Publications

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2012

• "Comment on "A modified leapfrog scheme for shallow water equations" by Wen-Yih Sun and Oliver M. T. Sun"
  Williams, P. D., Computers & Fluids, 62, pp 91, 2012. doi:10.1016/j.compfluid.2012.02.023

• "An improvement in clear-air turbulence forecasting based on spontaneous imbalance theory: the ULTURB algorithm"
  McCann, D. W., Knox, J. A. and Williams, P. D., Meteorological Applications, 19(1), pp 71-78, 2012. doi:10.1002/met.260

2011

• "Meteorological phenomena in Western classical orchestral music"
  Aplin, K. L. and Williams, P. D., Weather, 66(11), pp 300-306, 2011. doi:10.1002/wea.765

• "The RAW filter: an improvement to the Robert-Asselin filter in semi-implicit integrations"
  Williams, P. D., Monthly Weather Review, 139(6), pp 1996-2007, 2011. doi:10.1175/2010MWR3601.1

• "The effects of the RAW filter on the climatology and forecast skill of the SPEEDY model"
  Amezcua, J., Kalnay, E. and Williams, P. D., Monthly Weather Review, 139(2), pp 608-619, 2011. doi:10.1175/2010MWR3530.1

• "Generation of inertia-gravity waves in the rotating thermal annulus by a localised boundary layer instability"
  Jacoby, T. N. L., Read, P. L., Williams, P. D. and Young, R. M. B., Geophysical and Astrophysical Fluid Dynamics, 105(2-3), pp 161-181, 2011. doi:10.1080/03091929.2011.560151

2010

• "Testing the limits of quasi-geostrophic theory: application to observed laboratory flows outside the quasi-geostrophic regime"
  Williams, P. D., Read, P. L. and Haine, T. W. N., Journal of Fluid Mechanics, 649, pp 187-203, 2010. doi:10.1017/S0022112009993405

• "The role of mean ocean salinity in climate"
  Williams, P. D., Guilyardi, E., Madec, G., Gualdi, S. and Scoccimarro, E., Dynamics of Atmospheres and Oceans, 49(2-3), pp 108-123, 2010. doi:10.1016/j.dynatmoce.2009.02.001

2009

• "A proposed modification to the Robert-Asselin time filter"
  Williams, P. D., Monthly Weather Review, 137(8), pp 2538-2546, 2009. doi:10.1175/2009MWR2724.1

• "Reply to comments on 'Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting'"
  Knox, J. A., McCann, D. W. and Williams, P. D., Journal of the Atmospheric Sciences, 66(8), pp 2511-2516, 2009. doi:10.1175/2009JAS3084.1

• "Rapid climate change: an overview for economists"
  Williams, P. D., International Journal of Green Economics, 3(1), pp 63-76, 2009. doi:10.1504/IJGE.2009.026492

• "QUAGMIRE v1.3: a quasi-geostrophic model for investigating rotating fluids experiments"
  Williams, P. D., Haine, T. W. N., Read, P. L., Lewis, S. R. and Yamazaki, Y. H., Geoscientific Model Development, 2(1), pp 13-32, 2009. doi:10.5194/gmd-2-13-2009

2008

• "Inertia-gravity waves emitted from balanced flow: observations, properties, and consequences"
  Williams, P. D., Haine, T. W. N. and Read, P. L., Journal of the Atmospheric Sciences, 65(11), pp 3543-3556, 2008. doi:10.1175/2008JAS2480.1

• "Application of the Lighthill-Ford theory of spontaneous imbalance to clear-air turbulence forecasting"
  Knox, J. A., McCann, D. W. and Williams, P. D., Journal of the Atmospheric Sciences, 65(10), pp 3292-3304, 2008. doi:10.1175/2008JAS2477.1

• "Sudden stratospheric warmings as noise-induced transitions"
  Birner, T. and Williams, P. D., Journal of the Atmospheric Sciences, 65(10), pp 3337-3343, 2008. doi:10.1175/2008JAS2770.1

• "Introduction. Stochastic physics and climate modelling"
  Palmer, T. N. and Williams, P. D., Philosophical Transactions of the Royal Society A, 366(1875), pp 2421-2427, 2008. doi:10.1098/rsta.2008.0059

2007

• "Dynamics of convectively driven banded jets in the laboratory"
  (Corrigendum)
  Read, P. L., Yamazaki, Y. H., Lewis, S. R., Williams, P. D., Wordsworth, R., Miki-Yamazaki, K., Sommeria, J. and Didelle, H., Journal of the Atmospheric Sciences, 64(11), pp 4031-4052, 2007. doi:10.1175/2007JAS2219.1

