Convergence of a conservative difference scheme for the Zakharov equations in two dimensions

	Convergence of a conservative difference scheme for the Zakharov equations in two dimensions
	Guo, BL ; Chang, QS
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	1997-07-01
卷号	15 期号:3 页码:219-232
ISSN号	0254-9409
英文摘要	A conservative difference scheme is presented for the initial-boundary-value problem of a generalized Zakharov equations. On the basis of a prior estimates in L-2 norm, the convergence of the difference solution is proved in order O(h(2) + r(2)). In the proof, a new skill is used to deal with the term of difference quotient (e(j,k)(n))t. This is necessary, since there is no estimate of E(x, y, t) in L-infinity norm.
WOS研究方向	Mathematics
语种	英语
出版者	VSP BV
WOS记录号	WOS:A1997XM96100003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/28958]
专题	中国科学院数学与系统科学研究院
作者单位	1.INST APPL PHYS & COMPUTAT MATH,BEIJING 100088,PEOPLES R CHINA 2.CHINESE ACAD SCI,INST APPL MATH,BEIJING,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Guo, BL,Chang, QS. Convergence of a conservative difference scheme for the Zakharov equations in two dimensions[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1997,15(3):219-232.
APA	Guo, BL,&Chang, QS.(1997).Convergence of a conservative difference scheme for the Zakharov equations in two dimensions.JOURNAL OF COMPUTATIONAL MATHEMATICS,15(3),219-232.
MLA	Guo, BL,et al."Convergence of a conservative difference scheme for the Zakharov equations in two dimensions".JOURNAL OF COMPUTATIONAL MATHEMATICS 15.3(1997):219-232.