Timothy Williams

Job Position: 
Researcher
Research Group: 
E-mail: 
Phone: 
+47 465 48 931
Timothy Williams Staff Picture

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

  1. neXtWIM: Waves in a next-generation sea ice model
  2. SWARP: Ships and Waves Reaching Polar Regions
  3. WIFAR: Waves-in-Ice Forecasting for Arctic Operators

Peer Review Publications and Books

23 total publications.

2017

  1. Williams T, Rampal P, Bouillon S. Wave-ice interactions in the neXtSIM sea-ice model. The Cryosphere. 2017;11(5).
  2. Aksenov Y, Popova EE, Yool A, Nurser GAJ, Williams T, Bertino L, et al. On the future navigability of Arctic sea routes: High-resolution projections of the Arctic Ocean and sea ice. Marine Policy. 2017;75.

2015

  1. Bennetts LG, Williams T. Water wave transmission by an array of floating disks. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. 2015;471(2173).

2014

  1. Williams T, Parnell WJ. 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

  1. Squire V, Williams T, Bennetts LG. Better Operational Forecasting for Contemporary Arctic via Ocean Wave Integration. International Journal of Offshore and Polar Engineering. 2013;23(2).
  2. Williams T, Bennetts LG, Squire VA, Dumont D, Bertino L. Wave–ice interactions in the marginal ice zone. Part 1: Theoretical foundations. Ocean Modelling. 2013;71:81 - 91.
  3. Williams T, Bennetts L, Squire V, Dumont D, Bertino L. Wave-ice interactions in the marginal ice zone. Part 1: Theoretical foundations. Ocean Modelling. 2013;71.
  4. Williams T, Bennetts L, Squire V, Dumont D, Bertino L. Wave–ice interactions in the marginal ice zone. Part 2: Numerical implementation and sensitivity studies along 1D transects of the ocean surface. Ocean Modelling. 2013;71.

2012

  1. Williams T, Meylan MH. 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/
  2. Smith MJA, Porter R, Williams T. The effect on bending waves by defects in pinned elastic plates. J. Sound Vib. 2012;331:20.
  3. Williams T, Meylan MH. The Wiener-Hopf and residue calculus solutions for a submerged semi-infinite elastic plate. Journal of Engineering Mathematics. 2012;75(1).
  4. Smith MJA, Porter R, Williams T. The effect on bending waves by defects in pinned elastic plates. Journal of Sound and Vibration. 2012;331(23).

2010

  1. Bennetts LG, Williams T. Wave scattering by ice floes and polynyas of arbitrary shape. J. Fluid Mech. 2010;662:5-35.
  2. Williams T, Squire VA. On the estimation of sea-ice thickness using wave observations. Dynamics of Atmospheres and Oceans. 2010;49:215–233.

2009

  1. Williams T, Porter R. 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

  1. Williams T, Squire VA. Wave propagation across sea-ice thickness changes. Ocean Modelling. 2008;21:1–11.
  2. Williams T, Squire VA. The effect of submergence on wave scattering across a transition between two floating flexible plates. Wave Motion. 2008;45:361–379.

2007

  1. Williams T, Squire VA. Wave scattering at the sea-ice/ice-shelf transition with other applications. SIAM J. Appl. Math. 2007;67:938–959.
  2. Vaughan GL, Williams T, Squire VA. Perfect transmission and asymptotic solutions for reflection of ice-coupled waves by inhomogeneities. Wave Motion. 2007;44:371–384.

2006

  1. Williams T, Squire VA. Scattering of flexural-gravity waves at the boundaries between three floating sheets with applications. J. Fluid Mech. 2006;569:113-140.

Other Publications

2004

  1. Williams T. Scattering of oblique ice-coupled waves by a pressure ridge. IAHR Symposium on Ice. 2004;1:227–234.
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Nansen Environmental and Remote Sensing Center
(Bergen, Norway)
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Nansen International Environmental and Remote Sensing Center
(St. Petersburg, Russia)
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Nansen-Bangladesh International Centre for Coastal, Ocean and Climate Studies
(Dhaka, Bangladesh)
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Nansen Environmental Research Center – India
(Cochin, India)
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Nansen–Zhu International Research Centre
(Beijing, China)
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Nansen-Tutu Centre for Marine Environmental Research
(Cape Town, South Africa)