Mathematical Sciences Research Equipment

这是科学计算研究基金会的一笔拨款 该司数学科学方案的设备 数学科学。这是为了购买特殊的 专用于支持研究的设备 数学科学 一般来说，这种设备需要 几个研究项目，很难证明 一个项目单独。 国家科学基金会的支持 再加上制造商的折扣和贡献， 并由提交报告的机构分摊大量费用， 这个提议 这是一个大学、工业和 政府合作支持基础研究 数学科学 本项目的设备将用于以下方面 研究项目;（1）收敛的数值近似 的速率、不变分布和吸收概率 随机环境中的马尔可夫链;（2）数学和 晶体中粒子扩散的计算研究（3） 生物适合度测量的比较;以及（4） 数学建模与数据分析 细胞与环境的相互作用。

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences. It is for the purchase of special purpose equipment dedicated to the support of research in the mathematical sciences. In general, this equipment is required by 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 institution submitting the proposal. This is an instance of university, industrial, and government cooperation in the support of basic research in the mathematical sciences. The equipment in this project will be used in the following research projects; (1) Numerical Approximation of Convergence Rates, Invariant Distributions and Absorption Probabilities for Markov Chains in Random Environments; (2) Mathematical and Computational Studies of Particle Channeling in Crystals; (3) Comparison of Measures of Biological Fitness; and (4) Mathematical Modelling and the Analysis of Data on the Interaction of Cells with Their Environment.