C. E. Langenhop

1.8k total citations · 1 hit paper
27 papers, 1.3k citations indexed

About

C. E. Langenhop is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, C. E. Langenhop has authored 27 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Computational Theory and Mathematics, 12 papers in Numerical Analysis and 7 papers in Applied Mathematics. Recurrent topics in C. E. Langenhop's work include Matrix Theory and Algorithms (11 papers), Numerical methods for differential equations (8 papers) and Nonlinear Differential Equations Analysis (5 papers). C. E. Langenhop is often cited by papers focused on Matrix Theory and Algorithms (11 papers), Numerical methods for differential equations (8 papers) and Nonlinear Differential Equations Analysis (5 papers). C. E. Langenhop collaborates with scholars based in United States. C. E. Langenhop's co-authors include G. Birkhoff, G.-C Rota, Marc Q. Jacobs, H. T. Banks, George Seifert and William E. Wright and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and SIAM Journal on Computing.

In The Last Decade

C. E. Langenhop

26 papers receiving 1.1k citations

Hit Papers

Ordinary Differential Equations. 1963 2026 1984 2005 1963 250 500 750
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. Ordinary Differential Equations.
    1963 995 citations C. E. Langenhop et al. American Mathematical Monthly profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
C. E. Langenhop United States 10 382 295 261 254 219 27 1.3k
G. Birkhoff United States 10 421 1.1× 341 1.2× 151 0.6× 342 1.3× 264 1.2× 19 1.7k
G.-C Rota United States 17 464 1.2× 427 1.4× 162 0.6× 225 0.9× 389 1.8× 56 1.9k
F. S. Van Vleck United States 15 575 1.5× 500 1.7× 430 1.6× 454 1.8× 289 1.3× 33 1.9k
Solomon Lefschetz United States 12 246 0.6× 199 0.7× 504 1.9× 252 1.0× 154 0.7× 39 1.8k
J. L. Brenner United States 19 417 1.1× 607 2.1× 376 1.4× 223 0.9× 252 1.2× 86 2.3k
N. P. Bhatia United States 8 207 0.5× 154 0.5× 483 1.9× 120 0.5× 302 1.4× 21 1.3k
Avner Friedman United States 23 549 1.4× 631 2.1× 228 0.9× 201 0.8× 330 1.5× 101 1.8k
James L. Kaplan United States 13 273 0.7× 117 0.4× 108 0.4× 234 0.9× 221 1.0× 19 1.3k
R. D. Driver United States 17 708 1.9× 265 0.9× 491 1.9× 770 3.0× 105 0.5× 26 1.8k
Robert H. Martin United States 12 442 1.2× 283 1.0× 308 1.2× 202 0.8× 193 0.9× 38 1.1k

Countries citing papers authored by C. E. Langenhop

Since Specialization
Citations

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

Fields of papers citing papers by C. E. Langenhop

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. E. Langenhop. 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 C. E. Langenhop. The network helps show where C. E. Langenhop may publish in the future.

Co-authorship network of co-authors of C. E. Langenhop

This figure shows the co-authorship network connecting the top 25 collaborators of C. E. Langenhop. A scholar is included among the top collaborators of C. E. Langenhop 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 C. E. Langenhop. C. E. Langenhop 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.
Langenhop, C. E. & William E. Wright. (1988). Certain Occupancy Numbers Via an Algorithm for Computing Their Ratios. SIAM Journal on Discrete Mathematics. 1(3). 360–371. 1 indexed citations
2.
Langenhop, C. E.. (1985). Periodic and almost periodic solutions of volterra integral differential equations with infinite memory. Journal of Differential Equations. 58(3). 391–403. 20 indexed citations
3.
Langenhop, C. E.. (1977). The inverse of a matrix polynomial. Linear Algebra and its Applications. 16(3). 267–284. 3 indexed citations
4.
Jacobs, Marc Q. & C. E. Langenhop. (1976). Criteria for Function Space Controllability of Linear Neutral Systems. SIAM Journal on Control and Optimization. 14(6). 1009–1048. 31 indexed citations
5.
Jacobs, Marc Q. & C. E. Langenhop. (1976). Controllable two dimensional neutral systems. Banach Center Publications. 1(1). 107–113. 2 indexed citations
6.
Banks, H. T., Marc Q. Jacobs, & C. E. Langenhop. (1975). Characterization of the Controlled States in $W_2^{(1)} $ of Linear Hereditary Systems. SIAM Journal on Control. 13(3). 611–649. 53 indexed citations
7.
Langenhop, C. E.. (1974). A row reduction of λ-matrices. Linear Algebra and its Applications. 9. 185–198. 4 indexed citations
8.
Langenhop, C. E.. (1973). On the invertibility of a nearly singular matrix. Linear Algebra and its Applications. 7(4). 361–365. 6 indexed citations
9.
Langenhop, C. E.. (1973). Differentiability of the distance to a set in Hilbert space. Journal of Mathematical Analysis and Applications. 44(3). 620–624. 2 indexed citations
10.
Langenhop, C. E.. (1971). On the Index of a Square Matrix. SIAM Journal on Applied Mathematics. 21(2). 191–194. 3 indexed citations
11.
Langenhop, C. E.. (1971). The Laurent expansion for a nearly singular matrix. Linear Algebra and its Applications. 4(4). 329–340. 37 indexed citations
12.
Langenhop, C. E.. (1964). On the stabilization of linear systems. Proceedings of the American Mathematical Society. 15(5). 735–742. 39 indexed citations
13.
Langenhop, C. E.. (1964). On the Stabilization of Linear Systems. Proceedings of the American Mathematical Society. 15(5). 735–735. 4 indexed citations
14.
Langenhop, C. E., et al.. (1964). Invariance of Probabilities in Finite Sample Spaces Under Stochastic Operations. American Mathematical Monthly. 71(8). 841–849. 1 indexed citations
15.
Langenhop, C. E.. (1960). On Bounded Matrices and Kinematic Similarity. Transactions of the American Mathematical Society. 97(2). 317–317. 3 indexed citations
16.
Langenhop, C. E.. (1960). Bounds on the norm of a solution of a general differential equation.. Proceedings of the American Mathematical Society. 11(5). 795–799. 36 indexed citations
17.
Langenhop, C. E.. (1960). On bounded matrices and kinematic similarity. Transactions of the American Mathematical Society. 97(2). 317–326. 6 indexed citations
18.
Langenhop, C. E., et al.. (1959). Almost Periodic Solutions of Second Order Nonlinear Differential Equations with Almost Periodic Forcing. Proceedings of the American Mathematical Society. 10(3). 425–425. 3 indexed citations
19.
Langenhop, C. E.. (1959). Note on Almost Periodic Solutions of Non‐Linear Differential Equations. Journal of Mathematics and Physics. 38(1-4). 126–129. 6 indexed citations
20.
Langenhop, C. E.. (1951). Note on Levinson's Existence Theorem for Forced Periodic Solutions of a Second Order Differential Equation. Journal of Mathematics and Physics. 30(1-4). 36–39. 6 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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