Straka, J. M. ORCID: https://orcid.org/0000-0003-3672-5858, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Kanak, K. M. ORCID: https://orcid.org/0000-0003-3479-9669 (2023) Nonlinear diffusion‐limited 2D colliding plume simulations with very high order numerical approximations. Quarterly Journal of the Royal Meteorological Society. ISSN 1477-870X doi: https://doi.org/10.1002/qj.4616

Smith, I. H. ORCID: https://orcid.org/0000-0002-7512-8370, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Schiemann, R. ORCID: https://orcid.org/0000-0003-3095-9856 (2023) Clear-air turbulence trends over the North Atlantic in high-resolution climate models. Climate Dynamics, 61 (7-8). pp. 3063-3079. ISSN 1432-0894 doi: https://doi.org/10.1007/s00382-023-06694-x

Straka, J. M. ORCID: https://orcid.org/0000-0003-3672-5858, Kanak, K. M. ORCID: https://orcid.org/0000-0003-3479-9669 and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2023) Comparison of very high order (O3–18) flux and Crowley flux, and (O3–17) WENO flux schemes with a 2D nonlinear test problem. Quarterly Journal of the Royal Meteorological Society, 149 (757). pp. 3669-3710. ISSN 1477-870X doi: https://doi.org/10.1002/qj.4579

Prosser, M. C. ORCID: https://orcid.org/0000-0002-3181-642X, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Marlton, G. J. and Harrison, R. G. ORCID: https://orcid.org/0000-0003-0693-347X (2023) Evidence for large increases in clear‐air turbulence over the past four decades. Geophysical Research Letters, 50 (11). e2023GL103814. ISSN 0094-8276 doi: https://doi.org/10.1029/2023GL103814

Wells, C. A., Kalise, D., Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Poll, I. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2023) The role of airspeed variability in fixed-time, fuel-optimal aircraft trajectory planning. Optimization and Engineering, 24. pp. 1057-1087. ISSN 1389-4420 doi: https://doi.org/10.1007/s11081-022-09720-9

Wells, C. A. ORCID: https://orcid.org/0000-0001-9438-4954, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Kalise, D. and Poll, I. (2023) Minimising emissions from flights through realistic wind fields with varying aircraft weights. Transportation Research Part D: Transport and Environment, 117. 103660. ISSN 1361-9209 doi: https://doi.org/10.1016/j.trd.2023.103660

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Storer, L. N. (2022) Can a climate model successfully diagnose clear‐air turbulence and its response to climate change? Quarterly Journal of the Royal Meteorological Society, 148 (744). pp. 1424-1438. ISSN 1477-870X doi: https://doi.org/10.1002/qj.4270

Doctor, F., Budd, T., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Prescott, M. and Iqbal, R. (2022) Modelling the effect of electric aircraft on airport operations and infrastructure. Technological Forecasting and Social Change, 177. 121553. ISSN 00401625 doi: https://doi.org/10.1016/j.techfore.2022.121553

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Straka, J. M. and Kanak, K. M. (2022) The performance of filtered leapfrog schemes in benchmark simulations. Quarterly Journal of the Royal Meteorological Society, 148 (743). pp. 784-808. ISSN 1477-870X doi: https://doi.org/10.1002/qj.4231

Gratton, G. B. ORCID: https://orcid.org/0000-0001-9925-5086, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Padhra, A. ORCID: https://orcid.org/0000-0002-2351-7235 and Rapsomanikis, S. (2022) Reviewing the impacts of climate change on air transport operations. The Aeronautical Journal, 126 (1295). pp. 209-221. ISSN 0001-9240 doi: https://doi.org/10.1017/aer.2021.109

Tenenbaum, J. ORCID: https://orcid.org/0000-0002-9465-2805, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Turp, D., Buchanan, P., Coulson, R., Gill, P. G., Lunnon, R. W., Oztunali, M. G., Rankin, J. and Rukhovets, L. (2022) Aircraft observations and reanalysis depictions of trends in the North Atlantic winter jet stream wind speeds and turbulence. Quarterly Journal of the Royal Meteorological Society, 148 (747). pp. 2927-2941. ISSN 0035-9009 doi: https://doi.org/10.1002/qj.4342

