1) numericalintegration/analytic integration
数值积分/解析积分
2) analytical integral
解析积分
1.
A new analytical integral algorithm is proposed and applied to the evaluation of the nearly singular integrals in the Boundary Element Method for 2D anisotropic potential problems.
导出了一种解析积分算法,精确计算了二维各向异性位势问题边界元法中近边界点的几乎奇异积分。
2.
The analytical integral formulas and singular value decomposition were employed to treat the 2D potential inverse boundary condition determination problems of thin body.
针对二维薄体位势柯西边界条件识别反问题,提出了解析积分和奇异值分解联合正则化算法。
3.
A set of new direct and analytical integral formulas are deduced with integration by parts to evaluate the nearly singular integrals in the BEM of 2D orthotropic potential problems, where the nearly singular integrals are computed exactly over the linear elements, computed approximately over the quadratic element subdivided into several linear elements.
当内点离当前积分单元较远时,仍保持常规高斯数值积分模式;而当内点离其较近时,因常规高斯积分结果失效,则采用该解析积分取代高斯数值积分。
3) numerical solution of the elliptic integral
椭圆积分数值解
4) Numerical integration
数值积分
1.
Improving on the numerical integration formula with a mean point;
数值积分中点公式的改进
2.
An adaptive numerical integration and its program based on nodes calculation;
基于节点计算的自适应数值积分及其程序实现
3.
Comparison of GPS satellite orbit numerical integration with broadcast ephemeris and IGS precise ephemeris;
GPS卫星轨道数值积分与广播星历及IGS精密星历的比较
5) numerical integral
数值积分
1.
High precision numerical integral on free surface boundary of 3-D unsteady seepage problem;
三维非恒定渗流自由面边界积分项的高精度数值积分
2.
Based on filter algorithm to calculate apparent resistivity of tri-electrode arrangement when MN is close to zero,this paper presents a numerical integral method of computing DC resistivity as MN is not equal to zero.
在MN趋于零时滤波计算三极装置直流电测深视电阻率的基础上,采用数值积分方法,导出了MN不趋于零时的三极(对称四极)装置直流电阻率测深曲线的计算方法。
3.
Finally it calculated structural reliability using numerical integrals.
本文首先利用积分随机有限元得到结构功能函数的各阶矩,通过Gram-Charlier级数拟合得到结构功能函数的概率密度函数,最后利用数值积分计算出结构的可靠度。
6) numerical quadrature
数值积分
1.
A modified form of the third Green identity is obtained to deal with the calculation of solid angle and the ‘singularity’ in the numerical quadrature to get accurate result.
利用８结点等参元来逼近流域边界的几何形状和未知量，利用变形的边界积分方程和坐标变换技术有效地处理了在场点的立体角计算和数值积分中所谓的“奇异性”问题，得到足够精度的结果。
2.
In this paper,a new unconventional numerical quadrature with fewer node values is established based on a special nonconforming rectangular finite element.
利用一个特殊非协调矩形元导出了一个新的使用节点少而代数精度高的非常规数值积分公式。
3.
A new numerical quadrature technique, partition of unity quadrature (PUQ), for Galerkin meshless methods was presented.
数值积分是伽辽金无网格方法实施的一个重要环节,提出了一种适合于伽辽金无网格方法的单位分解积分技术· 该积分技术建立在有限覆盖和单位分解基础之上,不需要对积分区域进行分解,具有较高的积分精度· 并以无单元伽辽金方法为例,详细说明了基于单位分解积分的伽辽金无网格方法的实现过程· 这样,在近似函数建立和数值积分过程中都不需要进行网格划分,从而形成一种"真正的"无网格方法·
补充资料：冻结积分
冻结积分
frozen-in integral
冻结积分阶。功1一加加峡”.;。。po二eoocT二Ter-pa月] 理想导电介质极限情况下的磁场感应方程的积分，冻结积分的物理意义是，由于液体的运动，磁力线也随液体质点一起运动. 理想导电介质运动时，磁场强度H由下列方程描述: d「Hl「H_1__ 书-!-二二!=!二二~，V Iv， dt L p J Lp”]这里p是密度，v是介质的速度.描述磁力线线元dl变化的方程为 d.，，，，_、__ 件，dl=(dl，V)v. dt一矢量H和dl是共线的: 丝=常数·dl. P称为冻结积分(允石吮n一inin魄间)的下列方程成立: Hdl。H。 二二二二生=二二卫~dl， P Po这里下标“了系指初始时刻的参数值. 由冻结积分得出，穿过任何被液体质点周线所包围的面的磁通与时间无关.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条