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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。

Based on the theory of tidal flow and sediment motion, a 2-D depth-integrated mathematical model for the Jiaojiang Estuary is developed by using explicit scheme of finite difference on the triangle elements. The results show that the rotary currents occurring in this area can be simply and effectively simulated by the model. Meanwhile, the suspended sediment concentration simulated is in agreement with the field data.

本文根据椒江口实测水文地形资料，从平面二维水流泥沙基本方程和基本理论出发，采用三角单元有限差分法对水流泥沙方程显示求解，对椒江口潮流泥沙进行了数值模拟，模型简单实用，较好地再现了具有旋转潮波性质的椒江河口水流运动特征，含沙量场也得到了基本正确的反映。

Multivalued maximal monotone operator; Multivalued stochastic differential equation; Explicit solutions; Limit theorem; Denjoy's continuity; Non-Lipschitz coefficient; Large deviations

基础科学，数学，概率论、数理统计多值极大单调算子；多值随机微分方程；显式解；极限定理； Denjoy连续性；非Lipschitz系数；大偏差原理

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。