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Thursday 09 Oct 2014MAGIC launch: Noether's Theorem 100 years on

Prof. Elizabeth Mansfield - Univ. of Kent

Harrison 103 15:00-16:00

In 1918, Emmy Noether showed how to calculate conserved quantities for variational problems which have a Lie symmetry, such as invariance under translations and rotations in time and space. Noether obtained the complete
result, including the case of invariance under pseudo group actions.

In this talk I will show how Noether's two theorems have been updated to finite difference and to numerical schemes. One outstanding motivation is the desire to incorporate a particular conservation law, potential vorticity, into numerical schemes, needed (I am told) for extreme weather prediction.

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