Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)

特拉华大学数学科学系将购买一台分布式存储并行计算机，专门用于支持数学科学的研究。它将用于几个研究项目，包括：面心立方二元合金的有序化和粗化动力学(BRAUN)；用于模式计算的区域分解(Driscoll)；电磁散射(MONK)；涡旋偶极演化的涡旋计算、偶极对碰撞和合成喷流模拟(ROSSI)。这些项目都涉及应用数学中复杂偏微分方程组的数值解。现实的解决方案使用具有大内存和时间要求的算法。拟议的由32个处理器组成的Beowulf集群与专用的Myrnet链接，将使我们能够使用并行算法高效地研究这些问题。我们提议的更广泛的影响是双重的。首先，我们将产生环境和材料科学家、流体动力学家、电气工程师和国防工业感兴趣的新成果。第二，通过让研究生和本科生参与建议的项目，我们将培养掌握并行计算技能的新一代应用数学家。

The Department of Mathematical Sciences at the University of Delaware will purchase a distributed memory parallel computer which will be dedicated to the support of research in the mathematical sciences. It will be used for several research projects, including: Ordering and coarsening dynamics for an fcc binary alloy (Braun); Domain decomposition for modal computations (Driscoll); Electromagnetic scattering (Monk); Vortex computations of vortex dipole evolution, dipole pair collisions and simulations of synthetic jets (Rossi). These projects all involve the numerical solution of complex partial differential equations in applied mathematics. Realistic solutions use algorithms which have large memory and time requirements. The proposed Beowulf cluster of 32 processors linked with a dedicated Myrinet will allow us to investigate these problems efficiently using parallel algorithms. The broader impacts of our proposal are twofold. First, we willgenerate new results of interest to environmental and materials scientists, fluid dynamicists, electrical engineers and the defense industry. Second, through involvement of graduate and undergraduate students in the proposed projects, we will prepare a new generation of applied mathematicians skilled in parallel computation.