数值积分

无航速具有自由液面的三维脉动源Green函数的数值积分方法

Numerical integration on Green source function with free water surface

对Wilson等数值积分法的一个改进

An Improvement to Numerical Integration Methods of Wilson and Others

本文提出一种在OOP（Object－orientedProgramming：面向对象程序设计）环境中采用数值积分和非线性方程组数值解的方法进行钢筋混凝土构件正截面极限承载力计算和配筋设计的计算机方法。

An object-oriented programming approach to conduct design of limit section strength of reinforced concrete members is presented in the paper .

广义Abel方程的Gauss数值积分法

Gauss numerical integration for solving the generalized Abel Equation

对于B啨zier曲面的面积求解，传统采用的是数值积分算法，但此算法较复杂，不易实现。

The traditional method of computing B é zier surface area is numerical value integral , but the arithmetic is too complex to implement .

采用变步长Gill数值积分方法，对系统的非线性运动微分方程组进行了求解。

Employing variable step size Gill integration method , the governed nonlinear differential equations are solved .

通过条带法的全截面数值积分对混凝土约束系数K进行分析与探讨，经过试算与分析配有圆钢管的钢骨混凝土柱的应力应变特征，提出核心混凝土极限公式和偏压柱承载力公式。

Concrete confined coefficient K by the numerical integral of whole section using strip method is put forward for the bearing capacity formula of eccentrically compressed SRC column . 4 .

用数值积分方法求解了在圆柱坐标中的横向多模菲涅尔（Fresnel）积分方程。

Fresnel integral equations of the transverse multimode are solved by the numerical integration method in the cylinder coordinate .

采用一种简单的数值积分动态建模方法建立了大惯性温度传感器的数学模型。MatLab实现神经网络的非线性对象动态建模

A model of temperature sensors with a great inertia is set up by means of a simple numerical integral method . NN Based Nonlinear Dynamic System Modeling by Using MatLab

用Melnikov函数的数值积分法估计混沌阈值

Estimate of Chaotic Threshold by Numerical Integral Method of Melnikov Function

以这些数值积分方法为数学工具，推导出了非线性估计子加权融合滤波器，本文中简称TNF。

With these numerical integration methods as mathematics tools , the new tracking algorithm , non-linear estimators weighted fusion filter , is developed , we call it TNF .

Riemann积分与Lebesgue积分之比较一般的积分以及线积分的数值积分。

Comparison Between Riemann Integral and Lebesgue Integral ; Numerical integration of ordinary integrals and line integrals .

将高通滤波、分段多项式拟合以及经验模态分解（Empiricalmodedecomposition）技术应用于消除数值积分的误差影响，并详细论述各种处理方法的优缺点。

Some corresponding improved methods are summarized . High-pass filter , piecewise polynomial fitting and empirical mode decomposition ( EMD ) are applied to eliminate the error effect of numerical integral and their corresponding merits and demerits are detailedly reviewed .

基于经典的Newmark响应分析算法，导出了关于结构受随机激励下非平稳响应分析的直接数值积分步骤。

Based on the Newmark formulas a direct integration procedure is developed for the nonstationary response analysis of structures subjected to random excitations .

采用打靶法并结合朗格-库塔（Runge-Kutta）数值积分对两种光纤布拉格光栅耦合器型上下话路滤波器的传输特性进行了详细的分析。

Utilizing the shooting method and Runge-Kutta numerical integral , two types of add-drop filter based on fiber-Bragg-grating ( FBG ) - coupler were investigated thoroughly .

在重心法解模糊化的过程中，通常需要使用Riemann和或者数值积分来近似计算定积分的值。

In the process of gravity method defuzzification , Riemann sum or numerical integration formulas are often used to approximate the value of the definite integral .

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。

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 .

对N体问题的数值积分中的Runge-Kutta-Fehlberg法（简称RKF法）、辛算法和厄米算法在N体问题中应用时引起的能量误差、半长径和偏心率的变化进行比较。

The Runge-Kutta-Fehlberg algorithm ( RKF ), the symplectic algorithm and the Hermite algorithm for N-body problems are studied with energies errors and semimajor axis and eccentricity .

