Comparison Theorem. Proceedings of the American Mathematical Society. 28(1). 185–185. 1 indexed citations

Leighton, Walter, et al.. (1971). A comparison theorem. Proceedings of the American Mathematical Society. 28(1). 185–188. 1 indexed citations

Leighton, Walter. (1970). Quadratic Functionals of Second Order. Transactions of the American Mathematical Society. 151(1). 309–309.

Leighton, Walter. (1970). Ordinary Differential Equations. Andalas University Repository (Andalas University). 16 indexed citations

Leighton, Walter. (1970). The Conjugacy Function. Proceedings of the American Mathematical Society. 24(4). 820–820. 2 indexed citations

10.

Leighton, Walter. (1970). The conjugacy function. Proceedings of the American Mathematical Society. 24(4). 820–823. 4 indexed citations

11.

Leighton, Walter. (1969). On the Differential Equation xy � � - (x + n)y � + ny = 0. American Mathematical Monthly. 76(1). 52–52. 1 indexed citations

12.

Leighton, Walter. (1969). Regular singular points in the nonanalytic case; singular functionals. Journal of Mathematical Analysis and Applications. 28(1). 59–76.

13.

Leighton, Walter, et al.. (1968). Liapunov functions for autonomous systems of second order. Journal of Mathematical Analysis and Applications. 23(3). 645–664. 12 indexed citations

14.

Leighton, Walter. (1968). Some elementary Sturm theory. Journal of Differential Equations. 4(2). 187–193. 15 indexed citations

15.

Leighton, Walter. (1962). Comparison theorems for linear differential equations of second order. Proceedings of the American Mathematical Society. 13(4). 603–610. 58 indexed citations

16.

Leighton, Walter. (1962). Comparison Theorems for Linear Differential Equations of Second Order. Proceedings of the American Mathematical Society. 13(4). 603–603. 15 indexed citations

17.

Leighton, Walter. (1960). Calculus and analytic geometry. 1 indexed citations

18.

Leighton, Walter & Zeev Nehari. (1958). On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Transactions of the American Mathematical Society. 89(2). 325–377. 168 indexed citations

19.

Leighton, Walter, et al.. (1955). Quadratic functionals with a singular end point. Transactions of the American Mathematical Society. 78(1). 98–128. 8 indexed citations

20.

Leighton, Walter, et al.. (1955). Quadratic Functionals With a Singular End Point. Transactions of the American Mathematical Society. 78(1). 98–98. 3 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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