查询词典 numerical algorithm

Experimental results in TiGems7.0 illustrate that this algorithm is independent of the numerical error accumulated in intersection computation, and can implement the data exchange of IGES B-rep model built by different CAD systems such as SolidWorks and Pro/E.

在TiGems7.0系统中的实验结果表明，该算法不依赖于求交运算中造成的数值误差，具有较好的鲁棒性，能够实现IGES的边界表示格式在SolidWorks，Pro/E等系统中的数据交换功能。

A novel direction of arrival and polarization estimation of electromagnetic vector sensors mounted on the airframe is proposed based on biquaternion. The signal processing model for EM-sensor mounted on the airframe is made by biquaternion and then the eigenvalue decomposition of spectral matrix is obtained by means of the EVD of its quaternion adjoint matrix. The memory requirement for data is reduced, and more accurate estimation result is gotten by deducing the stronger orthogonality constraint between the sin- gal and noise subspaces on the field of biquaternion. The performance of the new algorithm is confirmed through numerical examples.

针对机载电磁矢量传感器阵列DOA和极化参数估计问题，提出了一种基于复四元数估计方法，该算法利用四元数建立机载电磁矢量传感器阵列信号处理模型，然后利用四元数联合矩阵的特征分解得到阵列数据相关矩阵的特征分解，一方面使得计算过程中数据的贮存量大大减少，另一方面通过推导得到信号子空间和噪声子空间在四元数域上的正交性从而使DOA和极化参数佑计的精度更高，仿真证实了本算法的有效性。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

Compared with traditional numerical methods, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has many advantages in the respect of parallel computation because of its regional evolution.

与传统的计算方法相比较，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

Compared with traditional numerical methods such as the FEM, FDM, etc, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has much advantage in the respect of parallel computation because of its regional evolution.

与传统的计算方法如FEM、FDM等相比，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

By considering the trait of the artery and anabranch of the Three-Gorges reservoir and analyzing the environmental elements influencing the growth of the algae, we improved on thenutrition dynamic model of the algae"s growth, carried on computer numerical value simulating on the evolvement process of the eutrophication of the Wujiang River, the Hanjiang River and the Three Gorges reservoir by cell mapping algorithm and revealed the dynamics action and mutation forms in the process of the valleys" algae blooms and the relationship between the major elements influencing the algaes growth and the model surge function.

本文结合三峡水库干、支流水体环境特点，通过对影响流域水体藻类生长的环境因素进行分析，改进藻类生长营养动力学模型，并利用胞映射算法对乌江、汉江和库区流域富营养化演化性态进行了计算机数值模拟和仿真分析，揭示流域水华发生过程的动力学行为、混沌性态和流域水质中主要藻类生长控制因子与模型振荡函数间的关系。

The approaches of semi-quantitative simulation include Q2 algorithm, Q3 algorithm, self-explanation simulation, fuzzy qualitative simulation, numerical interval simulation and other techniques for the improvement of semi-quantitative simulation.

半定量仿真方法主要包括：Q2、Q3、自解释仿真、模糊定性仿真、数字区间仿真以及几种半定量仿真算法的改进。

Furthermore, the relationship between the residual norm of the semi-refined approximate eigenpair and that of the approximate refined eigenpair is discussed. The semi-refined biorthogonalization Lanczos algorithm is given. We carry on some numerical experiments, and the results show that the new algorithm is more efficient than its conventional counterpart.

根据精化投影方法的思想，提出了半精化双正交Lanczos方法，建立了半精化特征对和精化特征对对应的残量范数之间的关系，给出了半精化双正交Lanczos算法，数值实验表明，该算法比双正交Lanczos算法和拟精化双正交Lanczos算法优越。

In order to avoid algorithm stiff numerical problem, a quaternions attitude algorithm was introduced.

用欧拉角信号控制舵偏会引发两个问题：第一，垂直状态时欧拉角

In the numerical method has many extrapolation algorithms, the Romberg squaring algorithm is one kind of commonly used extrapolation algorithm, it is one kind of sector divides in half the accelerating convergence method gradually.

数值方法中有许多外推算法，龙贝格求积算法是一种常用的外推算法，它是一种区间逐次分半的加速收敛方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。