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SUMMARY:Four perspectives on the numerical solution of PDE-constrained opt
 imization problems - John Pearson (University of Kent)
DTSTART:20160324T140000Z
DTEND:20160324T150000Z
UID:TALK64104@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:PDE-constrained optimization problems have a wide range of app
 lications across numerical mathematics and applied science\, so it is impo
 rtant to develop fast and feasible methods to solve such problems. We empl
 oy preconditioned iterative methods to tackle the large and sparse matrix 
 systems that arise from their discretization\, and consider a range of iss
 ues related to these solvers. In particular\, we discuss applications of r
 eaction-diffusion control problems in chemistry and biology\, strategies f
 or handling additional box constraints on the PDE variables\, approaches f
 or problems involving fractional derivatives\, and deferred correction met
 hods for time-dependent problems.
LOCATION:MR 14\, CMS
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