交替

We propose new self-adaptive alternating direction method.

我们提出新自适应交替方向法。

This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail.

文摘：详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。

In this thesis, we discuss some algorithms for giving the zeros of maximal monotone operator in a Hilbert space and the alternating direction method for the variational inequalities.

本论文主要讨论了求解Hilbert空间上极大单调算子的零点的数值算法以及有限维空间上的变分不等式的交替方向方法。

Advanced numerical simulations were introduced in soil water research,such as finite analysis method,characteristic finite element method,and alternating direction finite element method.

土壤水研究的数值模拟方法也有一些突破，如有限解析法、特征有限元法、交替方向有限元法等。

The alternating direction implicit method is used to solve discretization equation and supplement block iteration method to quickening convergence.

本文选择交替方向隐式迭代法，并补以块修正技术以促进收敛。

A high-order alternating direction implicit method for solving two or three dimensional heat equations is proposed. The method is fourth order in space and second order in time.

提出了数值求解二维和三维热传导方程的高精度交替方向隐式方法，其空间为四阶精度，时间为二阶精度，并通过Neumann方法证明是无条件稳定的。

However the computation of the finite element method is very complex when dealing high-dimensional problems. So that in order to solve the multi-variables problems, the alternating- direction method appears. It can lower the dimension.

有限元方法虽然具有高精度的优点，但是在处理高维问题时计算很复杂，因此为求解多变量的复杂问题，出现了交替方向法，可以把多维问题降维，分解成连续解几个一维问题。

To one kind of variational inequalities, some researchers give an alternating direction method, which solve a linear variational inequality and a system of nonlinear equations in each iteration.

针对一类变分不等式，有研究者给出了一种交替方向法，在每一步迭代中分别要求解一个线性变分不等式和一个非线性方程。

The subdomain precise integration with multiple inner points can improve the precision. This paper gives alternating direction precise integration method for twodimensional diffusion equation, and discusses the parallel algorithm of this method.

给出了交替方向的二维扩散方程的精细积分算法，将一个时间步积分分为两个方向，使大规模矩阵的计算转化为一些小矩阵的计算，减小了每一步求解的计算量。

A numerical simulation technique based on the stable alternating direction implicit method and the upper bound element technique is presented and applied to simulations of extrusion directly following liquid infiltration which involves infiltration,solidification, and large plastic deformation in one process.

采用稳定的交替方向隐式有限差分方法、上限元法等数值计算方法模拟了融浸渗、凝固和大塑性变形为一体的液态浸渗后直接挤压的工艺过程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失