A posteriori error estimates serve as a key to realize the adaptive finite element computation.
后验误差估计是实现自适应有限元计算的关键性手段。
The optimal error estimates are given.
同时给出了最优误差估计。
By use of novel approaches and techniques, the optimal error estimates are obtained.
通过引入新的证明方法和技巧，得到了最优误差估计，弥补了以往文献的不足。
According to the general theory of regularization, many error estimates are order optimal.
根据正则化理论，许多误差估计都是阶数最优的。
The error estimates of nonlinear difference scheme and the numerical computations are given.
给出了非线性差分格式的误差估计及数值算例。
Under this frame the optimal error estimates are obtained for semidisecrcte and fully discrete states.
在此框架下，我们得到了半离散与全离散情形的最佳逼近阶的估计。
The mean value of the error estimates is used to correct the error in future pseudo range measurements.
使用误差估计值的平均值来校正后续伪路程测量值中的误差。
Furthermore, the optimal error estimates in the norm L2 are derived. Finally, Numerical experiment verifies the theoretical results.
进一步，对相应有限元解进行误差分析，得到其最优l 2模估计，数值实验验证了理论结果的正确性。
Then we give the convergence and error estimates for two types of generalized iterations by means of cubic majorizing function in chapter four.
第四章也利用三次优函数得到了两类一般迭代法的收敛性和误差估计。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived.
在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。
The finite element methods of a class of singular linear and semilinear elliptic and parabolic problems are considered and the error estimates in weighted L2 norm are derived.
考虑了二维奇异线性及半线性椭圆和抛物问题的有限元方法，给出加权L2 模的误差估计。
First, the probabilistic model of the rounding error in the computation of quaternions on a fixed point computer is established. Then, the probabilistic rounding error estimates are computed.
首先，对于定点计算机上四元数计算的舍入误差建立了概率模型，然后对舍入误差进行概率估计。
Using the critical estimates of parabolic type partial differential equation. we obtain the error estimates of price and optimal exercise boundary of American option in a jump-diffusion model.
利用抛物型偏微分方程的极值原理，得到了带跳扩散模型下美式期权价格及最佳实施边界的误差估计。
In this paper, we present a kind of symmetric modified finite volume element method for nonlinear parabolic problems, and give the optimal order energy norm error estimates for full discrete schemes.
本文对一类非线性抛物型方程提出对称修正有限体积元方法，给出能量模最优阶误差估计，并证明了对称修正有限体积元方法的解与一般有限体积元方法的解之差是一个更高阶项。
In this paper, we present a kind of symmetric modified finite volume element method for nonlinear parabolic problems, and give the optimal order energy norm error estimates for full discrete schemes.
本文对一类非线性抛物型方程提出对称修正有限体积元方法，给出能量模最优阶误差估计，并证明了对称修正有限体积元方法的解与一般有限体积元方法的解之差是一个更高阶项。
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