Gilbert Stengle

834 total citations
29 papers, 451 citations indexed

About

Gilbert Stengle is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Gilbert Stengle has authored 29 papers receiving a total of 451 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Computational Theory and Mathematics, 11 papers in Applied Mathematics and 7 papers in Mathematical Physics. Recurrent topics in Gilbert Stengle's work include Polynomial and algebraic computation (5 papers), Advanced Topics in Algebra (5 papers) and Mathematics and Applications (4 papers). Gilbert Stengle is often cited by papers focused on Polynomial and algebraic computation (5 papers), Advanced Topics in Algebra (5 papers) and Mathematics and Applications (4 papers). Gilbert Stengle collaborates with scholars based in United States, Germany and Spain. Gilbert Stengle's co-authors include Bennett Eisenberg, Gilbert Strang, Yuliy Baryshnikov, J. E. Yukich, Paweł Hitczenko, T. J. Delph and Ludwig Bröcker and has published in prestigious journals such as Mathematics of Computation, The Annals of Statistics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Gilbert Stengle

22 papers receiving 404 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gilbert Stengle United States	9	179	116	79	70	68	29	451
R.B. Bapat India	11	160 0.9×	44 0.4×	76 1.0×	27 0.4×	22 0.3×	27	428
P. H. Diananda Singapore	11	136 0.8×	83 0.7×	33 0.4×	65 0.9×	22 0.3×	28	469
Antoni Zygmund United States	6	108 0.6×	60 0.5×	83 1.1×	157 2.2×	74 1.1×	11	669
A. A. Nudel’man Germany	4	124 0.7×	74 0.6×	25 0.3×	145 2.1×	36 0.5×	7	484
R. Fortet France	8	58 0.3×	43 0.4×	61 0.8×	66 0.9×	37 0.5×	27	363
Hristo S. Sendov Canada	9	198 1.1×	142 1.2×	31 0.4×	45 0.6×	18 0.3×	34	375
S. P. Lloyd Australia	10	87 0.5×	24 0.2×	148 1.9×	210 3.0×	48 0.7×	18	615
Grigori Litvinov Russia	6	231 1.3×	36 0.3×	31 0.4×	35 0.5×	22 0.3×	10	323
Yuly Makovoz United States	5	83 0.5×	170 1.5×	177 2.2×	47 0.7×	45 0.7×	6	558
D. B. Hunter United Kingdom	10	81 0.5×	122 1.1×	40 0.5×	22 0.3×	16 0.2×	28	466

Countries citing papers authored by Gilbert Stengle

Since Specialization

Citations

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

Fields of papers citing papers by Gilbert Stengle

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gilbert Stengle

This figure shows the co-authorship network connecting the top 25 collaborators of Gilbert Stengle. A scholar is included among the top collaborators of Gilbert Stengle 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 Gilbert Stengle. Gilbert Stengle 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

Stengle, Gilbert, et al.. (2011). A semialgebraic closure for commutative algebra. Journal of Pure and Applied Algebra. 215(9). 2257–2261.

Stengle, Gilbert, et al.. (2009). Convex polarities over ordered fields. Journal of Pure and Applied Algebra. 214(4). 370–379. 2 indexed citations

Stengle, Gilbert, et al.. (2006). Alternative evidence for nonnegativity. Journal of Pure and Applied Algebra. 208(3). 989–992.

Hitczenko, Paweł & Gilbert Stengle. (2000). Expected Number of Distinct Part Sizes in a Random Integer Composition. Combinatorics Probability Computing. 9(6). 519–527. 9 indexed citations

Eisenberg, Bennett & Gilbert Stengle. (1996). Minimizing the Probability of a Tie for First Place. Journal of Mathematical Analysis and Applications. 198(2). 458–472. 2 indexed citations

Stengle, Gilbert. (1996). Complexity Estimates for the Schmüdgen Positivstellensatz. Journal of Complexity. 12(2). 167–174. 24 indexed citations

Baryshnikov, Yuliy, Bennett Eisenberg, & Gilbert Stengle. (1995). A necessary and sufficient condition for the existence of the limiting probability of a tie for first place. Statistics & Probability Letters. 23(3). 203–209. 30 indexed citations

Stengle, Gilbert. (1995). Error analysis of a randomized numerical method. Numerische Mathematik. 70(1). 119–128. 22 indexed citations

Stengle, Gilbert, et al.. (1994). The spherical spectrum of a graded ring. Geometriae Dedicata. 52(2). 195–208. 2 indexed citations

10.

Eisenberg, Bennett, Gilbert Stengle, & Gilbert Strang. (1993). The Asymptotic Probability of a Tie for First Place. The Annals of Applied Probability. 3(3). 39 indexed citations

11.

Stengle, Gilbert. (1990). Numerical methods for systems with measurable coefficients. Applied Mathematics Letters. 3(4). 25–29. 18 indexed citations

12.

Stengle, Gilbert. (1989). Chebyshev interpolation with approximate nodes of unrestricted multiplicity. Journal of Approximation Theory. 57(1). 1–13. 5 indexed citations

13.

Stengle, Gilbert & J. E. Yukich. (1989). Some New Vapnik-Chervonenkis Classes. The Annals of Statistics. 17(4). 12 indexed citations

14.

Stengle, Gilbert. (1988). Weierstrass preparation of quadratic differentials. Aequationes Mathematicae. 35(1). 45–54.

15.

Stengle, Gilbert. (1977). Asymptotic Estimates for the Adiabatic Invariance of a Simple Oscillator. SIAM Journal on Mathematical Analysis. 8(4). 640–654. 5 indexed citations

16.

Stengle, Gilbert. (1974). A nullstellensatz and a positivstellensatz in semialgebraic geometry. Mathematische Annalen. 207(2). 87–97. 242 indexed citations

17.

Stengle, Gilbert. (1971). A new basis for uniform asymptotic solution of differential equations containing one or several parameters. Transactions of the American Mathematical Society. 156(0). 1–43. 3 indexed citations

18.

Stengle, Gilbert, et al.. (1969). An application ofK-theory to the global analysis of matrix valued functions. Mathematische Annalen. 179(2). 115–122. 2 indexed citations

19.

Stengle, Gilbert. (1969). Uniform asymptotic solution of second order linear differential equations without turning varieties. Mathematics of Computation. 23(105). 1–22. 7 indexed citations

20.

Stengle, Gilbert. (1968). A divergence theorem for Gaussian stochastic process expectations. Journal of Mathematical Analysis and Applications. 21(3). 537–546. 4 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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