Robert E. Barnhill

2.4k total citations
65 papers, 1.3k citations indexed

About

Robert E. Barnhill is a scholar working on Computational Mechanics, Computer Graphics and Computer-Aided Design and Computational Theory and Mathematics. According to data from OpenAlex, Robert E. Barnhill has authored 65 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Computational Mechanics, 18 papers in Computer Graphics and Computer-Aided Design and 14 papers in Computational Theory and Mathematics. Recurrent topics in Robert E. Barnhill's work include Advanced Numerical Analysis Techniques (29 papers), Computational Geometry and Mesh Generation (11 papers) and Numerical methods in engineering (11 papers). Robert E. Barnhill is often cited by papers focused on Advanced Numerical Analysis Techniques (29 papers), Computational Geometry and Mesh Generation (11 papers) and Numerical methods in engineering (11 papers). Robert E. Barnhill collaborates with scholars based in United States, United Kingdom and Austria. Robert E. Barnhill's co-authors include John Gregory, Gerald Farin, G. Birkhoff, William J. Gordon, Bruce Piper, Lois Mansfield, Hengan Ou, Gregory M. Nielson, Hans Hagen and Helmut Pottmann and has published in prestigious journals such as Communications of the ACM, Mathematics of Computation and International Journal for Numerical Methods in Engineering.

In The Last Decade

Robert E. Barnhill

57 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert E. Barnhill United States	18	947	523	187	182	171	65	1.3k
Josef Hoschek Germany	21	1.7k 1.8×	838 1.6×	417 2.2×	117 0.6×	94 0.5×	63	2.0k
Dieter Lasser Germany	7	944 1.0×	475 0.9×	214 1.1×	74 0.4×	71 0.4×	16	1.1k
Hartmut Prautzsch Germany	17	847 0.9×	343 0.7×	294 1.6×	53 0.3×	60 0.4×	45	1.2k
Ulrich Reif Germany	21	1.3k 1.4×	567 1.1×	431 2.3×	69 0.4×	230 1.3×	51	1.5k
D.S. Meek Canada	23	1.2k 1.2×	601 1.1×	287 1.5×	88 0.5×	36 0.2×	69	1.6k
Wolfgang Boehm Germany	13	906 1.0×	418 0.8×	273 1.5×	55 0.3×	47 0.3×	27	1.2k
Carla Manni Italy	25	1.6k 1.7×	382 0.7×	519 2.8×	297 1.6×	226 1.3×	109	1.8k
Ronald Goldman United States	20	731 0.8×	369 0.7×	127 0.7×	81 0.4×	20 0.1×	61	996
Alessandra Sestini Italy	17	658 0.7×	120 0.2×	212 1.1×	173 1.0×	97 0.6×	62	827
Hongwei Lin China	23	1.3k 1.4×	632 1.2×	277 1.5×	132 0.7×	84 0.5×	106	1.7k

Countries citing papers authored by Robert E. Barnhill

Since Specialization

Citations

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

Fields of papers citing papers by Robert E. Barnhill

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert E. Barnhill

This figure shows the co-authorship network connecting the top 25 collaborators of Robert E. Barnhill. A scholar is included among the top collaborators of Robert E. Barnhill 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 Robert E. Barnhill. Robert E. Barnhill 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

Barnhill, Robert E.. (1998). Ethnobotanical Survey of Atractylis gummifera L. Traditional Uses among Moroccan Herbalists: Bridging Cultural Practices with Safety Concerns. Tropical Journal of Natural Product Research. 10(1). 19–22.

Barnhill, Robert E., Wolfgang Boehm, & Josef Hoschek. (1990). Curves and surfaces in CAGD '89 : proceedings of a conference held at the Mathematisches Forschungsinstitut Oberwolfach, F.R.G., 16-22 April 1989. North-Holland eBooks.

Barnhill, Robert E., et al.. (1988). Geometry Processing: Numerical Multiple Integration. 49–69.

Barnhill, Robert E., Gerald Farin, L. Fayard, & Hans Hagen. (1988). Twists, curvatures and surface interrogation. Computer-Aided Design. 20(6). 341–346. 15 indexed citations

Barnhill, Robert E., Wolfgang Boehm, & Josef Hoschek. (1985). Surfaces in CAGD '84 : proceedings of a conference held at the Mathematisches Forschungsinstitut Oberwolfach, F.R.G., 12-16 November 1984. Elsevier eBooks.

Barnhill, Robert E.. (1984). Computer-aided surface representation and design. NASA Technical Reports Server (NASA). 27 indexed citations

Barnhill, Robert E., et al.. (1981). A Comparison of Finite Element Error Bounds for Poisson's Equation. IMA Journal of Numerical Analysis. 1(1). 95–103. 10 indexed citations

Barnhill, Robert E. & John Gregory. (1975). Polynomial interpolation to boundary data on triangles. Mathematics of Computation. 29(131). 726–735. 48 indexed citations

Barnhill, Robert E. & John Gregory. (1975). Compatible smooth interpolation in triangles. Journal of Approximation Theory. 15(3). 214–225. 45 indexed citations

10.

Barnhill, Robert E. & John Gregory. (1975). Interpolation remainder theory from taylor expansions on triangles. Numerische Mathematik. 25(4). 401–408. 14 indexed citations

11.

Barnhill, Robert E. & Lois Mansfield. (1974). Error bounds for smooth interpolation in triangles. Journal of Approximation Theory. 11(4). 306–318. 34 indexed citations

12.

Barnhill, Robert E., G. Birkhoff, & William J. Gordon. (1973). Smooth interpolation in triangles. Journal of Approximation Theory. 8(2). 114–128. 135 indexed citations

13.

Barnhill, Robert E., et al.. (1973). Sard kernels for certain bivariate cubatures. Communications of the ACM. 16(9). 567–570. 1 indexed citations

14.

Barnhill, Robert E., J. E. Dennis, & Gregory M. Nielson. (1969). A new type of Chebyshev quadrature. Mathematics of Computation. 23(106). 437–441. 9 indexed citations

15.

Barnhill, Robert E.. (1968). An Error Analysis for Numerical Multiple Integration. I. Mathematics of Computation. 22(101). 98–98. 5 indexed citations

16.

Barnhill, Robert E.. (1968). An error analysis for numerical multiple integration. II. Mathematics of Computation. 22(102). 286–292. 11 indexed citations

17.

Barnhill, Robert E.. (1968). An error analysis for numerical multiple integration. I. Mathematics of Computation. 22(101). 98–109. 10 indexed citations

18.

Barnhill, Robert E.. (1968). Asymptotic properties of minimum norm and optimal quadratures. Numerische Mathematik. 12(5). 384–393. 13 indexed citations

19.

Barnhill, Robert E., et al.. (1967). Quadratures with remainders of minimum norm. II. Mathematics of Computation. 21(99). 382–387. 18 indexed citations

20.

Barnhill, Robert E., et al.. (1967). Quadratures with remainders of minimum norm. I. Mathematics of Computation. 21(97). 66–75. 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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