Mathematical Sciences Research Equipment 1990

本项目为美国国家科学基金会数学科学部数学科学项目的科学计算研究设备项目。该计划支持购买专用于数学科学研究的专用计算设备。这些设备是几个研究项目所需要的，很难证明单独用于一个项目是合理的。国家科学基金会的支持与制造商的折扣和捐款以及提交提案的机构的大量费用分摊相结合。这个项目是学术、企业和政府合作支持数学科学基础研究的一个例子。该设备将用于支持伍斯特理工学院数学科学系的四个研究项目：自由表面流动的数值计算，研究者是F. Dias；蠕动运动的数学研究，研究者是唐博士；对称分岔的数值范式化简，研究者是B. Farr；一种用于非线性自回归模型估计和预测的类自举方法，研究者是郭明。

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences of the National Sciences Foundation. This program supports the purchase of special purpose computing equipment dedicated to the conduct of research in the mathematical sciences. This equipment is required for several research projects and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers and with substantial cost-sharing from the institutions submitting the proposal. This program is an example of academic, corporate, and government cooperation in the support of the basic research in the mathematical sciences. This equipment will be used to support four research projects in the Department of Mathematical Sciences of Worcester Polytechnic Institute: numerical computation of free surface flows, the investigator is F. Dias; mathematical studies of peristaltic motions, the investigator is D. Tang; numerical normal form reduction for bifurcation with symmetry, the investigator is B. Farr; a bootstrap-like method for estimation and prediction in nonlinear autoregressive models, the investigator is M. Guo.