The Barrett Lectures May, 2001 "New Directions and Developments in Computational Mathematics

这位研究人员和他的同事于2001年5月10日至12日在诺克斯维尔的田纳西大学组织了2001年约翰·H·巴雷特纪念讲座。巴雷特讲座自1972年以来每年举行一次。每年都会选择一个不同的主题，代表田纳西大学数学系的研究兴趣。自1993年以来，讲座由三位主要研究人员分别进行了三次为期一小时的调查讲座，分别代表了同一领域的不同主题/方向。2001年巴雷特讲座的主题是：“计算数学的新方向和发展”。讲座的重点是偏微分方程组的并行数值算法及其实现和应用。2001年巴雷特讲座的主要演讲者是宾夕法尼亚州立大学的徐金超，老道明大学和ICASE的大卫·凯斯，以及德克萨斯大学奥斯汀分校的玛丽·惠勒。他们每人将就并行数值算法的最新发展发表三场一小时的概括性讲座，重点有三个：理论(Xu)、计算机实现(Kyes)和应用(Wheeler)。除了主讲人外，六位演讲者还被邀请就其中一场主讲的主题进行一小时的演讲。巴雷特的讲座部分由田纳西科学联盟的拨款资助，并经常得到国家科学基金会的额外支持。它们吸引了广泛的兴趣，除了来自诺克斯维尔和橡树岭国家实验室的教职员工和学生外，还有来自全国各地的40至50名参与者。它们代表了美国东南部为数不多的历史悠久的数学系列讲座之一。2001年巴雷特讲座的主要目的是通过与上述三位该领域的主要研究人员的深入调查和非正式讨论，为与会者提供来自各种科学/工程/工业应用的偏微分方程组的并行数值算法的阐述。其他目标是促进跨学科合作，特别是与田纳西大学计算机系和工程学院的研究人员以及其他几个东南部机构的合作，并产生一套关于这一主题的书面调查，组委会将努力以书籍的形式出版。美国国家科学基金会申请的这笔资金将用于为没有研究补助金的应届毕业生和新近获得博士学位的S提供部分旅行和住宿支持。

The investigator and his colleagues organize the 2001 John H. Barrett Memorial Lectures in the University of Tennessee at Knoxville from May 10-12, 2001. The Barrett Lectures have been held annually since 1972. Each year a different topic is chosen, representing the research interests of the mathematics faculty of the University of Tennessee. Since 1993, the lectures have consisted of threeone-hour survey talks by each of three leading researchersrepresenting different themes/directions in a single field. The topic of the 2001 Barrett Lectures is: ``New Directions and Developments in Computational Mathematics". The focus of the lectures is parallel numerical algorithms for partial differential equations and their implementations and applications. The main speakers of the 2001 Barrett Lectures are Jinchao Xu of Penn State University, David Keyes of Old Dominion University and ICASE, and Mary Wheeler of University of Texas at Austin. Each of them will deliver three one-hour survey lectures on recent developments on parallel numerical algorithms with three different emphases: theory (Xu), computer implementation (Keyes), and application (Wheeler). In addition to the main speakers, sixspeakers are also invited to give one-hour talks on topics related to one of the main lectures.The Barrett Lectures are partly funded by a grant from Tennessee Science Alliance, and have often received additional support from the National Science Foundation. They attract wide interest, with an audience of between 40 and 50 participants from the whole country, in addition to faculty and students from Knoxville and the Oak Ridge National Laboratory. They represent one of the few long standing lecture series in mathematics in the southeastern United States. The main objective of the 2001 Barrett Lectures is to provide the participants with an exposition of parallel numerical algorithms for partial differential equations arising from various scientific/engineering/industrial applications, through in-depth surveylectures and informal discussions with the above three leading researchers in the field. Additional goals are to foster interdisciplinary collaboration, particularly with researchers in the Computer Science Department and in the College of Engineering at the University of Tennessee and several other southeastern institutions, and to generate a set of written surveys in the subject, which the organizing committee will endeavor to have published in book form. The fund being requested from the NSF will be spentproviding partial support towards travel and accommodation for $20$ graduatestudents and recent Ph.D.'s who do not have research grants.