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采用分段逐步计算，结合快速傅立叶变化，计算群速色散和自相位调制在光纤中对所传输的飞秒脉冲的影响。(Using split-step computation, combined with Fast Fourier Transform Algorithm, calculated the influence to transmission of the femtosecond pulse about the group velocity dispersion and the phase modulation in the fiber.)

牛顿迭代法求解非线性代数方程组的主要思想是将非线性函数线性化(Newton iteration method for solving nonlinear algebraic equations nonlinear function of the main idea is to linear)

用R做贝叶斯估计，估计随机微分方程中的参数(Bayesian estimation made by R, the parameter estimates stochastic differential equation)

LM3S例程系列，非常实用。 代码稍加修改即可使用。(LM3S routine series, very practical. The code is slightly modified can be used.)

FLUENT中离散相粒子追踪设置及相关计算，设计用户自定义相关内容(Discrete phase particle tracking in FLUENT)

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.)

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)

用于计算abaqus中土的状态。是子程序。(The state used to calculate the abaqus Turkey. Is the subroutine.)

frotran输入矩阵自编小程序，可以生成任意大小矩阵，并写入制定文件(frotran input matrix composing small program that can generate any size matrix, developed and written documents)

卡尔曼滤波程序，两变量滤波；正弦信号跟踪；卡尔曼差分到状态方程的转换；卡尔曼同滑动平均比较(Kalman filtering process, the two variable filter sinusoidal signal tracking Kalman differential equation of state of the conversion Kalman compared with moving average)