Mathematical Sciences Research Equipment

数学科学研究设备

• 批准号: 8704304
• 负责人: Alvin Bayliss
• 金额: $ 4.7万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-15 至 1988-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8704304&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Equipment

This project is an equipment grant under the activity Grants For Scientific Computing Research Equipment For The Mathematical Sciences program. The project involves the purchase of special purpose equipment dedicated to the support of research in the mathematical sciences. In general, this equipment is required jointly by several research projects and would be difficult to justify on one project alone. This research equipment support from the National Science Foundation is coupled with discounts and contributions of equipment from manufacturers and significant cost-sharing from the submitting institution. This project provides a good example of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. The equipment will be used to support research projects in the following areas: (1) Numerical computation of unsteady reaction diffusion problems and a development of an adaptive pseudo-spectral method. (2) Network structures and piecewise linearity in large-scale programming. (3) Numerical computation of free boundary value problems in fluid dynamics. (4) Nonlinear algebraic systems and constrained optimization. (5) Unconstrained minimization and ill-conditioned linear problems.

这个项目是数学科学计划科学计算研究设备活动补助金下的一项设备赠款。该项目涉及购买专门用于支持数学科学研究的特殊用途设备。一般来说，这种设备是几个研究项目共同需要的，很难单独在一个项目上证明是合理的。来自国家科学基金会的这项研究设备支持，加上制造商提供的设备折扣和捐款，以及提交机构的重大费用分摊。该项目为大学、产业界和政府合作支持数学科学的基础研究提供了一个很好的范例。该设备将用于支持以下领域的研究项目：(1)非定常反应扩散问题的数值计算和自适应伪谱方法的发展。(2)大规模规划中的网络结构和分段线性。(3)流体力学自由边值问题的数值计算。(4)非线性代数系统与约束优化。(5)无约束极小化和病态线性问题。