Nicholas Hale

1.3k total citations
28 papers, 905 citations indexed

About

Nicholas Hale is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Nicholas Hale has authored 28 papers receiving a total of 905 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Numerical Analysis, 10 papers in Computational Theory and Mathematics and 7 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Nicholas Hale's work include Electromagnetic Scattering and Analysis (7 papers), Numerical methods for differential equations (6 papers) and Mathematical functions and polynomials (6 papers). Nicholas Hale is often cited by papers focused on Electromagnetic Scattering and Analysis (7 papers), Numerical methods for differential equations (6 papers) and Mathematical functions and polynomials (6 papers). Nicholas Hale collaborates with scholars based in United Kingdom, South Africa and United States. Nicholas Hale's co-authors include Alex Townsend, Lloyd N. Trefethen, R. Viskanta, David Kay, Kevin Burrage, Nicholas J. Higham, Tobin A. Driscoll, Daniel R. Moore, Sheehan Olver and Luca Michele Martulli and has published in prestigious journals such as Journal of Computational Physics, International Journal of Heat and Mass Transfer and Expert Systems with Applications.

In The Last Decade

Nicholas Hale

28 papers receiving 837 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Nicholas Hale United Kingdom 14 337 236 200 177 174 28 905
Robert M. M. Mattheij Netherlands 7 488 1.4× 149 0.6× 186 0.9× 161 0.9× 88 0.5× 17 1.1k
Shaoqiang Tang China 21 202 0.6× 185 0.8× 150 0.8× 163 0.9× 85 0.5× 103 1.4k
Stefano De Marchı Italy 22 301 0.9× 115 0.5× 265 1.3× 426 2.4× 84 0.5× 108 1.4k
W. E. Olmstead United States 18 461 1.4× 353 1.5× 207 1.0× 352 2.0× 60 0.3× 92 1.1k
Marián Slodička Belgium 17 176 0.5× 200 0.8× 283 1.4× 170 1.0× 90 0.5× 128 1.0k
Prem K. Kythe United States 13 152 0.5× 170 0.7× 43 0.2× 128 0.7× 65 0.4× 25 639
Ren-Hong Wang China 18 188 0.6× 113 0.5× 241 1.2× 101 0.6× 87 0.5× 123 1.3k
René Pinnau Germany 17 181 0.5× 63 0.3× 124 0.6× 249 1.4× 46 0.3× 77 861
Giovanni Monegato Italy 22 428 1.3× 276 1.2× 139 0.7× 634 3.6× 66 0.4× 102 1.5k
James Geer United States 18 114 0.3× 67 0.3× 71 0.4× 67 0.4× 223 1.3× 70 938

Countries citing papers authored by Nicholas Hale

Since Specialization
Citations

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

Fields of papers citing papers by Nicholas Hale

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Nicholas Hale

This figure shows the co-authorship network connecting the top 25 collaborators of Nicholas Hale. A scholar is included among the top collaborators of Nicholas Hale 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 Nicholas Hale. Nicholas Hale 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.
Hale, Nicholas. (2024). A spectral collocation method for functional and delay differential equations. IMA Journal of Numerical Analysis. 45(5). 2921–2947. 1 indexed citations
2.
Hale, Nicholas, et al.. (2020). The ultraspherical spectral element method. Journal of Computational Physics. 436. 110087–110087. 17 indexed citations
3.
Hale, Nicholas, et al.. (2019). Quadratic Padé Approximation: Numerical Aspects and Applications. Computer Research and Modeling. 11(6). 1017–1031. 6 indexed citations
4.
Hale, Nicholas & Sheehan Olver. (2018). A Fast and Spectrally Convergent Algorithm for Rational-Order Fractional Integral and Differential Equations. SIAM Journal on Scientific Computing. 40(4). A2456–A2491. 14 indexed citations
5.
Hale, Nicholas, et al.. (2017). A preliminary study on characterisation of finger interface kinetics using a pressure and shear sensor system. Prosthetics and Orthotics International. 42(1). 60–65. 6 indexed citations
6.
Hale, Nicholas, et al.. (2017). A comprehensive mechanotransduction model for tactile feedback based on multi-axial stresses at the fingertip-contact interface. Bristol Research (University of Bristol). 350. 43–47. 1 indexed citations
7.
Driscoll, Tobin A. & Nicholas Hale. (2015). Rectangular spectral collocation. IMA Journal of Numerical Analysis. dru062–dru062. 39 indexed citations
8.
Hale, Nicholas & Alex Townsend. (2015). A fast FFT-based discrete Legendre transform. IMA Journal of Numerical Analysis. 36(4). 1670–1684. 8 indexed citations
9.
Hale, Nicholas & Alex Townsend. (2014). A Fast, Simple, and Stable Chebyshev--Legendre Transform Using an Asymptotic Formula. SIAM Journal on Scientific Computing. 36(1). A148–A167. 27 indexed citations
10.
Hale, Nicholas & Alex Townsend. (2014). An Algorithm for the Convolution of Legendre Series. SIAM Journal on Scientific Computing. 36(3). A1207–A1220. 12 indexed citations
11.
Hale, Nicholas & Alex Townsend. (2013). Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights. SIAM Journal on Scientific Computing. 35(2). A652–A674. 136 indexed citations
12.
Hale, Nicholas & Lloyd N. Trefethen. (2012). Chebfun and numerical quadrature. Science China Mathematics. 55(9). 1749–1760. 24 indexed citations
13.
Burrage, Kevin, Nicholas Hale, & David Kay. (2011). An efficient implementation of an implicit FEM scheme for fractional-in-space reaction-diffusion equations. Oxford University Research Archive (ORA) (University of Oxford). 10 indexed citations
14.
Hale, Nicholas, et al.. (2009). Conformal Maps to Multiply Slit Domains and Applications. SIAM Journal on Scientific Computing. 31(4). 3195–3215. 19 indexed citations
15.
Hale, Nicholas & Daniel R. Moore. (2008). A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine. Oxford University Research Archive (ORA) (University of Oxford). 30 indexed citations
16.
Hale, Nicholas, Nicholas J. Higham, & Lloyd N. Trefethen. (2008). Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals. SIAM Journal on Numerical Analysis. 46(5). 2505–2523. 122 indexed citations
17.
Hale, Nicholas & Lloyd N. Trefethen. (2008). New Quadrature Formulas from Conformal Maps. SIAM Journal on Numerical Analysis. 46(2). 930–948. 46 indexed citations
18.
Viskanta, R., et al.. (1980). Latent heat-of-fusion energy storage: Experiments on heat transfer during solid-liquid phase-change. 1. 9 indexed citations
19.
Hale, Nicholas & R. Viskanta. (1980). Solid-liquid phase-change heat transfer and interface motion in materials cooled or heated from above or below. International Journal of Heat and Mass Transfer. 23(3). 283–292. 87 indexed citations
20.
Hale, Nicholas & R. Viskanta. (1978). Photographic observation of the solid-liquid interface motion during melting of a solid heated from an isothermal vertical wall. Letters in Heat and Mass Transfer. 5(6). 329–337. 56 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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