论加权残值法之配点法的收敛性问题

On the Convergence of Collocation Method when Applied to the Method of Weighted Residuals

摘要: 对加权残值法(MWR)之配点法的收敛性问题进行了讨论。建议在近似计算中采用“准收敛准则”判断近似解的收敛性。指出配点法不能保证准收敛。同时分析了这一缺陷是引用狄拉克(Dirac)δ函数作权函数所导致的。

Abstract: Deals with the convergence of the collocation method . An almost -convergent standard is suggested for use in approximate calculations . It is pointed out that, in general, convergence of the collocation method cannot be assured .