NSGA2-MOPSO

国外比较好用的高斯-厄米特数值积分源代码(the code of gauss-hermite )

进行PQ分解，计算电力系统潮流的有效方法，应用广泛(PQ decomposition is an effective method for calculating power flow in power system.)

一篇关于qkf文献, 量测方程四元素线性推导过程。 (A Novel Quaternion Kalman Filter)

本算法是基于数值计算中的SQP编写的MATLAB程序。非常实用的一个小程序。(This algorithm is based on the numerical calculation of SQP written MATLAB program. Very practical one small program.)

★问题描述: 给出平面上的N 个二维点，求出距离最小的2 个点对。本题中距离定义为他们的直 线距离。例如(0,0) (3,4)的距离为5. ★数据输入： 有多组数据，对于每组数据，第一行是一个数字N 表示点的个数。N=0 的时候说明 输入结束。之后N 行，每行有2 个浮点数x_i,y_i 表示第i 个点的坐标。(1<=N<=10000 0,0<=|x_i|,|y_i|<=10^9) ★结果输出: 输出一个浮点数，表示最近点对的距离除以2，保留2 位小数(四舍五入)。

计算电磁学有限元法全美经典教材，金建铭编著英文版(FEM computational electromagnetics American classic textbook, Jin Jianming edited English)

预处理CG算法，在进行共轭梯度法之前先对系数矩阵进行预处理，再进行迭代(pretreatment congruent gradient)

ABAQUS中用户材料子程序UMAT的开发主要解决两方面的问题：本构模型的建立和积分算法的选择。 本文主要研究非线性材料的UMAT实现方法，并重点研究其迭代算法部分，目前，用户材料子程序UMAT的迭代算法主要是常刚度法，常刚度法的优点在于算法原理较简单，程序编写较方便，缺点是当遇到复杂非线性材料时，其迭代次数较多，收敛速度也较慢，在这个情况下，本文采取的是一种迭代次数较少且收敛速度较快的切线刚度法，具体就是采用FORTRAN语言编制了基于Von-Mises模型的接口程序,并采用切线刚度算法，通过与ABAQUS自带本构关系计算的结果相比较，验证其正确性。(This paper studies the user subroutine UMAT of ABAQUS development methods, the use of FORTRAN language isotropic hardening material model of the interface program, studied the effects of such material is extremely elastic-plastic constitutive relation method. This article UMAT tightly around the secondary development of technology, the first principle of its interface detail, and then for the theory of nonlinear finite element incremental stiffness of the regular tangent stiffness method and the theory of algorithms to do an in-depth analysis of deduced a regular tangent stiffness and rigidity of the law of the specific expression of algorithm theory, and then the preparation of the two algorithms, respectively, of the UMAT program, and finally the establishment of a specific model checking, bringing with ABAQUS elasto-plastic constitutive relation of the calculated results compared to verify the correctness of the two.)

sorting different kind of arrays

SOLA-VOF program solving Navier-Stokes equation with free surface by volume of fluid method