Mathematical Sciences: Mathematical Simulations

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。该项目支持的科学将包括：三维流动的精度的数值测试；与可变声速的约化波动方程有关的反问题的图形解；数学生物学中的微分方程组和交互图形的解；以及颗粒流的模拟。

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 science supported on this project will include the following: numerical testing for accuracy for three dimensional flows; graphic solutions to inverse problems related to reduced wave equations with variable sound speed; solutions of differential equations and interactive graphics in mathematical biology; and simulations of granular flow.