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

这一奖项将为一月份在亚利桑那大学举行的数学会议提供支持。这次会议的目的是将复杂分析领域的专家聚集在一起，介绍和讨论计算机如何影响这一领域的研究。这次会议的范围将是国际性的，既有理论家，也有计算专家。由于计算对研究人员的态度和他们解决长期存在的问题的方法产生了尖锐的影响，因此出现了对这种聚会的需求，就像在数学的许多其他领域一样。给出了复数分析中不能用手工分析的现象的例子。出现了新的见解、猜想，并最终产生了新的定理。此外，计算机产生了对新方法的需求，这些方法在前计算机时代是毫无用处的。在许多地点的激烈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，在该领域，改进的技术导致立即将网格近似应用于偏微分方程组的问题。至关重要的是，将这样的群体聚集在一起，比较他们的成就，并将计算作为一种宝贵的工具介绍给其他人，这可以为他们的基础研究做出重要贡献。

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.