High order numerical methods to a type of delta function integrals
文献类型：期刊论文
| 作者 | Wen, Xin |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 226期号:2页码:1952-1967 |
| 关键词 | delta function integral level set method discrete delta function |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2007.06.025 |
| 英文摘要 | We study second to fourth order numerical methods to a type of delta function integrals in one to three dimensions. These delta function integrals arise from recent efficient level set methods for computing the multivalued solutions of nonlinear PDEs. We show that the natural quadrature approach with usual discrete delta functions and support size formulas to the two dimensional delta function integrals suffer from nonconvergence. We then design high order numerical methods to this type of delta function integrals based on interpolation approach. Numerical examples are presented to verify the efficiency and accuracy of our methods. (c) 2007 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000250209700038 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4862]  |
| 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 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xin. High order numerical methods to a type of delta function integrals[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2007,226(2):1952-1967. |
| APA | Wen, Xin.(2007).High order numerical methods to a type of delta function integrals.JOURNAL OF COMPUTATIONAL PHYSICS,226(2),1952-1967. |
| MLA | Wen, Xin."High order numerical methods to a type of delta function integrals".JOURNAL OF COMPUTATIONAL PHYSICS 226.2(2007):1952-1967. |
入库方式： OAI收割
来源：数学与系统科学研究院
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