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SUMMARY:Conservation laws and Euler operators - Peter Hydon (University of
  Kent)
DTSTART:20190911T130000Z
DTEND:20190911T140000Z
UID:TALK129661@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:A (local) conservation law of a given system of differential o
 r difference equations is a divergence expression that is zero on all solu
 tions. The Euler operator is a powerful tool in the formal theory of conse
 rvation laws that enables key results to be proved simply\, including seve
 ral generalizations of Noether&#39\;s theorems.&nbsp\; This talk begins wi
 th a short survey of the main ideas and results.  &nbsp\;  The current met
 hod for inverting the divergence operator generates many unnecessary terms
  by integrating in all directions simultaneously. As a result\, symbolic a
 lgebra packages create over-complicated representations of conservation la
 ws\, making it difficult to obtain efficient conservative finite differenc
 e approximations symbolically. A new approach resolves this problem by usi
 ng partial Euler operators to construct near-optimal representations. The 
 talk explains this approach\, which was developed during the GCS programme
 .  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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