使用了基于拓扑距离的方法进一步减少数值积分算法的计算量。
Method based on topological distance was used to further reduce computation.
对于面源范围内部的浓度，模式可以通过数值积分算法进行估算，所以用户可以输入任意小的距离。
Since the numerical integration algorithm can estimate concentrations within the area source, the user can enter any value for the minimum distance.
用特雷纳数值积分算法对所建立的模型进行模拟计算，并将模型的模拟计算结果与实际生产中获得的数据进行比较分析；
The Treanor numeric integral algorithm has been used to simulate the model, and the compare of the results with the yields data from real furnace of an ethylene plant has been made.
然后采用IFFT算法和自适应数值积分算法计算二维积分，得到了低音速、跨音速和超音速移动荷载作用下动力响应的数值结果。
Coupled IFFT algorithm and adaptive quadrature algorithm was employed to compute double integrals in the analytical solutions. All the subsonic, transonic and supersonic cases were computed.
借鉴成熟的姿态四元数积分的双速算法结构，设计了一个数值积分算法求解以上三个运动学方程，构建了基于对偶四元数的捷联惯性导航算法。
Borrowing the traditional two-speed approach originally developed in conventional attitude integration, we design one new numerical integration algorithm to solve the three kinematic equations.
在卫星的状态估计过程中应用推广的序列估计算法，借助数值积分方法积分状态向量和协方差矩阵。
For the estimation of satellite state, the extended sequential estimation algorithm was applied. The numerical method was used to integrate state vector and error covariance matrix.
精细积分法是求解常微分方程的一种成熟的数值算法。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
数值试验结果表明，MLPG方法是计算电磁场一种有效可靠的算法，计算结果优于一般高斯积分。
The numerical results show that MLPG method is efficient and reliable for electromagnetic field computation, and the given integral method is better than the usual Gauss integral.
本文对于矩形区域上某一内点为奇点的奇异积分的近似计算给出了优化中心数值算法，它在迭代计算过程中避免了函数值的重复计算。
This paper presents an optimum numerical algorithm of center rule for the approximate evaluation of singular integrals over rectangular domains with a inner singularity.
算法简单、快速，计算结果与数值积分结果相符，其基本思想完全适合于多机电力系统。
The algorithm is simple, and its calculating result is the same as the classical numerical algorithm. The general idea is also suitable for analyzing multimachine power-system stability.
本文提出了一类含积分的非线性方程的数值算法，并讨论了算法的收敛性。
In this paper, we introduce the numerical solution of nonlinear equation with a integration and discuss the convergence of algorithm.
简要介绍了多分辨分析，用其想法修改数值积分中的梯形法则及辛普森法则的算法，并给出了一些较好的数值结。
This paper briefly reviews the definition of multiresolution analysis and then applies it to modify trapezoidal rule and Simpson s rule for numerical integration .
用延续算法对该代数方程组进行求解，得到系统的周期解。系统周期解的初始值通过时域数值积分得到。
The system of nonlinear algebraic equations is solved by using the continuation method and its periodic solution is obtained.
针对制动之前较长时间的准备运行带来较大测量积累误差的缺点，采用向后数值积分的算法。
To solve the problem of growth in the error of long time of preparative running before braking, a backward algorithm is presented.
数值积分算例表明，该算法得到的积分值精度高，自适应强，是一种有效的数值积分方法，在数值计算和工程实际应用中具有一定的参考和应用价值。
Simulation examples of integral show the algorithm is a validated method with high precision and powerful self-adapting. The algorithm has value in numerical calculation and engineering practice.
数值计算结果证明，该算法可以快速计算通常意义下任意函数的定积分，并能计算振荡函数的积分。
Numerical experimental results prove that the algorithm can compute integral for any functions in the usual sense, and compute oscillation function integral.
介绍了钻柱系统动力学模型以及其数值算法，对直接积分法中的NEWMARK法和HHT法的计算过程进行了详细的阐述。
Describes drill string dynamics system models and numerical algorithms. And describes the details of NEWMARK method and HHT method.
在一元数值积分公式的基础上，提出了二重数值积分的复合公式，并给出复化复合公式和逐次减半的复合递推公式，通过实验比较了两种算法。
The article gives the reversible condition of a kind of jump Vandermonde matrix through linear equations, and recursion formula and the expression of its inverse Matrix.
在一元数值积分公式的基础上，提出了二重数值积分的复合公式，并给出复化复合公式和逐次减半的复合递推公式，通过实验比较了两种算法。
The article gives the reversible condition of a kind of jump Vandermonde matrix through linear equations, and recursion formula and the expression of its inverse Matrix.
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