Mathematical Sciences Research Equipment

本项目是赠款活动下的设备赠款 科学计算研究设备 科学计划。 该项目涉及购买特殊的 专用于支持研究的设备 数学科学 一般来说，这种设备是必需的。 由几个研究项目联合进行，很难 仅凭一个项目。 这项研究设备的支持，从国家科学 基金会与折扣和捐款相结合， 制造商提供的设备， 提交机构。 这个项目提供了一个很好的例子 大学，工业和政府合作， 支持数学科学的基础研究。 这台设备将用于几个研究项目 包括以下步骤： (1)开发交互式图形例程， 计算两两相交多重性的算法 的Hirzebruch-Zagier循环在一个紧凑的Shimura表面将是 实施， (2)各种近似解的数值方法 储层参数识别问题 模拟、物理学和生物学， (3)创建一个符号计算环境， 寻找李代数的无穷小变形 表示将自动实现， (4)作用在齐性空间上的有限子群的计算 一个Lie group

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. This equipment will be used for several research projects including: (1) development of interactive graphics routines with which algorithms for computing the pairwise intersection multiplicities of Hirzebruch-Zagier cycles in a compact Shimura surface will be implemented, (2) numerical methods for approximate solutions for various identification of parameters problems appearing in reservoir simulation, geophysics and biology, (3) creation of a symbolic computational environment in which the search for infinitesimal deformations of Lie algebra representations will be implemented automatically, (4) computation of finite subgroups acting on homogeneous spaces of a Lie group.