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说明：  基于mises屈服准则的随动强化模型的umat子程序(Follow up reinforcement UMAT)

计算材料学中用相场法模拟合金凝固相变的程序(Computational Materials Science using phase-field simulation of solidification phase change process)

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)

hybrid particle swarm optimization

说明：  迭代算法中的多重网格计算程序Visual C++原代码(iterative algorithm of multiple grid computing procedures Visual C source code)

说明：  used to 计算p0点到直线p1p2的距离(p0 points used to calculate the straight-line distance p1p2)

利用五点差分格式和Jacobi迭代法，求解精确解和数值解的误差，判断阶数是否正确(Five-point difference scheme and Jacobi iteration method are used to solve the error between exact solution and numerical solution and to judge whether the order is correct or not.)

关于复数矩阵求导的一本经典书籍“Complex-valued_matrix_derivatives”的电子版(About the electronic version of the complex matrix derivation of a classic book " Complex-valued_matrix_derivatives" )

提供几种著名的大型线性方程组迭代算法，包括CG、PCG、Lanczos、MINRES(Several well-known large-scale linear equations iterative algorithm, including CG, PCG, Lanczos, MINRES)

用于解决投入产出问题的RAS算法，已知矩阵的行和和列和，可以求出矩阵的具体值。(For the RAS algorithm to solve the problem of input and output. We know the rows and columns of the matrix,then the specific value of the matrix can be calculated.)