RTG: Numerical Mathematics and Scientific Computing

莱斯大学的数值数学和科学计算(NASC)研究培训小组(RTG)将通过培训下一代科学家来促进NASC及其应用，从而服务于国家利益。NASC是不断发展的领域，在广泛的工程和科学应用以及更广泛的领域中，这些领域对发现和决策越来越重要。这个RTG将培训下一代科学家参与并推动这些领域及其应用的进步，它将增加对数学科学的参与，特别是妇女和代表性不足的少数群体的参与，并将加强计算和应用数学研究人员为工业和学术事业做准备。RTG活动将促进和加强莱斯大学RTG实习生和教职员工与邻近的MD Anderson癌症中心和贝勒医学院之间的互动。RTG参与者将接受数学建模、数值方法的设计和分析以及科学软件工程的最佳实践方面的培训。该培训将在所有应用程序中建立数学和科学计算基础，并将学员带入基于物理的模拟的下一代高阶数值方法、结构保持和数据驱动的降阶建模以及微分方程式问题的大规模优化方法等领域的研究前沿。RTG学员还将与来自生物学、计算神经科学和地球科学的领域专家一起加入团队，以了解每个应用程序产生的特定数学和计算挑战，并最终提供针对特定应用程序挑战的数学和计算工具。以单一应用领域为中心的垂直整合研究舱将为博士后和学生提供研究和指导体验。通过提供社区建设和专业发展活动，RTG将扩大和多样化将在NASC攻读研究生课程的博士后学者、研究生和本科生。计划开展的活动将增加计算数学和应用数学专业的本科生数量，并加强他们在工业和学术职业方面的背景。RTG还将推出一个桥梁计划，以促进即将到来的研究生的社会和学术融合。专业发展活动、教学机会和综合研究经验将增加研究生和博士后助理的职业准备。RTG计划还将通过参加研讨会、专题课程和研究生研讨会来加强对非RTG学生的培训。最后，外展活动将使高中生接触到NASC的本科生学习以及数学科学方面的职业机会。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This Research Training Group (RTG) in Numerical Mathematics and Scientific Computing (NASC) at Rice University will serve national interests by training the next generation of scientists to advance NASC and its applications. NASC are continuously evolving areas which are increasingly important for discovery and decision making in a wide variety of engineering and science applications and beyond. This RTG will train the next generation of scientists to participate and push the advancement of these areas and their applications, it will increase participation, especially of women and underrepresented minorities, in mathematical sciences, and it will strengthen the preparation of researchers in computational and applied mathematics for industry and academic careers. RTG activities will facilitate and increase interactions between RTG trainees and faculty at Rice University and the neighboring MD Anderson Cancer Center and Baylor College of Medicine.RTG participants will be trained in mathematical modeling, the design and analysis of numerical methods, and best practices in scientific software engineering. This training will build mathematical and scientific computing foundations across all applications, but also bring trainees to frontiers of research in areas such as next-generation high-order numerical methods for physics-based simulations, structure-preserving and data-driven reduced order modeling, and large-scale optimization methods for problems governed by differential equations. RTG trainees will also join teams with domain experts from biology, computational neuroscience, and the geosciences in order to understand the specific mathematical and computational challenges arising from each application, and to ultimately provide mathematical and computational tools tailored towards application-specific challenges. Vertically integrated research pods centered around a single application area will provide research and mentoring experiences to postdocs and students. The RTG will broaden and diversify the pool of postdoctoral scholars, graduate students, and undergraduates who will pursue graduate studies in NASC by providing community-building and professional development activities. Activities are planned to increase the number of undergraduate majors in computational and applied mathematics as well as strengthen their backgrounds for industry and academic careers. The RTG will also introduce a bridge program to facilitate social and academic integration for incoming graduate students. Professional development activities, teaching opportunities, and the integrated research experience will increase the career preparation of graduate students and postdoctoral associates. The RTG program will also enhance the training of non-RTG students via participation in workshops, topics courses, and graduate student seminars. Finally, outreach activities will expose high school students to undergraduate studies in NASC, as well as career opportunities in the mathematical sciences.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.