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

该项目涉及博士后、研究生和本科生的协调培训计划，同等重视理论、计算和应用——现代应用数学研究的三大基石。该项目的一个基本目标是为学生和博士后研究人员提供他们在大学或工业环境中从事尖端研究所需的智力和软件工具。该项目为期5年，计划在学年和暑期期间资助最多6名博士后、10名研究生和3名本科生。这些博士后和学生将被组织成以团队为基础的研究小组，每个小组由两名或两名以上的研究者协调和指导。每个小组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领域的不同领域，这些领域是研究人员关注的领域。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）博士课程将大大加强培训计划的跨学科方面。RTG外展计划包括专门培训当地高中教师的内容，使他们了解计算数学和应用数学在我们社会中的重要作用。努力将集中在为低收入学生提供密集大学预科教育的地方高中。该奖项产生的技术将包括数学算法、分析和数值软件，这些将为探索物理、化学、生物、工程和医学中的多尺度模型提供强大的工具。研究结果将潜在地影响对美国经济产生根本性影响的关键复杂多尺度和多物理场问题的制定、分析和方法发展。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、最优电力调度、药物设计和器官建模等不同领域。我们在当地高中的推广计划将鼓励弱势群体的学生选择应用数学和计算科学方面的职业。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，该目标是扩大在数学科学方面有充分准备的美国公民，国民和永久居民的劳动力。此外，该项目将为美国国家科学基金会（nsf）乃至整个国家培养基础数学科学在跨学科研究中的关键作用的方向做出重要贡献。

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.