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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Conservation laws and Euler operators

## Conservation laws and Euler operatorsAdd to your list(s) Download to your calendar using vCal - Peter Hydon (University of Kent)
- Wednesday 11 September 2019, 14:00-15:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact INI IT. GCS - Geometry, compatibility and structure preservation in computational differential equations A (local) conservation law of a given system of differential or difference equations is a divergence expression that is zero on all solutions. The Euler operator is a powerful tool in the formal theory of conservation laws that enables key results to be proved simply, including several generalizations of Noether's theorems. This talk begins with a short survey of the main ideas and results. The current method for inverting the divergence operator generates many unnecessary terms by integrating in all directions simultaneously. As a result, symbolic algebra packages create over-complicated representations of conservation laws, making it difficult to obtain efficient conservative finite difference approximations symbolically. A new approach resolves this problem by using partial Euler operators to construct near-optimal representations. The talk explains this approach, which was developed during the GCS programme. 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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