FEM

为了提高三级倒立摆系统控制的响应速度和稳定性,在设计Mamdani 型模糊推理规则控制器控制倒立摆系统稳定的基础上, 设计了一种更有效率的基于Sugeno 型模糊推理规则的模糊神经网络控制器。该控制器使用BP 神经网络和最小二乘法的混 合算法进行参数训练,能够准确归纳输入输出量的模糊隶属度函数和模糊逻辑规则。通过与Mamdani 型控制器的仿真对比, 表明该Sugeno 型模糊神经网络控制器对三级倒立摆系统的控制具有良好的稳定性和快速性,以及较高的控制精度。(In order to improve the three-level control of inverted pendulum system response speed and stability, in the design of Mamdani-type fuzzy inference rules of the system controller to control the stability of inverted pendulum on the basis of a more efficient design based on Sugeno-type fuzzy inference rules of fuzzy neural network controller. The controller is the use of BP neural network and hybrid least squares training algorithm parameters can be accurately summed up the amount of input and output fuzzy membership function and fuzzy logic rules. Mamdani-type controller with a simulation comparison shows that the Sugeno-type fuzzy neural network controller for the three-tier control of inverted pendulum system with good stability and fast, as well as a higher control precision.)

可以用最小二乘法来提取趋势项。在MATLAB中可利用它的函数来计算(Least squares method can be used to extract the trend items. It can be used in MATLAB to calculate the function)

说明：  遗传算法反演程序源代码，主要反演瞬变电磁数据(Code for GA)

用matlab实现新的启发式算法—蝙蝠算法，用于生产优化问题(New heuristic- bat algorithm for the production optimization problem using matlab )

该程序用fortran90编写，时域有限差分（FDTD)中的近远场变换方法。解决了电磁波后向散射中的RCS计算(FORTRAN90 prepared with the program, finite difference time domain (FDTD) in the near field to far field transformation method. Resolved backscattering of electromagnetic waves in the RCS calculation)

自适应网格生成的文章，广泛的应用到有限元和无网格方法中(a nice paper of adaptive mesh generation)

无功功率补偿SVG，已经调试好了，可以用的(Reactive power compensation SVG, has been debugged, can be used.)

Dr. Liu 在《光滑粒子流体动力学--一种无网格方法》一书中提供的光滑粒子流体动力学（SPH）源程序，采用Fortran语言编写，用于计算可压缩流体力学问题。(Dr. Liu in the " Smooth Particle Hydrodynamics- a meshless method," a book provided by the smooth particle hydrodynamics (SPH) source code, using Fortran language, used to calculate the fluid flow problem.)

相场法材料计算的model C-pure对应的基础相场计算代码，初学者可取(The phase field calculation code corresponding to the model C-pure calculated by the phase field method material is suitable for beginners.)

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)