Crank-Nicolson_

无网格法移动最小二乘近似（MLS）型函数计算子程序 (Meshless method moving least square approximation (MLS) type function calculation subroutine)

给出变量的上下边界、初值和代价函数，能够搜索代价函数最小值时的变量取值。属于带约束的优化算法，可以用来求算非线性方程组。(STRSCNE is a Matlab code for constrained nonlinear systems of equations F(x)=0 l<=x<=u where F: R^n--> R^n, l and u are vectors of dimension n. Non-existent lower and upper bounds, i.e. entries of l and u equal to minus o plus infinity, are allowed. The algorithm is a globally convergent procedure that combines Newton method and an elliptical trust-region approach. The elliptical trust-region is defined employing a scaling diagonal matrix D and the trust-region subproblem is approximately solved by the dogleg method. Only strictly feasible iterates are generated. Various input/output options are provided, and we refer to the code itself for further documentation. )

计算流体力学;高精度7阶二维weno格式;矢通量分裂方法(Vector flux splitting in 7 order two dimensional WENO scheme)

ABAQUS中用户材料子程序UMAT的开发主要解决两方面的问题：本构模型的建立和积分算法的选择。 本文主要研究非线性材料的UMAT实现方法，并重点研究其迭代算法部分，目前，用户材料子程序UMAT的迭代算法主要是常刚度法，常刚度法的优点在于算法原理较简单，程序编写较方便，缺点是当遇到复杂非线性材料时，其迭代次数较多，收敛速度也较慢，在这个情况下，本文采取的是一种迭代次数较少且收敛速度较快的切线刚度法，具体就是采用FORTRAN语言编制了基于Von-Mises模型的接口程序,并采用切线刚度算法，通过与ABAQUS自带本构关系计算的结果相比较，验证其正确性。(This paper studies the user subroutine UMAT of ABAQUS development methods, the use of FORTRAN language isotropic hardening material model of the interface program, studied the effects of such material is extremely elastic-plastic constitutive relation method. This article UMAT tightly around the secondary development of technology, the first principle of its interface detail, and then for the theory of nonlinear finite element incremental stiffness of the regular tangent stiffness method and the theory of algorithms to do an in-depth analysis of deduced a regular tangent stiffness and rigidity of the law of the specific expression of algorithm theory, and then the preparation of the two algorithms, respectively, of the UMAT program, and finally the establishment of a specific model checking, bringing with ABAQUS elasto-plastic constitutive relation of the calculated results compared to verify the correctness of the two.)

说明：  Umat Abaqus for plasticity

说明：  研究舍入误差的例程，可以帮助初学计算方法的人。(Of rounding error in the routine that can help beginners who calculation.)

一个基础贝叶斯变换的压缩感知，包含一个源代码和一个一维信号处理的例子和两个二维图像的例子(The basic BCS implemented via a variational Bayesian approach. The package includes the core VB-BCS code, one example of a 1-dimensional signal and two examples of 2-dimensional images.)

文件中包括了最优化中的最小费最大流程序以及例子和程序(File included in the most optimal maximum flow procedures and examples of trees and procedures)

计算CAPE（对流有效位能）的Fortran程序(Fortran program calculating CAPE)

说明：  运用数组，指针，通过最简单的c语言完成矩阵的转置计算。(Using array, pointer, through the simplest c language to complete the matrix transpose calculation)