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We prove that the symplectic schemes preserve the charge conservation law exactly and analyze the energy residual. Both the global error and convergence ratio of the numerical solution are of ?

证明了我们构造的辛格式保持电荷守恒，而且分析了它的能量误差，证明了数值解的整体截断误差和解的收敛速度均为？

It shows that a remarkable advantage of the symplectic methods applied to the Schrodinger equation is the precise preservation of charge conservation law. In order to study the numerical stability, we also adopt the different time step sizes.

为了比较，我们还给出了同阶的非辛算法的数值模拟，从而得到辛摄动配置算法和其在理论上等价的辛龙格-库塔方法在数值上的等效性以及辛算法在数值计算中的优越性。

Transitions of different neuronal firing patterns in the Chay model are explored by numerical simulation and bifurcation analysis of limit cycle, with respect to three firing sequences observed in experiments on neural pacemakers.

本文利用神经元Chay 模型，对实验中观察到的三种放电节律模式序列进行数值模拟，并应用余维1极限环分岔分析研究了其产生机理。

Both the numerical results of these two chapters show that the Chebyshev polynomial approximation is an effective method in the study of system with random parameter.

数值结果表明Chebyshev正交多项式逼近法对于分析谐和激励和脉冲激励共同作用下的含有界随机参数系统的分岔现象也是有效的。

Numerical simulations show that similar to their counterpart in deterministic nonlinear system some symmetry-breaking bifurcation may occur in the stochastic Duffing-Van der pol system, and Chebyshev polynomial approximation is an effective approach in solving dynamical problems of nonlinear system with random parameter.

数值模拟显示随机Duffing-Van der pol系统与确定性均值参数系统有着类似的对称破裂分岔行为，文中的主要数值结果表明Chebyshev多项式逼近法是研究非线性随机参数系统动力学问题的一种有效方法。

Numerical results for the original stochastic Duffing-van der Pol system obtained separately by the Mento-Carlo method and the Chebyshev polynomial approximation are compared to show the effectiveness and efficiency of the latter method in solving the nonlinear dynamical problems of system with bounded random parameters.

数值模拟结果显示，Chebyshev正交多项式逼近法是研究含有界随机参数的耦合非线性动力学系统的一种有效方法。

Numerical instabilities during topology optimization, such as checkerboard and mesh dependency, are analyzed and investigated.

对优化结构中出现的棋盘格和网格依赖等数值不稳定现象进行了剖析和讨论。

Euler equation ; chemical non equilibrium ; inviscid flow ; numerical simulation ; computational method

欧拉方程；化学非平衡；无粘绕流；数值模拟；计算方法

An analytical study and numerical simulation of the pyrolysis chemism and the release of volatiles of micronized coal , accompanying NOx reduction during its recombustion in EFR, has been conducted.

对立式管式携带炉内再燃还原NO过程中超细煤粉热解化学机理及挥发份的释放进行了分析和数值模拟研究。

The main Purpose of this topic is the design that uses Single Chip Microcosm to carry out the numerical electric clock.

本课题的主要内容就是用单片机实现数字电子钟的设计。

To me, this article appears conclusive of little beyond the zeal of its inditer

对我来说，这篇文章除了作者那分热情之外，看不出什么令人信服的地方。

Oscar Crane: Oh, good evening, Mrs Rice.

奥斯伽。克兰：噢，晚上好，莱斯太太。