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Here pis 1 or 2.In chapter 8. we extend the Runge-Kutta methods to variable delay differentialalgebraic system. It is proved that if the Runge-Kutta method which is algebraicallystable and diagonally stable is consistent with order p , the extended Runge-Kuttamethod with Lagrange interpolation procedure is D_A-convergence with order M. HereM=min{p, u + q + 1 }, and u + q is the degree of Lagrange interpolation polynomial.

第八章将求解常微分方程的Runge-Kutta方法改造后用于求解变延迟微分代数系统,并且证明如果代数稳定且对角稳定的Runge-Kutta方法对于常微分方程初值问题在经典意义下是p阶相容的,那么具有Lagrange插值过程的该方法是M阶D_A-收敛的,M=min{p,u+q+1},u+q为Lagrange插值多项式的次数。

Great differences between them are found in amplitude, and attributed to the strong background wind in troposphere and steady weak wind in lower stratosphere. Steady diurnal variation of temperature appears above 23 km, and the same variation in pressure is found starting from lower altitude, which together suggest a weak diurnal variation in atmosphere density above 23 km, that approximates a constant at each height.

发现风场振幅的变化与统计平均的结果存在较大差异,这归结于当地冬季对流层内强烈变化而低平流层内相对稳定的风场;温度在23 km以上存在稳定的周日变化,气压在更大的范围内存在与温度类似的周日变化,这使得在23 km以上大气密度的周日变化十分微弱,在各个高度上近似为一个常数。

Abstract] Objective This study investigates accommodative responses to three different kinds of accommodative stimuli (Maltese cross, E visual target and Chinese characters in rapid serial visual presentation) and discusses the differences in accommodative responses when fixation targets and reading tasks were compared.

马耳他十字视标为测量调节反应的经典视标,该视标中央可提供良好的细节,使受试者维持稳定注视,还可通过改变臂长,以获得不同注视距离的相同视角。E视标亦是常用的调节视标,它能够提供较好的细节以及相对稳定的空间频率。

In this thesis, some theories and approaches related to continuous dynamics, discrete dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence and globally asymptotic stability of periodic solutions, permanence, extinction, and all kinds of complexities, and meanwhile the possible effects of delay and impulse on the dynamical behaviors are discussed.

我们的这些结果显示出这三个时滞周期系统正周期解存在且全局渐近稳定的充分条件在形式上几乎能够很好的与相应的无时滞自治系统正平衡态存在且全局渐近稳定的充分条件相对(来源:A5babBC论文网www.abclunwen.com)应,这些结果也显示了时滞对系统正周期解的存在性和全局渐近稳定性是有影响的,它们推广并改进了一些已有的相关结果。

The traditional methods of solving Rational Function Model is not stable.

基于控制点数据的有理函数模型由于求解稳定性差、精度浮动大,目前还没有一个成熟的算法模块的软件集成,针对这些问题,本文从数学的角度分析造成有理函数模型求解不稳定的各项因素,寻找一种相对稳定的求解算法。

Moreover, a rounding error analysis of the symplectic Lanczos method is given for the Hamiltonian eigenvalue problem.

寻找一个稳定的有效的保结构的求解Hamilton特征问题的算法以及如何稳定有效地求解大规模Hamilton矩阵特征问题的辛Lanczos算法一直是数值界迫切需要研究的课题。

Fundamental concepts in power system differential-algebraic equations model, like singular point and multiple energy function sheets defined on constraint manifolds, are studied.

所得研究成果揭示了微分代数模型与奇异扰动模型的本质区别、奇异性与系统模型和系统负载的联系、结构保持能量函数法可能具有的内在保守性等,这对深入理解电力系统微分代数方程模型的拓扑结构、结构保持能量函数法和暂态电压稳定及其与功角稳定的关系具有一定的价值。

5The OCT reconstruction is notstable in the meaning of L2 norm,but extended to Sobolev space,it has a stablebehavior.

5OCT的重建问题在一般L2范数意义下是不稳定的,即系统可能因为小的扰动而剧烈震荡;但在Sobolev空间、规定的范数意义下,能够保证,理想的OCT数学模型中的重建问题是稳定有界的。

A1l the thick adsorption layer,large space steric hindrance,thick solvate layer and stable ξ-potential of ASP adsorbed on cement particles resist the flocculation of cement particles.In addition the early stage hydration of cement is restrained because the—OH ,—NH2 in ASP can suppress the formation of hydrated products such as C-S-H ,Ca2 and ettringite crystals through forming unstable complex compound with Ca2+.So ASP has excellent plasticity-retention capability of concrete.

由于ASP在水泥颗粒表面的吸附层较厚、空间位阻较大、溶剂化层较厚及ξ-电位较稳定等原因,阻碍了水泥颗粒间的凝聚;同时由于ASP含有的—OH,—NH2等官能团与水化产生的Ca2+形成不稳定的络合物,抑制了水化产物C-S-H,Ca2和钙矾石等结晶体的形成,从而抑制了水泥的早期水化,故ASP具有良好的保塑性能。

By the expansion of a function in terms of spherical harmonics, solutions in form of separation about the asymmetry disturbance were studied. At last, by the theory of stability of differential equations, under the no limitation or less than 1 to the symmetry stationary radius, the asymmetry stability of stable and unstable conditions were obtained.

然后利用球调和函数展开,研究了有关扰动的偏微分方程的变量分离形式的解,最后根据微分方程稳定性定理,在肿瘤静止半径没有限制或肿瘤静止半径小于1的情况下,得到了非对称扰动的稳定和不稳定的条件。

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Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

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