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.

该项目是数学科学计划的科学计算研究设备的活动赠款下的设备赠款。 该项目涉及购买用于支持数学科学研究的特殊用途设备。 通常，几个研究项目需要共同需要该设备，并且很难仅仅在一个项目上证明这一设备是合理的。 国家科学基金会的这项研究设备支持以及制造商的设备折扣和贡献以及提交机构的大量成本分担。 该项目为大学，工业和政府合作提供了一个很好的例子，以支持数学科学的基础研究。 该设备将用于支持以下领域的研究项目：（1）对不稳定反应扩散问题的数值计算以及自适应伪谱法的发展。 （2）大规模编程中的网络结构和分段线性。 （3）流体动力学中自由边界价值问题的数值计算。 （4）非线性代数系统和限制优化。 （5）无约束的最小化和条件不足的线性问题。