EMSW21-RTG: Applied Mathematics Training Program for Interdisciplinary Research in Science and Engineering

EMSW21-RTG：科学与工程跨学科研究应用数学培训项目

• 批准号: 0636574
• 负责人: Alvin Bayliss
• 金额: $ 210.13万
• 依托单位: Northwestern University
• 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: 2007-09-01 至 2014-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0636574&HistoricalAwards=false
• 关键词: EMSW21; RTG; Applied; Mathematics; Training

This project establishes a flexible, modern training program in applied mathematics within the Research Training Group program. Mathematics is a central component in physical sciences, biological sciences, and engineering, and many diverse disciplines exhibit common mathematical structures. Work in these fields profits from the involvement of applied mathematicians with broad backgrounds. This program will train such young applied mathematicians at all levels, from undergraduates through postdoctoral researchers. A significant feature of the program is its interdisciplinary nature -- the group's activities involve not just mathematicians, but engineers and scientists as well. Thus, group members, while trained as applied mathematicians, will be comfortable interacting with non-mathematicians in research teams. The research activities will emphasize breadth and flexibility; trainees will be able to tackle problems involving a wide variety of mathematical techniques, ranging from analytical and computational methods to the development of suitable models of physical processes, and they will be able to adapt their research to diverse areas as opportunities arise. The group's activities will involve mathematical research ranging from analytical to computational, in application areas including life sciences (particularly microbiology and biological fluids), fluid mechanics, materials science, and combustion. A special focus is on interfacial phenomena and phenomena involving multiple scales.The project will produce a group of young applied mathematicians who are multifaceted in their scientific knowledge, able to grasp common mathematical features in problems from a diverse range of application areas, comfortable working and interacting with scientists and engineers in an interdisciplinary environment, and sufficiently flexible to pursue productive research in other areas as national priorities evolve.

该项目在研究培训小组计划中建立了一个灵活的现代培训计划。 数学是物理科学，生物科学和工程学的核心组成部分，许多多样化的学科表现出共同的数学结构。 在这些领域的工作中，从具有广泛背景的应用数学家的参与中获利。 该计划将在各个层面上培训这些年轻的应用数学家，从本科生到博士后研究人员。 该计划的一个重要特征是其跨学科性质 - 该小组的活动不仅涉及数学家，还涉及工程师和科学家。 因此，小组成员虽然受过应用数学家的培训，但可以与研究团队中的非数学家进行互动。 研究活动将强调广度和灵活性；学员将能够解决涉及各种数学技术的问题，从分析和计算方法到开发合适的物理过程模型，并且随着机会的出现，他们将能够将其研究适应到不同领域。该小组的活动将涉及从分析到计算的数学研究，包括生命科学（特别是微生物学和生物流体），流体力学，材料科学和燃烧。 一个特别的重点是涉及多个量表的界面现象和现象。该项目将产生一组年轻的应用数学家，这些数学家在其科学知识中具有多方面，能够在各种应用领域的问题中掌握共同的数学特征，从各种应用领域，舒适地与科学家和工程师进行互动的互动环境中的互动，以适当地提高了富有生产力，并在互动的领域中互动。