Galerkin methods based on hermite splines for singular perturbation problems
文献类型：期刊论文
| 作者 | Liu, ST; Xu, YS |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2006 |
| 卷号 | 43期号:6页码:2607-2623 |
| 关键词 | singular perturbation Galerkin methods Hermite splines grid meshes optimal order of uniform convergence |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/040607411 |
| 英文摘要 | We develop Galerkin methods for solving the singularly perturbed two-point boundary value problem of high-order elliptic differential equations. These methods are based on Hermite splines with knots adapted to the singular behavior of the solution of the problem. We prove an optimal order of uniform convergence for the method with respect to the perturbation parameter. Specifically, we present a sufficient condition on the mesh of grid points that ensures the corresponding approximate solution has the optimal order of uniform convergence in the energy norm. We also construct optimal meshes that satisfy the sufficient condition. Numerical examples are presented to illustrate the method and the corresponding theoretical estimates. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235426500016 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3758]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, ST |
| 作者单位 | 1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, ST,Xu, YS. Galerkin methods based on hermite splines for singular perturbation problems[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2006,43(6):2607-2623. |
| APA | Liu, ST,&Xu, YS.(2006).Galerkin methods based on hermite splines for singular perturbation problems.SIAM JOURNAL ON NUMERICAL ANALYSIS,43(6),2607-2623. |
| MLA | Liu, ST,et al."Galerkin methods based on hermite splines for singular perturbation problems".SIAM JOURNAL ON NUMERICAL ANALYSIS 43.6(2006):2607-2623. |
入库方式： OAI收割
来源：数学与系统科学研究院
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