US-China Cooperative Research: Efficient Numerical Methods for Partial Differential Equations

9309286王，艾伦 该奖项支持怀俄明州大学和中国科学院北京系统科学研究所的研究人员之间的合作，以开发和研究（理论和实验）的方法和技术，从而以有效的方式计算微分方程的近似解。 这项研究计划将利用以林群教授为首的中国研究小组在数值分析，特别是有限元素法方面的专长，以及怀俄明州研究小组在大规模计算和数学模型方面的专长。 数学模型和科学计算在许多应用领域，如天气预报，能量转换分析和设计，污染物输运等发挥着越来越重要的作用，提出的研究具有重要的意义，有助于通过先进的数值方法实际解决这些问题。 中国参与者的理论优势和美国参与者的实践经验相结合，应该产生没有合作任何一方都无法实现的结果。

9309286 Wang, Allen This award supports collaboration between researchers at the University of Wyoming and the Chinese Academy of Sciences' Institute of Systems Science, Beijing, in development and study (both theoretical and experimental) of methods and techniques which allow computation of an approximation to the solution of a differential equation in an efficient way. The work proposed will draw on the complementary skills of the Chinese group, headed by Professor Lin Qun, in numerical analysis, particularly on finite element method, and the skills of the Wyoming group in large scale computation and mathematical modeling. Mathematical models and scientific computations are playing an increasingly important role in many applied fields such as weather prediction, energy conversion analysis and design, contaminant transport, etc. The proposed research has important implications for contributing to practical solution of such problems through advanced numerical methods. The combination of theoretical strengths of the Chinese participants and the practical experience of the US participants should produce results which neither group could accomplish without the collaboration.