AbstractIn this talk, we consider the reliable implementation of high-order unfitted finite element methods on Cartesian meshes with hanging nodes for elliptic interface problems. We construct a reliable algorithm to merge small interface elements with their surrounding elements to automatically generate the finite element mesh whose elements are large with respect to both domains. We propose n...
AbstractElliptic curves have been studied for a long time for their importance in number theory and applications in cryptography. In this talk, I will explain how interpretable machine learning techniques led to the discovery of a new phenomenon from the dataset of elliptic curves, called "murmuration", which shows a striking oscillating pattern. Understanding this new phenomenon has been a cha...
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