KMS Of Academy of mathematics and systems sciences, CAS
convergenceofanimmersedinterfaceupwindschemeforlinearadvectionequationswithpiecewiseconstantcoefficientssomerelatedbinomialcoefficientinequalities | |
Xin Wen | |
2009-01-01 | |
发表期刊 | journalofcomputationalmathematics |
ISSN | 0254-9409 |
卷号 | 27期号:4页码:474 |
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 L1-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 L1-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 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/39751 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Xin Wen. convergenceofanimmersedinterfaceupwindschemeforlinearadvectionequationswithpiecewiseconstantcoefficientssomerelatedbinomialcoefficientinequalities[J]. journalofcomputationalmathematics,2009,27(4):474. |
APA | Xin Wen.(2009).convergenceofanimmersedinterfaceupwindschemeforlinearadvectionequationswithpiecewiseconstantcoefficientssomerelatedbinomialcoefficientinequalities.journalofcomputationalmathematics,27(4),474. |
MLA | Xin Wen."convergenceofanimmersedinterfaceupwindschemeforlinearadvectionequationswithpiecewiseconstantcoefficientssomerelatedbinomialcoefficientinequalities".journalofcomputationalmathematics 27.4(2009):474. |
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