数值算法

In the chapter7 and 8, the numerical algorithm for the variable delay differential algebraic system is studied.

在第七、八章，本文就变延迟微分代数系统的数值算法展开了研究。

In this thesis, we discuss some algorithms for giving the zeros of maximal monotone operator in a Hilbert space and the alternating direction method for the variational inequalities.

本论文主要讨论了求解Hilbert空间上极大单调算子的零点的数值算法以及有限维空间上的变分不等式的交替方向方法。

Due to the unavailability of explicit solution in this case, we present an approximate solution and a numerical algorithm.

最后，我们运用上述的模型框架和数值算法分析了中国居民的高储蓄问题。

The structrual characterizations of symmetric arrowhead matrices are discussed and the general expressions of solutions are obtained.

并且还讨论了相应的最佳逼近问题，给出了最佳逼近解的表达式及求解的数值算法和算例。

The barycentric Lagrange interpolation collocation method for solving initial value problems of differential equation is introduced.

本文首先分析了重心Lagrange插值的基本性质，给出了采用重心Lagrange插值逼近任意连续函数的数值算法。

It can be said that wavelet-based numerical method of wave equation is very potential.

可以说，基于小波的波动方程数值算法是一个非常有潜力的算法。

Numerical algorithm and analysis of Romeo and Juliet Solutions to the maze compared to the classical algorithm.

数值算法与分析中的罗密欧与朱丽叶的迷宫问题解法，比较经典的算法。

The feasibility of the sequential scheme based on the exact analytical solution and the Runge－Kutta method for systems of ordinary differential equations were examined.

分析了基于精确解析解的顺序求解数值算法、基于Runge－Kutta的方程组求解算法的可行性。

And the sufficient and necessary conditions are obtained and the uniqueness of T is discussed and an algorithm for solving the inverse problem is provided. The other kind of structure inverse eigenvalue problem is for unitary Hessenberg matrices with positive subdiagonal elements. That is, a unitary Hessenberg matrices with positive sub-diagonal elements can be constructed when its eigenvalues and the eigenvalues of H_(11) and H_(22) are known. Here H_(11) and H_(22) are rank-one modifications of k × k leading principal submatrix of H and of its × remain submatrix respectively. In the end, the uniqueness of H and an algorithm is obtained.

文中首先讨论了这三组特征值之间的交错关系，接着确定了该逆问题有解的充要条件，并论证了其解的唯一性问题，最后给出了相应的数值算法；本文第二个问题解决的是一类不可约的酉Hessenberg阵的逆特征值问题：即一个不可约的酉Hessenberg阵可以由它的特征值、它的前k阶秩一修正的顺序主子阵的特征值以及它的后n—k阶余子阵的秩一修正阵的特征值来确定，文中最后讨论了唯一性和相应的算法。

The fast multipole method and the multilevel fast multipole algorithm are new efficient methods for analysis problems of electrically large objects.

快速多极子方法和多层快速多极算法是研究电大尺寸目标问题的新型的快速高效数值算法。

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。