NSF/CBNS Regional Conference in the Mathematical Sciences - Approximation Dynamics with Application to Numerical Analysis - June 12-16, 1995

会议的目的是为一系列重要的讲座提供一个论坛，这些讲座将由明尼苏达大学的George Sell教授主持。他是动力系统理论和应用方面的权威专家，特别是与自然现象的动态过程有关的部分理论。这些过程的数学建模、分析和应用的进步是我们理解诸如天气、地下水和河流污染、飞机飞行或血液在人类心脏中的运动等各种物理现象的基础。会议的主题是动力系统及其实际应用领域当前研究的核心。塞尔教授的讲座将涵盖理解动力系统长时间行为的具体方法的基础（该方法是由可分析的邻近系统进行近似）。他还将讨论使用这种方法来设计和实现计算机软件，以解决一些重要的物理问题。根据NSF/CBMS区域会议的程序描述，组织者将主要邀请来自中西部的与会者。受资助的参与者将从专业数学家和研究生中选出。专业参与者的研究项目将在几个方面从会议中受益。他们将能够学习一种重要的新方法来解决他们可能已经在学习的问题。此外，他们将通过将会议的主题纳入其研究生课程来加强其本国机构的教学使命。研究生将会接触到最前沿的工具，这将是他们研究生教育中非常有用的组成部分。此外，他们中的一些人很可能会受到影响，进入一个重要的研究领域，在这个领域，许多非常重要的问题仍未得到解决。

9414241 Chicone The purpose of the conference is to provide a forum for an important series of lectures to be presented by Professor George Sell, University of Minnesota. He is a leading expert in the theory and application of dynamical systems, especially that part of the theory related to the dynamic processes of natural phenomena. Advances in the mathematical modeling, analysis and application of these processes are fundamental to our understanding of such diverse physical phenomena as weather, pollution of groundwater and rivers, aircraft flight, or the motion of blood through the human heart. The topic of the conference is central to current research in the area of dynamical systems and its practical applications. Professor Sell's lectures will range over the basis for a specific approach to understanding the long time behavior of dynamical systems (the approach being approximation by nearby systems that are amenable to analysis). He will also discuss the use of this approach for the design and implementation of computer software to solve some important physical problems. In accordance with the program description for the regional NSF/CBMS conferences, the organizers will invite participants primarily from the Mid-West. The funded participants will be chosen from the ranks of professional mathematicians and graduate students. The research programs of the professional participants should benefit in several ways from the conference. They will be able to learn an important new approach to solving problems that they may already be studying. Also, they will enhance the teaching mission of their home institutions by incorporating the subject matter of the conference into their graduate courses. Graduate students will be presented with cutting edge tool that will be a very useful component of their graduate education. In addition, some of them may well be influenced to enter an important area of research where many problems of enormous import remain unsolved.