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
25 total publications.
2019
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On the multi-fractal scaling properties of sea ice deformation. The Cryosphere. 2019;13.
2017
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. Wave-ice interactions in the neXtSIM sea-ice model. The Cryosphere. 2017;11(5).
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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. Better Operational Forecasting for Contemporary Arctic via Ocean Wave Integration. International Journal of Offshore and Polar Engineering. 2013;23(2).
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. Wave–ice interactions in the marginal ice zone. Part 1: Theoretical foundations. Ocean Modelling. 2013;71:81 - 91.
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. Wave-ice interactions in the marginal ice zone. Part 1: Theoretical foundations. Ocean Modelling. 2013;71.
2012
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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 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. Journal of Engineering Mathematics. 2012;75(1).
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. The effect on bending waves by defects in pinned elastic plates. Journal of Sound and Vibration. 2012;331(23).
2010
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. Wave scattering by ice floes and polynyas of arbitrary shape. J. Fluid Mech. 2010;662:5-35.
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. On the estimation of sea-ice thickness using wave observations. Dynamics of Atmospheres and Oceans. 2010;49:215–233.
2009
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. The effect of submergence on the scattering by the interface between two semi-infinite sheets. Journal of Fluids and Structures. 2009;25:777–793.
2008
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. Wave propagation across sea-ice thickness changes. Ocean Modelling. 2008;21:1–11.
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. The effect of submergence on wave scattering across a transition between two floating flexible plates. Wave Motion. 2008;45:361–379.
2007
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. Wave scattering at the sea-ice/ice-shelf transition with other applications. SIAM J. Appl. Math. 2007;67:938–959.
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.
