REU Site: Applied Mathematics Research Experience -- Theory, Applications, and Numerics

REU 网站：应用数学研究经验——理论、应用和数值

• 批准号: 1560401
• 负责人: Youn-Sha Chan
• 金额: $ 28万
• 依托单位: University of Houston - Downtown
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-04-01 至 2022-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1560401&HistoricalAwards=false
• 关键词: REU; Site; Applied; Mathematics; Research

This award provides support to the University of Houston-Downtown to host an interdisciplinary research experience for undergraduates (REU) program developed to build bridges between students with mathematical backgrounds and students interested in engineering and biological sciences. Students will conduct collaborative research projects requiring extensive application of mathematical skills in interdisciplinary research teams. The program consists of three major components: theory, experiments, and numerics, and it aims to provide students a complete and balanced research experience. The program will host ten undergraduate students each summer for eight weeks. The research experience has been designed with three specific aims: (1) increase the number of undergraduates, particularly under-represented groups, engaged in collaborative research on projects that require quantitative methods in the sciences; (2) train and educate students to communicate research findings effectively across both the sciences and mathematics; (3) encourage students to pursue careers employing the intellectual and computational skills featured in their REU experience. The students in this REU program will learn and participate in the applied mathematics research fields that include problems in solid mechanics and plant transport systems. The central theme is on the governing partial differential equations, which include equations of linear elasticity, transport equations, and diffusion equations. All projects also include a laboratory and/or fieldwork component that gives students a firsthand experience in collecting data underlying the models. These models will be studied through a combination of qualitative analysis and numerical simulation. Effects of parameter variation will be surveyed to interpret the results and to formulate practical conclusions. All student participants will apply a complete cycle of the scientific method.

该奖项为休斯顿大学市中心分校提供支持，以举办本科生跨学科研究体验（REU）项目，旨在在具有数学背景的学生和对工程和生物科学感兴趣的学生之间建立桥梁。学生将进行合作研究项目，需要在跨学科研究团队中广泛应用数学技能。该计划包括三个主要组成部分：理论，实验和数值，它旨在为学生提供一个完整和平衡的研究经验。该计划将每年夏天举办十名本科生，为期八周。研究经验的设计有三个具体目标：（1）增加本科生的数量，特别是代表性不足的群体，参与需要科学定量方法的项目的合作研究;（2）培训和教育学生有效地交流科学和数学方面的研究成果;（3）鼓励学生追求就业的智力和计算技能，在他们的REU经验特色的职业生涯。该REU计划的学生将学习和参与应用数学研究领域，包括固体力学和植物运输系统的问题。中心主题是关于偏微分方程，其中包括线弹性方程，输运方程和扩散方程。所有项目还包括实验室和/或实地考察部分，为学生提供收集模型基础数据的第一手经验。这些模型将通过定性分析和数值模拟相结合的方式进行研究。将调查参数变化的影响，以解释结果，并制定实际的结论。所有学生参与者将应用科学方法的完整周期。