数学规划加权残值法及其进展

THE MWR OF MATHEMATICAL PROGRAMMING AND ITS ADVANCES

微分方程问题双边不等式数学规划解法与现有各种数值方法不同．该方法在不知道精确解的情况下，可首先求得近似解的最小上界和最大下界．计算量小，精度高．算题过程中可随时控制计算精度，不浪费机时，也不盲停机，使计算终止于“经济精度”上．

This paper presents a new method of weighted residuals called theMWR of mathematical programming,which is to seek the approximate solutionsof differential equations by the use of the mathematical programming and thebilateral inequality, as is different from other methods.By this method,it ispossible to find the upper bound and lower bound of the approximate solution.Moreover,this method possesses the advantage that the degree of accuracy ofthe approximate solutions may be controlled during the process of calculation.In this sense, this method is also very economical.