收敛级数 meaning in English

convergent series

Conditionally convergent series
条件收敛级数
Regularly convergent series
正则收敛级数
Theorem 9 ( rearrangement theorem ) the terms of an absolutely convergent series can be rearranged without affecting either the convergence or the sum of the series
定理9 (可交换性定理)绝对收敛级数经改变响的位置后构成的级数也收敛，且与原级数有相同的和(即绝对收敛级数具有可交换性) 。
In this paper , we expand eigenvalue of poisson equation using bilinear element , by the formulation of the error expanition , we can conclude that it is a upper bound . and by two numerical example , we computer the approximate eigenvalue of poisson equation in square and l - shape domains , then we analyses the approximate eigenvalue . we also extraplate the error expansion and enhance the accuracy of the eigenvalue form the second order to the forth order
本论文对poisson方程的特征值采用双线性元进行展开，得到了误差展开式，通过误差展开式，我们能得到特征值是上界。通过数值算例，计算方形与l形区域上的poisson方程的近似特征值，并对数据进行分析，验证了理论的正确性，然后通过对误差展开式外推，收敛级数可以从二阶提高到四阶，得到了高精度的解。