Thompson, R. L. ORCID: https://orcid.org/0000-0002-2766-0952, Morley, S. K. ORCID: https://orcid.org/0000-0001-8520-0199, Watt, C. E. J. ORCID: https://orcid.org/0000-0003-3193-8993, Bentley, S. N. ORCID: https://orcid.org/0000-0002-0095-1979 and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2021) Pro‐ L * ‐ A probabilistic L * mapping tool for ground observations. Space Weather, 19 (2). e2020SW002602. ISSN 1542-7390 doi: https://doi.org/10.1029/2020SW002602

Wells, C. A. ORCID: https://orcid.org/0000-0001-9438-4954, Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Kalise, D. ORCID: https://orcid.org/0000-0003-2327-1957 and Poll, I. ORCID: https://orcid.org/0000-0001-8057-8467 (2021) Reducing transatlantic flight emissions by fuel-optimised routing. Environmental Research Letters, 16 (2). 025002. ISSN 1748-9326 doi: https://doi.org/10.1088/1748-9326/abce82

Thompson, R. L. ORCID: https://orcid.org/0000-0002-2766-0952, Watt, C. E. J. ORCID: https://orcid.org/0000-0003-3193-8993 and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2020) Accounting for variability in ULF wave radial diffusion models. Journal of Geophysical Research: Space Physics, 125 (8). ISSN 2169-9402 doi: https://doi.org/10.1029/2019JA027254

Kim, J.-H. ORCID: https://orcid.org/0000-0002-5336-9536, Kim, D., Lee, D.-B., Chun, H.-Y. ORCID: https://orcid.org/0000-0002-2014-4728, Sharman, R. D., Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820 and Kim, Y.-J. (2020) Impact of climate variabilities on trans-oceanic flight times and emissions during strong NAO and ENSO phases. Environmental Research Letters. ISSN 1748-9326 doi: https://doi.org/10.1088/1748-9326/abaa77

Gratton, G., Padhra, A., Rapsomanikis, S. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2020) The impacts of climate change on Greek airports. Climate Change, 160 (2). pp. 219-231. ISSN 0165-0009 doi: https://doi.org/10.1007/s10584-019-02634-z

Storer, L. N., Gill, P. G. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2020) Multi‐diagnostic multi‐model ensemble forecasts of aviation turbulence. Meteorological Applications, 27 (1). e1885. ISSN 1350-4827 doi: https://doi.org/10.1002/met.1885

Lee, S. H., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Frame, T. H. A. ORCID: https://orcid.org/0000-0001-6542-2173 (2019) Increased shear in the North Atlantic upper-level jet stream over the past four decades. Nature, 572. pp. 639-642. ISSN 0028-0836 doi: https://doi.org/10.1038/s41586-019-1465-z

Storer, L. N., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Gill, P. G. (2019) Aviation turbulence: dynamics, forecasting, and response to climate change. Pure and Applied Geophysics, 176 (5). pp. 2081-2095. ISSN 0033-4553 doi: https://doi.org/10.1007/s00024-018-1822-0

Dexheimer, D., Airey, M. ORCID: https://orcid.org/0000-0002-9784-0043, Roesler, E., Longbottom, C., Nicoll, K. ORCID: https://orcid.org/0000-0001-5580-6325, Kneifel, S., Mei, F., Harrison, G. ORCID: https://orcid.org/0000-0003-0693-347X, Marlton, G. and Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820 (2019) Evaluation of ARM Tethered Balloon System instrumentation for supercooled liquid water and distributed temperature sensing in mixed-phase Arctic clouds. Atmospheric Measurement Techniques, 12 (12). pp. 6845-6864. ISSN 1867-8548 doi: https://doi.org/10.5194/amt-12-6845-2019

