Third International Conference on Numerical Solution of Volterra and Delay Equations; Tempe, Arizona, 2003

DMS奖摘要奖#：0224848PI：Jackiewicz，Zdzislaw机构：亚利桑那州立大学项目：应用数学项目经理：Catherine Mavriplis标题：Volterra和延迟方程的数值解本项目的目的是组织第三届关于Volterra和延迟方程的数值解的国际会议。它将汇聚在延迟方程最新数值方法、高性能超级计算机的最新方面以及导致Volterra问题的最重要应用(特别是生物学)方面的世界一流专家。它将第一次强调在新发展的广大领域的延迟和Volterra偏微积分方程组的研究和应用。Volterra方程的主题包括泛函微分方程(延迟、高级和中立型)以及延迟和Volterra偏微分方程。Volterra方程在生物数学和医学、种群动力学、控制理论、电动力学、中子输运理论、振荡理论和粘弹性等科学和工程领域有着重要而关键的应用。这些应用出现在各种关键领域，如对传染病和炭疽病和天花等生物制剂的传播进行建模，核反应堆和武器的设计，航空航天技术，无人机武器和情报车辆的制导，甚至超级计算机本身的设计。由于Volterra方程和时滞方程的解几乎永远不能以封闭形式获得，因此必须使用计算技术。从本质上讲，Volterra问题对计算资源(包括计算机速度和内存)产生了巨大的需求，因此需要使用极高性能的超级计算机。这次会议将使这些领域的专家汇聚一堂，并将有助于推动各种研究工作。日期：2002年6月25日

DMS Award AbstractAward #: 0224848PI: Jackiewicz, ZdzislawInstitution: Arizona State University Program: Applied MathematicsProgram Manager: Catherine MavriplisTitle: The Numerical Solution of Volterra and Delay EquationsThe purpose of this project is to organize the Third International Conference on the Numerical Solution of Volterra and Delay Equations. It will bring together leading world class experts in the newest numerical methods for delay equations, in the most recent aspects of high performance supercomputers, and in the most important applications (especially biological) that lead to Volterra problems. It will, for the first time, emphasize research and applications in the newly developing vast area of delay and Volterra partial differential and integral equations. The subject of Volterra equations includes functional differential equations (delay, advanced, and neutral) as well as delay and Volterra partial differential equations. Volterra equations have have important and crucial applications as models in diverse areas of science and engineering; e.g. biomathematics and medical science, population dynamics, control theory, electrodynamics, neutron transport theory, oscillation theory, and viscoelasticity. These applications arise in a variety of critical areas such as modeling of the spread of infectious diseases and biological agents like anthrax and smallpox, the design of nuclear reactors and weapons, aerospace technology, the guidance of drone weapons and intelligence vehicles, and even the design of super computers themselves. Since the solution of Volterra and delay equations can almost never be obtained in closed form, computational techniques must be used. By their nature, Volterra problems create enormous demands on computing resources (both on computer speed and memory) and therefore require the use of extremely high performance super computers. This conference will bring together the experts in these areas and will help to stimulate various research efforts.Date: June 25, 2002