Date:	Wed, October 13, 2010
Time:	11:15
Place:	Research I Seminar Room

Abstract: I will explain the interplay of grid and grid-free approximation schemes in the so-called Hamiltonian particle-mesh method. A crucial ingredient are periodic partitions of unity whose order of reproduction is controlled by the so-called Strang-Fix conditions. The talk will focus on how these techniques feature in the proof of convergence of the Hamiltonian particle-mesh method, explain a current gap between the best analytical results and observed numerical behavior, and pose, as an open question, the type of result necessary to narrow this gap.

This is joint work with Vladimir Molchanov.