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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Numerical preservation of local conservation laws
- Gianluca Frasca-Caccia (University of Kent)
DTSTART;TZID=Europe/London:20190911T150000
DTEND;TZID=Europe/London:20190911T160000
UID:TALK129667AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/129667
DESCRIPTION:In the numerical treatment of partial differential
equations (PDEs)\, the benefits of preserving glo
bal integral invariants are well-known. Preserving
the underlying local conservation law gives\, in
general\, a stricter constraint than conserving th
e global invariant obtained by integrating it in s
pace. Conservation laws\, in fact\, hold throughou
t the domain and are satisfied by all solutions\,
independently of initial and boundary conditions.
A new approach that uses symbolic algebra to deve
lop bespoke finite difference schemes that preserv
e multiple local conservation laws has been recent
ly applied to PDEs with polynomial nonlinearity.
The talk illustrates this new strategy using some
well-known equations as benchmark examples and sho
ws comparisons between the obtained schemes and ot
her integrators known in literature.

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