Mathematical Sciences Research Equipment

这是根据数学科学计划的科学计算研究设备活动补助金提交的设备申请。该项目涉及购买专门用于支持数学科学研究的专用科学设备。这种设备是几个研究项目共同需要的，仅凭一个项目很难证明其合理性。国家科学基金会对研究设备的支持，加上制造商对设备的折扣和贡献，以及提交机构的重大费用分摊。该项目提供了大学、产业界和政府合作支持数学科学基础研究的范例。该设备将支持几个项目的研究，包括：(1)数值技术在非线性力学中的应用。(2)符号动力学和元胞自动机。(3)变形空间和离散群及其拓扑。(4)微分几何中的符号计算。(5)偏微分方程组的计算机模拟。

This is an equipment request submitted under the activity Grants For Scientific Computing Research Equipment For The Mathematical Sciences program. The project involves the purchase of special purpose scientific equipment dedicated to the support of research in the mathematical sciences. This equipment is required jointly by several research projects and would be difficult to justify on one project alone. National Science Foundation research equipment support is coupled with discounts and contributions of equipment from manufacturers and significant cost-sharing from the submitting institution. This project provides an example of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. The equipment will support research on several projects, including: (1) Applications for numerical techniques to nonlinear mechanics. (2) Symbolic dynamics and cellular automata. (3) Deformation spaces and discrete groups and their topology. (4) Symbolic computation in differential geometry. (5) Computer simulations in partial differential equations.