查询词典 numerical method

Some numerical examples are given to show that the numerical method presented is an approximation method with high efficiency and convergence.

数值计算表明本文数值方法是一种高效和收敛的近似方法。

Whereas analytical method and the before-mentioned numerical method have some places to improve and the determination characteristics of satellite of middle-low orbit, this paper presents a new numerical project of determination of obvious characteristics on condition that range of determination is not very long and the precision of determiantion is the meter grade, and is realized by a software.

鉴于分析法定轨和上述通常采用的数值法定轨都有各自可改进之处，本文针对一般中低轨卫星定轨的特点，在弧段不太长和定轨精度为米级的情况下，给出一种具有明显特点的数值定轨方案，且以软件具体实现了这种方案，并经受了实测资料的考验。

This method is based on the work of reference [1]. By using the Riesz present theory in Hilbert space, we first transform the iterative procedure of variational inequalities into a fixed point form. Then, using the Schauder fixed point theory, we construct a numerical verification method with high efficiency that through numerical computation generates a bounded, closed, convex set in which the approximate solution is included.

通过Hilbert空间中的Riesz表示定理，首先将变分不等式问题的迭代过程转化为一种不动点形式，再利用Schauder不动点定理构造了一个高效率的数值证明过程，即通过数值计算产生一个包含近似解的有界闭凸子集。

Order Hilbert ill-conditioned linear equations were solved, and the relative error was less than 0.45%. Numerical experiments verified that the method was efficient compared with the efficient methods used commonly nowadays. Numerical experiments results showed that the conjugate vector base method was suited for solving large-scale ill-conditioned linear equations with fast convergence and high precision.

通过对5000阶的Hilbert方程组进行求解，结果的相对误差小于0.45%，并与当前普遍使用有效的方法进行了比较，数值实验结果表明，该算法适合求解大型病态线性方程组，且具有快速收敛，精度较高的特性。

The finite element method and direct numerical integration method are used in the calculation. Through an engineering example, the numerical simulations of time-course response and axes contrail are respectively carried out when the units are acted under transient initial displacements and transient imbalance loads.

采取有限单元法和直接数值积分法相结合的方法，结合工程实例，对机组在瞬时初位移和瞬时不平衡载荷作用下的时程响应及轴心轨迹分别进行了计算机仿真计算，并对计算结果进行了分析和讨论。

Therefore, the following works was conducted: 1 Setting up different types combination failure model of ice sheet interaction with semi-breakwater, and considering different actual conditions of crushing, bending and bucking failure in the process of ice pileup when ice sheet acts on the semi-breakwater; 2 Applying analysis of non-continuous transmutation for the numerical simulation. This method is a new numerical analysis method of simulating mechanics response of dispersoid, it has a broad application prospect for the simulative questions of ice sheet moving, deforming, breaking and circumvolving after ice sheet occur pileup.

为此，具体进行： 1 建立冰排作用于半圆堤时的不同破坏类型的组合破坏模式，能够考虑到半圆型防波堤前海冰堆积过程中，由于水位的变化和堤前冰块堆积到一定程度在低水位时触底，冰排作用于半圆堤时可能会发生弯曲、挤压、压曲等不同类型的破坏的实际情形。

Chapter 5 to text the numerical method put forward carries on the numerical experiment, special two fractional differential equation problem within biologies carries on the test, the number result enunciation method is valid.

第五章对文中所提出的数值方法进行了数值试验，特别就计算生物学中的两个分数阶微分方程问题进行测试，数值结果表明方法是有效的。

Using Biot's 2D elastodynamic theory solves the saturated soil equation. The Fredholm integral equation of the second kind can be built by using the fundamental solution of circular load, the compatibility condition and superposition method. The Fredholm integral equation of the second kind of pile groups can be solved by using numerical method. The numerical solutions of pile groups axial forces, pore pressures under vertical harmonic loading and shear forces, moments and pore pressures under horizontal harmonic loading can be obtained.

采用Biot提出的三维波动原理，利用圆形简谐载荷作用下的Biot固结方程的基本解和桩土之间的变形协调条件，并采用叠加原理得到饱和土中群桩的第二类Fredholm积分方程，应用数值法求解群桩的第二类Fredholm积分方程，得到在垂直简谐载荷作用下群桩的轴力、孔压随桩身变化的数值结果以及在水平简谐载荷作用下群桩的剪力、弯矩和孔压随桩身变化的数值结果。

A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

摘 要 基于双曲型守恒律方程，对非结构三角形网格给出了一种ENO(Essentially Nonoscillatory Scheme)型有限体积格式，方法的主要思想是先对每一个三角形单元构造一个加权的二次插值多项式，而在计算交界面的流通量时采用了两点高斯积分公式以保证格式的整体精度，时间离散采用三阶TVD Runge-Kutta方法。

In this dissertation, based on the discussed history of numerical method of structure-born sound radiation, the boundary element integral equation is deduced, and then the numerical method of sound radiation, the theory of radiation modal and the sound radiation sensitivity analysis is discussed in details.

本文在分析了结构声辐射数值方法的历史及其现状的基础上，详细推导了结构声辐射的边界积分方程，对声辐射的数值计算方法、声辐射的模态理论以及声辐射的灵敏度分析作了深入详细的探讨。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。