Timothy Williams

Research interests
My main expertise is in applied mathematics, modelling water wave propagation in the presence of floating bodies (like ice sheets, for example). I have other interests in elasticity, wave propagation in random media, and mathematical techniques such as the Wiener-Hopf and residue calculus techniques. I am currently working on including the interactions between waves and sea ice in the new sea ice model neXtSIM that is being developed at NERSC.
Project deputy leader of the following projects
Peer Review Publications and Books
29 total publications.
2022
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Safer Operations in Changing Ice-Covered Seas: Approaches and Perspectives. In: IUTAM Symposium on Physics and Mechanics on Sea Ice. 2022.
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An evaluation of the performance of sea ice thickness forecasts to support arctic marine transport. Journal of Marine Science and Engineering. 2022;10(2).
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Driving Mechanisms of an Extreme Winter Sea Ice Breakup Event in the Beaufort Sea. Geophysical Research Letters. 2022;49(12).
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A new brittle rheology and numerical framework for large-scale sea-ice models. Journal of Advances in Modeling Earth Systems. 2022;14(8).
2021
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Wave–sea-ice interactions in a brittle rheological framework. The Cryosphere. 2021;15(1)..
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Presentation and evaluation of the Arctic sea ice forecasting system neXtSIM-F. The Cryosphere. 2021;15(7)..
2019
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On the multi-fractal scaling properties of sea ice deformation. The Cryosphere. 2019;13(9).
2017
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Wave-ice interactions in the neXtSIM sea-ice model. The Cryosphere. 2017;11(5)..
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Sea Ice Physics and Modelling. In: Sea Ice Analysis and Forecasting - Towards an Increased Reliance on Automated Prediction Systems. 2017.
2015
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Water wave transmission by an array of floating disks. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. 2015;471(2173)..
2014
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Effective antiplane elastic properties of an orthotropic solid weakened by a periodic distribution of cracks. Quarterly Journal of Mechanics and Applied Mathematics. 2014;67(2)..
2013
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Wave–ice interactions in the marginal ice zone. Part 1: Theoretical foundations. Ocean Modelling. 2013;71:81 - 91..
2012
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The effect on bending waves by defects in pinned elastic plates. Journal of Sound and Vibration. 2012;331(23)..
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The effect on bending waves by defects in pinned elastic plates. J. Sound Vib. 2012;331:20..
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The Wiener-Hopf and residue calculus solutions for a submerged semi-infinite elastic plate. J. Eng. Maths. [Internet]. 2012;75:81-106. Available from: http://www.springerlink.com/content/w06017420l6p3l6l/.
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The Wiener-Hopf and residue calculus solutions for a submerged semi-infinite elastic plate. Journal of Engineering Mathematics. 2012;75(1)..
2010
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On the estimation of sea-ice thickness using wave observations. Dynamics of Atmospheres and Oceans. 2010;49:215–233..
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Wave scattering by ice floes and polynyas of arbitrary shape. J. Fluid Mech. 2010;662:5-35..
Other Publications
2004
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Scattering of oblique ice-coupled waves by a pressure ridge. IAHR Symposium on Ice. 2004;1:227–234..