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Some results in the long time analysis of Hamiltonian PDEs and their numerical approximations

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GCS - Geometry, compatibility and structure preservation in computational differential equations

I will review some results concerning the long time behavior of Hamiltonian PDEs, and address
similar questions for their numerical approximation. I will show numerical resonances can appear
both in space and time. I will also discuss the long time stability of solitary waves evolving
on a discret set of lattice points. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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