解析延拓方法用于强烈振荡函数的数值积分正泛函延拓与Farkas引理

ANALYTICAL CONTINUATION METHOD FOR EVALUATING HIGHLY OSCILLATORY INTEGRALS Extension of Positive Functionals and Farkas Lemma

用数值积分方法分析了大间隙环流中同心Jeffcott转子系统的涡动模式。

The whirling mode of a concentric Jeffcott rotor immersed in large gap annular flow is studied by numerical integration methods .

表面激发对电子&固体相互作用的贡献是用总表面激发几率的数值积分而得到的，此即为表面激发参数（SEP）。

The contribution of surface excitation in electron-solid interactions is estimated via the numerical evaluation of total surface excitation probability , known as surface excitation parameter ( SEP ) .

由于气体力、摩擦力的非线性，使得整个压缩机系统成为复杂的非线性系统，本文通过Newmark数值积分法进行求解。

Dynamic model for its complete system is established and calculated by numeric method of Newmark integral calculus because gas force and friction force are nonlinear and complicated .

针对橡胶悬置刚度的非线性特点，提出了基于Newmark数值积分法的动力总成悬置系统位移计算方法。

According to the nonlinear characteristics of rubber suspension stiffness , Based on the Newmark numerical integral method , the displacement calculation in the powertrain mounting system is presented .

以声学和隔声理论为基础，以计算机数值积分计算为手段，结合实验室测量，着重分析了夹芯为聚苯乙烯泡沫的CS墙板的隔音性能，同时，讨论了影响CS墙板隔音效果的各种因素。

Based on the theories of sound insulation , the sound insulation performance of CS wall slab with foamed polystyrene is analyzed by the qualitative way as well as the quantitative way with the numerical integration of computer .

以数值积分法求解3自由度模型得到的微共振器动力学响应为参考标准，验证了非线性Galerkin方法与传统Galerkin方法相比具有较高的精度。

Let the micro-beam dynamic response got by numerical integration of model with three degrees of freedom as a reference standard , validated that nonlinear Galerkin method with higher accuracy compared to traditional Galerkin method .

提出了有限元方法和数值积分相结合获得多柔体系统集中参数模型的近似方法，并基于lagrange方程，对有根树型拓扑结构的多柔体系统进行建模。

This paper presents an approximate method of flexible multibody system lumped parameter model combined finite element with numerical integration . Based on Lagrange 's method , the flexible multibody dynamics model of rooted topological tree is built .

针对地球静止轨道卫星的特点，提出了一种自主定轨的新算法&积分滤波算法，即利用Kalman滤波进行动力学模型数值积分与GPS定轨的有效融合。

Considering the feathers of GEO satellite , a new algorithm of autonomous orbit determination of GEO satellite using GPS is proposed in this paper , which is integral and filtering . This algorithm integrates GPS with numerical integral of kinetic model by Kalman filtering .

通过与数值积分以及MonteCarlo仿真结果的比较表明：文中给出的表达式完全可以用来近似计算Rician衰落下的平均信道容量，且非常容易。

In comparison to the Monte Carlo and numerical integral , the simulation results show that the approximate value obtained by the formula in this paper is very accurate while it shows much lower complexity .

基于建立于一般线性动力系统上的Magnus数值积分方法，针对随时间而高频率振荡的二阶动力系统，给出了有效的修正Magnus数值积分算法。

Based on the Magnus integrator method established in linear dynamic systems , an efficiently improved modified Magnus integrator method is proposed for the second-order dynamic systems with time-dependent high frequencies .

由于分段多项式的Duhamel积分是有精确解，因而和一般的数值积分法相比，本方法不但具有较高的计算精度，而且大大减少了计算工作量。

Because the Duhamel integration of piecewise polynomial is exact , the proposed solution is more accurate and computationally effort saving than the traditional numerical integration schemes .