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SUMMARY:Solving discontinuous problems with pseudospectral methods - Joann
 a Piotrowska
DTSTART:20191016T100000Z
DTEND:20191016T103000Z
UID:TALK133165@talks.cam.ac.uk
CONTACT:Will Handley
DESCRIPTION:Pseudospectral schemes are a class of numerical methods succes
 sful at solving PDEs (Partial Differential Equations) with high accuracy d
 ue to their exponential convergence onto smooth solutions. Unfortunately\,
  when applied to discontinuous problems\, such as fluid shocks and materia
 l interfaces\, pseudospectral solutions lose their superb convergence and 
 suffer from spurious oscillations owing to the Gibbs’ phenomenon. I woul
 d like to present one of the proposed remedies for these issues – adapti
 ve smoothing in the reconstruction space\, introducing this post-processin
 g technique and briefly discussing our results on its practical applicatio
 n to 1D and 2D problems.\n
LOCATION:Battcock Tea area
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