Summer School on Parallel Numerical Methods for Partial Differential Equations

本项目帮助支持2008年落基山数学联盟暑期学校的美国参与者。该院对研究生和初级教员讲授偏微分方程计算方法的最新发展。这个主题在应用数学中非常重要，是发展对复杂物理系统的更好理解和预测能力的关键。在为期两周的密集暑期学校中，将涵盖的主题包括：时间相关问题的数值方法，节点不连续伽辽金方法（理论和实现），结构化和非结构化网格的高精度和谱元方法，当今架构的并行计算和高性能计算介绍，以及流体流动和天气预报等各种应用。讲师包括Jan Hesthaven（布朗大学应用数学系，计算与可视化中心主任），Amik St-Cyr（国家大气研究中心），Henry Tufo（科罗拉多大学-博尔德兰国家大气研究中心）和Tim Warburton（莱斯大学）。通过使美国研究生了解最新的计算方法，准备学生能够在开发架构上执行并行计算，并增强他们对数学建模和模拟在科学中发挥的重要作用的理解，该学院对美国保持其在计算科学方面的领导地位产生了影响。夏季学校在NCAR为期一年的计算地球科学专题项目之前举行，因此为研究生和初级教师更有益地参与该项目做好准备。这个项目对怀俄明州的数学和科学教育也有很大的影响，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和科学”的客座讲师，这个项目向怀俄明州K-12数学和科学教师介绍了可行的方法，使数学和科学对他们的学生更有针对性和更令人兴奋。

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.