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Convergence of a conservative difference scheme for the Zakharov equations in two dimensions
Guo, BL; Chang, QS
1997-07-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume15Issue:3Pages:219-232
AbstractA 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1997XM96100003
PublisherVSP BV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28959
Collection中国科学院数学与系统科学研究院
Affiliation1.INST APPL PHYS & COMPUTAT MATH,BEIJING 100088,PEOPLES R CHINA
2.CHINESE ACAD SCI,INST APPL MATH,BEIJING,PEOPLES R CHINA
Recommended Citation
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.
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