Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates
文献类型：期刊论文
| 作者 | Wen, Xin1; Jin, Shi2,3 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008 |
| 卷号 | 26期号:1页码:1-22 |
| 关键词 | linear advection equations immersed interface upwind scheme piecewise constant coefficients error estimate half order error bound |
| ISSN号 | 0254-9409 |
| 英文摘要 | 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]. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252968400001 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6766]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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