SCREMS: Computing Equipment for Mathematical Science at UMass Amherst

这笔赠款将使马萨诸塞大学阿默斯特分校数学系能够购买一台Beowulf计算机集群，以支持数学科学中的计算密集型研究。这项研究将集中在以下几个方面：(1)Coxeter群中算术群和Kazhdan-Lusztig胞的上同调的计算研究；(2)粘性不可压缩流体中的换热和湍流剪切流动的研究；(3)发展氢化物确定性/随机系统的多尺度计算方法；(4)光学和凝聚态物理中的非线性多维现象的模拟；(5)利用平衡和非平衡统计力学开发和测试新的闭合策略。这些项目中的每一个都需要该部目前没有的计算资源。这些项目还将对马萨诸塞大学阿默斯特分校数学科学专业的学生和年轻研究人员的教育和培训产生重大影响。因此，这笔拨款中的设备是该部门持续努力的一部分，目的是建立其计算程序，并将数学研究的前沿带入大学各级教育。

This grant will enable the Department of Mathematics at the University of Massachusetts-Amherst to purchase a Beowulf computer cluster to support computationally intensive research in the mathematical sciences. This research will be concentrated in the following areas: (1) computational investigation of cohomology of arithmetic groups and Kazhdan-Lusztig cells in Coxeter groups, (2) investigation of heat transfer and turbulent shear flows in viscous incompressible fluids, (3) development of multiscale computational methods for hydrid deterministic/stochastic systems, (4) simulation of nonlinear multi-dimensional phenomena in optics and condensed matter physics, and (5) development and testing of novel closure strategies using equilibrium and nonequlibrium statistical mechanics. Each of these projects require computational resources that the department does not have currently. These projects will also have a significant impact on the education and training of both students and young researchers in the mathematical sciences at the University of Massachusett-Amherst. As such, the equipment in this grant is part of a continuing effort of the department to build its computational program and to bring the frontier of research in mathematics to all levels of university education.