通过合理控制计算量，得到了微分方程近似解的局部截断误差的估计。
The local truncated error estimation of the approximately solution could be obtained with reasonable computational cost.
应用目前流行的信赖域算法，并用带有信赖域技巧的截断共扼梯度法来解信赖域子问题。
We apply the popular trust region algorithm and truncated conjugate gradient algorithm with trust region skills to solve trust region subproblems.
通过解析解与没有修正的差分解进行对比，结果表明，没有修正的截断误差是不能忽略的。
The comparison between analytical solution and uncorrected solution shows that uncorrected truncation errors can not be ignored.
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