UC1

计算材料学中用相场法模拟凝固相变以及晶粒长大的开源性程序(Computational Materials Science solidification using phase-field simulation of grain growth phase transitions and open-source program)

说明：  matlab常用算法程序集主要用于解决插值、函数逼近、矩阵特征值计算、数值微分、数值积分、方程求根、非线性方程组求解、解线性方程组的直接法、解线性方程组的迭代法、随机数生成、特殊函数计算、常微分方程的初值等问题(Mainly solve interpolation, function approximation, matrix eigenvalue calculation, numerical differentiation, numerical integration, equation roots, nonlinear equations solving, direct methods for solving linear equations, iterative methods for solving linear equations, random number generation, special functions Calculation, initial value of ordinary differential equations, etc.)

本程序可以实现在交错网格条件下的三维有限差分正演模拟(This procedure can be achieved under the conditions of the staggered grid finite difference forward modeling)

大地测量软件，可以计算大地水准面、重力异常、重力梯度等各种物理量(Geodesy software, coordinate transformation, geoid calculation)

光纤激光器速率方程 修改数值后可直接计算(The fiber lasers rate equation)

Fortran编的矩量法程序，是学习矩量法的入门程序。(Fortran compiled by the method of moments program)

共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一(Conjugate gradient method (Conjugate Gradient) is between the steepest descent method and Newton' s method between a method that takes only a first derivative information, but to overcome the slow convergence of the steepest descent method shortcomings, but also avoid the need to store Newton and computing the inverse Hesse matrix and disadvantages, conjugate gradient method is not only to solve large linear equations of the most useful methods, large-scale nonlinear optimization solution is the most efficient algorithms)

Evesen开发的scalarmodel，耦合了集合卡尔曼滤波算法和集合卡尔曼平滑算法(Scalarmodel coupled with Ensembled Kalman Filter and Ensembled Kalman Smoother)

利用不动点迭代和牛顿迭代求解非线性方程解的理论(Theory of Solving Nonlinear Equations by Fixed Point Iteration and Newton Iteration)

算法优化非常好，几乎没有循环，Relief计算分类权重，包括四元数的各种计算。( Algorithm optimization is very good, almost no circulation, Relief computing classification weight, Including quaternion various calculations.)