简单介绍了量子系统中的超收敛微扰法。
Superconvergent perturbation method in quantum system is briefly introduced.
本文提出并研究了二维涡格法的超收敛性。
In this paper, superconvergence in two-dimensional vortex-lattice methods is presented and studied.
同时基于插值后处理技术导出了整体超收敛。
At the same time, based on the interpolated postprocessing technique, the global superconvergence is obtained.
同时利用插值后处理技术得到了整体超收敛结果。
Furthermore, the global superconvergence is obtained through post-processing technique.
同时利用插值后处理技术得到了整体超收敛结果。
At the same time, based on the interpolated postprocessing technique, the global superconvergence is obtained.
本文就二维平板从理论上证明了改进涡格法的超收敛性。
The superconvergence of an improved vortex lattice method for a two-dimensional flat plate has been verified theoretically.
数值实验不仅证实了这些理论结果，还发现了具有更高阶收敛率的超收敛性。
Numerical experimentation have not only proved the theoretical result but also found out superconvergence of higher order.
本文讨论一个四自由度三角形非协调膜元的整体超收敛性，外推和亏量校正。
In ha peper, a four-degree triangle nonconforming membrance element is considered and the global superconvergence estmates, the extrapolation and the defect correction schemes are presented.
第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.
介绍了用于辨识方法性能研究的鞅收敛定理和鞅超收敛定理，阐述了其应用范围；
In this paper, we introduce the martingale convergence theorem and martingale hyperconvergence theorem for analyzing performances of identification methods and states their application ranges.
第五章利用新的误差估计方法讨论了双线性元的超收敛性及非光滑解双线性元的外推。
In Chapter 5, we discuss the superconvergence and extrapolation of bilinear finite element with no-smooth solution by the new error estimate method.
在此基础上，我们继续讨论了超收敛单元片应力恢复（SPR）技巧与有限元校正的问题。
Furthermore, we discuss SPR technique and finite element correction, we proved some results of SPR technique and obtained global ultraconvergence by correction.
通过对高阶离散函数的一些精致估计，为高次矩形元的最佳超收敛性研究提供了有力的工具。
By fine estimate for high order discrete Green function, it is more convenient to study the optimal super-convergence of high order rectangular finite element.
本文首次系统地对多种半线性问题，研究了插值系数有限元的超收敛性，获得了比较完整的结果。
For the first time this paper makes a systematic study about superconvergence of interpolated coefficients finite element method for many semilinear problems and obtains rather integrated results.
研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数，得到一些精确的结果。
The hyper order, the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed.
第三节从理论上说明了格式在应力佳点处的导数超收敛性，并针对简单情形证明了格式在节点处的超收敛性。
In the section three, the derivative superconvergence at optimal stress points is showed theoretically and prove the superconvergence at nodes for the simply case.
第三节从理论上说明了格式在应力佳点处的导数超收敛性，并针对简单情形证明了格式在节点处的超收敛性。
In the section three, the derivative superconvergence at optimal stress points is showed theoretically and prove the superconvergence at nodes for the simply case.
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