fangtei_V3.6

ABAQUS中各种不同本构的内聚力单元fortran用户子程序(ABAQUS in a variety of constitutive cohesive unit fortran user subroutines)

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)

ABAQUS 具有强大的非线性求解能力和便捷的子程序接口及二次开发功能(The commercial FEM software ABAQUS has both powerful capacity for numerically solving varied large-scale nonlinear problems in engineering practice and user-friendly possibility for extending material libraries to consider the given constitutive model of a specific material.)

常见的各类数值和字符算法，包括微积分、插值、矩阵、微分方程、方程组求解和字符串操作等，Fortran77版本，可直接用于各位自己的代码开发中(Most common algorithms, including numerical and char recipes, Fortran 77 version, can be used in your own program develpment directly)

说明：  灰色预测模型，对未来数据进行预测，同时还有误差检测(GM(1,1),Grey prediction model, which can forecast future data and detect errors at the same time)

说明：  用DFT 函数计算电压u, 电流i的基波(f1=50 Hz)的有效值和相位; 用FFT函数分别计算电压u和电流i 所包含的直流,基波和谐波的有效值和初相角; 可计算基波(f1=50 Hz)和各次谐波的功率p和功率因数con?.(The effective value and phase of fundamental wave (f1 = 50 Hz) of voltage U and current I are calculated by DFT function. The effective values and initial phase angles of DC, fundamental and harmonic waves contained in voltage U and current I are calculated by FFT function, respectively. The power P and power factor con of fundamental wave (f1 = 50 Hz) and harmonics can be calculated.)

小世界网络邻接矩阵生成代码，可以基于此来实现人际网路(Small-world network adjacency matrix generated code can be implemented based on this interpersonal network)

求解激波管问题等产生的偏微分方程组的各种数值算法。(Shock tube problem solving, such as partial differential equations arising from a variety of numerical algorithm.)

％ SSOR预处理的共轭梯度法求解方程Ax=b ％ 输入参数说明 ％ A 正定矩阵[n*n] ％ b 右边向量 ％ omega SSOR预处理参数(0--2) ％ Times 迭代次数 ％ errtol 给定误差终止条件 ％ ％输出参数 ％ NewX 方程Ax=b的x近似解 ％ avgerr 求解的当前平均绝对误差( SSOR preconditioning conjugate gradient method for solving equations Ax = b the input parameter descriptions A positive definite matrix [n* n] b right side vector omega SSOR preconditioning parameters (0- 2) Times iterations errtol termination of a given error condition NewX output parameter equation Ax = b of x approximate solution to solve the current avgerr average absolute error)

用于优化最小二乘支持向量机的Matlab程序代码，可直接实用。(Used to optimize the least squares support vector machine in Matlab code can be directly useful.)