近似微分

Firstly, an overview is given on the wave equation issue, its solution, along with the historical and present studies of computability theory.

随着计算机科学的快速发展，应用计算机来给出非线性偏微分方程的解析近似解在理论上已成为可能。

The solution of this algebraic system contains the nodal values that collectively represent an approximation to the continuous solution of the initial PDE.

求解结果中整个网格的节点值可视为对原连续偏微分方程的近似解。

The first section is to introduce some corresponding basic definiens and properties on the fractional calculous. The rest of the chapter is to present solving methods for the approximation solutions of the nonlinear fractional differential equations and their application.

首先介绍了本章涉及到的分数微积分的定义及其性质，然后介绍了非线性分数阶微分方程近似求解的方法及其应用。

Meshless method is a new numerical method on problem for determining solution of differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems and the extremely large deformations problems can be solved without the re-meshing techniques.

无网格方法是求解微分方程定解问题的一种新数值方法，它采用基于点的近似，可以彻底或部分地消除网格，因此在处理不连续和大变形问题时可以完全抛开网格重构。

Meshless method is a new numerical method on problem for determining solution of partial differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems, the extremely large deformations problems, and movable boundary problems, etc, can be solved by use to meshless without the re-meshing techniques. And not only the calculated precision can be guaranteed, but also the calculated difficulty can be decreased.

无网格方法是求解微分方程定解问题的一种新的数值方法，它采用基于点的近似，可以彻底或部分地消除网格，因此在处理不连续、大变形、移动边界等问题时可以完全抛开网格重构，不仅可以保证计算的精度，而且可以减少计算难度。

For example differential calculus does a great deal with linear approximation to functions.

例如微分做了大量的线性近似的职能。

The absolute differential cross section of e-Ar scattering with one-, two-, and three-photon exchange at scatering angles 1°～26° are calculated.

利用第二玻恩近似方法对激光场中e-Ar的散射进行了研究，计算了散射角为1°～26°，交换多个光子的微分散射截面。

The differential scattering cross sections, partial wave scattering cross sections and total scattering cross sections for collisions between He atoms and HCl molecules are calculated by using CC(Close-Coupling) method under three different potential models, respectively. And the results of the calculation are compared detailedly.

针对He-HCl碰撞体系的三种不同势能模型，采用公认的精确度较高的CC近似方法，分别计算了He-HCl体系的微分散射截面、分波散射截面和总截面；并对计算结果进行了比较和详细地分析。

The differential and partial wave scattering cross sections of Ne-H2(D2,T2) collisions have been calculated by close-coupling approximation method using Tang-Toennies potential model at the incident energy of 83.8 meV.

使用密耦近似（Close-Coupling）方法、采用Tang-Toennies势模型计算了惰性气体原子Ne与H2分子及同位素D2分子在碰撞能量为83.8 meV时的微分散射截面及分波截面，并与实验值和文献值进行比较。

In addition, the representation of differentiation operator in wavelet bases is almost diagonal with a diagonal pre-conditioning operator.

另外微分算子在小波基下的表示具有近似对角线分布而且还存在着一个对角化预正则化算子。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。