EMSW21-RTG - Program in Applied and Computational Analysis

该计划是由德克萨斯大学奥斯汀分校数学系和计算工程与科学研究所（ICES）主持的应用和计算分析领域。目标是创建一个应用和计算数学的示范项目，包括提高本科生的研究经验（REU），缩短毕业时间，为研究生提供更强的应用数学背景，以及最高水平的博士后指导，所有这些都将通过课程和考试改革，新的本科生集中，新的综合研讨会和工作组系列，夏季项目和积极的指导计划来实现。所提议的工作的智力价值是基于应用和计算分析作为基础领域，将数学与大学内外的自然科学和社会科学以及工程的不同应用领域联系起来。重点将放在非线性理论和微分方程的计算上，它们从应用的角度给出了科学和技术中最基本的数学模型。对年轻的、训练有素的数学家的需求从未像现在这样高，他们能够连接到不同的应用领域。在地方一级，拟议的计划将有助于增加对数学感兴趣的学生人数，在国家一级，它将成为类似举措的示范计划。

The proposed program is the area of applied and computational analysis to be hosted by the Department of Mathematics and the Institute for Computational Engineering and Sciences (ICES) at the University of Texas at Austin. The goal is the creation of a model program in applied and computational mathematic that will include enhanced undergraduate research experience (REU), reduced time to graduation and stronger background in applicable mathematics for graduate students, and the highest level of postdoctoral mentoring, all to be achieved by curriculum and examination reform, new undergraduate concentrations, new integrated seminar and working group series, summer programs, and an active mentoring program.The intellectual merit of the proposed work is based on applied and computational analysis as the fundamental field that links mathematics to the different areas of applications in the natural and social sciences and engineering both within and outside of the university. Focus will be on non-linear theory and computations of differential equations, which give the most fundamental of mathematical models in science and technology from an applied point of view. The need for young, well-trained mathematicians capable of connecting to diverse areas of applications has never been higher. At the local level, the proposed program will contribute towards the increase of the number of students attracted to mathematics, and, at the national level, it will serve as a model program for similar initiatives.