Rudolph E. Langer

4.1k total citations
28 papers, 766 citations indexed

About

Rudolph E. Langer is a scholar working on Numerical Analysis, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Rudolph E. Langer has authored 28 papers receiving a total of 766 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Numerical Analysis, 11 papers in Applied Mathematics and 3 papers in Statistical and Nonlinear Physics. Recurrent topics in Rudolph E. Langer's work include Differential Equations and Boundary Problems (10 papers), Numerical methods for differential equations (9 papers) and Differential Equations and Numerical Methods (9 papers). Rudolph E. Langer is often cited by papers focused on Differential Equations and Boundary Problems (10 papers), Numerical methods for differential equations (9 papers) and Differential Equations and Numerical Methods (9 papers). Rudolph E. Langer collaborates with scholars based in United States and Germany. Rudolph E. Langer's co-authors include Garrett Birkhoff, George H. Weiss, G. M. Clemence, C. Truesdell, Kenneth Krohn, T. S. Peterson, John Rhodes, Wolfgang Hahn, Jack K. Hale and Peter L. Balise and has published in prestigious journals such as Physics Today, Mathematics of Computation and Transactions of the American Mathematical Society.

In The Last Decade

Rudolph E. Langer

21 papers receiving 641 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Rudolph E. Langer United States 11 195 193 178 160 115 28 766
V. M. Volosov 7 260 1.3× 117 0.6× 194 1.1× 82 0.5× 123 1.1× 15 933
I.G. Nidekker 6 222 1.1× 188 1.0× 105 0.6× 85 0.5× 29 0.3× 7 780
Seymour Haber United States 14 447 2.3× 230 1.2× 395 2.2× 151 0.9× 80 0.7× 36 1.2k
A. V. Balakrishnan 2 182 0.9× 389 2.0× 227 1.3× 137 0.9× 227 2.0× 2 1.1k
P. M. Prenter United States 11 331 1.7× 125 0.6× 136 0.8× 284 1.8× 142 1.2× 25 1.1k
Dirk Jacobs United Kingdom 5 127 0.7× 105 0.5× 89 0.5× 184 1.1× 81 0.7× 6 633
P. M. Anselone United States 16 280 1.4× 348 1.8× 288 1.6× 225 1.4× 311 2.7× 40 955
D. V. Widder United States 15 191 1.0× 215 1.1× 566 3.2× 81 0.5× 355 3.1× 43 1.4k
Francesco G. Tricomi Italy 8 79 0.4× 79 0.4× 188 1.1× 51 0.3× 85 0.7× 23 569
G. J. Habetler United States 12 167 0.9× 233 1.2× 136 0.8× 182 1.1× 108 0.9× 26 658

Countries citing papers authored by Rudolph E. Langer

Since Specialization
Citations

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

Fields of papers citing papers by Rudolph E. Langer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rudolph E. Langer

This figure shows the co-authorship network connecting the top 25 collaborators of Rudolph E. Langer. A scholar is included among the top collaborators of Rudolph E. Langer 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 Rudolph E. Langer. Rudolph E. Langer 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.
Langer, Rudolph E., Alberto Cuoci, Ultan Burke, et al.. (2018). A Comparison of Numerical Frameworks for Modelling Homogenous Reactors and Laminar Flames. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 9–14. 2 indexed citations
2.
Krohn, Kenneth, Rudolph E. Langer, & John Rhodes. (1967). Algebraic principles for the analysis of a biochemical system. Journal of Computer and System Sciences. 1(2). 119–136. 26 indexed citations
3.
Langer, Rudolph E., et al.. (1961). Frontiers of Numerical Mathematics. Mathematics of Computation. 15(73). 106–106. 2 indexed citations
4.
Langer, Rudolph E.. (1959). Formal solutions and a related equation for a class of fourth order differential equations of a hydrodynamic type. Transactions of the American Mathematical Society. 92(3). 371–410. 10 indexed citations
5.
Birkhoff, Garrett & Rudolph E. Langer. (1959). Orbit Theory. 2 indexed citations
6.
Langer, Rudolph E.. (1959). Formal Solutions and a Related Equation For a Class of Fourth Order Differential Equations of a Hydrodynamic Type. Transactions of the American Mathematical Society. 92(3). 371–371. 1 indexed citations
7.
Birkhoff, Garrett & Rudolph E. Langer. (1959). Orbit theory : [proceedings of the Ninth Symposium in Applied Mathematics of the American Mathematical Society, held at New York University, April 4-6, 1957. American Mathematical Society eBooks. 7 indexed citations
8.
Langer, Rudolph E.. (1959). On numerical approximation : proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 21-23, 1958. University of Wisconsin Press eBooks. 1 indexed citations
9.
Langer, Rudolph E.. (1959). The asymptotic solutions of a linear differential equation of the second order with two turning points. Transactions of the American Mathematical Society. 90(1). 113–142. 32 indexed citations
10.
Langer, Rudolph E. & George H. Weiss. (1959). On Numerical Approximation. Physics Today. 12(10). 54–54. 149 indexed citations
11.
Langer, Rudolph E.. (1957). An Excerpt from the Works of Euler. American Mathematical Monthly. 64(8P2). 37–44. 1 indexed citations
12.
Langer, Rudolph E.. (1957). An Excerpt from the Works of Euler. American Mathematical Monthly. 64(8). 37–37. 1 indexed citations
13.
Langer, Rudolph E.. (1957). On the Asymptotic Solutions of a Class of Ordinary Differential Equations of the Fourth Order, with Special Reference to an Equation of Hydrodynamics. Transactions of the American Mathematical Society. 84(1). 144–144. 3 indexed citations
14.
Langer, Rudolph E.. (1956). On the Construction of Related Differential Equations. Transactions of the American Mathematical Society. 81(2). 394–394. 1 indexed citations
15.
16.
Langer, Rudolph E.. (1956). On the construction of related differential equations. Transactions of the American Mathematical Society. 81(2). 394–410. 6 indexed citations
17.
Langer, Rudolph E.. (1955). On the Asymptotic Forms of the Solutions of Ordinary Linear Differential Equations of the Third Order in a Region Containing a Turning Point. Transactions of the American Mathematical Society. 80(1). 93–93. 6 indexed citations
18.
Langer, Rudolph E.. (1955). The solutions of the differential equation v‴+λ2zv′+3μλ2v=0. Duke Mathematical Journal. 22(4). 26 indexed citations
19.
Peterson, T. S. & Rudolph E. Langer. (1954). Ordinary Differential Equations.. American Mathematical Monthly. 61(6). 437–437. 18 indexed citations
20.
Langer, Rudolph E.. (1954). A first course in ordinary differential equations. CERN Document Server (European Organization for Nuclear Research). 1 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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