numerical-method-of-noline

求解非线性方程组 的同伦曲线法(Solving nonlinear equations homotopy curve method)

频率响应函数计算程序,通过输入结构的响应数据，识别结构的模态参数，matlab(frequency response function，)

二层地质模型波场模拟,用有限差分进行波场的模拟,充分利用多波多分量地震记录，以及各向异性方面的独特信息，可有效地减少 纵波勘探的多解性，定量地描述裂缝储层，改善某些纵波资料成像不好地区的构造 成像。这样可获得比纵波分辨率高的多波剖面，从而有利于研究小幅度构造、断层、 裂缝裂隙等复杂地质现象，对油气勘探与开发具有现实意义和实用价值(Two-layer geological model wave field simulation, using finite difference wave field simulation to make full use of multi-wave multi-component seismic records, and the anisotropy of the unique information can be effective in reducing the P-wave exploration, multi-solution and quantitatively describe the crack reservoir to improve the poor image of some P-wave data area structure imaging. This availability of higher resolution than the longitudinal wave of multi-wave profile, thus contributing to the small amplitude structures, faults, cracks, fissures and other complex geological phenomena, for oil and gas exploration and development of practical significance and practical value)

经典非线性动力学模型，布鲁塞尔子模型，可直接运行，运算效率高。(nonlinear dynamics Brusselator model)

abaqus drucker-prager UMAT字程序(abaqus drucker-prager UMAT subroutine)

说明：  计算各种混沌系统李雅普洛夫指数的MATLAB 源程序。(calculating various chaotic system schematic index Lee MATLAB source.)

使用龙格-库塔间断Galerkin方法（RKDG）求解无粘流动Euler方程的程序，适用于计算流体力学RKDG方法的学习和研究。(Using the discontinuous Galerkin method (DG) for solving inviscid flow Euler equations procedures applicable to DG methods of study and research.)

说明：  ADAM （Adaptive Moment Estimation）是另外一种自适应学习率算法，它结合动量梯度 下降法，在不同参数方向上采用不同学习率，保留前几次迭代的梯度，能够很好 的适应于稀疏数据。(ADAM (Adaptive Moment Estimation) is another adaptive learning rate algorithm, which combines momentum gradient. The descent method, which uses different learning rates in different parameter directions and retains the gradients of previous iterations, is very good. It is suitable for sparse data.)

在图论中的floyed算法程序，可以算两点之间的最小距离(The floyed algorithm in graph theory)

基于模式耦合方法建立三维面波传播模型，该代码对于做波场模拟的同学很有用。(This program calculates the wavefield produced by a monochromatic surface wave mode incoming on a 3D cartesian structure. It is based on mode coupling and multiple scattering.)