liftingnodeform

说明：  实现快速离散傅里叶变换，即FFT,很有用的程序(Fast discrete Fourier transform, namely, FFT, very useful program)

这是一个对时间序列进行短时傅立叶变换的源程序,测试过,好用的.(This is a program for STFT,which had tested.)

再生混凝土细观损伤分析程序，采用随机骨料模型与双折线模型。(Recycled concrete meso-damage analysis procedures, using random aggregate model with two-line model.)

利用龙格库塔法（等步长，变步长）计算椭圆方程，双曲线方程，抛物线方程等。对各类微分方程进行数值计算。(The use of Runge-Kutta method (such as step, variable step size) calculated elliptic equations, hyperbolic equations, such as parabolic equation. Various types of differential equations for numerical calculation.)

王勖成《有限单元法》里面的教学源程序,PROGRAM OF PLANE PROBLEM 96.1(Wang Aimin, "Finite Element Method," in which the source of teaching, PROGRAM OF PLANE PROBLEM 96.1)

多目标遗传算法求解多目标优化问题的实际例子，运用matlab编写(Multi-objective Genetic Algorithm for multi-objective optimization problem actual examples, the use of Matlab prepared)

数学中的通径分析问题，主要用于数学实验方面，计算数学中的数据分析(Path analysis of mathematical problems in)

说明：  此程序为分段最小二乘算法曲线拟合,可对一模型进行分段拟合,增加准确性和精确度.(This program is sub-least-squares curve fitting algorithm can be fitted to a sub-model to increase the accuracy and precision.)

说明：  有用的软件，用于高阶统计量计算。代码完整，计算效率高。(useful software for high-end statistical calculation. Code integrity, high computational efficiency.)

《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.)