AREPS

用ABAQUS及其子程序解决热冲压热力耦合问题(Subroutine with ABAQUS and hot stamping coupled thermal problem solving)

Galileo单频定位程序，能基于rinex文件实现高精度定位，供编写时参考(Galileo single-frequency positioning program can achieve high-precision positioning based on RINEX file for reference when writing.)

fortran cases for BEM

实现有限域中乘法，输入二个普通二级制数，输出在本原多项式的乘法结果(Achieve limited multiplication field, enter the number of two-tier system of two ordinary output in primitive polynomial multiplication results)

说明：  布谷鸟多目标算法用来函数寻优，本代码给出了通用版本，能够很好的适应和学习(CS algorithm used to function optimization, this code gives a general version, can adapt and learn well)

求矩阵奇异分解svd算法，共计4种实现方式，(for SVD matrix decomposition algorithm, for a total of four kinds of achievement,)

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.)

相场法材料计算的modelc-alloy 对应的基础代码，自取基础有用(The basic code corresponding to modelc-alloy for phase field method material calculation, useful for self-extraction)

说明：  计算混沌系统的lyapunov指数和poincare截面(Calculation of chaotic systems lyapunov index and cross-section poincare)

最佳平方逼近数值分析算法程序，matalab编程运算(numerical analysis of best square approximation)