• "A new feedback on climate change from the hydrological cycle"
  Williams, P. D., Guilyardi, E., Sutton, R. T., Gregory, J. M. and Madec, G., Geophysical Research Letters, 34, L08706, 2007. doi:10.1029/2007GL029275

2006

• "On the climate response of the low-latitude Pacific Ocean to changes in the global freshwater cycle"
  Williams, P. D., Guilyardi, E., Sutton, R. T., Gregory, J. M. and Madec, G., Climate Dynamics, 27(6), pp 593-611, 2006. doi:10.1007/s00382-006-0151-7

2005

• "Modelling climate change: the role of unresolved processes"
  Williams, P. D., Philosophical Transactions of the Royal Society A, 363(1837), pp 2931-2946, 2005. doi:10.1098/rsta.2005.1676

• "On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear"
  Williams, P. D., Haine, T. W. N. and Read, P. L., Journal of Fluid Mechanics, 528, pp 1-22, 2005. doi:10.1017/S0022112004002873

2004

• "A calibrated, non-invasive method for measuring the internal interface height field at high resolution in the rotating, two-layer annulus"
  Williams, P. D., Read, P. L. and Haine, T. W. N., Geophysical and Astrophysical Fluid Dynamics, 98(6), pp 453-471, 2004. doi:10.1080/03091920412331296366

• "Jupiter's and Saturn's convectively driven banded jets in the laboratory"
  Read, P. L., Yamazaki, Y. H., Lewis, S. R., Williams, P. D., Miki-Yamazaki, K., Sommeria, J., Didelle, H. and Fincham, A., Geophysical Research Letters, 31(22), L22701, 2004. doi:10.1029/2004GL020106

• "Storm in a teacup"
  Williams, P. D., Weather, 59(4), pp 96-98, 2004. doi:10.1256/wea.152.03

• "Stochastic resonance in a nonlinear model of a rotating, stratified shear flow, with a simple stochastic inertia-gravity wave parameterization"
  Williams, P. D., Haine, T. W. N. and Read, P. L., Nonlinear Processes in Geophysics, 11(1), pp 127-135, 2004. doi:10.5194/npg-11-127-2004

2003

• "Spontaneous generation and impact of inertia-gravity waves in a stratified, two-layer shear flow"
  Williams, P. D., Read, P. L. and Haine, T. W. N., Geophysical Research Letters, 30(24), 2255, 2003. doi:10.1029/2003GL018498

2002

• "The role of nonhydrostatic dynamics in controlling development of a surface ocean front"
  Haine, T. W. N. and Williams, P. D., Ocean Modelling, 4(2), pp 121-135, 2002. doi:10.1016/S1463-5003(01)00014-2

Books Edited

• "Stochastic Physics and Climate Modelling"
  Palmer, T. N. and Williams, P. D. (eds.), details at www.cambridge.org/9780521761055, Cambridge University Press, pp 496, ISBN 978-0-521-76105-5, 2009.

Journal Special Issues Edited

• "Stochastic Physics and Climate Modelling"
  Palmer, T. N. and Williams, P. D. (eds.), details at http://rsta.royalsocietypublishing.org/site/issues/stochastic-climate.xhtml, Philosophical Transactions of the Royal Society A, 366(1875), pp 2419-2641, 2008.

Books Reviewed

• "Atmospheric Dynamics" by Mankin Mak
  Williams, P. D., Bulletin of the American Meteorological Society, 93(2), pp 242-243, 2012.

• "Eloquent Science: A Practical Guide to Becoming a Better Writer, Speaker and Atmospheric Scientist" by David M. Schultz
  Williams, P. D., Progress in Physical Geography, 34(5), pp 729-731, 2010. doi:10.1177/03091333100340050102

Non-refereed

• "Weather and music: Response"
  Aplin, K. L. and Williams, P. D., Weather, 67(2), pp 54-55, 2012. doi:10.1002/wea.1890

• "Correction [to "How mathematical models can aid understanding of climate"]"
  Balcerak, E., Eos, Transactions, American Geophysical Union, 93(5), p 51, 31 January 2012. doi:10.1029/2012EO050007

• "How mathematical models can aid understanding of climate"
  Williams, P. D., Cullen, M. J. P. and Huthnance, J. M., Eos, Transactions, American Geophysical Union, 92(51), p 482, 20 December 2011. doi:10.1029/2011EO510010

• "How Mathematical Models Can Aid Our Understanding of Climate"
  Williams, P. D., Cullen, M. and Huthnance, J., Mathematics Today, 47(6), p 274, December 2011.

• "Secretary's Report 2009-2010 from the 19th Annual General Meeting held on 26th May 2010"
  Williams, P. D., Institute of Physics Environmental Physics Group newsletter, p 8, October 2010.

