| Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi‐hydrostatic and non‐hydrostatic AA White, BJ Hoskins, I Roulstone, A Staniforth Quarterly Journal of the Royal Meteorological Society: A journal of the …, 2005 | 186 | 2005 |
| Quaternions and particle dynamics in the Euler fluid equations JD Gibbon, DD Holm, RM Kerr, I Roulstone Nonlinearity 19 (8), 1969, 2006 | 103 | 2006 |
| A comparison of 4DVar with ensemble data assimilation methods D Fairbairn, SR Pring, AC Lorenc, I Roulstone Quarterly Journal of the Royal Meteorological Society 140 (678), 281-294, 2014 | 98 | 2014 |
| Large-scale atmosphere-ocean dynamics: volume 1: analytical methods and numerical models J Norbury, I Roulstone Cambridge University Press, 2002 | 63 | 2002 |
| Are there higher-accuracy analogues of semigeostrophic theory? ME McIntyre, I Roulstone Joint Centre for Mesoscale Meteorology, The Met. Office, 2001 | 53 | 2001 |
| Holomorphic structures in hydrodynamical models of nearly geostrophic flow VN Roubtsov, I Roulstone Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2001 | 44 | 2001 |
| A Hamiltonian structure with contact geometry for the semi-geostrophic equations I Roulstone, J Norbury Journal of Fluid Mechanics 272, 211-234, 1994 | 43 | 1994 |
| Reconstructing ice-age palaeoclimates: Quantifying low-CO2 effects on plants IC Prentice, SF Cleator, YH Huang, SP Harrison, I Roulstone Global and Planetary Change 149, 166-176, 2017 | 41 | 2017 |
| Four-dimensional variational data assimilation for Doppler radar wind data FA Rihan, CG Collier, I Roulstone Journal of Computational and Applied Mathematics 176 (1), 15-34, 2005 | 35 | 2005 |
| A new multivariable benchmark for Last Glacial Maximum climate simulations SF Cleator, SP Harrison, NK Nichols, IC Prentice, I Roulstone Climate of the Past 16 (2), 699-712, 2020 | 33 | 2020 |
| The mathematical structure of theories of semigeostrophic type I Roulstone, MJ Sewell Philosophical Transactions of the Royal Society of London. Series A …, 1997 | 33 | 1997 |
| Examples of quaternionic and Kähler structures in Hamiltonian models of nearly geostrophic flow VN Rubtsov, I Roulstone Journal of Physics A: Mathematical and General 30 (4), L63, 1997 | 33 | 1997 |
| Invisible in the Storm: the role of mathematics in understanding weather I Roulstone, J Norbury Princeton University Press, 2013 | 32 | 2013 |
| Improvements in forecasting intense rainfall: Results from the FRANC (Forecasting Rainfall exploiting new data Assimilation techniques and Novel observations of Convection) project SL Dance, SP Ballard, RN Bannister, P Clark, HL Cloke, T Darlington, ... Atmosphere 10 (3), 125, 2019 | 29 | 2019 |
| Potential vorticities in semi‐geostrophic theory I Roulstone, MJ Sewell Quarterly Journal of the Royal Meteorological Society 122 (532), 983-992, 1996 | 29 | 1996 |
| Generalized semi-geostrophic theory on a sphere MJP Cullen, RJ Douglas, I Roulstone, MJ Sewell Journal of Fluid Mechanics 531, 123-157, 2005 | 25 | 2005 |
| On the Hamiltonian formulation of the quasi‐hydrostatic equations I Roulstone, SJ Brice Quarterly Journal of the Royal Meteorological Society 121 (524), 927-936, 1995 | 25 | 1995 |
| Use of potential vorticity for incremental data assimilation M Wlasak, NK Nichols, I Roulstone Quarterly Journal of the Royal Meteorological Society: A journal of the …, 2006 | 22 | 2006 |
| Hamiltonian balanced models: constraints, slow manifolds and velocity splitting ME McIntyre, I Roulstone Meteorological Office, 1996 | 22 | 1996 |
| A geometric model of the nonlinear equilibration of two-dimensional Eady waves MJP Cullen, I Roulstone Journal of Atmospheric Sciences 50 (2), 328-332, 1993 | 20 | 1993 |
