Mathematical Sciences Computing Research Environments

佐治亚大学计算机系提议以其英特尔iPSC/2 D4超级立方体换取英特尔iPSC/860 Model 8超级计算机系统(见第五部分中的规范)。该设备将专门用于支持数学科学的研究。该设备将用于几个研究项目，特别包括：(I)T.Taha博士(计算机科学系)，用于开发反散射变换的并行算法，IST数值格式，用于求解一维和多维非线性偏微分方程组。这些方程出现在许多应用领域，包括非线性光学、信号传播、等离子体物理等。(Ii)S.Cater博士和R.Robinson博士(均来自计算机科学系)在Intel iPSC/860超级计算机上基于GNU C++编译器和库开发了一个原型计算环境。目标是为用户提供一个高效利用并行计算资源的系统。(Iii)D.Gordon博士(计算机科学系)开发了一种使用共轭梯度算法求解大型稀疏矩阵的并行算法。(Iv)A·格兰维尔博士(数学系)，为了更好地了解长度为z的不含素因数y的区间内的整数数目的分布函数，并行筛选不同的区间将大大加快计算速度。(V)J.W.Smith博士(计算机科学系)，为布尔(位)矩阵的约化开发了一种通用的并行方法。

The Department of Computer Science at the University of Georgia proposes to trade-in its intel iPSC/2 D4 hypercube for an intel iPSC/860 Model 8 supercomputer system (see specifications in part V). This equipment will be dedicated to the support of research in mathematical sciences. The equipment will be used for several research projects, including in particular: (i) Dr. T. Taha (Computer Science Department) for developing parallel algorithms for Inverse Scattering Transform IST numerical schemes for solving both one dimensional and multidimensional nonlinear partial differential equations. These equations arise in many areas of application including nonlinear optics, signal propagation, plasma physics, etc. (ii) Dr. S. Cater and Dr. R. Robinson (both from the Computer Science Department) for developing a prototype computing environment on an Intel iPSC/860 supercomputer based on the GNU C++ compiler and libraries. The objective is a system which is productive for the user and effective in the exploitation of parallel computing resources. (iii) Dr. D. Gordon (Computer Science Department) for developing a parallel algorithm for solving large sparse matrices using conjugate gradient algorithm. (iv) Dr. A. Granville (Mathematics Department), for better understanding of the distribution function of the number of integers, in intervals of length z, that are free of prime factors y. Sieving different intervals in parallel will speed up the computations considerably. (v) Dr. J. W. Smith (Computer Science Department), for developing a general parallel method for the reduction of boolean (bit) matrices.