Observational study for the system of interval analysis by seamless access

这项研究展示了计算流体力学数值模拟的基本特征和数值验证系统的开发。特别是关于流体力学区间分析和并行计算的基本算法的发展。这一观察结果确实是随着技术的发展而出现的，以扩大我们的计算能力，从而鼓励越来越大的系统的数值问题。此外，高性能计算使我们能够研究复杂程度远远超出当前可用的分析工具限制的数学模型。因此，高效、可靠的大型问题求解算法的发展将对计算动力学产生持续的影响。他们的主要工作包括：区间计算的数学分析、计算机网络及其计算机图形学的交互界面、金融问题的基本概率分析、大规模问题的并行数值算法等。这里没有完整的故事，但描述了几个主要趋势。研究人员现在也开始将他们的技术扩展到更实际和现实的应用中。如果没有这笔赠款，这个项目就不可能开始，我们对此表示诚挚的感谢。

This research presents a fundamental characterization of the numerical simulation of computational fluid dynamics and the system development of numerical validation. In particular, we focus on the development of basic algorithm concerning the interval analysis of fluid dynamics and parallel computation. This observation is indeed present as technological developments to expand our computational power, thus encouraging the numerical problems of larger and larger system. Moreover, high-performance computing puts us in a position where we are able to study mathematical models at complexity levels far beyond the limits of currently available analytic tools. Fore these reasons, the development of efficient and reliable algorithms for solving large problems will have continued impact of on computational dynamics. The leading researchers perform their works : mathematical analysis of interval computation, interactive interface of computer network and its computer graphics, basic probabilistic analysis of finance problems, parallel numerical algorithms for large scale problems et etc. There is much research activity on the developments in the large scale settings. The whole story is not here, but several major trends are characterized. The researchers are also now beginning to extend their techniques to more practical and realistic applications. This project could not have been begun if it were not for this grant, to which we offer our sincere appreciation.