University of Florida 2003/2004 Special Year in Mathematics

佛罗里达大学 2003/2004 数学特别年

• 批准号: 0324609
• 负责人: William Hager
• 金额: $ 3万
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-09-15 至 2004-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0324609&HistoricalAwards=false
• 关键词: University; Florida; 2003; 2004; Special

The 2003/2004 Florida Special Year Program in Mathematics, in applied mathematics, is in the area of multiscale analysis and applications. Four conferences will be held: 1. Conference on mathematical methods in imaging and vision. 2. Conference on multiscale optimization methods and applications. 3. Conference on computational methods in multiscale analysis and applications. 4. Student workshop.The three conferences are organized by the Mathematics Department in collaboration with Computer and Information Science and Engineering, Industrial Systems and Engineering, Mechanics and Aerospace Engineering, and industry. These conferences highlight recent mathematical innovations, including(a) variational, probabilistic, statistical, and geometric methods in image analysis and vision,(b) pattern recognition and statistical classification in image analysis,(c) multilevel and multiple scale methods in optimization,(d) multigrid and homogenization methods for partial differential equations.The conferences include both junior and senior researchers and student participants. The student workshop, organized by the UF SIAM Chapter, provides an opportunity for graduate students to play a principal role in organizing a conference and in presenting their ongoing thesis research to an audience composed of their peers.The conferences held during the 2003/2004 Mathematics Special Year Program:http://www.math.ufl.edu/special03/would have broad impact in the sciences, engineering, and industry. The conferences will broaden the educational experience and career options of the participating students, and will give graduate students a broader perspective of their research field. The mathematical technology presented at the imaging conference is important for medical diagnostics where high accuracy is needed for determining appropriate medications and dosages. The technology can also be applied in other domains like computational physics, computer and information science and engineering, and finance. The optimization conference showcases recent computational methodologies having applications to scheduling, optimal control of manufacturing processes, the design of faster and more reliable computer chips, parallel computing techniques for solving difficult scientific problems, and many other areas. The conference on multigrid and asymptotic analysis focuses on recent numerical methods that are used in many fields including oil exploration where acoustic signals are used to detect structure beneath the surface of the earth, nondestructive testing of materials, where external measurements of electric fields are used to detect imperfections beneath the surface of the material, and medical modeling used in the design and development of new diagnostic sensors.

2003/2004佛罗里达应用数学特别年计划是在多尺度分析和应用领域。将举行四次会议：1.成像和视觉数学方法会议。2.多尺度优化方法和应用会议。3.多尺度分析和应用中的计算方法会议。4.学生工作坊。三个研讨会由数学系与计算机及资讯科学与工程、工业系统与工程、机械与航空航天工程，以及工业界合办。这些会议突出了最近的数学创新，包括(A)图像分析和视觉中的变分、概率、统计和几何方法，(B)图像分析中的模式识别和统计分类，(C)优化中的多层次和多尺度方法，(D)偏微分方程组的多重网格和齐次化方法。学生工作坊由UF SIAM分会组织，为研究生提供了一个机会，让他们在组织会议和向同行组成的观众展示他们正在进行的论文研究方面发挥主要作用。在2003年至2004年数学特别年Program:http://www.math.ufl.edu/special03/would期间举行的会议在科学、工程和工业领域产生了广泛的影响。这些会议将拓宽参会学生的教育经验和职业选择，并将为研究生提供更广阔的研究领域视角。在成像会议上展示的数学技术对于医学诊断非常重要，在医学诊断中，需要高精度来确定适当的药物和剂量。这项技术还可以应用于其他领域，如计算物理、计算机和信息科学与工程以及金融。优化会议展示了最新的计算方法，这些方法应用于调度、制造过程的优化控制、更快和更可靠的计算机芯片设计、用于解决困难科学问题的并行计算技术，以及许多其他领域。多重网格和渐近分析会议的重点是在许多领域使用的最新数值方法，包括石油勘探中使用的声波信号来检测地球表面下的结构，材料的无损检测，其中使用外部电场测量来检测材料表面下的缺陷，以及用于设计和开发新的诊断传感器的医学建模。