多维随机数的生成方法

针对传统的算法如遗传算法、粒子群算法等在TSP问题上求解精确性和求解规模上都还有一定的不足，本文提出了一种基于动态规划思想的粒子群优化算法。该算法用动态规划的方法实现粒子间的信息交互和粒子的进化，并且将粒子群中的粒子按无标度信息指导网络拓扑图的方式进行连接。仿真结果表明该方法能有效地减小误差率，提高解的精确，同时还保持了较低的计算复杂度，具有良好的稳健性。(TSP problem solving for the traditional algorithms such as genetic algorithms, particle swarm optimization accuracy and solving the scale, there is a certain lack of a dynamic programming algorithm-based particle swarm optimization algorithm. The algorithm using dynamic programming method to achieve the evolution of information exchange between the particles and the particles, and particle swarm particle scale-free information guide network topology map to connect. The simulation results show that this method can effectively reduce the error rate and improve the solution precision, while maintaining a low computational complexity, good soundness.)

关于simple算法，希望站长能够让小弟加入这个学习的行列。(on simple algorithms, hoping to let the younger station to join the ranks of the study.)

说明：  谐波傅里叶分解，旨在把复杂多变的曲线方程分解成各次规律的正弦波(Harmonic Fourier Decomposition)

重力勘探多次滑动平均方法。给出地址参数，建立网格模型，按网格进行滑动平均。得到平滑后的重力数据。可以去噪。(gravity window moving iteration)

thermal damage abaqus-umat subroutine

电磁场数值计算中的差分法在matlab中的实现(The realization of difference method in numerical calculation of electromagnetic field in matlab)

首先根据高斯白噪声频率充满整个频带的特性，通过双树复小波包变换对高斯白噪声进行分解，利用频带能量泄漏的定量分析方法，验证了双树复小波包变换具有较低的频带能量泄漏特性；其次利用双树复小波包变换逐层分解信号，对每层分解所得分量求其FFT谱的峭度，得到基于双树复小波包变换的谱峭度图，根据图中峭度最大的原则，可以自动准确的选择信号分解最佳层数和最佳分量；最后将基于双树复小波包变换的谱峭度图的故障诊断方法应用于实际工程中，对齿轮故障振动信号进行分析，选择最佳分解层数和分量后利用希尔伯特包络解调，有效准确地提取了故障特征信息，验证了方法的可行性和有效性(The parameters of a filter were determined by experience, and that has a great influence on the results of signal processing. The discrete wavelet packet transform has a larger energy leakage of frequency band, which obviously affected the results of the envelope demodulation. It is necessary to have a method with a lower energy leakage of the frequency band before envelope demodulation. The dual tree complex wavelet packet transform (DT-CWPT) was a new signal processing method that had many good qualities. Because the energy leakage of the frequency band was smaller when the signal was decomposed by a dual tree complex wavelet packet transform, the dual tree complex wavelet packet transform was used to extract the fault feature information in the field of fault diagnosis. In this paper, first, according to the characteristics of Gaussian white noise, whose frequency was full of the whole frequency band, Gaussian white noise was decomposed by a dual-tree complex wavel)

严格的衍射积分计算，实现光栅结构透过反射场2维分布的严格解计算，利用散射积分对耦合模方程进行严格计算解 衍射，光栅，场，二维，积分，散射矩阵，耦合模理论(Strict calculation of the diffraction integral, the grating structure is realized through the rigorous solution of the 2 dimensional distribution of the reflection field. Diffraction, grating, field, two-dimensional, integral, scattering matrix, coupled mode theory)

UMAT in ABAQUS for Mazar s model of concrete damage

相变UDF，包括质量传递和热量传递，能够进行气液相变的模拟(Phase transition UDF, including mass transfer and heat transfer, gas-liquid phase transition can be simulated)