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Partial Differential Equations

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A substantial proportion of the Department is working on partial differential equations of one form or another, and interests range from rigorous analytical studies to the numerical solution of equations with computers.

Equations with a geometric flavour are studied by Topping and Micallef. These often arise from the Calculus of Variations which is an area of specialisation of Topping, Micallef and Friesecke.

Equations with a stochastic component are studied by Elworthy, Robinson J Tribe and Stuart.

Dynamical systems overlaps with the field of PDE. For example Robinson J studies the dynamics of the Navier-Stokes equations.

The numerical solution of PDE is investigated by Barkley, Plechac and Stuart.

Other users of PDE include Nazarenko, Baesens, Burroughs, Kozlovski, MacKay, Rand, Stewart, Zaboronski.

Research Areas
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