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

CSUMS：正在进行的本科计算数学研究项目的开发

• 批准号: 0639300
• 负责人: Daniel Anderson
• 金额: $ 105.73万
• 依托单位: George Mason University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-10-01 至 2013-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0639300&HistoricalAwards=false
• 关键词: CSUMS; Development; Ongoing; Program; Undergraduate

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.

SauerDMS-0639300 计算数学在现代科学基础设施中发挥着至关重要的作用。 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正在进行的本科生研究项目。该项目涉及精选的才华横溢的本科生，他们参与了几个重叠的研究机会，这些研究机会都依赖于计算数学。 数学专业的本科生与知名教授合作，研究计算数学的及时问题，并直接应用于材料科学、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 5 名联合研究员分别来自数学科学系和计算与数据科学系，另外还有 20 名具有指导高中生和本科生经验的教授。 每个 CSUMS 群体都在一个中心知识核心课程中一起工作，每年轮换，不久之后专门研究与核心相关的几个特定研究项目之一。 学生由终身教授/终身教职教师监督，并在年底前制作海报和书面论文来描述他们的研究。 该项目解决了激励和教育下一代计算科学家的重要需求。 由于当代科学严重依赖计算建模，计算数学专家对于美国科学的进步是必要的。该项目通过让当今的数学专业学生参与本科水平的重要应用研究，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 项目让学生接触关键竞争力领域有趣的、可计算的研究问题，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，该项目还教育学生在制定职业方向时了解计算技能的价值。 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。