Career: Wavelet Methods: Connecting Theory and Application

基于小波的数值方法在科学和工程的许多领域中变得越来越重要，因为它们提供了强大的分析和算法工具。 该项目包括一个基础广泛的基础和应用研究计划，旨在推进基于小波的数值建模，计算和分析工具的最新发展。 该程序围绕三个基本组成部分：1）第二代小波; 2）分层几何描述; 3）构建强大的和可扩展的算法，用于3D域上潜在问题的数值解。 这项研究将与旨在将研究见解直接转化为学生和外部工程师和研究人员的相关实践的教育举措齐头并进。

Wavelet based numerical techniques are becoming important in many areas of science and engineering because they provide powerful analytic and algorithmic tools. This project consists of a broadly based program of fundamental and applied research directed at advancing the state of the art of wavelet based numerical modeling, computation, and analysis tools. This program is centered around three fundamental components: 1) Second generation wavelets; 2) hierarchical geometry descriptions; 3) construction of robust and scalable algorithms for the numerical solution of potential problems over 3D domain. This research will go hand in hand with educational initiatives which aim to move insights from research directly into the relevant practice of students and external engineers and researchers.