Convergence and stability need to be considered before developing efficient numerical methods.
为了构造有效的数值方法，首先要考虑到数值方法的收敛性和稳定性。
The finite element method is one of the efficient numerical methods to solve partial different equations (PDEs).
有限元法是解偏微分方程的有效方法之一。
Numerical experiment shows that the methods are efficient.
数值试验表明这类方法是有效的。
Level Set methods are robust and efficient numerical tools for resolving curve evolution in image segmentation.
水平集方法应用于图象分割的曲线或曲面进化问题，是一种稳定有效的数值计算方法。
This paper provides some simple and efficient methods for inversely solving the parameter of the point and the inner weight, which avoid the instability in numerical calculation.
本文提供了一些简单有效的方法，反求曲线上该点的参数和内权因子，避免了数值计算的不稳定性。
Numerical example showed these methods here to be efficient.
数值结果表明，本文所构造的方法是有效的。
Among all the numerical analysis methods, the Discontinuous Deformation analysis (DDA) method is an efficient method with high accuracy.
在解决岩土工程非连续变形问题的数值方法中，非连续变形分析方法(DDA)无疑是一种高效、精确的算法。
Numerical results are performed with two-level approximations, which demonstrate that the incremental unknowns method when combined with some iterative methods is very efficient.
给出数值试验，通过两层逼近证明增量未知元是一个好的预处理子，尤其在结合一些迭代方法时。
Only the Euler method is popular and efficient among the numerical methods for the stochastic delay differential equations, but its order of convergence is only 1/2.
随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。
Only the Euler method is popular and efficient among the numerical methods for the stochastic delay differential equations, but its order of convergence is only 1/2.
随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。
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