HIGH ORDER NUMERICAL METHODS TO TWO DIMENSIONAL HEAVISIDE FUNCTION INTEGRALS
文献类型：期刊论文
| 作者 | Wen, Xin |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2011-05-01 |
| 卷号 | 29期号:3页码:305-323 |
| 关键词 | Heaviside function integral High order numerical method Irregular domain |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1010-rn3285 |
| 英文摘要 | In this paper we design and analyze a class of high order numerical methods to two dimensional Heaviside function integrals. Inspired by our high order numerical methods to two dimensional delta function integrals [19], the methods comprise approximating the mesh cell restrictions of the Heaviside function integral. In each mesh cell the two dimensional Heaviside function integral can be rewritten as a one dimensional ordinary integral with the integrand being a one dimensional Heaviside function integral which is smooth on several subsets of the integral interval. Thus the two dimensional Heaviside function integral is approximated by applying standard one dimensional high order numerical quadratures and high order numerical methods to one dimensional Heaviside function integrals. We establish error estimates for the method which show that the method can achieve any desired accuracy by assigning the corresponding accuracy to the sub-algorithms. Numerical examples are presented showing that the second to fourth-order methods implemented in this paper achieve or exceed the expected accuracy. |
| 语种 | 英语 |
| WOS记录号 | WOS:000291370000004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11324]  |
| 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, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xin. HIGH ORDER NUMERICAL METHODS TO TWO DIMENSIONAL HEAVISIDE FUNCTION INTEGRALS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2011,29(3):305-323. |
| APA | Wen, Xin.(2011).HIGH ORDER NUMERICAL METHODS TO TWO DIMENSIONAL HEAVISIDE FUNCTION INTEGRALS.JOURNAL OF COMPUTATIONAL MATHEMATICS,29(3),305-323. |
| MLA | Wen, Xin."HIGH ORDER NUMERICAL METHODS TO TWO DIMENSIONAL HEAVISIDE FUNCTION INTEGRALS".JOURNAL OF COMPUTATIONAL MATHEMATICS 29.3(2011):305-323. |
入库方式： OAI收割
来源：数学与系统科学研究院
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