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

Conservation laws and Euler operators

Add to your list(s) Download to your calendar using vCal

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity