Differential Equations and Applied Mathematics Group

“改进少数民族机构研究”（RIMI）项目将建立一个微分方程和应用数学小组，开展多维逼近和吸引子维数计算，包括研究低稳定性和水波方程。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。一些努力将集中于改进和扩大计算机设施，以加强图形处理能力。这个强大的工具将允许详细检查解决方案在临界点附近的行为。问题的图形解法将使研究人员能够提出适当的推测，这些推测可以通过采用其他方法加以证明。这种将数值计算和图形显示相结合的综合方法将显著提高一个以少数族裔为主的机构的研究能力。主要研究人员和高级工作人员训练有素，并在期刊上广泛发表文章。参与该项目的教师和学生将大大提高他们的数值计算知识。

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.