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

这项资助为八名本科生提供为期八周的暑期研究体验。在此期间，学生们将参加由该领域不同专家举办的研讨会。他们还将参加一个计算机实验室。在计划接近尾声时，他们将被要求就他们所做的工作做报告。该项目的目标之一是让每个学生写一份适合出版的简短手稿。他们将可以使用科罗拉多大学可观的计算能力来实施他们的项目。这笔拨款的重点是开发解决非线性动力学问题的并行算法。这是两个快速发展、令人兴奋的应用数学领域，对本科生来说是相当容易理解的。其中一个研究领域将是多项式求根。另一个领域来自常微分方程理论，它展示了奇怪的吸引子和混沌动力学。对于这两个领域，并行处理都有很好的潜力来提高算法的效率，而且还有很多有待探索的地方。这个项目将把学生带入一个有趣的数学和计算领域。随着各教职员工的密切联系，这一经历对学生来说应该是非常宝贵的。这项提议是通过本科生研究经验计划(REU)资助的，代表了该计划目标的一个很好的例子。

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.