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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Numerical preservation of local conservation laws

## Numerical preservation of local conservation lawsAdd to your list(s) Download to your calendar using vCal - Gianluca Frasca-Caccia (University of Kent)
- Wednesday 11 September 2019, 15:00-16:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. GCS - Geometry, compatibility and structure preservation in computational differential equations In the numerical treatment of partial differential equations (PDEs), the benefits of preserving global integral invariants are well-known. Preserving the underlying local conservation law gives, in general, a stricter constraint than conserving the global invariant obtained by integrating it in space. Conservation laws, in fact, hold throughout the domain and are satisfied by all solutions, independently of initial and boundary conditions. A new approach that uses symbolic algebra to develop bespoke 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 benchmark examples and shows comparisons between the obtained schemes and other integrators known in literature. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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