David Elliott

2.8k total citations
91 papers, 2.1k citations indexed

About

David Elliott is a scholar working on Applied Mathematics, Numerical Analysis and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, David Elliott has authored 91 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Applied Mathematics, 28 papers in Numerical Analysis and 23 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in David Elliott's work include Mathematical functions and polynomials (29 papers), Electromagnetic Scattering and Analysis (23 papers) and Iterative Methods for Nonlinear Equations (21 papers). David Elliott is often cited by papers focused on Mathematical functions and polynomials (29 papers), Electromagnetic Scattering and Analysis (23 papers) and Iterative Methods for Nonlinear Equations (21 papers). David Elliott collaborates with scholars based in Australia, United States and United Kingdom. David Elliott's co-authors include Peter R. Johnston, D. F. Paget, A. Mark Williams, Barbara M. Johnston, Ronald F. Probstein, Ezio Venturino, Dara S. Manoach, Raymond A. Knight, Maurice Hershenson and Susumu Okada and has published in prestigious journals such as Journal of Abnormal Psychology, Mathematics of Computation and International Journal for Numerical Methods in Engineering.

In The Last Decade

David Elliott

88 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
David Elliott Australia 26 872 669 594 556 371 91 2.1k
Jiwei Zhang China 19 284 0.3× 120 0.2× 1.6k 2.6× 612 1.1× 1.5k 4.0× 78 2.1k
Sergiy Reutskiy Ukraine 20 91 0.1× 136 0.2× 363 0.6× 714 1.3× 357 1.0× 75 1.2k
Salah M. El‐Sayed Egypt 26 235 0.3× 81 0.1× 952 1.6× 223 0.4× 994 2.7× 56 1.9k
Weizhong Dai United States 27 56 0.1× 169 0.3× 481 0.8× 959 1.7× 291 0.8× 172 2.4k
William C. Troy United States 29 573 0.7× 77 0.1× 342 0.6× 38 0.1× 271 0.7× 98 2.8k
Vladislav Sorokin New Zealand 19 263 0.3× 235 0.4× 81 0.1× 101 0.2× 58 0.2× 77 1.6k
L. E. Payne United States 44 3.2k 3.7× 142 0.2× 641 1.1× 1.6k 2.8× 257 0.7× 282 7.7k
John J. H. Miller Ireland 20 560 0.6× 62 0.1× 2.4k 4.1× 90 0.2× 118 0.3× 90 2.9k
Jamal Amani Rad Iran 19 94 0.1× 58 0.1× 401 0.7× 333 0.6× 498 1.3× 64 960
Turgut Öziş Türkiye 26 117 0.1× 163 0.2× 1.1k 1.8× 357 0.6× 1.6k 4.4× 65 2.3k

Countries citing papers authored by David Elliott

Since Specialization
Citations

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

Fields of papers citing papers by David Elliott

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David Elliott

This figure shows the co-authorship network connecting the top 25 collaborators of David Elliott. A scholar is included among the top collaborators of David Elliott 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 David Elliott. David Elliott 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.
Elliott, David, Barbara M. Johnston, & Peter R. Johnston. (2016). The method of steepest descent for estimating quadrature errors. Journal of Computational and Applied Mathematics. 303. 93–104. 5 indexed citations
2.
Elliott, David, et al.. (2015). Chiral polyhedra and projective lines. Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles). 16(1). 45–52. 3 indexed citations
3.
Elliott, David, Barbara M. Johnston, & Peter R. Johnston. (2014). A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral. Journal of Computational and Applied Mathematics. 279. 261–276. 5 indexed citations
4.
Johnston, Barbara M., Peter R. Johnston, & David Elliott. (2013). A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method. Journal of Computational and Applied Mathematics. 245. 148–161. 56 indexed citations
5.
Elliott, David, Peter R. Johnston, & Barbara M. Johnston. (2011). Estimates of the error in Gauss–Legendre quadrature for double integrals. Journal of Computational and Applied Mathematics. 236(6). 1552–1561. 11 indexed citations
6.
Johnston, Barbara M., Peter R. Johnston, & David Elliott. (2006). A sinh transformation for evaluating two‐dimensional nearly singular boundary element integrals. International Journal for Numerical Methods in Engineering. 69(7). 1460–1479. 88 indexed citations
7.
Elliott, David & Peter R. Johnston. (2006). Gauss–Legendre quadrature for the evaluation of integrals involving the Hankel function. Journal of Computational and Applied Mathematics. 211(1). 23–35. 7 indexed citations
8.
Elliott, David & Peter R. Johnston. (2006). Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals. Journal of Computational and Applied Mathematics. 203(1). 103–124. 19 indexed citations
9.
Johnston, Peter R. & David Elliott. (2002). Transformations for evaluating singular boundary element integrals. Journal of Computational and Applied Mathematics. 146(2). 231–251. 22 indexed citations
10.
Johnston, Peter R. & David Elliott. (2001). A generalisation of Telles’ method for evaluating weakly singular boundary element integrals. Journal of Computational and Applied Mathematics. 131(1-2). 223–241. 23 indexed citations
11.
Knight, Raymond A., Dara S. Manoach, David Elliott, & Maurice Hershenson. (2000). Perceptual organization in schizophrenia: The processing of symmetrical configurations.. Journal of Abnormal Psychology. 109(4). 575–587. 24 indexed citations
12.
Elliott, David. (1995). Three algorithms for Hadamard finite-part integrals and fractional derivatives. Journal of Computational and Applied Mathematics. 62(3). 267–283. 9 indexed citations
13.
Brown, B. M., David Elliott, & D. F. Paget. (1987). Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function. Journal of Approximation Theory. 49(2). 196–199. 38 indexed citations
14.
Bloom, Walter R. & David Elliott. (1981). The modulus of continuity of the remainder in the approximation of Lipschitz functions. Journal of Approximation Theory. 31(1). 59–66. 15 indexed citations
15.
Elliott, David. (1979). Lagrange interpolation — decline and fall?. International Journal of Mathematical Education in Science and Technology. 10(1). 1–12. 5 indexed citations
16.
Elliott, David & D. F. Paget. (1978). The convergence of product integration rules. BIT Numerical Mathematics. 18(2). 137–141. 19 indexed citations
17.
Elliott, David, et al.. (1974). Explicit results for the best uniform rational approximation to certain continuous functions. Journal of Approximation Theory. 11(2). 126–133. 2 indexed citations
18.
Elliott, David. (1964). The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function. Mathematics of Computation. 18(86). 274–284. 67 indexed citations
19.
Elliott, David. (1964). The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function. Mathematics of Computation. 18(86). 274–274. 19 indexed citations
20.
Elliott, David. (1963). A Chebyshev series method for the numerical solution of Fredholm integral equations. The Computer Journal. 6(1). 102–112. 57 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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