加权残值法（Method of Mean Weighted Residuals）是一种应用广泛的求解微分方程的方法.该方法先假定一族带有待定参数的定义在全域上的近似函数,该近似解不能精确满足微分方程和边界条件,即存在残差.在加权平均的意义下消除残差,就得到加权残值法的方程.由于试函数定义在全域上,所得方程的系数矩阵一般为满阵.选取不同的权函数,可得到不同的加权参量法.。
离散型最小二乘法是解微分方程的加权残值法的一种。
The discrete least square method is one of methods of weighted residual (MWR) for Solving differential equations.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
本文回顾了固体力学加权残值法近几年来在我国开发研究和应用的情况。
This paper offers a review of the recent research work of the weighted residual methods for solid mechanics and its applications in our country.
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