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

9309286王，艾伦该奖项支持怀俄明大学和中国科学院北京系统科学研究所的研究人员在开发和研究(理论和实验)方法和技术方面的合作，这些方法和技术可以有效地计算出与微分方程解的近似。建议的工作将利用以林群教授为首的中国小组在数值分析方面的互补技能，特别是在有限元方法方面，以及怀俄明小组在大规模计算和数学建模方面的技能。数学模型和科学计算在天气预报、能量转换分析与设计、污染物迁移等应用领域发挥着越来越重要的作用，所提出的研究对于通过先进的数值方法解决这些问题具有重要意义。中国与会者的理论优势和美国与会者的实践经验相结合，应该会产生两个小组都不可能在没有合作的情况下取得的成果。

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.