摘要
简述了用配点法解题时所隐含的收敛性及精确性问题 ,指出配点法解题不能完全保证近似解收敛于问题的精确解 .配点法失去精确性 ,是由于在引用权函数对残值进行加权消除时 。
The convergence problem of the collocation method is studied. It is pointed out that the approximate solution received by the collocation method does not ensure its convergence to the accurate solution of the problem,and analyzes reasons.Furthermore,it points out that the collocation method is not accurate because it does not satisfy residuals in whole domain when it is used.
关键词
配点法
加权残值
收敛性
权函数
collocation method
method of weighted residuals
convergence
