Richard Courant

20.3k total citations · 5 hit papers
44 papers, 6.8k citations indexed

About

Richard Courant is a scholar working on Theoretical Computer Science, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Richard Courant has authored 44 papers receiving a total of 6.8k indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Theoretical Computer Science, 6 papers in Applied Mathematics and 4 papers in Numerical Analysis. Recurrent topics in Richard Courant's work include History and Theory of Mathematics (7 papers), Differential Equations and Boundary Problems (4 papers) and Mathematics Education and Teaching Techniques (4 papers). Richard Courant is often cited by papers focused on History and Theory of Mathematics (7 papers), Differential Equations and Boundary Problems (4 papers) and Mathematics Education and Teaching Techniques (4 papers). Richard Courant collaborates with scholars based in United States, United Kingdom and Slovakia. Richard Courant's co-authors include David Hilbert, Hans Lewy, Kurt Friedrichs, T. Teichmann, Eugene Isaacson, Mina Rees, Fritz John, Herbert Robbins, J. B. Díaz and Peter D. Lax and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physics Today and Mathematics of Computation.

In The Last Decade

Richard Courant

42 papers receiving 6.0k citations

Hit Papers

On the Partial Difference Equations of Mathematical Physics 1952 2026 1976 2001 1967 1962 1952 1964 1954 500 1000 1.5k
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. On the Partial Difference Equations of Mathematical Physics
    1967 1.7k citations Richard Courant, Kurt Friedrichs et al. IBM Journal of Research and Development profile →
  2. Methods of Mathematical Physics
    1962 1.1k citations Richard Courant, David Hilbert et al. profile →
  3. On the solution of nonlinear hyperbolic differential equations by finite differences
    1952 683 citations Richard Courant, Eugene Isaacson et al. Communications on Pure and Applied Mathematics profile →
  4. Methods of Mathematical Physics
    1964 495 citations J. B. Díaz, Richard Courant et al. Mathematics of Computation profile →
  5. Methods of Mathematical Physics, Vol. I
    1954 460 citations Richard Courant, David Hilbert profile →

Peers

Richard Courant
Kurt Friedrichs United States
Robert D. Richtmyer United States
Jacques E. Romain United States
Philip J. Davis United States
Julian D. Cole United States
Eugene Isaacson United States
Wolfgang Wasow United States
David Hilbert United States
Herbert B. Keller United States
Roland Bulirsch Germany
Kurt Friedrichs United States
Richard Courant
Citations per year, relative to Richard Courant Richard Courant (= 1×) peers Kurt Friedrichs

Countries citing papers authored by Richard Courant

Since Specialization
Citations

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

Fields of papers citing papers by Richard Courant

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Richard Courant

This figure shows the co-authorship network connecting the top 25 collaborators of Richard Courant. A scholar is included among the top collaborators of Richard Courant 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 Richard Courant. Richard Courant 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.
Courant, Richard & Herbert Robbins. (2001). Was ist Mathematik?. 9 indexed citations
2.
Courant, Richard & Fritz John. (1999). Introduction to Calculus and Analysis. CERN Document Server (European Organization for Nuclear Research). 56 indexed citations
3.
Courant, Richard & Herbert Robbins. (1996). What Is Mathematics?. xxi–xxiii. 240 indexed citations
4.
Courant, Richard & E. J. McShane. (1988). Differential and Integral Calculus. 12 indexed citations
5.
Alexanderson, Gerald L., Richard Courant, & Herbert Robbins. (1979). What Is Mathematics?. The Two-Year College Mathematics Journal. 10(1). 40–40. 26 indexed citations
6.
Courant, Richard. (1971). Vorlesungen über Differential- und Integralrechnung. 1 indexed citations
7.
Courant, Richard & David Hilbert. (1968). Methoden der Mathematischen Physik I. Heidelberger Taschenbücher. 186 indexed citations
8.
Courant, Richard, Kurt Friedrichs, & Hans Lewy. (1967). On the Partial Difference Equations of Mathematical Physics. IBM Journal of Research and Development. 11(2). 215–234. 1746 indexed citations breakdown →
9.
Courant, Richard, et al.. (1966). Introduction to Calculus and Analysis. Mathematics of Computation. 20(96). 634–634. 8 indexed citations
10.
Courant, Richard. (1965). Dedication to James J. Stoker. Communications on Pure and Applied Mathematics. 18(1-2). 1–3. 1 indexed citations
11.
Courant, Richard & Fritz John. (1965). Introduction to Calculus and Analysis Vol 1. 3 indexed citations
12.
Bergmann, Peter G., Richard Courant, & David Hilbert. (1964). Methods of Mathematical Physics, Vol. II: Partial Differential Equations.. American Mathematical Monthly. 71(3). 338–338. 17 indexed citations
13.
Díaz, J. B., Richard Courant, & David Hilbert. (1964). Methods of Mathematical Physics. Mathematics of Computation. 18(88). 680–680. 495 indexed citations breakdown →
14.
Courant, Richard, Jürgen Moser, Martin D. Kruskal, & Herman Rubin. (1962). Calculus of variations and supplementary notes and exercises, 1945-1946. 29 indexed citations
15.
Carrier, G. F., et al.. (1962). Applied Mathematics what is Needed in Research and Education. SIAM Review. 4(4). 297–320. 6 indexed citations
16.
Courant, Richard. (1961). Cauchy's problem for hyperbolic quasi‐linear systems of first order partial differential equations in two independent variables. Communications on Pure and Applied Mathematics. 14(3). 257–265. 6 indexed citations
17.
Courant, Richard & Herbert Robbins. (1958). What is mathematics: an elementary approach to ideas and methods. CERN Document Server (European Organization for Nuclear Research). 149 indexed citations
18.
Courant, Richard. (1957). Franz Rellich zum Gedächtnis. Mathematische Annalen. 133(3). 185–190. 2 indexed citations
19.
Courant, Richard, et al.. (1954). Methods of Mathematical Physics. American Journal of Physics. 22(4). 241–242.
20.
Courant, Richard, Eugene Isaacson, & Mina Rees. (1952). On the solution of nonlinear hyperbolic differential equations by finite differences. Communications on Pure and Applied Mathematics. 5(3). 243–255. 683 indexed citations breakdown →

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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