The matched-asymptotic expansion method is adopted to solve the problem of transmission and reflection of a planar soliton on a two-dimensional floating body.
本文应用渐近匹配方法探讨了孤立波遇到二维柱体时的透射与反射问题。
The Rayleigh inverse-iteration method and boundary layer asymptotic expansion method are used to solve the blunt cone boundary layer stability equation to get reliable boundary layer transition data.
然后应用反迭代法与边界层渐近匹配的方法求解了钝锥边界层的稳定性方程，得到了钝锥边界层转捩数据。
Renormalization group method is an effective tool to obtain the uniformly valid asymptotic expansion exact solutions of this kind of problems.
重正化群方法已成为获得这类问题精确解的一致有效渐近展开式的有用工具。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
Our proof of the convergence is based on an asymptotic diffusion expansion and requires error estimates on a matched boundary layer approximation to the solution of the discrete-ordinate method.
其收敛性的证明是依据其渐近扩散展开式，在边界层上得到的误差估计逼近其离散纵标方法的解。
The finite element method is combined with homogenization theory based on asymptotic expansion for predicting effective properties of polymer matrix composites toughened and strengthened by particles.
将数学上的均匀化方法与有限元法相结合，预测了颗粒增韧增强聚合物基复合材料的有效性能。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
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.
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。
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