aboat-shuzhi-fenxi

The only information passed from difeq to solvde is the matrix of derivatives

世界上开源的速度最快的FFT变换程序FFTW的说明文档，搜集了好久才找到，都是中文的，有助于对FFTW的使用。(Open source in the world s fastest FFTW FFT transform program documentation, gathered for a long time to find, are all in Chinese, help to the use of FFTW.)

简单的平面有限元程序，采用三结点三角形单元；采用等带宽存贮技术；采用高斯消元法解线性方程组。(Simple plane finite element program, using three node triangular element use of such bandwidth, storage technology using Gauss elimination method to solve linear equations.)

经验正交函数分析FORTRAN程序，用于变量场的时空结构分离（配套书籍《现代气候统计诊断与预测技术》）。(empirical orthogonal function, FORTRAN procedure, used to separate the spatio-temporal structure of climate variables.)

说明：  三角网格以及矩形网格剖分. 实现等参单元以及误差L H 范数收敛阶估计.(Triangular meshes and rectangular meshes are subdivided to achieve convergence order estimation of error L H norm.)

多元非线性回归——岭回归方法，比常规的最小二乘更适合数据量较大的优化问题(Multiple nonlinear regression- ridge regression method is more suitable than the conventional least squares optimization problem of the large amount of data)

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.)

完成不带PML边界的2维声波介质波场正演(Forward modelling of the wave field in two-dimensional acoustic medium)

确定近似最优正则化参数，很好的解决不适用问题(To determine the approximate optimal regularization parameter, it is very good to solve the problem.)

由美国SANDIA实验室一名研究员编写的用于计算半导体量子纳米线的一系列matlab文件。(SANDIA laboratory by the American researcher prepared a semiconductor quantum nanowire used to calculate a series of matlab file.)