Mathematical Sciences: Conference on Computational Aspects of Complex Analysis; San Diego, California, August 13-18, 1988

这笔奖金将用于资助将于1989年1月在亚利桑那大学举行的一次数学会议。这次会议的目的是将复杂分析领域的专家聚集在一起，介绍和讨论计算机影响该领域研究的方式。这次会议将是国际性的，将理论家和计算专家结合在一起。由于计算对研究人员的态度和解决长期存在的问题的方法产生了巨大的影响，就像在许多其他数学领域一样，需要召开这次会议。列举了复杂分析中不能用手分析的现象的例子。新的见解、猜想，最终产生了新的定理。此外，计算机创造了对新方法的需求，而这些新方法在前计算机时代是没有用的。许多地方的密集活动导致了旨在从不同计算角度解决类似问题的研究。这在保角映射领域尤其明显，改进的技术可以直接应用于偏微分方程问题的网格近似。像这样的团队聚集在一起比较他们的成就，并向其他人介绍计算作为一种有价值的工具，可以为他们的基础研究做出重要贡献，这是至关重要的。

This award will provide support for a mathematical conference to be held at the University of Arizona in January 1989. The purpose of this meeting is to bring together experts in the field of complex analysis to present and discuss ways in which computers are affecting research in this field. The conference will be international in scope combining both theoreticians and computational experts. The need for this gathering has arisen, as in many other areas of mathematics, because of the sharp impact computing has made on attitudes of researchers and their approaches to solving long-standing problems. Examples of phenomena in complex analysis which could not be analyzed by hand have been worked out. New insights, conjectures and, eventually, new theorems have resulted. In addition, computers have created a demand for new methods which would have been of no use in precomputer days. Intense activity in numerous locations has led to research aimed at solving similar problems from different computational points of view. This is particularly noticeable in the area of conformal mapping where improved techniques lead to immediate application in grid approximations to problems in partial differential equations. It is vital that groups such as these be brought together to compare their accomplishments and to introduce others to computation as a valuable tool which can make important contributions to their fundamental research.