Storer, L. N., Gill, P. G. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2019) Multi-model ensemble predictions of aviation turbulence. Meteorological Applications, 26 (3). pp. 416-428. ISSN 1350-4827 doi: https://doi.org/10.1002/met.1772

Zanna, L., Brankart, J. M., Huber, M., Leroux, S., Penduff, T. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2019) Uncertainty and scale interactions in ocean ensembles: from seasonal forecasts to multidecadal climate predictions. Quarterly Journal of the Royal Meteorological Society, 145 (S1). pp. 160-175. ISSN 1477-870X doi: https://doi.org/10.1002/qj.3397

Gultepe, I., Sharman, R., Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820, Zhou, B., Ellrod, G., Minnis, P., Trier, S., Griffin, S., Yum, S. S., Gharabaghi, B., Feltz, W., Temimi, M., Pu, Z., Storer, L., Kneringer, P., Weston, M. J., Chuang, H.-y., Thobois, L., Dimri, A. P., Dietz, S. J., França, G. B., Almeida, M. V. and Neto, F. L. A. (2019) A review of high impact weather for aviation meteorology. Pure and Applied Geophysics, 176 (5). pp. 1869-1921. ISSN 0033-4553 doi: https://doi.org/10.1007/s00024-019-02168-6

Harrison, G. ORCID: https://orcid.org/0000-0003-0693-347X, Nicoll, K. ORCID: https://orcid.org/0000-0001-5580-6325, Marlton, G., Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820 and Airey, M. ORCID: https://orcid.org/0000-0002-9784-0043 (2017) A self-calibrating wide range electrometer for in-cloud measurements. Review of Scientific Instruments, 88 (12). 126109. ISSN 0034-6748 doi: https://doi.org/10.1063/1.5011177

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Alexander, M. J., Barnes, E. A., Butler, A. H., Davies, H. C., Garfinkel, C. I., Kushnir, Y., Lane, T. P., Lundquist, J. K., Martius, O., Maue, R. N., Peltier, W. R., Sato, K., Scaife, A. A. and Zhang, C. (2017) A census of atmospheric variability from seconds to decades. Geophysical Research Letters, 44 (21). pp. 11201-11211. ISSN 0094-8276 doi: https://doi.org/10.1002/2017GL075483

Storer, L. N., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Joshi, M. M. (2017) Global response of clear-air turbulence to climate change. Geophysical Research Letters, 44 (19). pp. 9976-9984. ISSN 0094-8276 doi: https://doi.org/10.1002/2017GL074618

Airey, M. ORCID: https://orcid.org/0000-0002-9784-0043, Harrison, G. ORCID: https://orcid.org/0000-0003-0693-347X, Nicoll, K. ORCID: https://orcid.org/0000-0001-5580-6325, Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820 and Marlton, G. (2017) A miniature oscillating microbalance for sampling ice and volcanic ash from a small airborne platform. Review of Scientific Instruments, 88 (8). 086108. ISSN 0034-6748 doi: https://doi.org/10.1063/1.4998971

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2017) Increased light, moderate, and severe clear-air turbulence in response to climate change. Advances in Atmospheric Sciences, 34 (5). pp. 576-586. ISSN 0256-1530 doi: https://doi.org/10.1007/s00376-017-6268-2

Chun, H.-Y., Kim, J.-H., Lee, D.-B., Kim, S.-H., Strahan, M., Pettegrew, B., Gill, P., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Schumann, U., Tenenbaum, J., Lee, Y.-G., Choi, H.-W., Song, I.-S., Park, Y.-J. and Sharman, R. D. (2017) Research collaborations for better predictions of aviation weather hazards. Bulletin of the American Meteorological Society, 98 (5). ES103-ES107. ISSN 1520-0477 doi: https://doi.org/10.1175/bams-d-17-0010.1

