zernike

UMAT in ABAQUS for Mazar s model of concrete damage

对病态系统采用了四阶龙格库塔法和蛙跳法进行了仿真，得到了很好的实验结果(Pathological systems using fourth-order Runge-Kutta method and the leapfrog method for the simulation, the experimental results)

代码为偏最小二乘法计算过程的代码，主要部分都有中文解释(Code for the calculation process of partial least squares method)

这个是计算声传播的各种模型 包括简正波kraken波数积分scooter等模型 有很好的学习价值 (a system program for acoustic propagation calculation)

说明：  利用四阶龙格库塔求解微分方程，并给出方程实例。(The fourth order Runge Kutta is used to solve the differential equation and an example is given.)

非负矩阵分解的最经典算法，1999发表在自然科学杂志上的那一篇文章的代码(classic Nonnegative matrix factorization)

3-D 目标MoM源代码 可以求解球体，旋转体等目标的电磁散射问题(MoM )

说明：  fluent中udf的实例 计算曳力的例程 可以作为参考以及udf帮助手册(The example of UDF in fluent can be used as a reference to calculate the traction)

《数值分析方法库 》本书选材内容丰富，包括了当代科学计算过程中涉及的大量内容：求特殊函数值、随机数、排序、最优化、快速傅里叶变换、谱分析、小波变换、统计描述和数据建模、偏微分议程数值解、若乾编码算法和任意精度计算等。本书科学性和实用性统一，不仅对每种算法进行了数学分析和比较，而且根据作者经验对算法给出了评论和建议，并在此基础上提供了用C++语言编写的实用程序。(《Numerical Recipes in C: The Art of Scientific Computing》, The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, the new edition remains the most practical, comprehensive handbook of scientific computing available today.)

求人体信号的一个周期序列的CZT和FFT计算结果比较。是很好的程序，可以直观的看到效果。(Order to signal a cycle of the human sequence comparison CZT and FFT calculations. Is a very good program, you can see the visual effect. The body s signals.)