Foundations of Computational Mathematics Conference, August 5 - 14, 2002

这位研究人员和他的同事于2002年8月5日至14日在明尼苏达大学数学及其应用研究所(IMA)组织了第三届计算数学基础会议。加深对作为快速计算和计算机模拟基础的数学过程的理解是这次会议的主要目标。数学内容涵盖了工程学、计算机科学和纯数学之间的研究领域，但侧重于计算。该计划包括18个为期3天的工作坊和18个全体演讲者。全体会谈和研讨会涵盖了与国家基础设施、经济和国防密切相关的主题。该项目支持博士后、研究生、初级参与者、妇女和少数群体以及全体和半全体发言者和讲习班组织者参加。对复杂的物理和社会现象进行大规模计算和建立数学模型，对国家经济具有重要意义。计算也是国防科学的支柱。大规模计算是建立多尺度复杂物理现象数值模型的引擎。快速计算和处理从各种传感器获得的日益增长的数据集，对于新军事来说是至关重要的。这一重要会议每三年举行一次，目的是加深对数学理论之间的关系的理解：分析、拓扑、几何和代数，以及随着现代计算机的发展而发展的计算过程。将讨论的主题包括大气和地下水建模中的大规模计算和高性能计算、计算机辅助设计和动画、数据、图像和信号处理、网络流量建模、量子计算、学习理论、优化和控制。维持国家在这些重要领域的优势有赖于对计算科学基础的理解。这次会议有350-500名研究人员参加，在为期10天的18个研讨会上，每个人都参加了特别的全体会议。一大批研究生和其他年轻科学家参加了该项目，该项目旨在促进参与者之间的密集互动。有几个小组致力于确定未来最有希望的研究方向。出版的会议记录、基于网络的材料和会议本身充当了关注的发射台，并为未来在数学和计算界面上的一系列主题的互动提供了特殊兴趣小组。

The investigator and his colleagues organize the thirdConference on Foundations of Computational Mathematics at theInstitute for Mathematics and its Applications (IMA), Universityof Minnesota on 5-14 August 2002. Deepening the understanding ofthe mathematical processes that underlie fast computation andcomputer simulation is the principal goal of the meeting. Themathematical content covers fields of research at the interfaceof engineering, computer science, and pure mathematics, butfocused on computation. The program includes 18 3-day workshopsand 18 plenary speakers. The plenary talks and workshops spansubjects of vital interest to the nation's infrastructure,economy, and defense. The project supports participation bypostdocs, graduate students, junior participants, women andminorities as well as plenary and semi-plenary speakers andworkshop organizers. Large-scale computation and the implementation ofmathematical models for complex physical and societal phenomenaare of fundamental importance to the nation's economy.Computation is also the backbone of the sciences supporting thenation's defense. Large-scale computation is the engine ofnumerical models for complex physical phenomena occurring at manyscales. Fast computation and processing of the ever-increasingdata sets obtained from various sensors is critical to the newmilitary. The purpose of this major meeting, held only everythree years, is to further the understanding of the deeprelationships between mathematical theory: analysis, topology,geometry and algebra, and computational processes as they areevolving in tandem with the modern computer. The topics to beaddressed include large scale computation and high performancecomputing as occurs in atmospheric and groundwater modeling,computer aided design and animation, data, image and signalprocessing, modeling network traffic, quantum computing, learningtheory, optimization and control. Sustaining the nation'sadvantage in these vital areas relies on understanding thefoundations of computational science. The meeting involves350-500 researchers in 18 workshops over a 10-day period, withspecial plenary sessions attended by everyone. A large contingentof graduate students and other young scientists areparticipating, and the program is designed to promote intensiveinteraction among the participants. Several panels are devoted toidentifying the most promising directions for future research.Published proceedings, web-based materials, and the conferencesessions themselves serve as launching pads for focus and specialinterest groups for future interactions in a range of subjects atthe interface of mathematics and computation.