误差估计

In chapter 3,we establish convergence theorem under Ostrowski-Kanorovich condition for Newton-like method by using majorizing method.

第三章：通过运用优函数的方法，建立了Newton类迭代法在Ostrowski-Kantorovich条件的收敛性定理，并给出了相应的误差估计。

With the cone theory and monotone iterative technique,the existence and uniqueness of the solution for the ordering symmetric contraction mixed monotone operator equations are studied,and the error estimations for the convergent iterative sequence are also given.

摘 要 利用锥理论和单调迭代技巧，研究序对称压缩的混合单调算子方程解的存在唯一性，并给出迭代序列收敛于解的误差估计。

The difference schema of the initial boundary value problem was converted to the step-by-step form,which was similar to the difference schema of the initial value problem.It is concluded that the difference schema satisfying the Von Neumann condition is a stable schema,and that,under the consistency condition,such stable schema is convergent.Moreover,with error estimate expression for the difference approximation to the classical solution,the linearity condition is unnecessary.

引入反投影算子将发展方程初边值问题的差分格式转化为与初值问题差分格式类似的逐步推进的形式，从而得出：满足Von Neumann条件的差分格式是稳定的格式；在相容条件下，差分格式若稳定(或满足VonNeumann条件)则格式收敛，且对古典解的差分逼近有误差估计式，不再需要线性的条件。

For convection dominated diffusion equations with constant coefficients, the implicit scheme is consistent,unconditionally stable and its L~2 error estimation is derived.

对常系数的对流占优扩散方程而言，基于一边有限差分和中心差分的隐格式是相容的并且无条件稳定，对应L~2误差估计被推导。

The controller's parameters were identified directly without solving the Diophantine equation or the inverse of matrices, and the online computing time was shortened, which makes the approach be very suitable for the fast rolling process.

采用对模型要求宽松的广义预测控制方法，基于广义误差估计值对控制器参数进行自适应调整，直接辨识控制律参数，省略Diophantine方程的求解、矩阵的求逆，缩短在线计算的时间，适用于快速的轧钢过程。

In the case of Dirichlet boundary conditions,these estimates were improved by Baker[1]who used a technique that can be interpreted as a nonstandard energy argument.

Dupont[15]使用标准能量方法给出了一类线性双曲方程Galerkin解的L2误差估计，对于Dirichlet型边值问题，Baker[1]对其结果作了改进，用的是一种可谓"非标准的能量不等式"方法。

A new numerical method for the fractional integral that only stores parthistory data is presented,and its discretization error is estimated.

提出了一种只需要存储部分历史数据的分数积分的数值计算方法，并给出了误差估计。

Thedecision of whether further refinement of meshes is necessary is based on the estimateof the discretization error.

我们还将移动网格方法应用于静态问题，并在其中研究使用后验误差估计来构造控制函数的方法。

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究，利用线性化方法给出了有限元解的存在性证明和理论误差估计。

The semi-discrete Morley element method for the problem and its error estimates in the energy norm are reviewed first.

首先回顾了基于M0rlev元空间的半离散格式及其能量范数意义下的最优误差估计。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。