CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS II: SOME RELATED BINOMIAL COEFFICIENT INEQUALITIES
文献类型：期刊论文
| 作者 | Wen, Xin |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 27期号:4页码:474-483 |
| 关键词 | Binomial coefficient Linear advection equations Immersed interface upwind scheme Piecewise constant coefficients Error estimates |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.2009.27.4.014 |
| 英文摘要 | In this paper we give proof of three binomial coefficient inequalities. These inequalities are key ingredients in [Wen and Jin, J. Comput. Math. 26, (2008), 1-22] to establish the L(1)-error estimates for the upwind difference scheme to the linear advection equations with a piecewise constant wave speed and a general interface condition, which were further used to establish the L(1)-error estimates for a Hamiltonian-preserving scheme developed in [Jin and Wen, Commun. Math. Sci. 3, (2005), 285-315] to the Liouville equation with piecewise constant potentials [Wen and Jin, SIAM J. Numer. Anal. 46, (2008), 2688-2714]. |
| 语种 | 英语 |
| WOS记录号 | WOS:000267903600004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7714]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wen, Xin |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xin. CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS II: SOME RELATED BINOMIAL COEFFICIENT INEQUALITIES[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(4):474-483. |
| APA | Wen, Xin.(2009).CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS II: SOME RELATED BINOMIAL COEFFICIENT INEQUALITIES.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(4),474-483. |
| MLA | Wen, Xin."CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS II: SOME RELATED BINOMIAL COEFFICIENT INEQUALITIES".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.4(2009):474-483. |
入库方式： OAI收割
来源：数学与系统科学研究院
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