Finite dimensional approximations for the electronic ground state solution of a molecular system

doi:10.1002/mma.793

	Finite dimensional approximations for the electronic ground state solution of a molecular system
	Zhou, Aihui
	2007-03-10
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	30 期号:4 页码:429-447
摘要	In this paper, finite dimensional approximations for the electronic ground state solution of a molecular system are studied in the Thomas-Fermi-von Weeizsacker type setting. The convergence of the finite dimensional approximations obtained by a Galerkin discretization of the nonlinear eigenvalue equation is proved. In particular, several upper bounds of the approximation errors are established. Copyright (c) 2006 John Wiley & Sons, Ltd.
关键词	convergence finite dimensional approximation ground state nonlinear eigenvalue Thomas-Fermi-von Weizsacker equation
DOI	10.1002/mma.793
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000244327100004
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4104
专题	计算数学与科学工程计算研究所
通讯作者	Zhou, Aihui
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Aihui. Finite dimensional approximations for the electronic ground state solution of a molecular system[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2007,30(4):429-447.
APA	Zhou, Aihui.(2007).Finite dimensional approximations for the electronic ground state solution of a molecular system.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,30(4),429-447.
MLA	Zhou, Aihui."Finite dimensional approximations for the electronic ground state solution of a molecular system".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 30.4(2007):429-447.