G.格子Boltzmann方法的原理及应用

对于水轮机阀门开启、关闭的一瞬间，对于钢管有比较大的水击。该程序计算出了相对最大的水击压力。(For turbine valves opened, the closure of the moment, for a relatively large pipe water hammer. The program calculated the maximum relative pressure of water hammer.)

copula工具箱，可以进行copula计算，比自带的更加好用(copula toolbox)

把 Maxwell 方程式在时间和空间领域上进行差分化。利用蛙跳式(Leap frog algorithm)--空间领域内的电场和磁场进行交替计算，通过时间领域上更新来模仿电磁场的变化，达到数值计算的目的。(The Maxwell equations in time and space on the field differencing. Using the leapfrog (Leap frog algorithm)- Space field for alternating electric and magnetic fields calculated by the time domain electromagnetic field is updated to mimic the changes to achieve the purpose of numerical calculation.)

说明：  9跨每跨35米桥梁响应的车桥耦合程序，使用Fortran编写(9 of 35 meters span bridge across every bridge coupled response procedures, the use of Fortran written)

齐民友的重温微积分，通俗易懂的经典数学书籍。 (Naritami revisit the Friends of calculus, a classic user-friendly math book.)

java编写九九乘法表 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9 9*2=18 9*3=27 9*4=36 9*5=45 9*6=54 9*7=63 9*8=72 9*9=81 (Multiplication table 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9 9*2=18 9*3=27 9*4=36 9*5=45 9*6=54 9*7=63 9*8=72 9*9=81 )

％ SSOR预处理的共轭梯度法求解方程Ax=b ％ 输入参数说明 ％ A 正定矩阵[n*n] ％ b 右边向量 ％ omega SSOR预处理参数(0--2) ％ Times 迭代次数 ％ errtol 给定误差终止条件 ％ ％输出参数 ％ NewX 方程Ax=b的x近似解 ％ avgerr 求解的当前平均绝对误差( SSOR preconditioning conjugate gradient method for solving equations Ax = b the input parameter descriptions A positive definite matrix [n* n] b right side vector omega SSOR preconditioning parameters (0- 2) Times iterations errtol termination of a given error condition NewX output parameter equation Ax = b of x approximate solution to solve the current avgerr average absolute error)

说明：  短时傅里叶变换及短时傅里叶反变换的实现，简单可用(The realization of short-time Fourier transform and short-time Fourier inverse transform is simple and available)

相场法基础书籍的配套计算代码，对于学习相场法的基础同学来说极其有用(The supporting calculation code of the phase field basic book is extremely useful for the students who are studying the basic method of the phase field method.)

艾特金迭代法求解线性方程组源代码，在程序中修改方程就可以(Aitkin iterative method for solving linear equations source code, the equation can be modified in the program)