Mathematical Sciences: REU: Research Experiences for Undergraduates: Nonlinear Phenomena and Parallel Processing

数学科学：REU：本科生研究经验：非线性现象和并行处理

• 批准号: 8712283
• 负责人: James Curry
• 金额: $ 3.2万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-01 至 1988-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8712283&HistoricalAwards=false
• 关键词: Mathematical; Sciences; REU; Research; Experiences

This grant provides a research experienc for eight undergraduates for an eight week period during the summer. Throughout this period the students will attend a seminar given by various experts in the field. They will also participate in a computer laboratory. Toward the end of the program they will be required to give reports on the work that they have done. One of the goals of the program is to have each student write a short manuscript suitable for publication. They will have access to the considerable computing power at the University of Colorado to carry out their projects. The focus of this grant is on developing parallel algorithms for problems in nonlinear dynamics. These are two rapidly growing, highly exciting fields of applied mathematics which are quite accessible to undergraduates. One of the areas of research will be in polynomial root finding. The other area comes from the theory of odinary differential equations which exhibit strange attractors and chaotic dynamics. These both are areas for which parallel processing has a nice potential to increase the efficiency of the algorithms and for which there is a great deal left to be explored. This program will bring the students into an interesting area of mathematics and computation. With the close association of the various faculty members the experience should be a very valuable one for the students. This proposal is being funded through the Research Experiences for Undergraduate program (REU) and represents a good example of the goals of the program.

这项资助为八名研究人员提供了研究经验。 在暑假期间为本科生提供为期八周的课程。 在此期间，学生将参加一个研讨会， 由这一领域的多位专家共同完成。 他们还将参加一个 计算机实验室 在节目的最后， 他们必须报告他们所做的工作。 之一 该计划的目标是让每个学生写一个简短的 适合出版的手稿。 他们将有机会获得 科罗拉多大学的强大计算能力 执行他们的项目。 这项资助的重点是开发并行算法 解决非线性动力学的问题。 这是两个快速 不断发展的，令人兴奋的应用数学领域， 大学生很容易接触到 研究领域之一 将是多项式求根。 另一个领域来自 常微分方程的理论， 奇怪的吸引子和混沌动力学 这两个领域 并行处理有很好的潜力， 算法的效率，并为此有一个伟大的 交易有待探索。 这个节目将把学生带入一个有趣的 数学和计算领域。 随着密切的协会 各种教员的经验应该是一个非常 对学生来说很有价值。 这项提议正在得到资助， 本科生项目研究经验（REU） 这是该计划目标的一个很好的例子。