Matrix

数值分析计算课程的部分习题答案，有matlab编程，希望对大家有用。(some small matlab codes .)

晶格波尔兹曼方法，D2Q9的Matlab程序.(Lattice Boltzmann method, D2Q9 procedures)

使用拉格朗日乘子法解约束优化问题，例子是最优化问题，有3个线性约束(Using the Lagrange multiplier method to solve the constrained optimization problem)

很详细的一维FDTD介绍，以及MATLAB程序说明(Very detailed one-dimensional FDTD presentation and description of the MATLAB program)

压缩包中包含五个CFD基础程序，其中MacCormack1DSolveRiemann.for是一维欧拉方程求解（黎曼问题），UpwindTVD_1D.for是一维可压粘性N-S方程求解，MAC-Chorin2D.for是利用MAC算法和Chorin压力迭代解法求解 二维不可压缩黏性平板间Poisuille流动问题，Lax-Webdroff2D.for是利用Lax-Webdroff差分格式求解二维平面激波反射问题，fvm_upwind_MAC_couette.for是以一阶迎风型离散格式和Chorin压力迭代求解couette二维流动问题。(CFD compression package contains five basic program, which is an Euler equation solving MacCormack1DSolveRiemann.for (Riemann problem), UpwindTVD_1D.for is one-dimensional compressible viscous NS equation solving, MAC-Chorin2D.for is the use of algorithms and MAC Chorin pressure iterative solution for solving the two-dimensional incompressible flow problems between viscous flat Poisuille, Lax-Webdroff2D.for using Lax-Webdroff difference scheme for solving the two-dimensional plane shock wave reflection problem, fvm_upwind_MAC_couette.for based on first order upwind scheme and Discrete Chorin pressure couette iterative solution of two-dimensional flows.)

说明：  用于计算非线性有限元分析的程序，该程序可以处理多种工况、多种类型单元组合结构问题。同时，还可以处理固定约束和指定位移的情况。(A program for nonlinear finite element analysis)

求数组最长递增子序列算法。输入一个数组，输出其最大递增子序列(Array for the longest increasing subsequence algorithm. An array of input and output its maximum incremental sequence)

roe格式对多种不同初始条件黎曼问题的计算。(the document solve the riemann problem with roe method.)

说明：  模拟光子在多层组织中传输的蒙特卡洛仿真，包括散射系数，吸收系数，光场分布等特性(Monte Carlo simulation of photon propagation in multilayer structure ,It includes scattering coefficient, absorption coefficient,light field distribution and so on.)

计算汉克尔函数，包括复数变量和任意阶数。对初学者很有帮助。(Calculate Hankel functions, including complex variable and arbitrary order. Useful for beginners.)