Publications
Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.
| 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2012 | 2011 | 2009 | 2008 |
2024
- Witt D, Shipton J, Bendall T. (2024) Exploring mathematical formulations for a next-generation compatible finite element dynamical core, DOI:10.5194/egusphere-egu24-5894. [PDF]
2023
- Cotter CJ, Shipton J. (2023) A compatible finite element discretisation for the nonhydrostatic vertical slice equations, GEM - International Journal on Geomathematics, volume 14, no. 1, DOI:10.1007/s13137-023-00236-7.
- Andrews T, Shipton J, Wingate B. (2023) The effect of linear dispersive errors on nonlinear time-stepping accuracy. [PDF]
- Andrews T, Wingate B, Shipton J. (2023) Quantifying the accuracy of large time-steps in highly oscillatory systems, DOI:10.5194/egusphere-egu23-14086. [PDF]
- Shipton J, Cotter C, Wingate B. (2023) Towards parallel-in-time algorithms for numerical weather prediction, DOI:10.5194/egusphere-egu23-9496. [PDF]
- Hartney N, Shipton J, Bendall T. (2023) Moisture with Gusto: towards moist shallow water test cases using the Gusto dynamical core toolkit, DOI:10.5194/egusphere-egu23-3660. [PDF]
2022
- Cotter CJ, Shipton J. (2022) A compatible finite element discretisation for the nonhydrostatic vertical slice equations, DOI:10.48550/arxiv.2210.07861.
2021
- Ong B, Schroder J, Shipton J, Friedhoff S. (2021) Preface, Springer Proceedings in Mathematics and Statistics, volume 356.
2020
- Bendall TM, Gibson TH, Shipton J, Cotter CJ, Shipway B. (2020) A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations, Quarterly Journal of the Royal Meteorological Society, article no. qj.3841, DOI:10.1002/qj.3841.
- Shipton J, Cotter C, Bendall T, Gibson T, Mitchell L, Ham D, Wingate B. (2020) Compatible finite element methods and parallel-in-time schemes for numerical weather prediction, DOI:10.5194/egusphere-egu2020-22676. [PDF]
2019
- Bendall TM, Gibson TH, Shipton J, Cotter CJ, Shipway B. (2019) A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations, DOI:10.48550/arxiv.1910.01857.
- Bendall TM, Cotter CJ, Shipton J. (2019) The ‘recovered space’ advection scheme for lowest-order compatible finite element methods, Journal of Computational Physics, volume 390, pages 342-358, DOI:10.1016/j.jcp.2019.04.013. [PDF]
2018
- Bendall TM, Cotter CJ, Shipton J. (2018) The Recovered Space Advection Scheme for Lowest-Order Compatible Finite Element Methods, DOI:10.48550/arxiv.1811.06956.
- Shipton J, Gibson TH, Cotter CJ. (2018) Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere, Journal of Computational Physics, volume 375, pages 1121-1137, DOI:10.1016/j.jcp.2018.08.027.
2017
- Shipton J, Gibson TH, Cotter CJ. (2017) Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere, DOI:10.48550/arxiv.1707.00855.
- Yamazaki H, Shipton J, Cullen MJP, Mitchell L, Cotter CJ. (2017) Vertical slice modelling of nonlinear Eady waves using a compatible finite element method, JOURNAL OF COMPUTATIONAL PHYSICS, volume 343, pages 130-149, DOI:10.1016/j.jcp.2017.04.006. [PDF]
2016
- Natale A, Shipton J, Cotter CJ. (2016) Compatible finite element spaces for geophysical fluid dynamics, DOI:10.48550/arxiv.1605.00551.
- Yamazaki H, Shipton J, Cullen MJP, Mitchell L, Cotter CJ. (2016) Vertical slice modelling of nonlinear Eady waves using a compatible finite element method, DOI:10.48550/arxiv.1611.04929.
- Natale A, Shipton J, Cotter CJ. (2016) Compatible finite element spaces for geophysical fluid dynamics, Dynamics and Statistics of the Climate System, volume 1, no. 1, DOI:10.1093/climsys/dzw005. [PDF]
2015
- Maddison JR, Marshall DP, Shipton J. (2015) On the dynamical influence of ocean eddy potential vorticity fluxes, OCEAN MODELLING, volume 92, pages 169-182, DOI:10.1016/j.ocemod.2015.06.003. [PDF]
2012
- Cotter CJ, Shipton J. (2012) Mixed finite elements for numerical weather prediction, JOURNAL OF COMPUTATIONAL PHYSICS, volume 231, no. 21, pages 7076-7091, DOI:10.1016/j.jcp.2012.05.020. [PDF]
2011
- Cotter CJ, Shipton J. (2011) Mixed finite elements for numerical weather prediction, DOI:10.48550/arxiv.1103.2440.
2009
- Ham DA, Farrell PE, Gorman GJ, Maddison JR, Wilson CR, Kramer SC, Shipton J, Collins GS, Cotter CJ, Piggott MD. (2009) Spud 1.0: generalising and automating the user interfaces of scientific computer models, GEOSCIENTIFIC MODEL DEVELOPMENT, volume 2, no. 1, pages 33-42, DOI:10.5194/gmd-2-33-2009. [PDF]
2008
- Ham DA, Farrell PE, Gorman GJ, Maddison JR, Wilson CR, Kramer SC, Shipton J, Collins GS, Cotter CJ, Piggott MD. (2008) Spud 1.0: generalising and automating the user interfaces of scientific computer models, volume 1, no. 1, pages 125-146, DOI:10.5194/gmdd-1-125-2008.
