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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Conservation laws and Euler operators - Peter Hydo
n (University of Kent)
DTSTART;TZID=Europe/London:20190911T140000
DTEND;TZID=Europe/London:20190911T150000
UID:TALK129661AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129661
DESCRIPTION:A (local) conservation law of a given system of di
fferential or difference equations is a divergence
expression that is zero on all solutions. The Eul
er operator is a powerful tool in the formal theor
y of conservation laws that enables key results to
be proved simply\, including several generalizati
ons of Noether'\;s theorems. \; This talk b
egins with a short survey of the main ideas and re
sults. \; The current method for inverting
the divergence operator generates many unnecessary
terms by integrating in all directions simultaneo
usly. As a result\, symbolic algebra packages crea
te over-complicated representations of conservatio
n laws\, making it difficult to obtain efficient c
onservative finite difference approximations symbo
lically. A new approach resolves this problem by u
sing partial Euler operators to construct near-opt
imal representations. The talk explains this appro
ach\, which was developed during the GCS programme
.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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