Counting-machine

基于经典的增广拉格朗日乘子法, 对求解一类带有特定结构（主要是针对凸规划）的非光滑等式约束优化问题, 我们提出、分析并测试了一个新算法. 在极小化增广拉格朗日函数的每一步迭代中, 该算法有效结合了带有非单调线性搜索的交替方向技术, 我们建立了算法的收敛性, 并用它来求解在带有全变差正则化的图像恢复问题.(Based on the classic augmented Lagrangian multiplier method, we propose, analyze and test an algorithm for solving a class of equality-constrained nonsmooth optimization problems (chiefly but not necessarily convex programs) with a particular structure. The algorithm effectively combines an alternating direction technique with a nonmonotone line search to minimize the augmented Lagrangian function at each iteration. We establish convergence for this algorithm, and apply it to solving problems in image reconstruction with total variation regularization.)

这是用于求解精确求解zoeppritz方程的程序，可用于AVO反演，合成地震记录等(This function computes the particle displacement reflection and transmission coefficients (the relative displacement amplitudes) for a solid-solid interface, a liquid-solid interface, a solid-liquid interface, and a liquid-liquid interface. The medium on each side of a given interface is perfectly elastic. The output is the value of the reflection or transmission coefficient, specified by the user at the incidence angle anginc (see input parameters). )

万有引力单目标优化算法，用于单目标线性规划问题(Universal gravitation single objective optimization algorithm is used for single target linear programming problem.)

压缩包中包含五个CFD基础程序，其中MacCormack1DSolveRiemann.for是一维欧拉方程求解（黎曼问题），UpwindTVD_1D.for是一维可压粘性N-S方程求解，MAC-Chorin2D.for是利用MAC算法和Chorin压力迭代解法求解 二维不可压缩黏性平板间Poisuille流动问题，Lax-Webdroff2D.for是利用Lax-Webdroff差分格式求解二维平面激波反射问题，fvm_upwind_MAC_couette.for是以一阶迎风型离散格式和Chorin压力迭代求解couette二维流动问题。(CFD compression package contains five basic program, which is an Euler equation solving MacCormack1DSolveRiemann.for (Riemann problem), UpwindTVD_1D.for is one-dimensional compressible viscous NS equation solving, MAC-Chorin2D.for is the use of algorithms and MAC Chorin pressure iterative solution for solving the two-dimensional incompressible flow problems between viscous flat Poisuille, Lax-Webdroff2D.for using Lax-Webdroff difference scheme for solving the two-dimensional plane shock wave reflection problem, fvm_upwind_MAC_couette.for based on first order upwind scheme and Discrete Chorin pressure couette iterative solution of two-dimensional flows.)

weno5求解sod激波管问题，是初学计算流编程时做作业的题目，供参考(sod shock problem solve by weno5 for reference)

最小二乘法拟合形如f(x)=(a+bx)/(1+cx)的函数（9.2.2(1))，并解决人口预测问题(9.2.2(2))(Least squares fit of the form f (x) = (a+bx)/(1+cx) function (9.2.2 (1)), and to solve the population prediction problem (9.2.2 (2)))

对一个微带天线使用FDTD方法进行计算和分析，得到该天线反射系数，远区辐射场等信息(Right a microstrip antenna to use the FDTD method carry on calculated and analyzed, get this antenna reflection coefficient, far Ou radiation field and other information)

复合材料破坏失效vumat子程序，使用hsshin准则判断失效，具有刚度缩减，(The VUMAT subroutine for failure of composite materials is judged by hsshin criterion, and stiffness is reduced.)

自适应网格生成的文章，广泛的应用到有限元和无网格方法中(a nice paper of adaptive mesh generation)

三种帧同步算法的MATLAB代码,具有良好的算法效果，可以使用，请大家下载(Three kinds of frame synchronization algorithm MATLAB code, a good algorithm results, you can use, please download)