共查询到10条相似文献,搜索用时 78 毫秒
1.
In this paper, a two-scale higher-order finite element discretization scheme is proposed and analyzed for a Schroedinger equation on tensor product domains. With the scheme, the solution of the eigenvalue problem on a fine grid can be reduced to an eigenvalue problem on a much coarser grid together with some eigenvalue problems on partially fine grids. It is shown theoretically and numerically that the proposed two-scale higher-order scheme not only significantly reduces the number of degrees of freedom but also produces very accurate approximations. 相似文献
2.
In this paper, both the standard finite element discretization and a two-scale finite element discretization for SchrSdinger equations are studied. The numerical analysis is based on the regularity that is also obtained in this paper for the Schroedinger equations. Very satisfying applications to electronic structure computations are provided, too. 相似文献
3.
Gianni A. Pozzi 《Annali di Matematica Pura ed Applicata》1969,81(1):205-248
Sunto Dopo aver fornito alcuni complementi ai risultati trovati nella parte I, si danno esempi di applicazione a problemi ai limiti
per equazioni a derivate parziali del tipo di Schroedinger. Infine, si studia l’equazione di evoluzione di Schroedinger contenente
un termine non lineare.
Entrata in Redazione il 20 maggio 1968.
Lavoro eseguito nell’ambito delle attività dei gruppi di ricerca del comitato per la matematica del C.N.R. 相似文献
4.
带调和势的非线性Schrdinger方程爆破解的L~2集中率 总被引:1,自引:0,他引:1
本文讨论了带调和势的具有临界幂的非线性Schrodinger方程,得到其爆破解在t→T(爆破时间)的L2集中率. 相似文献
5.
在二维空间中考虑了一类非线性Schroedinger方程组.在能量守恒及质量守恒的基础上,通过对解的极限行为的研究,建立了一系列解在原点的局部恒等式,得到了方程组的径向对称爆破解的集中性质. 相似文献
6.
Edgardo Gerck Augusto Brand?o dOliveira 《Journal of Computational and Applied Mathematics》1980,6(1):81-82
The usual Sturmanian sequence for finding the eigenvalues of a tridiagonal matrix arising from the radial Schroedinger equation is found to be unstable. A self-stabilising continued fraction approach is suggested. 相似文献
7.
We assume that the nonlinear Schroedinger equation with sufficiently general nonlinearity admits solutions of the soliton
type. The Cauchy problem with initial data close to a soliton is considered. We also assume that the linearization of the
equation in the vicinity of the soliton possesses only a real spectrum. The main result claims that the asymptotic behavior
of the solution as t→+∞ is given by the sum of a soliton with deformed parameters and a dispersive tail, i.e., a solution
of the linear Schroedinger equation. The case of the minimal spectrum has been considered in the previous paper. Bibliography:
1 title.
Dedicated to O. A. Ladyzhenskaya on the occasion of the jubilee
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 38–50.
Translated by G. S. Perelman 相似文献
8.
研究了在分子晶体中的一类广义非线性Schroedinger方程组的初边值问题.应用先验估计的方法,得到了整体解的存在性. 相似文献
9.
M. F. Mahmood 《Mathematical and Computer Modelling》2002,36(11-13)
Using a variational method, a new model of the nonlinear propagation of optical solitons generated from semiconductor lasers through lossy elliptically low birefringent fiber, is presented within the framework of a system of coupled nonlinear Schroedinger (CNLS) equations with oscillating terms. This analytic model demonstrates polarized soliton oscillations in a lossy elliptically low birefringent optical fiber. 相似文献
10.
Shijun Zheng 《分析论及其应用》2006,22(4):353-361
Let H be a Schroedinger operator on R^n. Under a polynomial decay condition for the kernel of its spectral operator, we show that the Besov spaces and Triebel-Lizorkin spaces associated with H are well defined. We further give a Littlewood-Paley characterization of Lp spaces in terms of dyadic functions of H. This generalizes and strengthens the previous result when the heat kernel of H satisfies certain upper Gaussian bound. 相似文献