iFEM is a MATLAB software package containing robust, efficient, and easy-following codes for the main building blocks of adaptive finite element methods on unstructured simplicial grids in both two and three dimensions. Besides the simplicity and readability, sparse matrixlization, an innovative programming style for MATLAB, is introduced to improve the efficiency. In this novel coding style, the sparse matrix and its operations are used extensively in the data structure and algorithms.
The purpose of this talk is to introduce the concept of quantum ergodicity of the eigenfunctions of the Laplacian and show its relation to the classical ergodicity of the geodesic flow on Riemannian manifolds. The talk is somewhat elementary and no background on Riemannian geometry or dynamical systems is necessary.
