Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates

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	Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates
	Wen, Xin 1; Jin, Shi 2,3
	2008
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	26 期号:1 页码:1-22
摘要	We study the L-1-error estimates for the upwind scheme to the linear advection equations with a piecewise constant coefficients modeling linear waves crossing interfaces. Here the interface condition is immersed into the upwind scheme. We prove that, for initial data with a bounded variation, the numerical solution of the immersed interface upwind scheme converges in L-1-norm to the differential equation with the corresponding interface condition. We derive the one-halfth order L-1-error bounds with explicit coefficients following a technique used in [25]. We also use some inequalities on binomial coefficients proved in a consecutive paper [32].
关键词	linear advection equations immersed interface upwind scheme piecewise constant coefficients error estimate half order error bound
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000252968400001
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6767
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	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Univ Wisconsin, Dept Math, Madison, WI 53706 USA 3.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xin,Jin, Shi. Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(1):1-22.
APA	Wen, Xin,&Jin, Shi.(2008).Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(1),1-22.
MLA	Wen, Xin,et al."Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.1(2008):1-22.