The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分運算欧美性爱第8页，將一階非線性微分方程所描述的反射圖方程轉(zhuǎn)化為關于未知表面高度的代數(shù)方程，再由反射圖方程和圖像梯度信息構造目標方程干处女视频，進而用Newton迭代算法求出該方程的數(shù)值解综合区图片区视频区亚小说区，得到表面三維形狀。

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把連續(xù)的定解區(qū)域用有限個離散點構成的網(wǎng)格來代替曰韩一区二区，這些離散點稱作網(wǎng)格的節(jié)點亚洲爱爱爱爱爱爱；把連續(xù)定解區(qū)域上的連續(xù)變量的函數(shù)用在網(wǎng)格上定義的離散變量函數(shù)來近似；把原方程和定解條件中的微商用差商來近似欧美小性交黄色，積分用積分和來近似日韩妓女精品影院视频播放，于是原微分方程和定解條件就近似地代之以代數(shù)方程組，即有限差分方程組亚洲图片欧美激情，解此方程組就可以得到原問題在離散點上的近似解欧美日产国产变态精品。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振動方程的周期邊界問題，構造一個差分格式老妇女老少妇老熟女乱熟，利用分解解的奇性項的方法日本人人操人人aa，結(jié)合問題的漸近展開，證明所構造的差分格式為一階一致收斂成年人国产。

The analysis in theory proves that cellular automaton is equal with a stochastic process that described by stochastic difference equations. The primary differential equation is expectation of this stochastic process. And its variance function is controllable. These results show that cellular automata are in agreement with primary differential equation in the statistical sense.

理論分析證明：該方法設計的細胞自動機等價于一個可用隨機差分方程描述的隨機過程五月天人人干人人干，該隨機過程以原微分方程為期望函數(shù)，并且看免费的黄色片，其方差函數(shù)是可控的欧美精品日韩极品在线视频播放网站，表明細胞自動機和原微分方程在統(tǒng)計意義上是一致的。

It is known theoretically that to the variational problem with weak constraints in cost functional J, its Euler equation can be discreted into difference format, by using matrix theory and difference method of partial differential equation we know that there exists optimal selection of weight factors in the cost functional under the condition of minimal variance between analysis field and ideal field.

從理論上可知小视频试看入口，對于目標泛函J帶有約束條件的變分問題黄色wangzhan，將其Euler方程離散成差分形式，利用矩陣理論和偏微分方程的差分方法一区AV天堂综合，則目標泛函的權重因子特黄特色免费全部视频，在分析場和理想場的最小方差意義下存在最優(yōu)選取。

In Chapter 2, starting from the basic fractional ordinary differential equations,weapply a high order approximation of fractional derivative advanced by Lubich to frac-tional differential equation, construct a high numerical difference scheme to solve thefractional differential equation, present error analysis of the algorithms theoretically,and prove the consistency ,convergency and stability.

接下來的第二章中欧美一级人与嘼免费播放，首先從基本的分數(shù)階常微分方程出發(fā)国产黄色在线视频网站，對Lubich提出的一個關于分數(shù)階導數(shù)的高階近似，將其應用于分數(shù)階微分方程欧美老妇曰逼，構造高階數(shù)值差分格式來進行分數(shù)階微分方程的數(shù)值求解bbixx.con，并在理論上給出這一算法的誤差分析，證明了它的相容性18岁可以上免费观看的黄色网站，收斂性和穩(wěn)定性免费在线免费A片。

Because the equation is a various coefficients second-order parabolical partial differential equation,explicit difference formats usually have high condition for stability. Implicit difference formats have good stability,but they must calculate a set of algebraic equations,which are too complex.

由于泥沙擴散方程是一個二維變系數(shù)的拋物型方程，對于多維的方程A164影院，顯格式往往穩(wěn)定性要求很高欧洲性爱综合，而隱格式雖然穩(wěn)定性較好，但它要解大型的代數(shù)方程組，工作量也非常大欧美肏逼mp4，為了克服這兩種格式的不足久久精品嫩草影院免费看，常用ADI法求解，但仍存在一些計算量偏大等不足之處丝袜无码在线，因此構造出更好的差分格式是有必要的欧美一级一级精品久久。

The main contents of this course include: the construction, convergence, compatibility and stability of finite difference scheme of elliptic equation, parabolic equation and hyperbolic equation, the construction method and computation format of finite difference scheme of a system of partial differential equations.

本課程主要內(nèi)容有：橢圓型方程的有限差分格式的構造，有限差分格式的收斂性欧美性A一区二区，相容性及穩(wěn)定性先锋网站资源、拋物型方程的有限差分格式的構造，有限差分格式的收斂性国产AV一区黄色，相容性及穩(wěn)定性免费一级aaa视频、雙曲型方程的有限差分格式的構造，有限差分格式的收斂性国内精品视频在线观看6，相容性及穩(wěn)定性亚洲美女操、偏微分方程組的有限差分格式的構造方法及有關的計算格式。

Therefore,it is necessary to research diffusion equation for suspended sediment because it describes the sediment move process in the water body.The equation is a various coefficients second-order linear partial differential equa-tion,such equation under complex boundary condition is very difficult to get its analytical solution,while its numerical solution relative analytical solution is more easier and has the obvious superiority:simple,the computation convenience.but to get a kind of difference format which is good accuracy and stability is not easy.

泥沙擴散方程實際上是一個變系數(shù)的二階線性偏微分方程欧美黄色视频视频，這樣的方程在各種復雜邊界條件下求解是十分困難的亚欧免费无码Aⅴ在线观看天美，求它的解析解在數(shù)學上存在著難以克服的障礙，無法求出其精確解求黄色网站网址，因此常用數(shù)值方法求它的近似解東熱东京亚洲黄色网站X久国产，相比較而言，數(shù)值方法有著明顯的優(yōu)勢：即簡單靈活免费全部A毛片、計算方便快捷26uuu欧美亚洲日韩另类，但要尋找一種精度高、穩(wěn)定性好欧洲和曰韩小姐一级A片、計算方便的差分格式也并非易事WWW12在线视频。

Around the finite solution problem of fuzzy differential equation, the fuzzy structure element method is put forward about the calculation of fuzzy analysis, and this method is applied to systematically study many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the Riemann meaning, and the solution structure of fuzzy differential equation etc..

圍繞模糊微分方程定解問題，提出了模糊分析計算的模糊結(jié)構元方法日本网址在线播放，并利用模糊結(jié)構元的方法對模糊值函數(shù)的表述問題国产亚洲一区二区精品、模糊值函數(shù)的微分、黎曼意義下的模糊值函數(shù)積分以及模糊微分方程的解的結(jié)構等問題久久国产精品尤物网站，進行了深入系統(tǒng)的研究狠狠五月综合狠狠。