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convergenceofanimmersedinterfaceupwindschemeforlinearadvectionequationswithpiecewiseconstantcoefficientssomerelatedbinomialcoefficientinequalities
Xin Wen
2009
Source Publicationjournalofcomputationalmathematics
ISSN0254-9409
Volume27Issue:4Pages:474
AbstractIn 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/39751
Collection中国科学院数学与系统科学研究院
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
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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