渐近展开被定义为一个函数级数（通常是柯西发散的），该级数的每一个部分和都给出该函数的一个渐近表达式。
渐近展开解法 asymptotic expansion solution
匹配渐近展开式 matched asymtotic expansions
渐近展开公式 [数] asymptotic expansion formula
渐近展开法 method of asymptotic expansion
动差渐近展开式 asymptotic expansion of moments
匹配渐近展开 matched asymptotic expansions
解的渐近展开 asymptotic expansion of solution
德拜渐近展开 Debye asymptotic expansion
In this thesis, we mainly study the multi-scale asymptotic expansion and high accuracy algorithm for the periodic structure of composite materials. Especially, we study the multi-scale asymptotic expansion and high accuracy algorithm for perforated composite materials in details.
本文主要研究复合材料周期结构的多尺度渐近展开与高精度算法,特别对多孔复合材料的多尺度渐进展开与高精度算法作了比较详细的研究。
参考来源 - 多孔复合材料周期结构的多尺度模型与高精度算法·2,447,543篇论文数据，部分数据来源于NoteExpress
论文得到了球形检验的似然比准则，它的渐近展开与极限分布。
The likelihood ratio criterion of sphericity test, its asymptotic expansion and limiting distribution are obtained.
据此利用渐近展开和分离变量相结合的方法对裂尖奇异性指数的变化进行了分析。
With the method of asymptotic and variable separation, the stress singularity near the conic-shaped crack tip at a bi-material interface is fulfilled.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
应用推荐