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1.
给出了多步Runge-Kutta法(MIRK)解延时微分方程(DDEs)的Pm-稳定性.着重研究此法用于下列具有m个延时量的线性试验方程时的稳定性态。u’(t)=au(t)+(t-τj),t≥0.u(t)=(t),t≤0.其中a,bj(j=1,2,…,m) ∈C,τm≥τ(m-1)≥…≥τ>0,(t)给定.证明了m=2时,MIRK法是P2-稳定的.对于m>2,得到同样的结果(Pm-稳定).  相似文献   

2.
研究Runge-Kutta方法的GPmL-稳定性,着重研究用隐式Runge-Kutta方法去解如下方程时的数值稳定性,y’=(t)=Ly(t)+M1y(t-τ1)+…+Mmy(t-τm),t≥0,y(t)=Φ(t),t<0,其中L,Mi(i=1,…,m)是N×N复矩阵,0<τ1≤τ2≤…≤τm,Φ(t)是一个已知向量函数,证明隐式RK方法是GPmL-稳定的当且仅当它是L-稳定的.  相似文献   

3.
本文将Runge-Kutta法应用于解多个滞时的微分方程.主要研究该方法数值解线性试验方程y'(t)=ay(t)十b1y(t—τ1)十b2y(t—τ2)(其中τ2≥,τ1>0,a,b1,b2为复数)的稳定性态.我们证明满足条件det(I—xA)=0det[I—A十xebT」≠0(x∈C)的Runge-Kutta法是GP-稳定的当且仅当该方法是A-稳定的.  相似文献   

4.
用多步Runse-Kutta方法去解如下形式的试验方程其中y(t)=(y1(t),y2(t),…,yN(t))T,L和M是复N×N矩阵,τ>0,Φ(t)是一个已知向量函数,当t≥0时y(t)是未知的.主要解决了延时微分方程多步Runge-Kutta方法的P-稳定性.  相似文献   

5.
介绍了延时微分方程组的Pm L稳定性⒚用隐式RungeKutta 方法去解如下形式的含有m 个延时量的线性试验方程组:y′(t) = ay(t) + mj= 1djy t- τj , t≥0y(t) = φ(t) ,         t≤0其中a,bj(j = 1,2,…,m ) ∈C,τm ≥τm - 1 ≥…≥τ1 > 0⒀φ(t) 是已知函数⒚当m = 2 时,证明隐式RungeKutta 方法是P2L稳定的充要条件是它为L稳定的⒚当m > 2 时,此结论也成立⒚  相似文献   

6.
本文主要利用H( t,s)型函数和广义Riccati变换技巧,建立二阶中立型时滞拟线性微分方程[r(t)|x′(t)|γ-1x′(t)]′+q0(t)|y(t -σ)|γ-1y(t -σ)+q1(t)|y(t -σ1)|α-1y(t -σ1)+q2(t)|y(t -σ2)|β-1y(t -σ2)=0.其中x(t)=y(t)+p(t)y(t-τ),在0≤p(t)≤1的新的振动准则.  相似文献   

7.
利用二阶徽商的四阶精度紧致差分逼近公式,给出解抛物型方程精度为O[1-20)t,t2+x4]的一种新的加权差分格式,并通过Fourier方法讨论格式的稳定性.证明了当1/2≤θ≤1时,格式是无条件稳定的;当0≤θ<1/2时,只有r≤1/3(1-2θ),格式才是稳定的,其中θ是加权参数(因子),t,x分别为时空方向的网格长度,r=(D是二阶导数项系数).  相似文献   

8.
研究单参数方法解中立型微分方程组x'(t)=Ax(L-τ)+Bx(l)+Cx'(l-τ)的数值稳定性性态,其中A,B,C是实对称矩阵及τ>0.并且,我们研究了稳定域的特征.  相似文献   

9.
研究了随机系统dx(t)=〖A+^-A(t)x(t)+(B+^-B(t-τ1(t))x(t-τ1(t)〗dt+g(t,x(t),x(t-τ2(t)dω(t)的指数稳定性,引入对应的稳定性系统(无不确定性、随机扰动与时滞)x(t)=(A+B)x(t)并设定是指数稳定的,应用Razumikhin定理证明了当不确定性^-A与^-B、随机扰动g及时滞τi(i=1,2)充分小时,原随机系统仍指数稳定。  相似文献   

10.
引入复合二项Kantorovich-Stieltjes算子(S_rv)(x)=S_(k,τ)(x)(τ>0,0≤x≤1),证明了当τ→+∞时,(S_τv)(x)在(0,1]上几乎处处收敛于v关于Lebegue测度的绝对连续部份的Radan-Nikodym导数f(x).同时也证明了PoissonK-S算子(S_τv)(x)=(τdv)在[a,b](0,+∞)上也有类似的结论.  相似文献   

11.
Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.  相似文献   

12.
理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。  相似文献   

13.
As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.  相似文献   

14.
正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-  相似文献   

15.
We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-  相似文献   

16.
正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that  相似文献   

17.
For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the  相似文献   

18.
Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of  相似文献   

19.
<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with  相似文献   

20.
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