Alan Feldstein

775 total citations
30 papers, 533 citations indexed

About

Alan Feldstein is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Alan Feldstein has authored 30 papers receiving a total of 533 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Numerical Analysis, 15 papers in Computational Theory and Mathematics and 7 papers in Applied Mathematics. Recurrent topics in Alan Feldstein's work include Numerical methods for differential equations (11 papers), Differential Equations and Numerical Methods (9 papers) and Numerical Methods and Algorithms (7 papers). Alan Feldstein is often cited by papers focused on Numerical methods for differential equations (11 papers), Differential Equations and Numerical Methods (9 papers) and Numerical Methods and Algorithms (7 papers). Alan Feldstein collaborates with scholars based in United States, United Kingdom and Cyprus. Alan Feldstein's co-authors include Richard K. Miller, Richard H. Goodman, Yang Kuang, Z. Jackiewicz, Yunkang Liu, Rosemary A. Renaut, Peter Turner, Arieh Iserles, J. Bustoz and David Levin and has published in prestigious journals such as Mathematics of Computation, Journal of the ACM and SIAM Journal on Numerical Analysis.

In The Last Decade

Alan Feldstein

25 papers receiving 444 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alan Feldstein United States	14	319	156	150	132	60	30	533
Hongjiong Tian China	14	389 1.2×	140 0.9×	148 1.0×	90 0.7×	46 0.8×	46	496
Zanariah Abdul Majid Malaysia	13	457 1.4×	270 1.7×	102 0.7×	37 0.3×	86 1.4×	130	636
H. Saberi Najafi Iran	15	258 0.8×	184 1.2×	249 1.7×	57 0.4×	25 0.4×	68	580
George R. Spalding United States	6	96 0.3×	80 0.5×	41 0.3×	169 1.3×	25 0.4×	11	342
Dang Duc Trong Vietnam	15	109 0.3×	162 1.0×	325 2.2×	215 1.6×	49 0.8×	84	700
Gregory Derfel Israel	9	126 0.4×	116 0.7×	63 0.4×	152 1.2×	51 0.8×	23	347
Jürgen Appell Germany	12	165 0.5×	180 1.2×	292 1.9×	656 5.0×	39 0.7×	56	978
Roman Wituła Poland	11	121 0.4×	173 1.1×	71 0.5×	79 0.6×	28 0.5×	79	484
Tzanko Donchev Bulgaria	12	120 0.4×	96 0.6×	204 1.4×	251 1.9×	11 0.2×	65	435
S.P. Qian China	12	251 0.8×	209 1.3×	77 0.5×	126 1.0×	36 0.6×	27	497

Countries citing papers authored by Alan Feldstein

Since Specialization

Citations

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

Fields of papers citing papers by Alan Feldstein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alan Feldstein

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

Feldstein, Alan & J. F. Traub. (2018). Order of vector recurrences with applications to nonlinear iteration, parallel algorithms, and the power method. Research Showcase @ Carnegie Mellon University (Carnegie Mellon University).

Feldstein, Alan, et al.. (2005). Sharpness results for state dependent delay differential equations: An overview. Applied Numerical Mathematics. 56(3-4). 472–487. 5 indexed citations

Feldstein, Alan & Yunkang Liu. (1998). On neutral functional-differential equations with variable time delays. Mathematical Proceedings of the Cambridge Philosophical Society. 124(2). 371–384. 29 indexed citations

Kim, Young Ik & Alan Feldstein. (1997). Bifurcation and k-cycles of a finite-dimensional iterative map, with applications to logistic delay equations. Applied Numerical Mathematics. 24(2-3). 411–424. 3 indexed citations

Feldstein, Alan & Peter Turner. (1996). Overflow and underflow in multiplication and division. Applied Numerical Mathematics. 21(3). 221–239.

Feldstein, Alan, Arieh Iserles, & David Levin. (1995). Embedding of Delay Equations into an Infinite-Dimensional ODE System. Journal of Differential Equations. 117(1). 127–150. 12 indexed citations

Kuang, Yang & Alan Feldstein. (1991). Boundedness of solutions of a nonlinear nonautonomous neutral delay equation. Journal of Mathematical Analysis and Applications. 156(1). 293–304. 43 indexed citations

Jackiewicz, Z., Rosemary A. Renaut, & Alan Feldstein. (1991). Two-Step Runge–Kutta Methods. SIAM Journal on Numerical Analysis. 28(4). 1165–1182. 37 indexed citations

Kuang, Yang & Alan Feldstein. (1990). Monotonic and Oscillatory Solutions of a Linear Neutral Delay Equation with Infinite Lag. SIAM Journal on Mathematical Analysis. 21(6). 1633–1641. 20 indexed citations

10.

Feldstein, Alan & Z. Jackiewicz. (1990). Unstable Neutral Fuctional Differential Equations. Canadian Mathematical Bulletin. 33(4). 428–433. 13 indexed citations

11.

Feldstein, Alan & Peter Turner. (1986). Overflow, Underflow, and Severe Loss of Significance in Floating-Point Addition and Subtraction. IMA Journal of Numerical Analysis. 6(2). 241–251. 13 indexed citations

12.

Goodman, Richard H., Alan Feldstein, & J. Bustoz. (1985). Relative error in floating-point multiplication. Computing. 35(2). 127–139. 3 indexed citations

13.

Goodman, Richard H. & Alan Feldstein. (1977). Effect of guard digits and normalization options on floating point multiplication. Computing. 18(2). 93–106. 7 indexed citations

14.

Feldstein, Alan, et al.. (1977). Asymptotic behavior of vector recurrences with applications. Mathematics of Computation. 31(137). 180–192. 2 indexed citations

15.

Feldstein, Alan, et al.. (1976). Characterization of jump discontinuities for state dependent delay differential equations. Journal of Mathematical Analysis and Applications. 56(3). 689–707. 41 indexed citations

16.

Goodman, Richard H. & Alan Feldstein. (1975). Round-off error in products. Computing. 15(3). 263–273. 13 indexed citations

17.

Feldstein, Alan & Richard H. Goodman. (1973). Numerical solution of ordinary and retarded differntial equations with discontinuou derivatives. Numerische Mathematik. 21(1). 1–13. 31 indexed citations

18.

Feldstein, Alan & Richard K. Miller. (1971). Error Bounds for Compound Quadrature of Weakly Singular Integrals. Mathematics of Computation. 25(115). 505–505. 2 indexed citations

19.

Feldstein, Alan & Richard K. Miller. (1971). Error bounds for compound quadrature of weakly singular integrals. Mathematics of Computation. 25(115). 505–520. 4 indexed citations

20.

Feldstein, Alan, et al.. (1969). A study of Ostrowski efficiency for composite iteration algorithms. 147–155. 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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