误差估计

Local discontinuous Galerkin method for convection-dominated diffusion problems with periodic boundary conditions is constructed. To deal with the derivative of second order, an auxiliary variable is introduced. The stability and error estimations are presented simultaneously.

针对具有周期性边界条件对流占优的扩散问题中的二阶导数，引入辅助变量，构造了局部间断Galerkin方法，并给出了方法的稳定性结果和误差估计式。

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

Using partial least squares in conjunction with the chebyshev polynomial representation, the expression for the simplifying model is built, and is provided to determine the optimal MR damper marker.

采用偏最小二乘法误差估计、Chebyshev多项式拟合建立了MR阻尼器简化模型的参数化表达式，为合理选择MR阻尼器提供了便捷的可靠的手段。

By using the spectrum approximation theory of compact operator, the approximation of anisotropic nonconforming ?nite element method for Stokes eigenvalue pronlem are presented and the optimal error estimates are obtained, which are as same as those of traditional ?nite element methods.

利用紧算子谱逼近理论，给出了 Stokes 特征值问题的各向异性非协调有限元逼近方法及最优误差估计，得到了与剖分网格满足正则性或拟一致性关键假设下相同的收敛效果。

Corresponding quadrature formulaare derived. Error analysis and computational...

并通过解的误差估计和实例计算表明本方法确实具有上述优点。

The weighted least square iteration computational equations and error estimate equations are given.

给出了加权最小二乘法的迭代计算公式和误差估计公式。

This paper discusses the conditional stability for solving the inverse sideways heat conduction problem by the rapid decreasing properties of the mollification kernel function, and obtain its regularization solution and its error estimate by constructing a well-posed problem.

利用磨光核函数在无穷远处的急降性质研究了反问题的条件稳定性，构造了一个适定的问题来逼近原问题，从而获得反问题的正则化解及其误差估计。

By using the cone theory, t he existence and uniqueness of solution of nonlinear Fredholm type integral equations on an infinite interval can be obtained without the assumption of continuity and compactness condition.

利用锥理论，在不需要非线性项满足连续性和紧性条件下，获得无穷区间上Fredholm型积分方程解的存在唯一性，并给出逼近解迭序列的误差估计。

First,an optimal filtering operator on the continuous fractional Fourier domain is provided according to the orthogonality principle about the linear minimum mean square error estimation,and then,a discrete algorithm of the filtering operator is further proposed.

首先由线性最小均方误差估计的正交条件出发，得到了连续分数阶傅立叶域上的等效Wiener滤波算子的求解方法；在此基础上，进一步给出了滤波算子的离散化算法。

With an energy method,the optimal order convergence rate in discrete H1 norm is proved and the stability in H1 norm is proved without any restrictive conditions about steps Δt and h.

利用变分形式及能量方法，得到离散H1范数的最优阶先验误差估计及稳定性。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。