Mathematical Sciences: Enhancement of Scientific Computing Equipment: Research in Applied Mathematics and Statistics

杜兰大学数学系将购买一台带有324 MB RAM和4GB磁盘的Silicon Graphics Power Challenge L服务器以及软件包Maple和Splus。用这笔拨款购买的设备将用于几个研究项目，特别是：在三维空间中求解抛物系统的自适应方法（可能与椭圆系统耦合）、计算生物流体动力学和计算统计的模拟方法。摩尔教授正在开发一种自适应局部细化算法，该算法利用了三维抛物线系统在空间和时间上的顺序和步长变化。该代码的应用包括电生理和地幔相变模型。福奇教授开发了一种数学和计算方法来研究水生动物运动的流体动力学。Dinwoodie教授正在研究模拟离散分布的Metropolis算法。项目参与者还包括一名NSF博士后，五名研究生和一名本科生。

Moore 9627614 The Department of Mathematics at Tulane University will purchase a Silicon Graphics Power Challenge L Server with 324 MB RAM and 4GB Disk and the software packages Maple and Splus. The equipment purchased with this grant will be used for several research projects, including in particular: adaptive methods for solving parabolic systems in three space dimensions possibly coupled with elliptic systems, computational biofluiddynamics, and simulation methods for computational statistics. Professor Moore is developing an adaptive local refinement algorithm that utilizes variation in order and step-size in both space and time for parabolic systems in three dimensions. Applications of the code include models in electrophysiology and phase transitions in the mantle. Professor Fauci has developed a mathematical and a computational method to study the fluid dynamics of aquatic animal locomotion. Professor Dinwoodie is studying the Metropolis algorithm for simulating discrete distributions. Project participants also include one NSF postdoctoral associate, five graduate and one undergraduate students.