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And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.

第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。

There are many ways to analysis and computation of Mikthw's two rotations equation,finite difference method is the most one while using the finite difference method,a flood of data need be collected and computed.

而在目前高性能计算机系统中，最广泛使用的并行环境是MPI(Message Pass-ing Interface)，它已成为一种并行程序的标准。

The soup is warm ing in the pot over the fire.

汤用锅在火上加温。

We heard the wail ing of fire-engine sirens.

我们听到救火车汽笛的尖啸声。

She was scream ing at me like a fishwife.

她对着我大喊大叫。

He was almost fizz ing with combat verve.

投入战斗的急切心情几乎叫他达到了兴奋的状态。

He's always flaunt ing his wealth.

他总是摆阔。

Art is long, and time is fleet ing.

艺术是永恒的，时间则是瞬息即逝的。

Accord-ing to engineering example,the load condition of pulling resistance pile design,pile capacity design of floatage resistance pile,pile body texture design of floatage resistance pile,monolithic stability of grouped piles foundation,floatage resistance per unit area,c...

依据工程实例对抗拔桩设计荷载条件、抗浮桩单桩承载力设计、抗浮桩桩身结构设计、群桩地基整体稳定性、单位面积抗浮力、抗拔桩抗裂分别进行了阐述，以及抗拔桩设计中应考虑的问题进行了论述。

I wasn't expecting the interviewer to ask about my private life and was left flounder ing for a while.

我没想到主持面试的人问我私生活的事，就犹豫了一下。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。