SCREMS: Computing Equipment for Mathematical Science at UMass Amherst

这笔拨款将使马萨诸塞大学阿默斯特分校数学系能够购买一个贝奥武夫计算机集群，以支持数学科学的计算密集型研究。本研究将集中在以下几个方面：(1) Coxeter群中算法群与kazhdanlusztig元上同调的计算研究；(2)粘性不可压缩流体中传热与湍流剪切流动的研究；(3)流体确定性/随机系统多尺度计算方法的发展；(4)光学和凝聚态物理中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计算资源，而该部门目前没有这些资源。这些项目还将对马萨诸塞大学阿姆赫斯特分校数学科学领域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系继续努力的一部分，以建立其计算程序，并将数学研究的前沿带到大学教育的各个层面。

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.