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1.
MULTISTEP DISCRETIZATION OF INDEX 3 DAES   总被引:1,自引:0,他引:1  
1. IntroductionIn this paper, we will consider the multistep discrezations of the differential--algebraicequations (DAEs) in Hessenberg formwhere F e AN M M R", K E AN M L - AM, G E AN - RL, the initial value(yo, ic, no) at xo are assumed to be consistent, i.e., they satisfyWe supposes, F, G and K are sufficiently differentiable, and thatin a neighbourhood of the solution. Such problems often appear in the simulation ofmechanical systems with constraints and the singularly perturbed…  相似文献
2.
This paper proposes a new method for estimating the error in the solution of matrix equations. The estimate is based on the adjoint method in combination with small sample statistical theory. It can be implemented simply and is inexpensive to compute. Numerical examples are presented which illustrate the power and effectiveness of the new method.  相似文献
3.
119Sn M(o)ssbauer research is carried out on (La1-xSrx)2Cu1-xSnxO4 (x=0.075 and 0.110) superconductors which are designed under a new concept. The M(o)ssbauer spectra results show that Sn occupies Cu position in Sn4+ state, and there is no Sn2+ ion occupying La position. The local lattice deformation near Sn4+ site is small, but displays an increasing tendency with Sn doping. For La2CuO4 matrix, the simultaneous dopings of Sr/Sn induce holes and electrons on CuO2 layer in a new mechanism which influences superconductivity. Under a new mechanism of extra oxygen, the extra oxygen effect of Sn-doping on superconductivity is discussed.  相似文献
4.
In this paper, the maximum order of linear multistep methods (LMM) for solving semi-explict index-2 differential-algebraic equations (DAEs) is discussed. For ak-step formula, we prove that the orders of differential variables and algebraic variables do not exceedk+1 andk respectively whenk is odd and both orders do not exceedk whenk is even. In order to achieve the orderk+1, the coefficients in the formula should satisfy some strict conditions. Examples which can achieve the maximum order are given fork=1,2,3. Especially, a class of multistep formula fork=3, not appearing in the literature before, are proposed. Further, a class of predictor-corrector methods are constructed to remove the restriction of the infinite stability. They give the same maximum order as that for solving ODEs. Numerical tests confirm the theoretical results. This work was partially supported by the National Natural Science Foundation of China.  相似文献
5.
对新概念指导下而设计的 (La1-xSrx)2Cu1-xSnxO4超导体进行了119Sn MÖssbauer谱研究 .对不同掺杂量样品的系统研究表明 ,MÖssbauer谱实验结果进一步证实了Sn以Sn4+价态存在并占据Cu晶位 ,不存在占据La晶位的Sn2 +离子 .Sn4+离子附近的局域晶格畸变较小 ,但是随Sn掺杂量有增加趋势 .在对La2 CuO4母体进行Sr和Sn同时掺杂所引入的载流子对超导电性的影响存在新的机制 .在新的额外氧机制下 ,讨论了Sn掺杂所导致的额外氧对超导电性的影响 .  相似文献
6.
本文利用变温X射线衍射方法研究了铋系高温超导相晶格振动行为。变温X射线衍射的研究工作集中在(002)晶面上,它能反映与超导电性有密切关系的Cu-O层和Bi-O层的晶格振动信息。在温度为130和200K附近的两个温度区间上,(002)峰的衍射强度I(T)与晶格常数C(T)随温度变化的异常行为表明在超导转变温度T。以上,(002)晶面出现了明显的晶格软化效应。结合Mssbauer谱的研究结果,我们认为Cu-O层声子模的软化是超导转变的前驱效应。  相似文献
7.
This paper deals with the Cauchy problem to the nonlinear pseudo-parabolic system ut-△u-αut=vp,vt-△v-αvt=uqwith p,q 1 and pq1,where the viscous terms of third order are included.We first find the critical Fujita exponent,and then determine the second critical exponent to characterize the critical space-decay rate of initial data in the co-existence region of global and non-global solutions.Moreover,time-decay profiles are obtained for the global solutions.It can be found that,diferent from those for the situations of general semilinear heat systems,we have to use distinctive techniques to treat the influence from the viscous terms of the highest order.To fix the non-global solutions,we exploit the test function method,instead of the general Kaplan method for heat systems.To obtain the global solutions,we apply the Lp-Lq technique to establish some uniform Lmtime-decay estimates.In particular,under a suitable classification for the nonlinear parameters and the initial data,various Lmtime-decay estimates in the procedure enable us to arrive at the time-decay profiles of solutions to the system.It is mentioned that the general scaling method for parabolic problems relies heavily on regularizing efect to establish the compactness of approximating solutions,which cannot be directly realized here due to absence of the smooth efect in the pseudo-parabolic system.  相似文献
8.
We consider a class of nonlinear viscous Cahn–Hilliard equations with gradient dependent potentials and sources. By a Galerkin approximation scheme combined with the potential well method, we prove the global existence of weak solutions.  相似文献
9.
本文是正则半群的模糊化研究工作的继续,首先给出了广义模糊强正则子半群的概念,其次基于模糊点理论给出了(∈,∈∨ q(λ,μ))-模糊强正则子半群的概念,并且讨论了它们的相关性质.最后获得了(∈,∈∨ q(λ,μ))-模糊强正则子半群的同态像与同态原像的有关性质.  相似文献
10.
In this paper, we discuss two classes of parameterized block triangular preconditioners for the generalized saddle point problems. These preconditioners generalize the common block diagonal and triangular preconditioners. We will give distributions of the eigenvalues of the preconditioned matrix and provide estimates for the interval containing the real eigenvalues. Numerical experiments of a model Stokes problem are presented.  相似文献
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