S. A. Nelson

1.1k total citations
18 papers, 839 citations indexed

About

S. A. Nelson is a scholar working on Applied Mathematics, Mechanics of Materials and Computational Mechanics. According to data from OpenAlex, S. A. Nelson has authored 18 papers receiving a total of 839 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Applied Mathematics, 6 papers in Mechanics of Materials and 5 papers in Computational Mechanics. Recurrent topics in S. A. Nelson's work include Numerical methods in engineering (5 papers), Medical Imaging Techniques and Applications (4 papers) and Advanced Numerical Analysis Techniques (4 papers). S. A. Nelson is often cited by papers focused on Numerical methods in engineering (5 papers), Medical Imaging Techniques and Applications (4 papers) and Advanced Numerical Analysis Techniques (4 papers). S. A. Nelson collaborates with scholars based in United States, Canada and United Kingdom. S. A. Nelson's co-authors include W. R. Madych, Rolland L. Hardy, Athena Makroglou, E.A. Galperin, E.J. Kansa and L. E. Payne and has published in prestigious journals such as Geophysical Research Letters, Mathematics of Computation and SIAM Review.

In The Last Decade

S. A. Nelson

16 papers receiving 733 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
S. A. Nelson United States	10	485	362	169	166	146	18	839
W. R. Madych United States	14	651 1.3×	554 1.5×	455 2.7×	205 1.2×	148 1.0×	57	1.4k
Scott A. Sarra United States	13	636 1.3×	388 1.1×	53 0.3×	191 1.2×	218 1.5×	26	917
Will Light United Kingdom	11	221 0.5×	283 0.8×	129 0.8×	79 0.5×	37 0.3×	21	703
R. Glowinski France	14	425 0.9×	683 1.9×	99 0.6×	163 1.0×	17 0.1×	44	1.2k
A. Charafi United Kingdom	11	234 0.5×	177 0.5×	58 0.3×	107 0.6×	54 0.4×	18	689
Zi‐Cai Li Taiwan	19	954 2.0×	724 2.0×	82 0.5×	309 1.9×	108 0.7×	125	1.4k
Blair Swartz United States	16	227 0.5×	942 2.6×	142 0.8×	631 3.8×	87 0.6×	45	1.4k
Dambaru Bhatta United States	13	141 0.3×	309 0.9×	187 1.1×	169 1.0×	296 2.0×	41	1.0k
J. S. Shipman United States	12	114 0.2×	168 0.5×	81 0.5×	312 1.9×	108 0.7×	25	950
Hojatollah Adibi Iran	20	430 0.9×	160 0.4×	156 0.9×	354 2.1×	493 3.4×	66	1.0k

Countries citing papers authored by S. A. Nelson

Since Specialization

Citations

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

Fields of papers citing papers by S. A. Nelson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by S. A. Nelson. 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 S. A. Nelson. The network helps show where S. A. Nelson may publish in the future.

Co-authorship network of co-authors of S. A. Nelson

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

All Works

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18 of 18 papers shown

Galperin, E.A., E.J. Kansa, Athena Makroglou, & S. A. Nelson. (2000). Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations. Journal of Computational and Applied Mathematics. 115(1-2). 193–211. 42 indexed citations

Galperin, E.A., E.J. Kansa, Athena Makroglou, & S. A. Nelson. (1997). Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel. Nonlinear Analysis. 30(3). 1505–1513. 8 indexed citations

Madych, W. R. & S. A. Nelson. (1992). Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. Journal of Approximation Theory. 70(1). 94–114. 170 indexed citations

Nelson, S. A., et al.. (1992). Solutions to x−axb=w. Linear Algebra and its Applications. 165. 229–232. 1 indexed citations

Madych, W. R. & S. A. Nelson. (1990). Polyharmonic cardinal splines: A minimization property. Journal of Approximation Theory. 63(3). 303–320. 17 indexed citations

Madych, W. R. & S. A. Nelson. (1990). Polyharmonic cardinal splines. Journal of Approximation Theory. 60(2). 141–156. 69 indexed citations

Madych, W. R. & S. A. Nelson. (1990). Multivariate interpolation and conditionally positive definite functions. II. Mathematics of Computation. 54(189). 211–230. 415 indexed citations

Nelson, S. A.. (1987). Defining the Sign of a Permutation. American Mathematical Monthly. 94(6). 543–543. 1 indexed citations

Hardy, Rolland L. & S. A. Nelson. (1986). A multiquadric‐biharmonic representation and approximation of disturbing potential. Geophysical Research Letters. 13(1). 18–21. 36 indexed citations

10.

Madych, W. R. & S. A. Nelson. (1986). Reconstruction from Restricted Radon Transform Data: Resolution and Ill-Conditionedness. SIAM Journal on Mathematical Analysis. 17(6). 1447–1453. 9 indexed citations

11.

Madych, W. R., S. A. Nelson, & L. E. Payne. (1985). Radial sums of ridge functions: A characterization. Mathematical Methods in the Applied Sciences. 7(1). 90–100.

12.

Madych, W. R. & S. A. Nelson. (1983). Polynomial Based Algorithms for Computed Tomography. SIAM Journal on Applied Mathematics. 43(1). 157–185. 14 indexed citations

13.

Madych, W. R. & S. A. Nelson. (1982). Characterization of tomographic reconstructions which commute with rigid motions. Journal of Functional Analysis. 46(2). 258–263. 3 indexed citations

14.

Nelson, S. A., et al.. (1971). Mixed arithmetic and geometric means. Pacific Journal of Mathematics. 38(2). 343–349. 36 indexed citations

15.

Nelson, S. A., et al.. (1971). An Inequality of Mixed Arithmetic and Geometric Means (B. C. Carlson). SIAM Review. 13(2). 253–255. 1 indexed citations

16.

Nelson, S. A.. (1971). 𝐿² asymptotes for Fourier transforms of surface- carried measures. Proceedings of the American Mathematical Society. 28(1). 134–136. 2 indexed citations

17.

Nelson, S. A.. (1971). 𝐿² asymptotes for the Klein-Gordon equation. Proceedings of the American Mathematical Society. 27(1). 110–116. 4 indexed citations

18.

Nelson, S. A.. (1971). On some solutions to the Klein-Gordon equation related to an integral of Sonine. Transactions of the American Mathematical Society. 154. 227–227. 11 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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