Berner, J., Achatz, U., Batte, L., Bengtsson, L., De La Camara, A., Christensen, H. M., Colangeli, M., Coleman, D. R. B., Crommelin, D., Dolaptchiev, S. I., Franzke, C. L. E., Friederichs, P., Imkeller, P., Jarvinen, H., Juricke, S., Kitsios, V., Lott, F., Lucarini, V. ORCID: https://orcid.org/0000-0001-9392-1471, Mahajan, S., Palmer, T. N., Penland, C., Sakradzija, M., Von Storch, J.-S., Weisheimer, A., Weniger, M., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Yano, J.-I. (2017) Stochastic parameterization: towards a new view of weather and climate models. Bulletin of the American Meteorological Society, 98 (3). pp. 565-588. ISSN 1520-0477 doi: https://doi.org/10.1175/BAMS-D-15-00268.1

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Howe, N. J., Gregory, J. M. ORCID: https://orcid.org/0000-0003-1296-8644, Smith, R. S. ORCID: https://orcid.org/0000-0001-7479-7778 and Joshi, M. M. (2016) Improved climate simulations through a stochastic parameterization of ocean eddies. Journal of Climate, 29 (24). pp. 8763-8781. ISSN 1520-0442 doi: https://doi.org/10.1175/JCLI-D-15-0746.1

Marston, J. B. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2016) Focus on stochastic flows and climate statistics. New Journal of Physics, 18 (9). 090201. ISSN 1367-2630 doi: https://doi.org/10.1088/1367-2630/18/9/090201

Harrison, G. ORCID: https://orcid.org/0000-0003-0693-347X, Marlton, G., Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820 and Nicoll, K. ORCID: https://orcid.org/0000-0001-5580-6325 (2016) Coordinated weather balloon solar radiation measurements during a solar eclipse. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374 (2077). 20150221. ISSN 1364-503X doi: https://doi.org/10.1098/rsta.2015.0221 (themed issue: Atmospheric effects of solar eclipses stimulated by the 2015 UK eclipse)

Marlton, G. J., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Nicoll, K. A. ORCID: https://orcid.org/0000-0001-5580-6325 (2016) On the detection and attribution of gravity waves generated by the 20 March 2015 solar eclipse. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374 (2077). 20150222. ISSN 1364-503X doi: https://doi.org/10.1098/rsta.2015.0222 (themed issue: Atmospheric effects of solar eclipses stimulated by the 2015 UK eclipse)

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Joshi, M. M. (2016) Clear-air turbulence in a changing climate. In: Sharman, R. and Lane, T. (eds.) Aviation turbulence: processes, detection, prediction. Springer, pp. 465-480. ISBN 9783319236292 doi: https://doi.org/10.1007/978-3-319-23630-8_23

Kim, J.-H., Chan, W. N., Sridhar, B., Sharman, R. D., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Strahan, M. (2016) Impact of the North Atlantic Oscillation on transatlantic flight routes and clear-air turbulence. Journal of Applied Meteorology and Climatology, 55 (3). pp. 763-771. ISSN 1558-8432 doi: https://doi.org/10.1175/JAMC-D-15-0261.1

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2016) Transatlantic flight times and climate change. Environmental Research Letters, 11 (2). 024008. ISSN 1748-9326 doi: https://doi.org/10.1088/1748-9326/11/2/024008

Brown, S., Aplin, K. L., Jenkins, K., Mander, S., Walsh, C. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2015) Is there a Rhythm Of The Rain? An analysis of weather in popular music. Weather, 70 (7). pp. 198-204. ISSN 0043-1656 doi: https://doi.org/10.1002/wea.2464

Amezcua, J. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2015) The composite-tendency Robert–Asselin–Williams (RAW) filter in semi-implicit integrations. Quarterly Journal of the Royal Meteorological Society, 141 (688). pp. 764-773. ISSN 1477-870X doi: https://doi.org/10.1002/qj.2391

von Larcher, T. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, eds. (2015) Modeling atmospheric and oceanic flows: insights from laboratory experiments and numerical simulations. John Wiley & Sons, Hoboken, pp368. ISBN 9781118855935

