Differential Equations and Applied Mathematics Group

少数民族机构的研究改进（RIMI）项目将 建立微分方程与应用数学群， 发展多维近似和吸引子维数 计算，包括研究低稳定性和方程， 水波 该项目将重点研究非线性 微分方程及其应用、流体动力学和水 波 一些努力将集中在改进和扩大计算机 设施，以加强图形能力。 这个强大的工具将 允许详细检查溶液在临界点附近的行为， 点 问题的图形解决方案将允许研究人员 制定可通过使用其他 方法. 这种综合方法将数值计算和 图形显示将大大提高研究能力， 一个以少数民族为主的机构 主要研究者和 高级工作人员训练有素，并已发表了广泛的参考 期刊 参与该项目的教师和学生将有 他们的数值计算知识大大增加。

This Research Improvement in Minority Institutions (RIMI) project will establish a differential equations and applied mathematics group to develop multidimensional approximations and attractor dimension calculations including the study off low stability and equations of water waves. The project will emphasize studies on nonlinear differential equations and applications and fluid dynamics and water waves. Some effort will focus on improving and expanding computer facilities to strengthen graphics capabilities. This powerful tool will allow detailed examination of the behavior of a solution near a critical point. Graphical solutions of problems would permit investigators to formulate appropriate conjectures that can be proven by employing other methods. This comprehensive approach to merge numerical computations and graphics display will significantly increase the research capability of a predominantly minority institution. The principal investigator and senior staff are well-trained and have published widely in refereed journals. Faculty and students involved with this project will have their knowledge of numerical calculations increased significantly.