seidel

数值分析实验1.明确插值多项式和分段插值多项式各自的优缺点； 编程实现拉格朗日插值算法，分析实验结果体会高次插值产生的龙格现象；(Experiments of numerical analysis 1. Define the advantages and disadvantages of interpolation polynomials and piecewise interpolation polynomials. The Lagrange interpolation algorithm is programmed, and the Runge phenomenon produced by high-order interpolation is analyzed.)

动力缩聚后的结构刚度、质量矩阵，以及频率(Dynamic stiffness after condensation, mass matrix, and the frequency)

离散颗粒碰撞程序，包括颗粒的随机生成程序，颗粒搜索程序，颗粒碰撞程序。(Discrete particle collision procedures, including procedures for randomly generated particles, particles search process, particle collision process.)

FFT（Fast Fourier Transformation）是离散傅氏变换（DFT）的快速算法 [1] 。即为快速傅氏变换。它是根据离散傅氏变换的奇、偶、虚、实等特性，对离散傅立叶变换的算法进行改进获得的。(FFT (Fast Fourier Transform) is a fast algorithm of discrete Fourier Transform (DFT). That is fast Fourier transform. According to the odd, even, imaginary and real characteristics of discrete Fourier transform, the algorithm of discrete Fourier transform is improved.)

实现用fluent udf自定义k~e方程(Define the k~e equation by using fluent udf function.)

适用于ABAQUS的自定义材料子程序，适用于Johnson-Cook材料模型(Apply to custom material ABAQUS subroutine for Johnson-Cook material model)

FFT源代码 FFT源代码 FFT源代码(FFT source code FFT source code FFT source code)

abaqus interface xfem

说明：  共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一。 在各种优化算法中，共轭梯度法是非常重要的一种。其优点是所需存储量小，具有步收敛性，稳定性高，而且不需要任何外来参数。(Conjugate gradient method Gradient) is a method between the steepest descent method and Newton's method. It only uses the first derivative information, but overcomes the disadvantage of slow convergence of steepest descent method, and avoids the disadvantage of storing and calculating Hesse matrix and solving inverse of Newton's method. Conjugate gradient method is not only one of the most useful methods to solve large-scale linear equations, but also the most effective method to solve large-scale nonlinear optimization One of the algorithms of. Among all kinds of optimization algorithms, conjugate gradient method is very important. It has the advantages of small storage, step convergence, high stability and no external parameters.)

关于房屋贷款贷款的计算，包含本息、本金、一次性付款等贷款方式(Calculated on mortgage loans, including principal and interest, principal, and other one-time payment of loans)