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Partial Differential Equations

A substantial number of members of the Department are working on partial differential equations (PDEs) of one form or another. Interests range from rigorous analytical studies to the numerical solution of equations with computers.

Topics include:

Equations with a geometric flavour, which often arise from the Calculus of Variations.

Equations with a stochastic component.

Dynamical Systems over laps with the field of PDEs. For example, the dynamics of the Navier-Stokes equations.

The numerical solution of PDEs.