一维格子,间隔为等比级数,且比例分级

设区间为(x_1, x_2),总格点数为N,比例等级数为m,每级格点数为nN = m\times n。  假定比例的比例已知,为\xi。问题是需要找个算法来确定第一个格子的宽度\Delta x_0和每级内格子宽度之间的比例\eta

我们有 \displaystyle \Delta x_0 \frac{\xi^m-1} {\xi-1} \frac{\eta^n-1} {\eta-1} = x_2 - x_1.

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