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************************************************************************ * * * * * THIS IS THE H Y P L A S 2.0 README FILE * * ----------------- * * * * HYPLAS is a finite element program for implicit small and large * * strain analisys of hyperelast
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判断微分方程是否为病态方程，分别用定步长、变步长和适合病态系统的数值积分方法对系统求解，并与解析解进行对比，分析每种方法的求解精度和速度。-To determine whether the pathological differential equations, were used to set step, variable step size and suitable for pathological system numerical method for solving the system
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自适应梯形公式，计算体形的各种公式，可变步长自动适应的。-Adaptive trapezoid formula to calculate body shape of the various formulas, automatic variable step size adaptation.
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用于求解二阶常微分方程的变步长多步积分法，适合飞行器轨道计算等领域。-Solving second order ordinary differential equations for the variable step-size multi-step integration method for calculating the fields of aircraft track.
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利用龙格库塔法（等步长，变步长）计算椭圆方程，双曲线方程，抛物线方程等。对各类微分方程进行数值计算。-The use of Runge-Kutta method (such as step, variable step size) calculated elliptic equations, hyperbolic equations, such as parabolic equation. Various types of differential equations for numerical
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龙格-库塔（Runge-Kutta）法是一种不同的处理，作为多级方法为人们所知。
它要求对于一个简单的校正计算多个 f 的值。
这里是变步长四阶龙格库塔法的c程序-Runge- Kutta [Runge-Kutta] method is a different treatment, as a multi-stage method for people to know.
It requires a simple correction for the calculation of
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在变步长求积过程中的三个加速公式，将粗糙的积分近似值迅速加工成精度较高的积分近似值的求积方法为龙为个求积算法。-Variable step size in order to plot the course of the three accelerated formula rough approximation of the points quickly processed into a high precision quadrature integral approximation method
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常用的一些算法例子，有二分法，牛顿法，变步长法，最小二乘法等-Some examples of commonly used algorithms, there is dichotomy, Newton method, variable step-size method, least squares, etc.
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本程序时用来求解常微分方程的Adams 变步长预估校正算法-The procedure used to solve ordinary differential equations of the variable step-size Adams predictor-corrector algorithm
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Variable step size LMS algorithm
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ADAMS VARIABLE STEP-SIZE PREDICTOR-CORRECTOR ALGORITHM的Mathematica代码，代码透明，适合修改成为自己的代码。-ADAMS VARIABLE STEP-SIZE PREDICTOR-CORRECTOR ALGORITHM of the Mathematica code, code transparency, suitable amendments into their own code.
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变步长四阶Runge-Kutta法解常微分方程组-Variable step size fourth order Runge-Kutta method for solving ordinary differential equations
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其中一个是是变步长复化梯形公式例程，该程序是用变步长复化梯形公式计算定积分的C语言程序。另一个是1.1.2 变步长复化抛物线公式例程，该程序是用变步长复化抛物线公式计算定积分的C语言程序。-One is the variable step size compound trapezoid formula routines, the program is the variable step size compound trapezoid formula to calculate definite i
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变步长梯形公式计算和变步长Simpson公式计算，可以在代码中定义函数-Calculate the variable step trapezoidal formula and variable step size Simpson formula, you can define a function in your code
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变步长高斯勒让德方法计算定积分模块
1. 变步长方法函数
! 2. 复合高斯勒让德积分函数
! 2. 单区间5点高斯勒让德积分函数
! 3. 要计算的函数-Gauss Legendre variable step length method calculating definite integral module
1. The variable step size method function
!2. Composite gauss Legendre integral
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用C++编写的一个用变步长梯形法来求积分的程序-Written in c++ ,a variable step size trapezoid method to integrate the process.
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C++编写变步长梯形算法，以求得数学公式的定积分-variable step-size trapezoidal quadrature formula
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