数值方程

IN CHAPTER TWO,we consider the wavelet numerical solution of the Neumannboundary value problem of Laplacian equation.

第二章，我们考察了Laplace方程的Neumann边值问题的小波数值解。

Through comparison of the results of numerical simulation and experiment results, two equation model was validated with constants recommended by Launder and Spalding in the paper.

采用Launder和Spalding提供的模型常数，通过数值模拟分析结果与实验值的比较确认了两方程κ-ε湍流模型对本实验装置的适用性。

Secondly three kinds of approaches of function approximation are discussed which are the interpolation with radial basis function, moving least squares and approximate approximation. And the correlative theories are proved.

在此之后介绍了求解偏微分方程数值解的两种无网格方法：无网格伽辽金方法和无网格局部Petrov-Galerkin方法。

An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations.

本文解非线性平衡方程式式的数值计算方法是基於牛顿－拉福森(Newton-Raphson)法配合弧长控制法的增量迭代法。

The scaled boundary finite-element method is a novel semi-analytical technique for solving the linear partial differential equation.

比例边界有限元法是线性偏微分方程的一种新的数值求解方法。

The problem of solving the linear matrix equation is one of the importantstudy fields of the numerical linear algebra.

线性矩阵方程的求解问题是数值代数的重要研究领域之一。

The linear sampling method for the inverse scattering problem of acoustic waves is based on the fact that: a linear integral equation of first kind-far field equation including a parameter has an unbounded solution as the parameter approaches the scattering boundary from inside.

本文在此基础上就Dirichlet边界条件的声波反散射问题，利用积分方程理论严格证明了线性抽样方法对其的可用性，具体数值例子表明该方法是有效的。

The propagation matrix method used widely in stratified media is extended to laterally inho-mogeneous media,and a numerical method known as generalized propagation matrix method for simulating elastic seismic wave propagation in inhomogeneous media is presented by using mixed variable elastic wave equation and matrix exponent solution of system of linear ordinary differential equations.

应用混合变量弹性动力学方程和线性常微分方程组的矩阵指数解法，将层状介质中广泛应用的弹性波传播矩阵解法推广至横向非均匀介质，给出了一种可计算复杂地质体中弹性波传播的广义传播矩阵数值解法。

The relationship between monetary awards and childrens honesty closely fitted a logarithmic equation.

钱币奖励的数值与儿童诚实行为人数的比率接近于对数方程模型。

The equation of induced magnetic field was set up to calculate the Lorentz force, and the modified k-ε turbulence model under magnetic force was used to measure the viscosity of turbulence.

分别建立诱导磁场方程求解洛伦兹力和磁场作用下的k-ε湍流模型求解湍流粘度，数值模拟了不同强度磁场作用下的磁控等离子体流动和传热特性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新