Analysis of Numerical Measure and Numerical Integration Based on Measure
We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integrat...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/474089 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556939434786816 |
|---|---|
| author | Yinkun Wang Jianshu Luo Xiangling Chen |
| author_facet | Yinkun Wang Jianshu Luo Xiangling Chen |
| author_sort | Yinkun Wang |
| collection | DOAJ |
| description | We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integration and prove that the numerical measure integration can decrease the singularity for singular integrals. Numerical examples are presented to confirm the theoretical results. |
| format | Article |
| id | doaj-art-1d14509436e84a47a9bff71bb5865039 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1d14509436e84a47a9bff71bb58650392025-02-03T05:44:02ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/474089474089Analysis of Numerical Measure and Numerical Integration Based on MeasureYinkun Wang0Jianshu Luo1Xiangling Chen2Department of Mathematics and System Science, National University of Defense Technology, Changsha 410073, ChinaDepartment of Mathematics and System Science, National University of Defense Technology, Changsha 410073, ChinaCollege of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaWe present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integration and prove that the numerical measure integration can decrease the singularity for singular integrals. Numerical examples are presented to confirm the theoretical results.http://dx.doi.org/10.1155/2013/474089 |
| spellingShingle | Yinkun Wang Jianshu Luo Xiangling Chen Analysis of Numerical Measure and Numerical Integration Based on Measure Abstract and Applied Analysis |
| title | Analysis of Numerical Measure and Numerical Integration Based on Measure |
| title_full | Analysis of Numerical Measure and Numerical Integration Based on Measure |
| title_fullStr | Analysis of Numerical Measure and Numerical Integration Based on Measure |
| title_full_unstemmed | Analysis of Numerical Measure and Numerical Integration Based on Measure |
| title_short | Analysis of Numerical Measure and Numerical Integration Based on Measure |
| title_sort | analysis of numerical measure and numerical integration based on measure |
| url | http://dx.doi.org/10.1155/2013/474089 |
| work_keys_str_mv | AT yinkunwang analysisofnumericalmeasureandnumericalintegrationbasedonmeasure AT jianshuluo analysisofnumericalmeasureandnumericalintegrationbasedonmeasure AT xianglingchen analysisofnumericalmeasureandnumericalintegrationbasedonmeasure |