ACM Home Page
Please provide us with feedback. Feedback
Algorithm 584: CUBTRI: Automatic Cubature over a Triangle
Full text PdfPdf (461 KB)
Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 8 ,  Issue 2  (June 1982) table of contents
Pages: 210 - 218  
Year of Publication: 1982
ISSN:0098-3500
Author
D. P. Laurie  National Research Institute for the Mathematical Sciences of CSIR, P O. Box 395, Pretoria, South Africa
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 40,   Citation Count: 5
Additional Information:

appendices and supplements   references   cited by   index terms   collaborative colleagues   peer to peer  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/355993.356001
What is a DOI?

APPENDICES and SUPPLEMENTS
adaptive cubature over a triangle.
Gams: H2b2a1


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
HAEGEMANS, A. An algorithm for the automatic integration over a triangle. Comput. 19 (1977), Springer-Verlag, New York, pp. 179-187.
 
2
KROI~ROD, A S. Nodes and Weights of Gaussian Quadrature Formulas. Consultants Bureau, New York, 1965.
 
3
LAURIE, D.P. Sharper error estimates in adaptive numerical integration. NRIMS Tech. Rep. TWISK 259, National Research Institute for the Mathematical Science, Pretoria, South Africa, 1982.
 
4
LYNESS, J N, AND JESPERSEN, D. Moderate degree symmetric quadrature rules for the triangle. J. Inst Math. Appl. 15 (1975), 19-32
 
5
PIESSENS, R. A quadrature routine with roundoff error guard. Rep. TW 17, Apphed Mathematics and Programming Division, Umv. Leuven, Leuven, Belgium, 1974.
 
6
RADON, J. Zur mechamsche Kubatur. Monatsh. Math. 52 (1948), 286-300.
7
 
8
STROUD, A.H. Approxtmate Calculation of Mult~ple Integrals. Prentice-Hall, Englewood Cliffs, N.J, 1971.



Peer to Peer - Readers of this Article have also read: