G. Birkhoff

3.2k total citations · 1 hit paper
19 papers, 1.7k citations indexed

About

G. Birkhoff is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, G. Birkhoff has authored 19 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Numerical Analysis, 4 papers in Computational Mechanics and 3 papers in Computational Theory and Mathematics. Recurrent topics in G. Birkhoff's work include Iterative Methods for Nonlinear Equations (2 papers), Fluid Dynamics and Turbulent Flows (2 papers) and Numerical methods for differential equations (2 papers). G. Birkhoff is often cited by papers focused on Iterative Methods for Nonlinear Equations (2 papers), Fluid Dynamics and Turbulent Flows (2 papers) and Numerical methods for differential equations (2 papers). G. Birkhoff collaborates with scholars based in United States, Germany and Belarus. G. Birkhoff's co-authors include G.-C Rota, C. E. Langenhop, R. S. Varga, J. C. Burkill, Martin H. Schultz, William J. Gordon, Robert E. Barnhill, Blair Swartz, Burton Wendroff and Carl de Boor and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Econometrica and SIAM Journal on Numerical Analysis.

In The Last Decade

G. Birkhoff

17 papers receiving 1.4k citations

Hit Papers

align trajectories

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.

Ordinary Differential Equations.

1963 995 citations C. E. Langenhop, G. Birkhoff et al. American Mathematical Monthly profile →

Peers

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-authorship network of co-authors of G. Birkhoff

This figure shows the co-authorship network connecting the top 25 collaborators of G. Birkhoff. A scholar is included among the top collaborators of G. Birkhoff 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 G. Birkhoff. G. Birkhoff is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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19 of 19 papers shown

#	Work	Indexed citations
1	A mathematical critique of some physical theories 1999 ·Bulletin of the American Mathematical Society ·G. Birkhoff	2
2	Two families of Newman lattices 1994 ·Algebra Universalis ·M. K. Bennett, G. Birkhoff	18
3	Piecewise affine functions and polyhedral sets^∗ 1994 ·Optimization ·(unknown), (unknown), G. Birkhoff	23
4	Difference methods for solving convection-diffusion equations 1990 ·Computers & Mathematics with Applications ·G. Birkhoff, Eugene C. Gartland, Robert E. Lynch	13
5	Richard von Mises' Years at Harvard 1983 ·ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ·G. Birkhoff	1
6	Management of plutonium contaminated waste 1981 ·Medical Entomology and Zoology ·G. Birkhoff, (unknown)	3
7	Smooth interpolation in triangles 1973 ·Journal of Approximation Theory ·Robert E. Barnhill, G. Birkhoff, William J. Gordon	135
8	TRANSPORT THEORY. SIAM--AMS PROCEEDINGS HELD IN NEW YORK CITY, APRIL 5-- 8, 1967. VOLUME I. 1969 ·OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) ·Richard Bellman, G. Birkhoff, (unknown)	2
9	Piecewise Hermite interpolation in one and two variables with applications to partial differential equations 1968 ·Numerische Mathematik ·G. Birkhoff, Martin H. Schultz, R. S. Varga	179
10	Selected Papers of Richard von Mises 1966 ·Econometrica ·E. J. Gumbel, (unknown), (unknown), Mark Kac, William Prager, Gábor Szegő, G. Birkhoff	4
11	Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials 1966 ·SIAM Journal on Numerical Analysis ·G. Birkhoff, Carl de Boor, Blair Swartz, Burton Wendroff	74
12	Transition and Turbulence in Hypersonic Wakes 1966 ·The Physics of Fluids ·G. Birkhoff, (unknown), Warren R. McKay	9
13	The William Lowell Putnam Mathematical Competition: Early History 1965 ·American Mathematical Monthly ·G. Birkhoff	0
14	Ordinary Differential Equations 1964 ·The Mathematical Gazette ·J. C. Burkill, G. Birkhoff, G.-C Rota	180
15	Ordinary Differential Equations. breakdown → 1963 ·American Mathematical Monthly ·C. E. Langenhop, G. Birkhoff, G.-C Rota	995
16	Eine Kathodenstrahlröhre Zur Verfeinerung Der Digitalen Längenmessung Mittels Optischer Gitter Für Die Auswertung Von Kernspurplatten 1963 ·Nuclear Instruments and Methods ·G. Birkhoff, L. Bondár	0
17	Spherical Bubble Growth 1958 ·The Physics of Fluids ·G. Birkhoff, (unknown), (unknown)	83
18	Wall effects in cavity flow. II 1952 ·Quarterly of Applied Mathematics ·G. Birkhoff, M. S. Plesset, (unknown)	11
19	Effective Conformal Transformation of Smooth, Simply Connected Domains 1951 ·Proceedings of the National Academy of Sciences ·G. Birkhoff, David M. Young, Eduardo H. Zarantonello	4

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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