Cluster Expansion for Applied and Computational Mathematics

这项工作将获得和安装计算集群组件，以支持加州理工学院应用和计算数学（ACM）部门的几项研究活动。这些组件将用于扩展加州理工学院高级计算研究中心（CACR）的共享异构集群（SHC）。SHC是一个teraflops级的机器，针对高精度并行代码进行了优化。额外的组件将使其峰值容量增加约400 gigaflops和160 gigabytes。 SHC的扩展将为ACM的三位教职员工的研究提供计算支持：Oscar Bruno，Emmanuel Candes和Tom Hou博士。这些教师和他们的ACM同事致力于数学算法中一些最具智力挑战性的问题。这些问题的特点是多尺度，不均匀性，非常复杂的空间采样。应用范围很广，包括电磁建模，MRI生物成像的最佳采样，以及计算地下物质流的地球物理问题。在每一种情况下，算法开发的进展都取决于对大规模计算机资源的访问。这项工作将扩展现有的共享计算集群（命名为SHC），以支持加州理工学院应用与计算数学（ACM）系的几项研究和教育活动。SHC的扩展将为三名教师提供计算支持，他们正在研究数学算法中一些最具智力挑战性的问题。应用范围很广，包括电磁建模，MRI生物成像的最佳采样，以及计算地下物质流的地球物理问题。这一扩展将对教育产生更广泛的影响，并可能对公共宣传产生影响。ACM在加州理工学院的研究生和本科生阶段都发挥着至关重要的教育作用。随着计算科学成为科学发现的第三大支柱，这一作用将会增加。SHC还将用于生成令人信服的数值计算图像，以帮助更好地解释科学。SHC扩展利用了大量现有资源，将支持几个有前途的研究领域，为学生提供先进的计算能力，并帮助向公众展示计算数学的价值。

This effort will acquire and install compute cluster components to support several research activities at Caltech's Applied and Computational Mathematics (ACM) department. The components will be used to expand the Shared Heterogeneous Cluster (SHC) at Caltech's Center for Advanced Computing Research (CACR). SHC is a teraflops class machine that is optimized for high precision parallel codes. The additional components will increase its peak capacity by about 400 gigaflops and 160 gigabytes. The expansion of SHC will provide computational support to the research of three faculty members in ACM: Drs. Oscar Bruno, Emmanuel Candes, and Tom Hou. These faculty members and their ACM colleagues work on some of the most intellectually challenging problems in mathematical algorithms. These problems are characterized by multiple scales, inhomogeneity, and the sampling of very complex spaces. The applications are wide ranging, including electromagnetic modeling, optimal sampling for MRI biological imagery, and computing underground material flows for geophysics problems. In each case, progress in algorithmic development depends on access to large-scale computer resources.This effort will expand an existing shared compute cluster (named SHC) to support several research and education activities at Caltech's Applied and Computational Mathematics (ACM) department. The expansion of SHC will provide computational support to three faculty members working on some of the most intellectually challenging problems in mathematical algorithms. The applications are wide ranging, including electromagnetic modeling, optimal sampling for MRI biological imagery, and computing underground material flows for geophysics problems. The expansion will have broader impacts in education and, potentially, public outreach. ACM has a vital educational role at both the graduate and undergraduate level at Caltech. As computational science emerges as the third pillar of scientific discovery, this role will increase. SHC will also be used to produce compelling images of numerical calculations to help better explain the science. The SHC expansion leverages significant existing resources and will support several promising research areas, provide students with advanced computational capabilities, and help show the public the value of computational mathematics.