Shayne Waldron

1.2k total citations
49 papers, 583 citations indexed

About

Shayne Waldron is a scholar working on Applied Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Shayne Waldron has authored 49 papers receiving a total of 583 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Applied Mathematics, 22 papers in Computational Mechanics and 9 papers in Numerical Analysis. Recurrent topics in Shayne Waldron's work include Advanced Numerical Analysis Techniques (22 papers), Mathematical Analysis and Transform Methods (21 papers) and Mathematical functions and polynomials (12 papers). Shayne Waldron is often cited by papers focused on Advanced Numerical Analysis Techniques (22 papers), Mathematical Analysis and Transform Methods (21 papers) and Mathematical functions and polynomials (12 papers). Shayne Waldron collaborates with scholars based in New Zealand, United States and Canada. Shayne Waldron's co-authors include S. Barry Cooper, Len Bos, N. Levenberg, Steven T. Flammia, Daniel Hughes, N. Hay, Robert Reams, Thomas Bloom and Stefano De Marchı and has published in prestigious journals such as SHILAP Revista de lepidopterología, IEEE Transactions on Information Theory and SIAM Journal on Numerical Analysis.

In The Last Decade

Shayne Waldron

47 papers receiving 542 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Shayne Waldron New Zealand 12 283 203 126 92 81 49 583
Kurt Jetter Germany 11 157 0.6× 224 1.1× 80 0.6× 72 0.8× 56 0.7× 34 442
Manfred V. Golitschek Germany 12 255 0.9× 185 0.9× 197 1.6× 91 1.0× 84 1.0× 37 635
Борис Сергеевич Кашин Russia 13 206 0.7× 104 0.5× 153 1.2× 52 0.6× 33 0.4× 75 463
Eli Passow United States 13 172 0.6× 290 1.4× 228 1.8× 89 1.0× 50 0.6× 33 709
Yuly Makovoz United States 5 181 0.6× 133 0.7× 170 1.3× 83 0.9× 177 2.2× 6 558
Juan Carlos Dı́az Spain 11 110 0.4× 114 0.6× 87 0.7× 45 0.5× 70 0.9× 53 503
Ralph Howard United States 14 326 1.2× 65 0.3× 48 0.4× 34 0.4× 120 1.5× 37 671
Hugo J. Woerdeman United States 16 333 1.2× 77 0.4× 177 1.4× 22 0.2× 68 0.8× 89 800
Tino Ullrich Germany 17 538 1.9× 187 0.9× 391 3.1× 71 0.8× 25 0.3× 45 799
Juan Malumbres Spain 16 346 1.2× 111 0.5× 236 1.9× 16 0.2× 23 0.3× 85 817

Countries citing papers authored by Shayne Waldron

Since Specialization
Citations

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

Fields of papers citing papers by Shayne Waldron

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Shayne Waldron

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

All Works

20 of 20 papers shown
1.
Waldron, Shayne, et al.. (2024). Complex spherical designs from group orbits. Journal of Approximation Theory. 301. 106047–106047. 1 indexed citations
2.
Waldron, Shayne, et al.. (2018). Projective Symmetry Group of a Finite Frame. 48. 55–81. 4 indexed citations
3.
Waldron, Shayne, et al.. (2016). Nice error frames, canonical abstract error groups and the construction of SICs. Linear Algebra and its Applications. 516. 93–117. 4 indexed citations
4.
Waldron, Shayne, et al.. (2015). Tight frames for cyclotomic fields and other rational vector spaces. Linear Algebra and its Applications. 476. 98–123. 1 indexed citations
5.
Waldron, Shayne, et al.. (2013). On the construction of highly symmetric tight frames and complex polytopes. Linear Algebra and its Applications. 439(12). 4135–4151. 8 indexed citations
6.
Waldron, Shayne. (2011). Affine generalised barycentric coordinates. 3(2). 209–226. 6 indexed citations
7.
Waldron, Shayne. (2011). Frames for vector spaces and affine spaces. Linear Algebra and its Applications. 435(1). 77–94. 6 indexed citations
8.
Waldron, Shayne, et al.. (2010). A classification of the harmonic frames up to unitary equivalence. Applied and Computational Harmonic Analysis. 30(3). 307–318. 7 indexed citations
9.
Waldron, Shayne, et al.. (2010). The symmetry group of a finite frame. Linear Algebra and its Applications. 433(1). 248–262. 7 indexed citations
10.
Waldron, Shayne. (2009). On the construction of equiangular frames from graphs. Linear Algebra and its Applications. 431(11). 2228–2242. 34 indexed citations
11.
Bos, Len, N. Levenberg, & Shayne Waldron. (2008). On the spacing of Fekete points for a sphere, ball or simplex. Indagationes Mathematicae. 19(2). 163–176. 14 indexed citations
12.
Bos, Len, N. Levenberg, & Shayne Waldron. (2008). Pseudometrics, distances and multivariate polynomial inequalities. Journal of Approximation Theory. 153(1). 80–96. 8 indexed citations
13.
Waldron, Shayne. (2007). Multivariate Jacobi polynomials with singular weights. East journal on approximations. 13(2). 163–183.
14.
Waldron, Shayne. (2007). Orthogonal polynomials on the disc. Journal of Approximation Theory. 150(2). 117–131. 6 indexed citations
15.
Waldron, Shayne. (2006). On the Bernstein–Bézier form of Jacobi polynomials on a simplex. Journal of Approximation Theory. 140(1). 86–99. 6 indexed citations
16.
Waldron, Shayne & N. Hay. (2006). On computing all harmonic frames of n vectors in Cd. Applied and Computational Harmonic Analysis. 21(2). 168–181. 9 indexed citations
17.
Waldron, Shayne. (2003). A generalised beta integral and the limit of the Bernstein–Durrmeyer operator with Jacobi weights. Journal of Approximation Theory. 122(1). 141–150. 22 indexed citations
18.
Waldron, Shayne. (2003). Generalized welch bound equality sequences are tight frames. IEEE Transactions on Information Theory. 49(9). 2307–2309. 47 indexed citations
19.
Waldron, Shayne, et al.. (2002). Signed frames and Hadamard products of Gram matrices. Linear Algebra and its Applications. 347(1-3). 131–157. 15 indexed citations
20.
Cooper, S. Barry & Shayne Waldron. (2002). The Diagonalisation of the Multivariate Bernstein Operator. Journal of Approximation Theory. 117(1). 103–131. 10 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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