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Algorithm 468: algorithm for automatic numerical integration over a finite interval [D1]
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Communications of the ACM archive
Volume 16 ,  Issue 11  (November 1973) table of contents
Pages: 694 - 699  
Year of Publication: 1973
ISSN:0001-0782
Author
T. N. L. Patterson  Queen's Univ. of Belfast, Belfast, Northern Ireland
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 2,   Downloads (12 Months): 33,   Citation Count: 3
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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
Patterson, T.N.L. The optimum addition of points to quadrature formulae. Math. Comp. 22 (1968), 847-856.
 
2
Cranley, R., and Patterson, T.N.L. On the automatic numerical evaluation of definite integrals. Comp. J., 14 (1971), 189-198.
3
J. N. Lyness, Algorithm 379: Squank (Simpson Quadrature used adaptivity—noise killed) [D1], Communications of the ACM, v.13 n.4, p.260-262, April 1970  [doi>10.1145/362258.362289]
4
George C. Wallick, Algorithm 400: Modified Havie integration, Communications of the ACM, v.13 n.10, p.622-624, Oct. 1970  [doi>10.1145/355598.362781]
 
5
de Boor, Carl. CADRE: An algorithm for numerical quadrature. Mathematical Software. J.R. Rice (Ed.) Academic Press, New York, 1971, pp. 417-449.
6
Henry C. Thacher, Jr., Remark on algorithm 60: Romberg integration, Communications of the ACM, v.7 n.7, p.420-421, July 1964  [doi>10.1145/364520.364542]

CITED BY  3
Michael A. Malcolm , R. Bruce Simpson, Local Versus Global Strategies for Adaptive Quadrature, ACM Transactions on Mathematical Software (TOMS), v.1 n.2, p.129-146, June 1975
Fred T. Krogh , W. Van Snyder, Algorithm 699: a new representation of Patterson's quadrature formulae, ACM Transactions on Mathematical Software (TOMS), v.17 n.4, p.457-461, Dec. 1991
T. N. L. Patterson, An algorithm for generating interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions, ACM Transactions on Mathematical Software (TOMS), v.15 n.2, p.123-136, June 1989

INDEX TERMS

Keywords:
automatic integration, automatic quadrature, numerical integration, numerical quadrature


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