片语

multi-parameter asymptotic error expansion多参数渐近误差展开

asymptotic expansion method渐进展开法

uniformly efficient asymptotic expansion一致有效渐近展开

asymptotic expansion and extrapolation渐近展式与外推

asymptotic error expansion渐近误差展开

Hankel asymptotic expansion汉克尔渐近展开

complete asymptotic expansion全渐进展开

asymptotic expansion of moments动差渐近展开式

asymptotic series expansion渐近级数展开

英汉例句

• 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。

• on the basis of the governing equations and the asymptotic expansion of the stress fields proposed by gao and hwang, a generally asymptotic analysis is performed.

  基于基本方程组和高玉臣、黄克智提出的应力场的渐近展开式作了渐近分析。

• in chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.

  第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。

• thus, the fully asymptotic expansion of the homogeneous solution within the accuracy of theory of thin shells is obtained.

  这样，轴对称正交异性圆环壳的齐次解第一次有了达到薄壳理论精度的完全的渐近展开。

• using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain.

  本文研究了一类高阶半线性椭圆型方程奇 摄动边值问题。利用比较定理，证明了渐 近解的致有效性。

• when parameters of the input of a large scale system deviate, its approximate reduced order model can be obtained by using the asymptotic expansion of the input function.

  当大系统的输入函数的初始参数发生偏离时，其最优简化模型的近似模型可以利用输入函数的渐近展开得到。

• the uniqueness of the solution is proved, and the asymptotic expansion of the solution and remainder estimation are also given.

  研究了一类含有迁移项的奇摄动抛物方程的周期解问题，给出了解的存在唯一性、渐近解及其余项估计。

• under suitable conditions we proved existence of solution and its uniformly valid asymptotic expansion of arbitrary order is given.

  在适当的假设下，证得解的存在并给出任意阶的一致有效的渐近展开式。

• the present paper presents an uniformly valid asymptotic expansion for a class of singular perturbation boundary value problems via the renormalization group method.

  用重正化群方法，对一类非线性奇异摄动问题构造了一致有效的渐近展式。

• the uniformly valid asymptotic expansion of solution for the problem is obtained.

  得到了问题解的一致有效的渐近展开式。

• we apply the boundary layer directly by two-variable expansion method and deduce 1st-order asymptotic expansion of the solution.

  并运用两变量展开直接构造边界层的方法，导出解的一阶渐近展开式。

• a class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. the uniform valid of the constructed asymptotic expansion is proved.

  利用匹配条件，讨论了一类三阶非线性奇摄动问题，得出了奇摄动边值问题的渐 近展开式。

• then the asymptotic expansion of the numerical solution is established.

  然后建立了差分周期解的浙近展开式。

• 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。

• under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of m order and made an estimation of the remainder in asymptotic series.

  研究拟线性双曲型方程柯西问题，在一定假设下，得到解的m阶一致有效的渐近展开式，并作出余项估计。

• the iterative method is simpler than the asymptotic expansion method of calculation.

  而且，在计算上迭代方法比渐近展开法更为简单。

• the uniformly valid asymptotic expansion in entire is obtained.

  并得到了一致有效的渐近展开式。

• if a parameter in the inputs of the original large scale system deviates, the corresponding reduced order model can be changed by using the asymptotic expansion of the input functions.

  本文最后给出，当角频率有偏离时，其最优简化模型可以利用正弦输入函数的渐近展开式作相应的改变的结论。而且这种方法也适用于其它输入函数的参数偏离时的情形。