Donald Greenspan

5.5k total citations · 1 hit paper
126 papers, 4.0k citations indexed

About

Donald Greenspan is a scholar working on Computational Mechanics, Numerical Analysis and Statistical and Nonlinear Physics. According to data from OpenAlex, Donald Greenspan has authored 126 papers receiving a total of 4.0k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Computational Mechanics, 22 papers in Numerical Analysis and 18 papers in Statistical and Nonlinear Physics. Recurrent topics in Donald Greenspan's work include Numerical methods for differential equations (16 papers), Advanced Physical and Chemical Molecular Interactions (11 papers) and Differential Equations and Numerical Methods (10 papers). Donald Greenspan is often cited by papers focused on Numerical methods for differential equations (16 papers), Advanced Physical and Chemical Molecular Interactions (11 papers) and Differential Equations and Numerical Methods (10 papers). Donald Greenspan collaborates with scholars based in United States, Italy and Egypt. Donald Greenspan's co-authors include Brice Carnahan, James Wilkes, H. Luther, W.F. Ames, Robert A LaBudde, Seymour V. Parter, P. Werner, Olof B. Widlund, David Schultz and V Casulli and has published in prestigious journals such as The Journal of Chemical Physics, Journal of Computational Physics and Communications of the ACM.

In The Last Decade

Donald Greenspan

115 papers receiving 3.6k citations

Hit Papers

Applied Numerical Methods 1970 2026 1988 2007 1970 500 1000 1.5k 2.0k 2.5k
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. Applied Numerical Methods
    1970 2.6k citations Donald Greenspan et al. Mathematics of Computation profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Donald Greenspan United States 17 1.1k 699 679 536 437 126 4.0k
W.F. Ames United States 28 757 0.7× 558 0.8× 416 0.6× 604 1.1× 475 1.1× 137 4.4k
H.H. Rachford United States 11 1.7k 1.5× 507 0.7× 476 0.7× 1.1k 2.1× 418 1.0× 23 4.2k
J. Douglas Faires United States 5 802 0.7× 467 0.7× 378 0.6× 826 1.5× 457 1.0× 8 5.3k
A. H. Nayfeh United States 17 996 0.9× 490 0.7× 627 0.9× 553 1.0× 625 1.4× 42 4.4k
C. Reinsch Germany 14 677 0.6× 316 0.5× 326 0.5× 406 0.8× 228 0.5× 24 4.9k
R. C. DiPrima United States 22 1.5k 1.4× 398 0.6× 602 0.9× 242 0.5× 248 0.6× 49 3.9k
Leon Lapidus United States 27 845 0.8× 446 0.6× 613 0.9× 538 1.0× 145 0.3× 139 3.8k
F. B. Hildebrand United States 11 686 0.6× 427 0.6× 416 0.6× 483 0.9× 599 1.4× 13 4.4k
A.C. Hindmarsh United States 24 2.2k 2.0× 571 0.8× 705 1.0× 1.2k 2.2× 412 0.9× 55 7.4k
Julian D. Cole United States 22 2.5k 2.3× 615 0.9× 578 0.9× 1.4k 2.6× 929 2.1× 97 8.0k

Countries citing papers authored by Donald Greenspan

Since Specialization
Citations

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

Fields of papers citing papers by Donald Greenspan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Donald Greenspan

This figure shows the co-authorship network connecting the top 25 collaborators of Donald Greenspan. A scholar is included among the top collaborators of Donald Greenspan 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 Donald Greenspan. Donald Greenspan 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.
Greenspan, Donald. (2009). Computer studies of molecular air flow around a circular cylinder. Computers & Mathematics with Applications. 58(3). 414–421. 1 indexed citations
2.
Greenspan, Donald, et al.. (2006). Numerical Solution of Ordinary Differential Equations: For Classical, Relativistic and Nano Systems. CERN Document Server (European Organization for Nuclear Research). 12 indexed citations
3.
Greenspan, Donald. (1995). Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications. Rendiconti del Seminario Matematico e Fisico di Milano. 65(1). 63–87. 4 indexed citations
4.
Greenspan, Donald. (1993). Electron attraction and Newtonian methodology for approximating quantum mechanical phenomena. Computers & Mathematics with Applications. 25(6). 75–83. 3 indexed citations
5.
Greenspan, Donald. (1992). Molecular and quasimolecular modelling of solids and fluids. Systems Analysis Modelling Simulation. 11(2). 43–98. 1 indexed citations
6.
Greenspan, Donald. (1992). A particle model of ground state H2. Computers & Mathematics with Applications. 24(3). 45–48. 1 indexed citations
7.
Greenspan, Donald. (1991). The error in quasi-quatum mechanical calculations. Computers & Mathematics with Applications. 22(2). 73–79. 5 indexed citations
8.
Greenspan, Donald. (1988). Numerical Methods. 2 indexed citations
9.
Greenspan, Donald. (1987). Computer Files for Drop Formation. UTA ResearchCommons (University of Texas Arlington). 2 indexed citations
10.
Greenspan, Donald. (1983). Computer-oriented, n-body modelling of minimal surfaces. Applied Mathematical Modelling. 7(6). 423–426. 1 indexed citations
11.
Greenspan, Donald. (1982). Deterministic computer physics. International Journal of Theoretical Physics. 21(6-7). 505–523. 6 indexed citations
12.
Greenspan, Donald. (1981). A new computer approach to the modelling of atoms and molecules Part II. The oxygen molecule O2. Journal of Computational and Applied Mathematics. 7(2). 129–133. 2 indexed citations
13.
Greenspan, Donald. (1977). Computer studies of interactions of particles with differing masses. Journal of Computational and Applied Mathematics. 3(3). 145–154. 4 indexed citations
14.
Greenspan, Donald. (1974). An arithmetic, particle theory of fluid dynamics. Computer Methods in Applied Mechanics and Engineering. 3(3). 293–303. 7 indexed citations
15.
Greenspan, Donald. (1971). A Discrete Numerical Approach to Fluid Dynamics.. IFIP Congress. 1297–1304. 4 indexed citations
16.
Greenspan, Donald. (1968). Approximate solution of initial-boundary wave equation problems by boundary-value techniques. Communications of the ACM. 11(11). 760–763. 11 indexed citations
17.
Greenspan, Donald, et al.. (1967). Application of a method for approximating extremals of functionals to compressible subsonic fluid flows. Journal of Mathematical Analysis and Applications. 18(1). 85–111. 9 indexed citations
18.
Greenspan, Donald. (1957). On a “best” 9-point difference equation analogue of Laplace equation. Journal of the Franklin Institute. 263(5). 425–430. 6 indexed citations
19.
Greenspan, Donald. (1957). On the numerical evaluation of the Stokes’ stream function. Mathematics of Computation. 11(59). 150–160. 2 indexed citations
20.
Greenspan, Donald. (1955). Methods of Matrix Inversion. American Mathematical Monthly. 62(5). 303–303. 7 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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