• "Geophysical Research Letters: New Policies Improve Top-Cited Geosciences Journal"
  Calais, E., Diffenbaugh, N., D'Odorico, P., Harris, R., Knorr, W., Lavraud, B., Mueller, A., Peterson, W., Rignot, E., Srokosz, M., Strutton, P., Tyndall, G., Wysession, M. and Williams, P., Eos, 91(38), p 337, 21 September 2010.

• "Working Group E report: What Is Climate?"
  Chandler, R. (Chair), Williams, P. D. (Rapporteur), Anderson, C., Crommelin, D., Farmer, C., Held, H., Huthnance, J., Jupp, T., Stainforth, D., Tett, S., Turasie, A., Watkins, N. and Yip, S. Isaac Newton Institute for Mathematical Sciences satellite workshop on Probabilistic Climate Prediction, University of Exeter, 20-23 September 2010.

• "Computer Simulation and the Environment"
  Williams, P. D., Institute of Physics Environmental Physics Group Newsletter, pp 7-8, October 2009.

• "European Meteorological Society Young Scientists Travel Award Report"
  Williams, P. D., on-line at www.emetsoc.org/awards/award_descriptions.php, October 2009.

• "Sudden Stratospheric Warmings as Noise-Induced Transitions"
  Williams, P. D. and Birner, T., NCAS Annual Report 2008-2009, p 25, 2009.

• "MP-Scientist Pairing Scheme: a knowledge transfer case study"
  Williams, P. D., Using NERC Science, on-line at www.nerc.ac.uk/using/casestudies/pairing.asp, March 2009.

• "A multitude of gravity waves"
  Williams, P. D. and Galvin, J. F. P., Weather, 61(6), p 180, 2006. doi:10.1256/wea.134.04

• "Modelling planetary atmospheres: problems and solutions"
  Williams, P. D., The Observatory, 125(1187), pp 204-207, August 2005.

• "Working Group 3 report: The parameterisation problem in weather and climate models"
  Ghil, M., Berloff, P., Buizza, R., Hermanson, L., Miller, M., Palmer, T., Roulstone, I., Sardeshmukh, P. and Williams, P. D., In Proceedings of the Workshop on Representation of Sub-Grid Processes using Stochastic-Dynamic Models, pp xvii-xxii, ECMWF, 6-8 June 2005.

• "Climate change prediction: a challenging scientific problem"
  Williams, P. D., Institute of Physics Environmental Physics Group Newsletter, pp 5-6, Spring 2005.

• "Global Warming, Local Warning: a study of the likely impacts of climate change upon South East England"
  Williams, P. D., commissioned by Dr. Caroline Lucas MEP, published by the European Parliament, Brussels, pp 16, 2004.

• "Climate change and the thermohaline circulation"
  Williams, P. D., Institute of Physics Environmental Physics Group Newsletter, pp 9-10, Spring 2004.

• "QUAGMIRE: QUAsi-Geostrophic Model for Investigating Rotating fluids Experiments. Reference Manual for Version 1.2"
  Williams, P. D., Haine, T. W. N., Read, P. L., Lewis, S. R. and Yamazaki, Y. H., AOPP Technical Memorandum Series 2004.3, Department of Physics, University of Oxford, pp 27, 2004.

• "Storm in a teacup"
  Williams, P. D., The Grove: Lincoln College Murray Society Newsletter, 1(11), Summer 2003.

• "Nonlinear interactions of fast and slow modes in rotating, stratified fluid flows"
  Williams, P. D., D.Phil. thesis, Department of Physics, University of Oxford, pp 205, 2003.

• "Royal Meteorological Society Legacies Fund Report"
  Williams, P. D., on-line at www.rmets.org/activities/awards/grants/detail.php?ID=264, April 2003.

• "Finger on the button"
  Williams, P. D., The Oxford Student, 28 February 2002.

• "Interactions of 'fast' and 'slow' modes in rotating, stratified flows"
  Williams, P. D., D.Phil. Third Year Report, Department of Physics, University of Oxford, pp 6, 2002.

• "Interactions of 'fast' and 'slow' modes in rotating, stratified flows"
  Williams, P. D., D.Phil. Second Year Report, Department of Physics, University of Oxford, pp 52, 2001.

• "Interactions of 'fast' and 'slow' modes in rotating, stratified flows"
  Williams, P. D., D.Phil. First Year Report, Department of Physics, University of Oxford, pp 59, 2000.

• "Comparison of the Non-Hydrostatic, Hydrostatic and Convectively-Adjusted Navier-Stokes Equations in Physical Oceanography"
  Williams, P. D., M.Phys. report, Department of Physics, University of Oxford, pp 50, 1998.