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

该项目是现代应用数学研究三大基石——理论、计算、应用并重的博士后、研究生和本科生协同培养计划。该项目的基本目标是为学生和博士后研究人员提供在大学或行业环境中从事尖端研究所需的知识和软件工具。该项目为期 5 年，旨在在学年和暑期期间资助最多 6 名博士后研究人员、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，每个团队由两名或更多研究人员进行协调和指导。每个组合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等研究人员重点领域的不同领域。 加州大学圣地亚哥分校新开发的跨学科计算科学、数学和工程 (CSME) 博士项目将大大增强培训项目的跨学科方面。 RTG 外展计划包括专门对当地高中教师进行培训，让他们了解计算和应用数学在我们社会中的重要作用。工作重点将集中在为低收入学生提供强化大学预科教育的当地高中。 该奖项产生的技术将包括数学算法、分析和数值软件，将为探索物理、化学、生物学、工程和医学领域的多尺度模型提供强大的工具。 研究结果可能会影响对美国经济产生根本影响的关键复杂多尺度和多物理问题的方法的制定、分析和开发。 RTG 资助的学生和博士后将参与数学科学在一系列研究项目中的应用，涉及海底石油勘探、最优功率调度、药物设计和器官建模等不同领域。我们对当地高中的推广计划将鼓励代表性不足群体的学生选择应用数学和计算科学领域的职业。 在国家层面，该项目将为实现 RTG 计划的长期目标做出积极贡献，即扩大准备充分的美国公民、国民和永久居民在数学科学领域的劳动力。此外，该项目将为整个国家科学基金会乃至国家优先事项的方向做出重要贡献，即培养基础数学科学在跨学科研究中的关键作用。

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.