Algorithm 379: Squank (Simpson Quadrature used adaptivity

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Algorithm 379: Squank (Simpson Quadrature used adaptivity—noise killed) [D1]

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Communications of the ACM archive
Volume 13 , Issue 4 (April 1970) table of contents

Pages: 260 - 262

Year of Publication: 1970

ISSN:0001-0782

Author

J. N. Lyness

Argonne National Lab, Argonne, IL

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 19, Citation Count: 6

Additional Information:

references cited by index terms collaborative colleagues

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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	CASALETTO, J ., PICKET, 1V., AND RICE, J . A comparison of some numerical integration programs. CSD TR 37, Purdue U., Lafayette, Ind., June 1969, and "SIGNUVI Newsletter" 4, 3 (Oct. 1969), 30-40.
	2	KAHANER, D.K. Private communication. See also Comparison of numerical quadrature formulas, LA-4137, Los Alamos Sci. Lab., Los Alamos, N.M., June 1969.
	3	J. N. Lyness, Notes on the Adaptive Simpson Quadrature Routine, Journal of the ACM (JACM), v.16 n.3, p.483-495, July 1969 [doi>10.1145/321526.321537]
	4	LYNESS, J .N . The effect of inadequate convergence criteria in automatic routines. CompuL J. 12 (1969), 279-281.
	5	William Marshall McKeeman, Algorithm 145: Adaptive numerical integration by Simpson's rule, Communications of the ACM, v.5 n.12, p.604, Dec. 1962 [doi>10.1145/355580.369102]
	6	Wm. M. McKeeman, Certification of algorithm 145: adaptive numerical integration by Simpson's rule, Communications of the ACM, v.6 n.4, p.167-168, April 1963 [doi>10.1145/366349.366535]
	7	W. M. McKeeman , Larry Tesler, Algorithm 182: nonrecursive adaptive integration, Communications of the ACM, v.6 n.6, p.315, June 1963 [doi>10.1145/366604.366640]
	8	William Marshall McKeeman, Algorithm 198: adaptive integration and multiple integration, Communications of the ACM, v.6 n.8, p.443-444, Aug. 1963 [doi>10.1145/366707.367550]

CITED BY 6

	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
	L. J. Gallaher, A multidimensional Monte Carlo quadrature with adaptive stratified sampling, Communications of the ACM, v.16 n.1, p.49-50, Jan. 1973
	N. Brenner, ACM Algorithm 467: Matrix Transposition in Place, Communications of the ACM, v.16 n.11, p.692-694, Nov. 1973
	F. N. Fritsch , D. K. Kahaner , J. N. Lyness, Double Integration Using One-Dimensional Adaptive Quadrature Routines: A Software Interface Problem, ACM Transactions on Mathematical Software (TOMS), v.7 n.1, p.46-75, March 1981
	John R. Rice, A Metalgorithm for Adaptive Quadrature, Journal of the ACM (JACM), v.22 n.1, p.61-82, Jan. 1975
	T. N. L. Patterson, Algorithm 468: algorithm for automatic numerical integration over a finite interval [D1], Communications of the ACM, v.16 n.11, p.694-699, Nov. 1973

INDEX TERMS

Keywords:
Simpson's rule, adaptive integration, adaptive quadrature, automatic integration, automatic quadrature, control, integration rule, numerical intergration, numerical quadrature, quadrature rule, round-off error

Collaborative Colleagues:

J. N. Lyness: colleagues

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