Amick lectures, June 4,7 and 8, in Ryerson 251 at 4PM John Guckenheimer 1. Computing Periodic Orbits of Vector Fields June 9 John Strain , U. of California, Berkeley Modular methods for moving interfaces An efficient and accurate new numerical method for solving general moving interface problems such as dendritic solidification is presented. The method combines a re-initialized level set approach and a general velocity extension with an explicit unconditionally stable time stepping scheme. It merges moving interfaces naturally with large time steps, and builds an adaptive tree mesh to achieve almost optimal efficiency. An efficient new re-initializing technique based on trees enhances the method.
Further results show that complex merging interfaces are computed accurately and efficiently.
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