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SUMMARY:Multistep methods for hyperbolic systems with relaxation and optim
 al control problems.  - Giacomo Albi (Università degli Studi di Verona)
DTSTART:20220524T111500Z
DTEND:20220524T121500Z
UID:TALK173597@talks.cam.ac.uk
DESCRIPTION:We are concerned with the development of high-order space and 
 time numerical methods based on multistep time integrators for hyperbolic 
 systems with relaxation and optimal control problems. From the computation
 al point of view\, standard numerical methods designed for the fluid-dynam
 ic scaling of hyperbolic systems with relaxation present several drawbacks
  and typically lose efficiency in describing the parabolic limit regime. F
 irst\, we will present IMEX linear multistep methods\, which are able to h
 andle all the different scales and capture the correct asymptotic behavior
 \, independently from its nature\, without time step restrictions imposed 
 by the fast scales. Secondly\, we will focus on the properties of multi-st
 ep schemes for time discretization of adjoint equations arising in optimal
  control problems\, in particular when the constrain corresponds to hyperb
 olic relaxation systems and kinetic equations. Different numerical example
 s will confirm the theoretical analysis.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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