EMSW21-RTG - Program in Applied and Computational Analysis

EMSW21-RTG - 应用和计算分析程序

• 批准号: 0636586
• 负责人: Irene Gamba
• 金额: $ 209.86万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-06-15 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0636586&HistoricalAwards=false
• 关键词: EMSW21; RTG; Program; Applied; Computational

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.

拟议的项目属于应用和计算分析领域，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) 主办。目标是创建一个应用和计算数学的模型项目，其中包括增强本科生研究经验（REU）、缩短毕业时间、增强研究生的应用数学背景，以及最高水平的博士后指导，所有这些都将在通过课程和考试改革、新的本科专业、新的综合研讨会和工作组系列、暑期项目和积极的指导计划来实现。拟议工作的智力价值基于应用和计算分析作为将数学与数学联系起来的基本领域。自然和社会的不同应用领域大学内外的科学和工程。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技术中最基本的数学模型。对能够连接不同应用领域的年轻、训练有素的数学家的需求从未如此强烈。在地方一级，拟议的计划将有助于增加数学所吸引的学生数量，而在国家一级，它将成为类似举措的示范计划。