sod-problem-by-MacCormack

说明：  Copula and tail dependence

Orthogonal Polynomials Approximation 数值分析，计算正交基多项式的系数 (Given a function f and a set of m >0 distinct points . You are supposed to write a function to approximate f by an orthogonal polynomial using the exact function values at the given m points with a weight assigned to each point . The total error must be no larger than a given tolerance. Format of function int OPA( double (*f)(double t), int m, double x[], double w[], double c[], double*eps ) where the function pointer double (*f)(double t) defines the function f int m is the number of points double x[] contains points double w[] contains the values of a weight function at the given points x[] double c[] contains the coefficients of the approximation polynomial double*eps is passed into the function as the tolerance for the error, and is supposed to be returned as the value of error. The function OPA is supposed to return the degree of the approximation polynomial. Note: a constant Max_n is defined so that if the total error is still not small enough when n = Ma)

高超声速飞行器上升轨迹优化计算。采用勒让德伪谱法直接优化方法。(trajectory optimization of hypersonic craft program with legendre method)

该代码完成了LM算法，并附有详细的代码说明。(The code completion LM algorithm, along with a detailed code instructions.)

用切比雪夫多项式逼近已知函数 用勒让德多项式逼近已知函数 用帕德形式的有理分式逼近已知函数 用列梅兹算法确定函数的最佳一致逼近多项式 求已知函数的最佳平方逼近多项式 用傅立叶级数逼近已知的连续周期函数 离散周期数据点的傅立叶逼近 用自适应分段线性法逼近已知函数 用自适应样条逼近（第一类）已知函数 离散试验数据点的多项式曲线拟合 离散试验数据点的线性最小二乘拟合 离散试验数据点的正交多项式最小二乘拟合 (By using Chebyshev polynomial approximation of the known functionApproximation of the known functions by Legendre polynomialsApproximation by rational fraction of known function in the form of PadmaTo determine the best uniform function polynomial approximation with the Lemez algorithmThe best known polynomial square for function approximationContinuous periodic function with Fourier series approximation of the knownApproximation of discrete data points in the Fu Liye cycleApproximation of the known function with adaptive piecewise linear methodAdaptive spline approximation ( first class ) known functionPolynomial curve fitting of discrete data pointsLinear least squares fitting of discrete data pointsOrthogonal polynomial least squares fitting of discrete data points)

用牛顿法，共轭梯度法，最速下降法完成矩阵的计算(Newton conjugate gradient method)

纤维状多孔材料的D_B吸声模型，用于计算高孔隙率的刚性多孔材料的吸声系数(D_B absorption model fibrous porous material for sound absorption coefficient high porosity rigid porous material)

计算电磁学有限元法全美经典教材，金建铭编著英文版(FEM computational electromagnetics American classic textbook, Jin Jianming edited English)

确定近似最优正则化参数，很好的解决不适用问题(To determine the approximate optimal regularization parameter, it is very good to solve the problem.)

这是一个matlab程序，包括了面波频散计算，及最小二乘反演的导数计算内容。(This is a matlab procedures, including a surface wave dispersion calculation, and calculation of the derivative of least squares inversion content.)