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Rigorous Computation of Radially Symmetric Stationary Solutions of PDEs
Chris Groothedde
Étudiant au doctorat
VU University Amsterdam, Pays-Bas

We shall take a look at rigorous numerical techniques that can be used to prove the existence of stationary solutions of radially symmetric PDEs. By using a spline approximation, we can numerically compute an approximate candidate solution. By then combining numerical methods with functional analytic estimates, we then provide a computer-assisted prove for the existence of a true solution in a small neighbourhood of our candidate by means of the so called ‘radii-polynomial approach’.

Date: 2014-12-02 à 09:30
Endroit: PLT-2569