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These methods will be studied separately with the Euler implicit difference scheme and the Euler explicit difference scheme.

第一种方法是两层有限元Galerkin方法，第二种方法是修正有限元Galerkin方法，对这几种算法我们分别在欧拉显式差分格式和欧拉隐式差分格式下进行讨论研究。

Second-order-accuracy non-oscillatory and non-free-parameters dissipative finite difference scheme and explicit time-marching method were used to obtain numerical solutions.

采用二阶精度无波动、无自由参数的耗散差分格式和显式时间推进法求出数值解。

For the American put option and binary option which do not have analytical solution, we propose algorithms based on explicit scheme and implicit difference scheme and then

对不存在解析解的美式看跌期权和两值期权分别给出了显式、隐式差分算法，并对格式的相容性、稳定性、收敛性进行了分析。数值实验结果表明这种方法是有效而实用的。

An asynchronous staggered iteration FEM method with explicit difference scheme is suggested to solve solid-liquid coupling dynamic elastoplastic problem.

提出了一个新的次塑性模型并用试验作了初步验证，建议用异步交叉迭代显式差分有限元求解固液耦合动力弹塑性问题。

For dynamic problem, the unsimultaneous staggered iteration FEM method with explicit central difference scheme is used for the elasto-plastic analysis of the dynamic response of a soil foundation. The computed results show good agreement with soil mechanic knowledge.

对于动力问题，采用异步交叉迭代显式有限元解法，对典型的地基算例进行了固液耦合的有限元动力弹塑性反应分析，结果定性符合土力学的一般规律。

Here, the theory and the deducing process of the SEM based on the Legendre polynomial is given. The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程，该方法可以形成全局对角质量矩阵，在时间域使用显式的差分算法，提高运算效率，最后通过横向各向同性介质的数值计算，模拟结果表明该方法是一种有效的数值模拟方法。

In fact, the popular semi-implicit integration scheme of spectral model still includes some important linear terms difference by time explicit scheme. Furthermore, these terms are directly related with fast gravity waves in the forecasting equation.

国际上现行的谱模式半隐式时间积分方案，实质上还包含了采用显式格式的线性项，且这些项在预报方程中是与激发内、外重力快波直接相关的大项。

Three-dimension parabolic equation ; high precision ; explicit difference scheme ; truncation error

三维抛物型方程；高精度；显式差分格式；截断误差

The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程，该方法可以形成全局对角质量矩阵，在时间域使用显式的差分算法，提高运算效率，最后通过横向各向同性介质的数值计算，模拟结果表明该方法是一种有效的数值模拟方法。

An explicit finite difference scheme is constructed to simulate Baldwin-Barth one-equation turbulence model. By using Von Neumann analysis method, its stability condition is obtained.

在非结构网格上构造格心显式格式求解Baldwin-Barth-方程湍流模型，并运用Von Neumann稳定性分析方法，给出〓格式稳定性条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。