Overview
Research Interests
- atmosphere and ocean modelling
- finite element methods
- time-parallel algorithms
I am on the organising committee for the One World Mathematics of Climate Change project.
Current Projects
ExCALIBUR Cross-cutting themes: (https://excalibur.ac.uk/themes/cross-cutting-research/)
I work on two of the ExCALIBUR cross-cutting projects which aim to explore novel techniques to make efficient use of exascale supercomputers. I am the Principal Investigator of the Advanced Parallel in Time Algorithms for Partial Differential Equations project (APinTA PDEs), working with Prof. Wingate, Prof. Cotter, Dr David Moxey, Dr Chris Cantwell and Dr Omar Jamil to develop timestepping algorithms that can efficiently harness the power of future supercomputers by performing calculations in parallel. I am also Co-Investigtor on the Uncertainty Quantification at the Exascale project, led by Prof. Peter Challenor.
Teaching
I am module lead and lecturer for MTHM008 Computational Modelling
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.