Franzke, C. L. E., O'Kane, T. J., Berner, J., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Lucarini, V. ORCID: https://orcid.org/0000-0001-9392-1471 (2015) Stochastic climate theory and modeling. Wiley Interdisciplinary Reviews: Climate Change, 6 (1). pp. 63-78. ISSN 1757-7799 doi: https://doi.org/10.1002/wcc.318

Marlton, G. J., Giles Harrison, R. ORCID: https://orcid.org/0000-0003-0693-347X, Nicoll, K. A. ORCID: https://orcid.org/0000-0001-5580-6325 and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2015) Note: A balloon-borne accelerometer technique for measuring atmospheric turbulence. Review of Scientific Instruments, 86 (1). 016109. ISSN 0034-6748 doi: https://doi.org/10.1063/1.4905529

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Joshi, M. M. (2013) Intensification of winter transatlantic aviation turbulence in response to climate change. Nature Climate Change, 3. pp. 644-648. ISSN 1758-6798 doi: https://doi.org/10.1038/nclimate1866

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2013) Achieving seventh-order amplitude accuracy in leapfrog integrations. Monthly Weather Review, 141 (9). pp. 3037-3051. ISSN 1520-0493 doi: https://doi.org/10.1175/MWR-D-12-00303.1

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Cullen, M. J.P., Davey, M. K. and Huthnance, J. M. (2013) Mathematics applied to the climate system: outstanding challenges and recent progress. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 371 (1991). 20120518. ISSN 1471-2962 doi: https://doi.org/10.1098/rsta.2012.0518

Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820 (2012) Comment on “A modified leapfrog scheme for shallow water equations” by Wen-Yih Sun and Oliver M.T. Sun. Computers & Fluids, 62. p. 91. ISSN 0045-7930 doi: https://doi.org/10.1016/j.compfluid.2012.02.023

McCann, D. W., Knox, J. A. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2012) An improvement in clear-air turbulence forecasting based on spontaneous imbalance theory: the ULTURB algorithm. Meteorological Applications, 19 (1). pp. 71-78. ISSN 1469-8080 doi: https://doi.org/10.1002/met.260

Aplin, K. L. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2012) Whether weather affects music. EOS Transactions, 93 (36). p. 347. ISSN 0096-3941 doi: https://doi.org/10.1029/2012EO360007

Aplin, K. L. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2011) Meteorological phenomena in Western classical orchestral music. Weather, 66 (11). pp. 300-306. ISSN 1477-8696 doi: https://doi.org/10.1002/wea.765

Jacoby, T. N. L., Read, P. L., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Young, R. M. B. (2011) Generation of inertia-gravity waves in the rotating thermal annulus by a localised boundary layer instability. Geophysical & Astrophysical Fluid Dynamics, 105 (2-3). pp. 161-181. ISSN 0309-1929 doi: https://doi.org/10.1080/03091929.2011.560151

Amezcua, J., Kalnay, E. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2011) The effects of the RAW filter on the climatology and forecast skill of the SPEEDY model. Monthly Weather Review, 139 (2). pp. 608-619. ISSN 0027-0644 doi: https://doi.org/10.1175/2010MWR3530.1

Palmer, T. and Williams, P. ORCID: https://orcid.org/0000-0002-9713-9820, eds. (2010) Stochastic physics and climate modelling. Cambridge University Press, Cambridge, UK, pp496. ISBN 9780521761055

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2010) Research resource review: Schultz DM 2009: Eloquent Science: A Practical Guide to Becoming a Better Writer, Speaker and Atmospheric Scientist. Boston, MA: American Meteorological Society. 440 pp. US$45 paper. ISBN: 978 1 878220 91 2. Progress in Physical Geography, 34 (5). pp. 729-731. ISSN 0309-1333 doi: https://doi.org/10.1177/03091333100340050102

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Read, P. L. and Haine, T. W. N. (2010) Testing the limits of quasi-geostrophic theory: application to observed laboratory flows outside the quasi-geostrophic regime. Journal Of Fluid Mechanics , 649. pp. 187-203. ISSN 0022-1120 doi: https://doi.org/10.1017/S0022112009993405

