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

2002年8月5-14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。加深对快速计算和计算机模拟背后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、计算机科学和纯数学的交叉研究领域，但重点是计算。该计划包括18个为期3天的研讨会和18个全体会议发言人。全体会议和研讨会涵盖了国家基础设施、经济和国防至关重要的主题。该项目支持博士后、研究生、青年参与者、妇女和少数民族以及全体会议和半全体会议发言人和研讨会组织者的参与。复杂的物理现象和社会现象的大规模计算和数学模型的实现对国家经济具有根本的重要性。计算也是支撑国防的科学支柱。大规模计算是多尺度发生的复杂物理现象的数值模型的引擎。快速计算和处理从各种传感器获得的不断增加的数据集对新型军事至关重要。这个每三年才举行一次的重要会议的目的是进一步理解数学理论之间的深层关系：分析、拓扑、几何和代数，以及与现代计算机同步发展的计算过程。研究课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依赖于对计算科学基础的理解。在为期10天的会议中，有350-500名研究人员参加了18个研讨会，并举行了全体会议。大批研究生和其他年轻科学家参与其中，该项目旨在促进参与者之间的密切互动。几个小组致力于确定未来研究最有希望的方向。出版的论文集、基于网络的材料和会议本身都是重点和特殊兴趣小组的启动平台，以便在数学和计算界面的一系列学科中进行未来的互动。

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.