G. Birkhoff

3.3k citations
21 papers · 2.0k · 1 hit paper · h-index 11

Impact in

    • Differential Equations and Numerical Methods
    • Numerical methods for differential equations
    • Nonlinear Differential Equations Analysis
    • Differential Equations and Boundary Problems

Papers in

G. Birkhoff

19 papers receiving 1.7k citations

G. Birkhoff's Hit Papers

Ordinary Differential Equations. 1963 · 1.1k citations
1.1k0+21+42Years since publication2505007501000

Peers

G. Birkhoff
Comparison fields: 5 of 126
  • Numerical Analysis 383
  • Applied Mathematics 475
  • Mathematical Physics 293
  • Modeling and Simulation 131
  • Computational Mechanics 500
Replace V. М. Tikhomirov with:
V. М. Tikhomirov Russia
J. W. Craggs United Kingdom
G.-C Rota United States
Karl Zeller Germany
J. M. Varah Canada
Solomon G. Mikhlin Russia
Joel L. Brenner United States
Hans J. Stetter Austria
Nicholas D. Kazarinoff United States
Avner Friedman United States
G. Birkhoff relative to V. М. Tikhomirov Russia V. М. Tikhomirov's profile →
Citations per field
00.5×1.5×
V. М. Tikhomirov · 1×
Citations per year

Countries citing papers authored by G. Birkhoff

Since Specialization
Citations

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

Fields of papers citing papers by G. Birkhoff

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside G. Birkhoff, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with G. Birkhoff Line = papers co-authored together G. Birkhoff links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 21 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Ordinary Differential Equations.
Hit paper breakdown →
19631062
2 1968217
3 1964187
4 1973169
5 195898
6
On splines and their minimum properties
196695
7 196687
8 199429
9 199426
10 199013
11 195212
12 196610
13 19665
14 19514
15 19733
16
Management of plutonium contaminated waste
19813
17 19992
18
TRANSPORT THEORY. SIAM--AMS PROCEEDINGS HELD IN NEW YORK CITY, APRIL 5-- 8, 1967. VOLUME I.
19692
19 19832
20 19650

About G. Birkhoff

G. Birkhoff is a scholar working on Numerical Analysis, Computational Theory and Mathematics, Applied Mathematics, Computational Mechanics and Geometry and Topology, having authored 21 papers that have together received 2.0k indexed citations. Recurring topics across this work include Mathematical functions and polynomials (2 papers), Iterative Methods for Nonlinear Equations (2 papers), Fluid Dynamics and Turbulent Flows (2 papers), Numerical methods for differential equations (2 papers), History and Theory of Mathematics (1 paper), Commutative Algebra and Its Applications (1 paper), Particle Accelerators and Free-Electron Lasers (1 paper) and Differential Equations and Numerical Methods (1 paper). The work is most often cited by research in Numerical Analysis (383 citations), Applied Mathematics (475 citations), Mathematical Physics (293 citations), Modeling and Simulation (131 citations) and Computational Mechanics (500 citations). G. Birkhoff has collaborated with scholars based in United States, Germany and France. Frequent co-authors include G.-C Rota, C. E. Langenhop, Richard S. Varga, Martin H. Schultz, John Charles Burkill, Robert E. Barnhill, William J. Gordon, Carl de Boor, Robert E. Lynch and Burton Wendroff. Their work appears in journals such as Bulletin of the American Mathematical Society, Computers & Mathematics with Applications, Journal of Approximation Theory, Optimization and SIAM Journal on Numerical Analysis.

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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