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Guilyardi, E. ORCID: https://orcid.org/0000-0002-2255-8625, Madec, G., Gualdi, S. and Scoccimarro, E. (2010) The role of mean ocean salinity in climate. Dynamics of Atmospheres and Oceans, 49 (2-3). pp. 108-123. ISSN 0377-0265 doi: https://doi.org/10.1016/j.dynatmoce.2009.02.001

Knox, J. A., McCann, D. W. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2009) "Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting" :Reply. Journal of the Atmospheric Sciences, 66 (8). pp. 2511-2516. ISSN 0022-4928 doi: https://doi.org/10.1175/2009JAS3084.1

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2009) A Proposed Modification to the Robert–Asselin Time Filter. Monthly Weather Review, 137 (8). pp. 2538-2546. ISSN 0027-0644 doi: https://doi.org/10.1175/2009MWR2724.1

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Haine, T., Read, P., Lewis, S. and Yamazaki, Y. (2009) QUAGMIRE v1.3: a quasi-geostrophic model for investigating rotating fluids experiments. Geoscientific Model Development, 2 (1). pp. 13-32.

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2009) Rapid climate change: an overview for economists. International Journal of Green Economics, 3 (1). pp. 63-76. ISSN 1744-9928 doi: https://doi.org/10.1504/IJGE.2009.026492

Knox, J.A., McCann, D.W. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2008) Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting. Journal of the Atmospheric Sciences, 65 (10). pp. 3292-3304. ISSN 1520-0469 doi: https://doi.org/10.1175/2008JAS2477.1

Birner, T. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2008) Sudden stratospheric warmings as noise-induced transitions. Journal of the Atmospheric Sciences, 65 (10). pp. 3337-3343. ISSN 1520-0469 doi: https://doi.org/10.1175/2008JAS2770.1

Palmer, T.N. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2008) Introduction. Stochastic physics and climate modelling. Philosophical Transactions of the Royal Society. Part A, 366 (1875). pp. 2421-2427. ISSN 1364-503X doi: https://doi.org/10.1098/rsta.2008.0059

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Haine, T.W.N. and Read, P.L. (2008) Inertia-Gravity Waves Emitted from Balanced Flow: Observations, Properties, and Consequences. Journal of the Atmospheric Sciences, 65 (11). pp. 3543-3556. ISSN 1520-0469 doi: https://doi.org/10.1175/2008JAS2480.1

Read, P., Yamazaki, H., Lewis, S., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Wordsworth, R. and Miki-Yamazaki, K. (2007) Dynamics of convectively driven banded jets in the laboratory. Journal of the Atmospheric Sciences, 64 (11). pp. 4031-4052. ISSN 1520-0469 doi: https://doi.org/10.1175/2007JAS2219.1

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Guilyardi, E. ORCID: https://orcid.org/0000-0002-2255-8625, Sutton, R. T. ORCID: https://orcid.org/0000-0001-8345-8583, Gregory, J. M. ORCID: https://orcid.org/0000-0003-1296-8644 and Madec, G. (2007) A new feedback on climate change from the hydrological cycle. Geophysical Research Letters, 34 (8). L08706. ISSN 0094-8276 doi: https://doi.org/10.1029/2007GL029275

Lewis, A. C., Evans, M. J., Methven, J. ORCID: https://orcid.org/0000-0002-7636-6872, Watson, N. M., Lee, J. D., Hopkins, J. R., Purvis, R., Arnold, S. R., McQuaid, J., Whalley, L. K., Pilling, M. J., Heard, D. E., Monks, P. S., Parker, A. E., Reeves, C. E., Oram, D. E., Mills, G., Bandy, B. J., Stewart, D., Coe, H., Williams, P. I. ORCID: https://orcid.org/0000-0002-9713-9820 and Crosier, J. (2007) Chemical composition observed over the mid-Atlantic and the detection of pollution signatures far from source regions. Journal of Geophysical Research, 112. D10S39. ISSN 0148-0227 doi: https://doi.org/10.1029/2006JD007584

