R.E. Carlson

3.5k total citations · 1 hit paper
23 papers, 2.6k citations indexed

About

R.E. Carlson is a scholar working on Computational Mechanics, Mechanics of Materials and Numerical Analysis. According to data from OpenAlex, R.E. Carlson has authored 23 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Computational Mechanics, 11 papers in Mechanics of Materials and 5 papers in Numerical Analysis. Recurrent topics in R.E. Carlson's work include Advanced Numerical Analysis Techniques (17 papers), Numerical methods in engineering (10 papers) and Advanced Numerical Methods in Computational Mathematics (5 papers). R.E. Carlson is often cited by papers focused on Advanced Numerical Analysis Techniques (17 papers), Numerical methods in engineering (10 papers) and Advanced Numerical Methods in Computational Mathematics (5 papers). R.E. Carlson collaborates with scholars based in United States and Japan. R.E. Carlson's co-authors include F.N. Fritsch, Thomas A. Foley, E.J. Kansa, Charles A. Hall, B. K. Natarajan and Wan-Lin Chang and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Computers & Mathematics with Applications and Numerische Mathematik.

In The Last Decade

R.E. Carlson

20 papers receiving 2.3k citations

Hit Papers

align trajectories

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.

Monotone Piecewise Cubic Interpolation

1980 1.7k citations F.N. Fritsch, R.E. Carlson SIAM Journal on Numerical Analysis profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
R.E. Carlson United States	11	787	460	284	241	240	23	2.6k
F.N. Fritsch United States	10	640 0.8×	139 0.3×	275 1.0×	224 0.9×	199 0.8×	20	2.5k
Martin Buhmann Germany	20	936 1.2×	866 1.9×	272 1.0×	379 1.6×	250 1.0×	61	2.5k
Rolland L. Hardy United States	8	899 1.1×	1.3k 2.9×	174 0.6×	221 0.9×	242 1.0×	17	2.9k
David R. Kincaid United States	18	486 0.6×	166 0.4×	204 0.7×	474 2.0×	442 1.8×	57	3.5k
Ward Cheney United States	10	402 0.5×	209 0.5×	176 0.6×	314 1.3×	284 1.2×	14	2.2k
Hiroshi Akima United States	14	498 0.6×	137 0.3×	204 0.7×	74 0.3×	213 0.9×	27	2.8k
R. K. Beatson New Zealand	22	1.7k 2.1×	604 1.3×	792 2.8×	181 0.8×	215 0.9×	55	3.1k
K. Šalkauskas Canada	7	1.0k 1.3×	1.5k 3.3×	214 0.8×	112 0.5×	341 1.4×	15	2.7k
Martin Berzins United States	29	1.3k 1.7×	420 0.9×	57 0.2×	245 1.0×	180 0.8×	147	2.8k
Olaf Schenk Switzerland	26	918 1.2×	411 0.9×	114 0.4×	326 1.4×	735 3.1×	86	3.5k

Countries citing papers authored by R.E. Carlson

Since Specialization

Citations

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

Fields of papers citing papers by R.E. Carlson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R.E. Carlson. 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 R.E. Carlson. The network helps show where R.E. Carlson may publish in the future.

Co-authorship network of co-authors of R.E. Carlson

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Chang, Wan-Lin, et al.. (2023). Autism Spectrum Disorder Screening Practices in the United States and Mexico. ScholarWorks @ UTRGV (The University of Texas Rio Grande Valley). 3(2).

2.

Chang, Wan-Lin, et al.. (2022). Assessment and Diagnostic Practices Relating to Autism Spectrum Disorder in the United States and Mexico. Internet Journal of Allied Health Sciences and Practice.

3.

Carlson, R.E., et al.. (2003). Attitude Update: Spanish on the South Texas Border. Hispania. 86(1). 138–138. 18 indexed citations

4.

Carlson, R.E. & B. K. Natarajan. (1994). Sparse approximate multiquadric interpolation. Computers & Mathematics with Applications. 27(6). 99–108. 16 indexed citations

5.

Kansa, E.J. & R.E. Carlson. (1992). Improved accuracy of multiquadric interpolation using variable shape parameters. Computers & Mathematics with Applications. 24(12). 99–120. 154 indexed citations

6.

Carlson, R.E. & Thomas A. Foley. (1992). Interpolation of track data with radial basis methods. Computers & Mathematics with Applications. 24(12). 27–34. 39 indexed citations

7.

Kansa, E.J. & R.E. Carlson. (1992). Radial basis functions: A class of grid-free, scattered data approximations. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 18 indexed citations

8.

Carlson, R.E. & Thomas A. Foley. (1991). The parameter R2 in multiquadric interpolation. Computers & Mathematics with Applications. 21(9). 29–42. 311 indexed citations

9.

Carlson, R.E. & F.N. Fritsch. (1991). A Bivariate Interpolation Algorithm for Data that are Monotone in One Variable. SIAM Journal on Scientific and Statistical Computing. 12(4). 859–866. 5 indexed citations

10.

Carlson, R.E.. (1987). Shape preserving interpolation. Clarendon Press eBooks. 97–113. 9 indexed citations

11.

Carlson, R.E. & F.N. Fritsch. (1985). Monotone Piecewise Bicubic Interpolation. SIAM Journal on Numerical Analysis. 22(2). 386–400. 145 indexed citations

12.

Fritsch, F.N. & R.E. Carlson. (1985). Monotonicity preserving bicubic interpolation: A progress report. Computer Aided Geometric Design. 2(1-3). 117–121. 10 indexed citations

13.

Fritsch, F.N. & R.E. Carlson. (1984). BIMOND. Monotone Bivariate Interpolation Code. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 2 indexed citations

14.

Fritsch, F.N. & R.E. Carlson. (1980). Monotone piecewise cubic interpolation: algorithms and software. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 1 indexed citations

15.

Fritsch, F.N. & R.E. Carlson. (1978). Piecewise cubic interpolation methods. University of North Texas Digital Library (University of North Texas). 2 indexed citations

16.

Carlson, R.E. & Charles A. Hall. (1973). Error bounds for bicubic spline interpolation. Journal of Approximation Theory. 7(1). 41–47. 29 indexed citations

17.

Carlson, R.E. & Charles A. Hall. (1973). Bicubic spline interpolation in L-shaped domains. Journal of Approximation Theory. 8(1). 62–68.

18.

Carlson, R.E. & Charles A. Hall. (1972). Bicubic spline interpolation in rectangular polygons. Journal of Approximation Theory. 6(4). 366–377. 4 indexed citations

19.

Carlson, R.E. & Charles A. Hall. (1971). On piecewise polynomial interpolation in rectangular polygons. Journal of Approximation Theory. 4(1). 37–53. 10 indexed citations

20.

Carlson, R.E. & Charles A. Hall. (1971). Ritz approximations to two-dimensional boundary value problems. Numerische Mathematik. 18(2). 171–181. 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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