Simple Fourth-Degree Cubature Formulae with Few Nodes over General Product Regions. Issue 2 (May 2014)
- Record Type:
- Journal Article
- Title:
- Simple Fourth-Degree Cubature Formulae with Few Nodes over General Product Regions. Issue 2 (May 2014)
- Main Title:
- Simple Fourth-Degree Cubature Formulae with Few Nodes over General Product Regions
- Authors:
- Yu, Ran
Meng, Zhaoliang
Luo, Zhongxuan - Abstract:
- Abstract: A simple method is proposed for constructing fourth-degree cubature formulae over general product regions with no symmetric assumptions. The cubature formulae that are constructed contain at most n 2 + 7 n + 3 nodes and they are likely the first kind of fourth-degree cubature formulae with roughly n 2 nodes for non-symmetric integrations. Moreover, two special cases are given to reduce the number of nodes further. A theoretical upper bound for minimal number of cubature nodes is also obtained.
- Is Part Of:
- Numerical mathematics. Volume 7:Issue 2(2014)
- Journal:
- Numerical mathematics
- Issue:
- Volume 7:Issue 2(2014)
- Issue Display:
- Volume 7, Issue 2 (2014)
- Year:
- 2014
- Volume:
- 7
- Issue:
- 2
- Issue Sort Value:
- 2014-0007-0002-0000
- Page Start:
- 179
- Page End:
- 192
- Publication Date:
- 2014-05
- Subjects:
- 65D30, -- 65D32
Fourth-degree cubature formula, -- cubature formula, -- product region, -- non-symmetric region, -- numerical integration
Numerical analysis -- Periodicals
Numerical analysis
Periodicals
518.05 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=TMA ↗
http://www.global-sci.org/nmtma/ ↗ - DOI:
- 10.1017/S1004897900000933 ↗
- Languages:
- English
- ISSNs:
- 1004-8979
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 5936.xml