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SUMMARY:Numerical preservation of local conservation laws - Gianluca Frasc
 a-Caccia  (University of Kent)
DTSTART:20190911T140000Z
DTEND:20190911T150000Z
UID:TALK129667@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In the numerical treatment of partial differential equations (
 PDEs)\, the benefits of preserving global integral invariants are well-kno
 wn. Preserving the underlying local conservation law gives\, in general\, 
 a stricter constraint than conserving the global invariant obtained by int
 egrating it in space. Conservation laws\, in fact\, hold throughout the do
 main and are satisfied by all solutions\, independently of initial and bou
 ndary conditions.  A new approach that uses symbolic algebra to develop be
 spoke finite difference schemes that preserve multiple local conservation 
 laws has been recently applied to PDEs with polynomial nonlinearity.  The 
 talk illustrates this new strategy using some well-known equations as benc
 hmark examples and shows comparisons between the obtained schemes and othe
 r integrators known in literature.  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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