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University of Waterloo vs. University of Delaware (Applied math PhD)

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So these are my final choices, and I should be deciding pretty soon. I need some advice, they both have strong departments on my research area, which is numerical solution of PDE's. While Waterloo has a lot research going on hyperbolic equations and fluid dynamics (my current topic) . U Delaware has one of the leading professors on the area of radial basis functions applied to the solution of PDE's and on water waves.

What do you think? How are the reputations of these two departments?

Edited by aber_leider
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