光孤子传播过程 非线性薛定谔方程

说明：  非常好的地形改正程序，只需要有点位的经纬度，重力值和高程，内附例子和说明。(Program to compute terrain effects on gravimetric quantities.various modes of terrain effects may be computed)

重力频率域位场延拓。将观测面的位场数据（a20_mag.gtd）向上延拓3.3m，之后与已知的理论值（a53_mag.grd）进行比较，计算其均方误差；反之，将观测面的位场数据（a53_mag.grd）向下延拓3.3m，之后与已知的理论值（a20_mag.grd）进行比较，计算其均方误差。(gravity frequency field extend)

编写求取下述矩阵四叉树四进制M码和十进制码程序，并将运算结果返回。 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 4, 4, 5, 5, 1, 1, 1, 1, 4, 4, 5, 5, 6, 6, 7, 8,13,13,14,14, 6, 6, 9,10,13,13,14,14, 11,11,12,12,15,16,19,19, 11,11,12,12,17,18,19,19 (Prepared to strike the following matrix quadtree quaternary M code decimal code and procedures, and the operation result returned. 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 4, 4, 5, 5, 1, 1, 1, 1, 4, 4, 5, 5, 6, 6, 7, 8,13,13,14,14, 6, 6, 9,10,13,13,14,14, 11, 11, 12,12,15,16,19,19, 11,11,12,12,17,18,19,19)

计算方法中的复数运算(calculation method in the plural Operational)

说明：  数值分析第二版吕富同ppt 数值分析学习的参考资料(Numerical Analysis Reference materials for numerical analysis learning)

外点罚函数方法，可以用来求解约束优化问题，也可以用来被调用在智能算法中(Point outside the penalty function can be used for solving constrained optimization problems, can also be used in intelligent algorithm called)

The Polarized light Monte Carlo programs described here keep track of the status of polarization of light traveling through a scattering media.(polarized monte carlo)

惩罚函数法C语言相关程序 它将有约束最优化问题转化为求解无约束最优化问题：其中M为足够大的正数， 起"惩罚"作用， 称之为罚因子，F(x, M )称为罚函数。(Penalty Function Method C language-related program it would have constrained optimization problem is transformed into solving unconstrained optimization problem: where M is a sufficiently large positive number, from the " punishment" effect, called the penalty factor, F (x, M) called the penalty function.)

用欧几里得算法求两个自然数的最大公约数通过c语言实现(Using Euclidean Algorithms to Find the Maximum Common Number of Two Natural NumbersRealization by C Language)

说明：  通过MATLAB编程模拟理想弹塑性应力应变曲线(Simulating the stress-strain curve for perfect plasticity by MATLAB coding.)