数值方程

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。

The proposed constitutive relationships cover a wide range of temperature, strain rate and strain, thus can be used for numerical simulation of plastic working of MP159 alloy and as dynamic equation for determining the stable window of forging thermomechanical parameters by using dynamic material modeling .

所建立的本构关系适用范围大，可用于MP159合金塑性成形过程数值模拟以及采用DMM方法确定锻造热力参数稳定区的动力学方程。

After determining the control equation and defined problems for infiltration, redistribution and evaporation, implicit finite difference method was used for ponded infiltration, semi-infinite soil redistribution and semi-infinite evaporation. The calculated results agreed well with measured data.

9在确定了入渗、再分布及蒸发的控制方程及定解问题基础上，采用隐式差分格式对垂直一维积水入渗、半无限土体再分布及半无限土体蒸发进行了数值模拟，与计算结果对比表明，计算值与实测值比较符合。

In this paper,the diagonal Cartesian method simulating the complex boundary, together with thetreatment to wetting-drying dynamic variation of the boundary, is applied into thetwo-dimensional shallow-water flows and sediment transport mathematical modeling,and their governing equations are discretized and solved in diagonal Cartesiancoordinates.

本论文采用斜对角笛卡尔坐标方法对不规则的复杂边界进行模拟，重点处理好干湿动边界的变化，并在斜对角笛卡尔坐标系中进行二维浅水运动的水流泥沙基本控制方程的离散和数值计算求解。

The simulation instrument provide with diagrammatic emulation mode for numerical solutions of differential equation or design and research of dynamic characteristics in control system.

仿真仪为微分方程的数值求解或控制系统的设计反动态特性的研究提供了图示仿真仪器。

Consequently the diathermancy was strengthened, the effect of heat transfer was improved and the flow and combustion process in the boiler has become much better. First, in this thesis the burn characteristic of the rubbish and the process of combustion in the chain boiler has been studied. A series of mathematic model has been given. This thesis carefully introduced the principle and formula of the turbulent flow model、two-equation model、radiation model、dispersed phase model and standard wall function method. The software FLUENT has been applied to simulate the temperature、pressure、velocity and mass fraction of species in the boiler furnace and stokehole. The analysis and the comparison have been done. The calculation results indicate agreement with the fact and the studies both here and abroad.

首先，本文针对SZL10-1.25-MJ造纸垃圾焚烧锅炉，结合其燃料的特性，对垃圾的燃烧特性以及层燃炉中垃圾的焚烧过程进行分析；给出一套完整的垃圾锅炉炉内传热数学模型，并分别详细阐述了湍流流动模型、双方程模型、辐射传热模型、离散相模型及标准壁面函数的原理及计算公式；借助于Fluent软件平台对炉膛内的温度场、速度场、组分浓度场及炉膛出口的温度分布、速度分布、组分浓度分布等进行数值模拟，分别从定性和定量的角度与实际情况进行了比较，得到了较满意的结果；模拟结果与国内外的很多研究能较好符合。

The high - order difference method of wave equation has the advantages of high accuracy and small numerical dispersion.

波动方程高阶差分法具有精度高、数值频散小的优点。

The design method of virtual dynamic simulation instrument for numerical solutions of differential equation based on LabVIEW is proposed.

给出了基于LabVIEW的微分方程数值解虚拟动态仿真仪的设计方法。

Spectral method is one of important numerical method for solving differential equations.

谱方法是微分方程数值求解的重要方法之一。

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