Methven, J. ORCID: https://orcid.org/0000-0002-7636-6872, Arnold, S. R., Stohl, A., Evans, M. J., Avery, M., Law, K., Lewis, A. C., Monks, P. S., Parrish, D. D., Reeves, C. E., Schlager, H., Atlas, E., Blake, D. R., Coe, H., Crosier, J., Flocke, F. M., Holloway, J. S., Hopkins, J. R., McQuaid, J., Purvis, R., Rappengluck, B., Singh, H. B., Watson, N. M., Whalley, L. K. and Williams, P. I. ORCID: https://orcid.org/0000-0002-9713-9820 (2006) Establishing Lagrangian connections between observations within air masses crossing the Atlantic during the International Consortium for Atmospheric Research on Transport and Transformation experiment. Journal of Geophysical Research, 111. D23S62. ISSN 0148-0227 doi: https://doi.org/10.1029/2006JD007540

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Guilyardi, E. ORCID: https://orcid.org/0000-0002-2255-8625, Sutton, R. T. ORCID: https://orcid.org/0000-0001-8345-8583, Gregory, J. M. ORCID: https://orcid.org/0000-0003-1296-8644 and Madec, G. (2006) On the climate response of the low-latitude Pacific Ocean to changes in the global freshwater cycle. Climate Dynamics, 27 (6). pp. 593-611. ISSN 0930-7575 doi: https://doi.org/10.1007/s00382-006-0151-7

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 and Galvin, J. F. P. (2006) A multitude of gravity waves. Weather, 61 (6). p. 180. ISSN 0043-1656 doi: https://doi.org/10.1256/wea.134.04

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2006) Storm in a teacup. Weather, 59 (4). pp. 96-98. ISSN 0043-1656 doi: https://doi.org/10.1256/wea.152.03

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Haine, T. W. N. and Read, P. L. (2005) On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear. Journal Of Fluid Mechanics , 528. pp. 1-22. ISSN 0022-1120 doi: https://doi.org/10.1017/S0022112004002873

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2005) Modelling climate change: the role of unresolved processes. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363 (1837). pp. 2931-2946. ISSN 1364-503X doi: https://doi.org/10.1098/rsta.2005.1676

Read, P. L., Yamazaki, Y. H., Lewis, S. R., Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Miki-Yamazaki, K., Sommeria, J., Didelle, H. and Fincham, A. (2004) Jupiter's and Saturn's convectively driven banded jets in the laboratory. Geophysical Research Letters, 31 (22). L22701. ISSN 0094-8276 doi: https://doi.org/10.1029/2004GL020106

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Haine, T. and Read, P. (2004) Stochastic resonance in a nonlinear model of a rotating, stratified shear flow, with a simple stochastic inertia-gravity wave parameterization. Nonlinear Processes in Geophysics, 11 (1). pp. 127-135. ISSN 1023-5809

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820, Read, P.L. and Haine, T.W.N. (2004) A calibrated, non-invasive method for measuring the internal interface height field at high resolution in the rotating, two-layer annulus. Geophysical & Astrophysical Fluid Dynamics, 98 (6). pp. 453-471. ISSN 0309-1929 doi: https://doi.org/10.1080/03091920412331296366

Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2003) Spontaneous generation and impact of inertia-gravity waves in a stratified, two-layer shear flow. Geophysical Research Letters, 30 (24). 2255. ISSN 0094-8276 doi: https://doi.org/10.1029/2003GL018498

Haine, T. and Williams, P. D. ORCID: https://orcid.org/0000-0002-9713-9820 (2002) The role of nonhydrostatic dynamics in controlling development of a surface ocean front. Ocean modelling, 4 (2). pp. 121-135. ISSN 1463-5003 doi: https://doi.org/10.1016/S1463-5003(01)00014-2