finite-element-analysis

最小二乘法的参数辨识研究。逐个的程序实现了最小二乘法算法以及实现的研究。(Least squares method of parameter identification studies. Procedures achieved by least squares algorithm and realize research.)

用LU和LDU分解求解方程组，给出了详细说明(The equations are solved by the decomposition of LU and LDU, and the detailed description is given.)

计算fft，输出频谱，相位，模值,Calculation of FFT, the output frequency, phase, amplitude,

牛顿插值法进行多项式逼近，matlab编译成功，直接可用(Newton interpolation polynomial approximation method, matlab compiled successfully, directly available)

A simple algorithms to calculate very big factorial, this program can calculate up to 30000!

14节点牛拉算法计算潮流程序，用于电力系统的潮流计算程序，可以直接用于潮流计算，也可以用于学习潮流计算的流程和方法。(For power flow calculation program, can be used directly flow calculation can also be used to study flow calculation processes and methods.)

Abaqus UMAT code 适用于平面应变，轴对称弹塑性本构关系，也适用于大应变情况，使用显示积分算法。(Abaqus UMAT code applies to plane strain, axisymmetric elastoplastic constitutive relation, also applicable to large strain, using the integration algorithm.)

程序包中含有Lagrange插值、Newton插值、Hermite插值、jacobi迭代、gauss迭代、 超松弛迭代、cholesky分解(Package contains Lagrange interpolation, Newton interpolation, Hermite interpolation, jacobi iteration, gauss iteration, ultra-relaxation iteration, cholesky decomposition)

本程序基于MATLAB,用于计算多层平板波导的导模的等效折射率(The program is based on MATLAB, the equivalent refractive index of the guided mode for calculation of multilayer slab waveguide)

说明：  解大规模线性方程组的预条件Gmres方法.系数矩阵可以非对称正定.(Solution of large-scale linear equations of the preconditioned GMRES method. Coefficient matrix can be non-symmetric positive definite.)