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SUMMARY:Mixed order and multirate variational integrators for the simulati
 on of dynamics on different time scales - Sigrid  Leyendecker (Friedrich-A
 lexander-Universität Erlangen-Nürnberg)
DTSTART:20190904T140000Z
DTEND:20190904T150000Z
UID:TALK129427@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Mechanical systems with dynamics on varying time scales\, e.g.
  including highly oscillatory motion\, impose challenging questions for nu
 merical integration schemes. High resolution is required to guarantee a st
 able integration of the fast frequencies. However\, for the simulation of 
 the slow dynamics\, integration with a lower resolution is accurate enough
  - and computationally cheaper\, especially for costly function evaluation
 s. Two approaches are presented\, a mixed order Galerkin variational integ
 rator and a multirate variational integrator\, and analysed with respect t
 o the preservation of invariants\, computational costs\, accuracy and line
 ar stability.  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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