John Greenstadt

825 total citations
31 papers, 590 citations indexed

About

John Greenstadt is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, John Greenstadt has authored 31 papers receiving a total of 590 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 13 papers in Computational Theory and Mathematics and 12 papers in Computational Mechanics. Recurrent topics in John Greenstadt's work include Advanced Optimization Algorithms Research (11 papers), Iterative Methods for Nonlinear Equations (10 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). John Greenstadt is often cited by papers focused on Advanced Optimization Algorithms Research (11 papers), Iterative Methods for Nonlinear Equations (10 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). John Greenstadt collaborates with scholars based in United States, United Kingdom and Italy. John Greenstadt's co-authors include Alan H. Karp, J. A. Fillmore, Harry Eisenpress, A. R. Gourlay, Ken Brodlie, Lina M. López, Roland N. Horne, Emilio Spedicato and Mark W. Coffey and has published in prestigious journals such as Econometrica, Journal of Computational Physics and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

John Greenstadt

29 papers receiving 425 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
John Greenstadt United States	13	252	245	146	59	51	31	590
Terje O. Espelid Norway	12	143 0.6×	134 0.5×	132 0.9×	61 1.0×	25 0.5×	28	644
G. J. Habetler United States	12	167 0.7×	233 1.0×	182 1.2×	45 0.8×	19 0.4×	26	658
Melvin R. Scott United States	15	707 2.8×	321 1.3×	339 2.3×	71 1.2×	14 0.3×	43	1.1k
H.A. Watts United States	13	590 2.3×	262 1.1×	440 3.0×	85 1.4×	10 0.2×	27	1.1k
Robert Vichnevetsky United States	17	207 0.8×	97 0.4×	601 4.1×	88 1.5×	37 0.7×	65	1.1k
Dirk Jacobs United Kingdom	5	127 0.5×	105 0.4×	184 1.3×	48 0.8×	8 0.2×	6	633
Thomas Aird United Kingdom	4	86 0.3×	157 0.6×	97 0.7×	39 0.7×	21 0.4×	9	545
L. Machiels Switzerland	12	115 0.5×	78 0.3×	538 3.7×	146 2.5×	35 0.7×	18	835
P. Khademi United States	4	78 0.3×	101 0.4×	100 0.7×	21 0.4×	19 0.4×	4	343
E. N. Nilson United States	12	247 1.0×	90 0.4×	443 3.0×	72 1.2×	9 0.2×	20	866

Countries citing papers authored by John Greenstadt

Since Specialization

Citations

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

Fields of papers citing papers by John Greenstadt

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of John Greenstadt

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

All Works

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20 of 20 papers shown

Greenstadt, John. (2000). Reminiscences on the development of the variational approach to Davidon's variable-metric method. Mathematical Programming. 87(2). 265–280. 2 indexed citations

Greenstadt, John. (1999). Solution of wave propagation problems by the cell discretization method. Computer Methods in Applied Mechanics and Engineering. 174(1-2). 1–21. 7 indexed citations

Greenstadt, John. (1995). The removal of overshoot in P.D.E. solutions by the use of special basis functions. Computer Methods in Applied Mechanics and Engineering. 120(1-2). 45–64. 6 indexed citations

Greenstadt, John. (1993). Solution of Elliptic Systems of Partial Differential Equations by Cell Discretization. SIAM Journal on Scientific Computing. 14(3). 627–653. 1 indexed citations

Greenstadt, John. (1991). Cell Discretization of Nonselfadjoint Linear Elliptic Partial Differential Equations. SIAM Journal on Scientific and Statistical Computing. 12(5). 1074–1108. 12 indexed citations

Horne, Roland N., et al.. (1988). Improved Estimation Algorithms for Automated Type-Curve Analysis of Well Tests. SPE Formation Evaluation. 3(1). 186–196. 32 indexed citations

Greenstadt, John. (1985). A Quasi-Quasi-Newton Method for Generating Quasi-Choleski Factors. SIAM Journal on Scientific and Statistical Computing. 6(2). 425–437. 2 indexed citations

Greenstadt, John. (1984). The use of nonrational functions to represent steep front solutions to partial differential equations. Journal of Computational Physics. 53(2). 299–318. 8 indexed citations

Greenstadt, John. (1983). Recollections of the Technical Computing Bureau. 5(2). 149–152. 1 indexed citations

10.

Greenstadt, John. (1982). The Cell Discretization Algorithm for Elliptic Partial Differential Equations. SIAM Journal on Scientific and Statistical Computing. 3(3). 261–288. 18 indexed citations

11.

Greenstadt, John. (1978). Revision of a derivative-free quasi-Newton method. Mathematics of Computation. 32(141). 201–221. 2 indexed citations

12.

Brodlie, Ken, A. R. Gourlay, & John Greenstadt. (1973). Rank-one and Rank-two Corrections to Positive Definite Matrices Expressed in Product Form. IMA Journal of Applied Mathematics. 11(1). 73–82. 50 indexed citations

13.

Greenstadt, John. (1972). A Quasi-Newton Method with No Derivatives. Mathematics of Computation. 26(117). 145–145. 2 indexed citations

14.

Greenstadt, John. (1972). A quasi-Newton method with no derivatives. Mathematics of Computation. 26(117). 145–166. 16 indexed citations

15.

Greenstadt, John. (1970). Variations on variable-metric methods. (With discussion). Mathematics of Computation. 24(109). 1–22. 57 indexed citations

16.

Greenstadt, John. (1967). On the relative efficiencies of gradient methods. Mathematics of Computation. 21(99). 360–367. 89 indexed citations

17.

Greenstadt, John. (1967). On the Relative Efficiencies of Gradient Methods. Mathematics of Computation. 21(99). 360–360. 3 indexed citations

18.

Eisenpress, Harry & John Greenstadt. (1966). The Estimation of Nonlinear Econometric Systems. Econometrica. 34(4). 851–851. 39 indexed citations

19.

Greenstadt, John. (1955). A Method for Finding Roots of Arbitrary Matrices. Mathematical Tables and Other Aids to Computation. 9(50). 47–47. 21 indexed citations

20.

Greenstadt, John. (1955). A method for finding roots of arbitrary matrices. Mathematics of Computation. 9(50). 47–52. 21 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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