查询词典 asymptotic expansion

An asymptotic expansion of the errors with O(h3) is shown. Therefore , by using extrapolation we can improve the accuracy order of approximations.

该方法的优点在于奇点处权函数的选择，并且证明了误差有h3幂渐进展式，从而可以利用外推达到加速收敛的目的，更好地提高了计算精度。

If we can get, a multiparameter asymptotic expansion of double-quadratic isoparametric finite element errors on coarse grid with respect to independent grid setps , we can get several splitting extrapolation formulas.

只要我们对粗网格上的双二次等参有限元的误差可以证明对独立步长有多变量渐近展开式，我们就能得到分裂外推公式。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题，构造一个差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。

The homogenization method uses the asymptotic expansion of small parameters, and the effective properties of composite materials are extremum, which are different from the real properties of composite materials.

事实上，多孔材料物性参数测试结果与均匀化计算结果均存在一定差异，这种差异就是材料的尺度效应。

By adopting the asymptotic expansion method, the higher order partial differential equation was transformed into the system of ordinary differential equations.

采用渐近展开法，将该控制方程——高阶偏微分方程转化为常微分方程组，求解该方程组获得应力函数，进而得到功能梯度材料中裂纹尖端应力高阶渐近场的解析式。

The finite element method was combined with homogenization theory based on asymptotic expansion for predicting effective properties of crystal polymer nanocomposites, double nanoscopic level homogenizations and one microscopic homogenization were used.

利用数学上的渐近均匀化理论，结合有限元方法，经二次纳观层次的均匀化和一次细观层次的均匀化，预测了聚合物基纳米复合材料的有效性能。

Different from the scattering theory used in the derivation of conventional generalized screen propagator, in this paper, a high order formula of generalized screen propagator for oneway wave equation is proposed by using the asymptotic expansion of singlesquareroot operator.

不同于常规广义屏传播算子的推导中使用散射理论，本文利用单平方根算子的渐近展开，推导出了单程波方程广义屏传播算子的高阶表达式。

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

By using nonconforming element and Bramble-Hilbert-Xu Lemma, Laplace approximating eigenvalue is given by the means of asymptotic expansion and the main error terms are presented ,too.

利用Bramble Hilbert Xu引理对Laplace特征值用一个非协调元作对称展开，给出该单元在研究Laplace特征值问题时的误差主项，并进一步给出外推结果，最后给出数值验证。

A relative Szego projection is defined in the space of small deformations of 3-d CR structures of finite type, which is Fredholm. We also prove an index theorem, in whose proof we actually have the asymptotic expansion of the Szego kernel.

在三维有限型的CR结构的小形变空间上定义了相对Szego投影算子，并证明了相对Szego投影算子是Fredholm算子和相应的指标定理。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。