CSUMS: Development of an Ongoing Program of Undergraduate Computational Mathematics Research

SauerDMS-0639300 计算数学在现代科学的基础设施中起着至关重要的作用。 为了促进计算和数学科学技能的发展，在这个CSUMS项目中，研究者和他的同事在乔治梅森大学建立了一个持续的本科生研究计划。该计划涉及选定的有才华的本科生在几个重叠的研究机会，共享依赖于计算数学。 本科数学专业与既定的教授一起研究计算数学的及时问题，并立即应用于材料科学，天文学，空间天气，动力系统建模，生物物理学，神经科学，金融数学，统计学和流体动力学。 该项目的五名共同研究人员来自数学科学系和计算与数据科学系，另外还有20名教授，他们有指导高中和本科生的经验。 每个CSUMS队列一起工作在一个中央知识核心类，从一年到一年轮换，并在此后不久专门几个特定的研究项目之一的核心。 学生由终身教职/终身制教师监督，并在年底前制作一张海报和一篇描述他们研究的书面论文。 这个项目解决了启发和教育下一代计算科学家的重要需求。 由于当代科学对计算建模的严重依赖，计算数学专家将是美国科学进步的必要条件。该项目通过让今天的数学专业学生参与本科阶段的重大应用研究，帮助培养训练有素的计算数学家。 研究经验使他们更有可能在研究生阶段取得成功，完成计算领域的高级学位。 乔治梅森大学的CSUMS项目使学生接触到有趣的、计算上可访问的研究问题，这些问题涉及关键的竞争力领域，包括材料科学、计算流体动力学、金融数学以及生物和物理科学的其他几个领域。此外，该计划教育学生的价值计算技能，而他们仍然是制定自己的职业方向。 该项目得到了MPS数学科学部、MPS多学科活动办公室和EHR本科教育部的支持。

SauerDMS-0639300 Computational mathematics plays a critical role in theinfrastructure of modern science. To foster the development ofcomputational and mathematical science skills, in this CSUMSproject the investigator and his colleagues establish an ongoingprogram of undergraduate research at George Mason University. The program involves selected talented undergraduates in severaloverlapping research opportunities that share a reliance oncomputational mathematics. Undergraduate mathematics majors workwith established professors on timely problems of computationalmathematics with immediate applications in materials science,astronomy, space weather, dynamical systems modeling, biophysics,neuroscience, financial mathematics, statistics, and fluiddynamics. The five co-investigators on the project, from theDepartment of Mathematical Sciences and the Department ofComputational and Data Sciences, are joined by 20 otherprofessors with experience in mentoring high-school andundergraduate students. Each CSUMS cohort works together in acentral knowledge core class, to rotate from year to year, andshortly thereafter specializes to one of several particularresearch projects related to the core. Students are supervisedby tenured/tenure track faculty and produce a poster and awritten thesis describing their research by the end of the year. This project addresses the important need to inspire andeducate the next generation of computational scientists. Due tothe heavy reliance of contemporary science on computationalmodeling, experts in computational mathematics will be necessaryfor the advancement of science in the U.S. This project assistsin the creation of well-trained computational mathematicians byinvolving today's mathematics majors in significant appliedresearch at the undergraduate level. Research experiences makethem more likely to succeed at the graduate level, in thecompletion of advanced degrees in computational areas. The CSUMSprogram at George Mason University exposes the student tointeresting, computationally accessible research problems incritical competitiveness areas, including materials science,computational fluid dynamics, financial mathematics, and severalother areas in the biological and physical sciences. Additionally, the program educates students about the value ofcomputational skills while they are still formulating theircareer directions. The project is supported by the MPS Divisionof Mathematical Sciences, the MPS Office of MultidisciplinaryActivities, and the EHR Division of Undergraduate Education.