Summer School on Parallel Numerical Methods for Partial Differential Equations

偏微分方程并行数值方法暑期学校

• 批准号: 0810890
• 负责人: Dan Stanescu
• 金额: $ 2万
• 依托单位: University of Wyoming
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-07-15 至 2009-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0810890&HistoricalAwards=false
• 关键词: Summer; Parallel; Numerical; Methods; Partial

StanescuDMS-0810890 This project helps support U.S. participants in the 2008Rocky Mountain Mathematics Consortium Summer School. The schooleducates graduate students and junior faculty on the recentdevelopments in computational methods for partial differentialequations. This topic is of major importance in appliedmathematics and is key in developing a better understanding of,and prediction capability for, complex physical systems. Topicsto be covered at the intensive two-week summer school include:numerical methods for time-dependent problems, nodalDiscontinuous Galerkin Methods (theory and implementation),high-accuracy and spectral element methods on structured andunstructured meshes, introduction to parallel computing andhigh-performance computing on present-day architectures, andvarious applications such as fluid flow and weather prediction. The lecturers include Jan Hesthaven (Division of AppliedMathematics at Brown University, and Director of the Center forComputation and Visualization), Amik St-Cyr (National Center forAtmospheric Research), Henry Tufo (Colorado University-Boulderand National Center for Atmospheric Research), and Tim Warburton(Rice University). The school has an impact on the U.S. maintaining itsleadership role in computational science, by equipping U.S.graduate students with an understanding of the latestcomputational methods, preparing students to be able to performparallel computations on developing architectures, and enhancingtheir understanding of the important role that mathematicalmodeling and simulations plays in science. The summer school isheld just prior to the thematic year-long program onComputational Geosciences at NCAR, and thus prepares graduatestudents and junior faculty to participate more beneficially inthis program. This project also has a large impact on math andscience education in Wyoming, as some of the speakers andparticipants are guest lecturers at the local workshop "Thinkingand Doing Math and Science with Engineering," a program thatpresents Wyoming K-12 math and science teachers with feasibleways to make mathematics and science more pertinent and excitingto their students.

StanescuDMS-0810890该项目帮助支持参加2008落基山数学联盟暑期学校的美国学生。学校教育研究生和初级教师偏微分方程计算方法的最新发展。这一主题在应用数学中具有重要意义，是更好地理解和预测复杂物理系统的关键。为期两周的暑期强化课程将涵盖的主题包括：时间相关问题的数值方法，节点不连续Galerkin方法(理论和实现)，结构化和非结构化网格的高精度和谱元素方法，并行计算和现代体系结构上的高性能计算简介，以及各种应用，如流体流动和天气预报。讲师包括Jan Hesthaven(布朗大学应用数学部，计算和可视化中心主任)，Amik St-Cyr(国家大气研究中心)，Henry Tufo(科罗拉多大学博尔德和国家大气研究中心)，Tim Warburton(莱斯大学)。该学院通过让美国研究生了解最新的计算方法，使学生能够在开发体系结构上执行并行计算，并增强他们对数学建模和模拟在科学中所起的重要作用的理解，对美国保持其在计算科学中的领导地位产生了影响。暑期班是在NCAR为期一年的计算地球科学专题课程之前举办的，因此为毕业生和初级教员做好了准备，使他们能够更有益地参与这个项目。该项目也对怀俄明州的数学和科学教育产生了很大的影响，因为一些演讲者和参与者是当地研讨会“用工程思考和做数学与科学”的客座讲师，该项目为怀俄明州的K-12数学和科学教师提供了可行的方法，让他们的学生对数学和科学更有针对性和更感兴趣。