UMAT各页公式详解V2

无网格伽辽金法中用到的数值积分，此程序，提供多点高斯积分，可任意选择！(element-free Galerkin method used in the numerical integration of this process, provide more Gaussian integral, can be arbitrary choice.)

柔顺机构的拓扑优化设计的代码，考虑输入输出(Topology Optimization of Compliant Mechanisms designed code, consider the input and output)

计算分数阶微分方程lypunov指数，确定混沌系统的混沌状态。(Calculated fractional differential equations lypunov index to determine the chaotic state of the chaotic system.)

适合于稀薄流动计算的气体动力学格式源码，该源码为xukun老是JCP论文中的算例一致(UGKS1D- shock structure calculation using Unified Gas-Kinetic Scheme)

基于Matlab产生光纤陀螺随机噪声和信号，利用固定步长和可调步长的LMS自适应滤波、最小二乘法、滑动均值三种方法进行处理，最后用阿兰方差评价降噪效果。(FOG Based on Matlab generate random noise and signal, using a fixed step size and adjustable step size LMS adaptive filtering, least squares method, the sliding average of three methods for processing, and finally with Alan variance evaluation noise reduction.)

支持向量机作为统计学习理论的实现方法，能很好地解决非线性和高维数问题，克服了神经网络方法收敛慢、解不稳定、推广性差的缺点，近年来得到了广泛地研究，在模式识别、信号处理、控制、通讯等方面得到了广泛地应用。(Support Vector Machine as the implementation of statistical learning theory approach, can be a good solution to the nonlinear and high dimension problem, the neural network method to overcome the slow convergence, solution instability, bad promotion of sexual shortcomings, in recent years has been widely studied, at pattern recognition, signal processing, control, communications, etc. has been widely applied.)

有限元求解柏松方程。本文采用FORTRAN语言编制程序。程序中大部分变量采用有名公共区存储方式存储，这样可以减少内存占用量。 IFG：生成有限元网格信息，即元素节点局部编码与总体编码对照表，节点实际坐标，边界节点编码与边界点上的已知值 GKD：生成总刚一维存储对角元的地址，计算总刚一维存储长度 FIXP：设置已知节点函数值 GK(NI,NJ,ADJ,AIJ)：单元刚度矩阵计算 GF(NI,N,M,LE,YI,FE)：单元列阵的计算 AK(I,J,AIJ)：总刚度矩阵元素迭加 QEB：总刚度矩阵和总列阵合成 BDE：边界条件处理 SOLGS：Gauss-Seidel迭代法求解方程组 UDIFF(NI,NFLAG,UDIF,LE,ADJ)：标准元素内形状函数导数计算 DIFF：节点上 ， 加权平均 (In this program, FEM was used to solve the possion equation. It is implemented through FORTRAN)

贤哥的矩阵分析与应用习题解答，答案在手，前途永久。(Shane matrix analysis and application, the answer is in hand, the future permanent.)

有限差分法求解欧拉方程，weno有限差分法求解欧拉方程。(Euler solved with weno)

运用线性矩阵不等式(LMI)求解鲁棒优化问题。该LMI不等式求解代码，更具有一般性，结合matlab中help命令,能够方便的对新的LMI问题求解(This programme code is useful for the common optimization problem, combined with the description of matlab help statement, a new LMI problem can be easy to solve. )