Co-operative Research on Numerical Analysis of Partial Differential Equations Applied to High Technology.

本研究旨在加强和重新安排偏微分方程数值求解中面向应用的基本理论。它还旨在促进这些理论向现代工业高科技的转化。1.从偏微分方程数值求解技术应用于高科技的角度出发，提出了偏微分方程数值求解技术的新方法。-计算流体力学中新的有限元格式，Chrge模拟方法的数学说明。应从数学分析和计算的角度重新审视高新技术发展所需的产业数学模型。-边界元技术的高精度计算，积分方程式方法在高度非线性力学和反问题中的新应用。应加快科学和工程交叉领域的合作研究工作的整合。-几个专题研讨会、论坛和研讨会。

The research aimed at strengthening and rearranging application-oriented basic theories in the numerical solutions of partial differential equations. It also aimed at promoting transfer of the theories to modern high technology in industries. The objective was emphasized about the following issues --- and some corresponding remarkable results are obtained :1. New methodologies in numerical solution technique for partial differential equations should be proposed from point of view on their applications to high technology. --- New finite element scheme in computational fluid dynamics, mathematical elucidation of chrge simulation method.2. Re-examination of mathematical models required in industries for new development of high technology should be taken from point of view on mathematical analysis and computation.--- Highly accurate computation in boundary element technique, new applications of integral equation methods to highly nonlinear mechanics and inverse problems.Integration in co-operative research work in interdisciplinary areas in science and engineering should be accelerated. --- Several symposiums, forums, and workshops dedicated.