Publications
2024
Algorithm 1046: An Improved Recurrence Method for the Scaled Complex Error Function
Thompson, I. (2024). Algorithm 1046: An Improved Recurrence Method for the Scaled Complex Error Function. ACM Transactions on Mathematical Software, 50(3), 1-18. doi:10.1145/3688799
2022
Array scattering resonance in the context of Foldy’s approximation
Nethercote, M. A., Kisil, A. V., Thompson, I., & Assier, R. C. (2022). Array scattering resonance in the context of Foldy’s approximation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2268). doi:10.1098/rspa.2022.0604
Energy Flux in Thin Plates
Thompson, I., & Fazakerley, G. (2022). Energy Flux in Thin Plates. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 75(2). doi:10.1093/qjmam/hbac006
2021
Analysis of Series and Products. Part 2: The Trapezoidal Rule
Thompson, I., Davies, M., & Urbikain, M. K. (2021). Analysis of Series and Products. Part 2: The Trapezoidal Rule. American Mathematical Monthly. doi:10.1080/00029890.2021.1859323
Analysis of Series and Products. Part 1: The Euler-Maclaurin Formula
Thompson, I., Davies, M., & Urbikain, M. K. (2021). Analysis of Series and Products. Part 1: The Euler-Maclaurin Formula. American Mathematical Monthly.
2020
Diffraction by a rigid strip in a plate modelled by Mindlin theory
Thompson, I. (2020). Diffraction by a rigid strip in a plate modelled by Mindlin theory. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476(2243). doi:10.1098/rspa.2020.0648