Differential Equations and Applied Mathematics Group

这个少数民族机构的研究改进(RIMI)项目将建立一个微分方程组和应用数学小组，以开发多维近似和吸引子维度计算，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式及其应用、流体动力学和水波。一些努力将集中在改善和扩大计算机设施，以加强图形能力。这一强大的工具将允许详细检查临界点附近的解决方案的行为。问题的图解将允许调查人员提出适当的猜想，这些猜想可以通过使用其他方法来证明。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。首席调查员和高级工作人员训练有素，在被引用的期刊上发表了大量文章。参与这个项目的教职员工和学生的数值计算知识将会显著增加。

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.