RTG: An Interdisciplinary Research Training Program in Applied Mathematics, Computational Science, and Mathematical Physics

RTG：应用数学、计算科学和数学物理的跨学科研究培训项目

• 批准号: 1345013
• 负责人: Randolph Bank
• 金额: $ 183.77万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-08-01 至 2024-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1345013&HistoricalAwards=false
• 关键词: RTG; Interdisciplinary; Research; Training; Program

This project involves a coordinated training program for post-doctoral researchers, graduate students and undergraduate students that give equal emphasis to theory, computation and application---the three cornerstones of modern research in applied mathematics. A fundamental goal of the project is to provide the students and postdoctoral researchers with the intellectual and software tools that they need to engage in cutting-edge research in either a university or industry based environment. The 5-year program is designed to fund up to 6 postdoctoral researchers, 10 graduate students, and 3 undergraduate students during the academic year and summer session. These postdocs and students will be organized into team-based research groups, with each team being coordinated and mentored by two or more of the Investigators. The research topic of each assembled team will reflect the diverse range of areas in applied mathematics, computational and data science, and mathematical physics that are focus areas of the Investigators. The cross-disciplinary aspects of the training program will be enhanced substantially by the newly developed interdisciplinary Computational Science, Mathematics, and Engineering (CSME) Doctoral Program at UCSD. An RTG outreach program includes elements devoted to the training of local-area high-school teachers on the important role of computational and applied mathematics in our society. Efforts will focus on local-area high schools that provide intensive college preparatory education for low- income students. The technology produced by this award will include mathematical algorithms, analyses, and numerical software that will provide powerful tools for the exploration of multiscale models in physics, chemistry, biology, engineering and medicine. The results will potentially impact the formulation, analysis and development of methods for critical complex multiscale and multiphysics problems that have a fundamental impact on the US economy. RTG-sponsored students and postdocs will participate in the application of mathematical sciences to a range of research projects involving such diverse areas as undersea oil exploration, optimal power scheduling, drug design and organ modeling. Our outreach program to local-area high-schools will encourage students in under-represented groups to choose careers in applied mathematics and computational science. At the national level, the project will make a positive contribution towards achieving the long range goal of the RTG program of expanding the work force of well-prepared US citizens, nationals and permanent residents in the mathematical sciences. In addition, the project will make an important contribution in the direction of the NSF-wide, and more generally, national priority of nurturing the crucial role of the basic mathematical sciences in interdisciplinary research.

该项目涉及针对博士后研究人员，研究生和本科生的协调培训计划，该计划同等地强调理论，计算和应用 - 这是应用数学现代研究的三个基石。该项目的一个基本目标是为学生和博士后研究人员提供知识和软件工具，以便在大学或行业的环境中从事尖端研究所需的知识和软件工具。这项为期5年的课程旨在在学年和夏季课程中最多提供6位博士后研究人员，10名研究生和3名本科生。 这些博士后和学生将被组织成基于团队的研究小组，每个团队都由两个或更多的调查员协调和指导。每个组装团队的研究主题将反映应用数学，计算和数据科学以及数学物理学的各个领域，这些领域是研究人员的焦点领域。 培训计划的跨学科方面将通过UCSD的新开发的跨学科计算科学，数学和工程学（CSME）博士学位大大增强。 RTG外展计划包括致力于培训本地地区高中老师的元素，涉及计算和应用数学在我们社会中的重要作用。努力将集中于为低收入学生提供强化大学预科教育的地方地区高中。 该奖项生产的技术将包括数学算法，分析和数值软件，该软件将为探索物理，化学，生物学，工程和医学中的多尺度模型提供强大的工具。 结果可能会影响对关键复杂的多阶层和多物理问题的制定，分析和开发，这些问题对美国经济产生了根本的影响。 由RTG赞助的学生和博士后将参与数学科学的应用，涉及一系列涉及诸如海底油探索，最佳功率调度，药物设计和器官建模等不同领域的研究项目。我们向本地地区高中的推广计划将鼓励代表性不足的群体中的学生选择应用数学和计算科学领域的职业。 在国家一级，该项目将为实现RTG计划的远距离目标做出积极贡献，该计划扩大了数学科学中充分准备的美国公民，国民和永久居民的劳动力。此外，该项目将在NSF范围内的方向上做出重要的贡献，更普遍地是培养基本数学科学在跨学科研究中的关键作用的国家优先事项。