Double Integration Using One-Dimensional Adaptive Quadrature Routines: A Software Interface Problem

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Double Integration Using One-Dimensional Adaptive Quadrature Routines: A Software Interface Problem

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 7 , Issue 1 (March 1981) table of contents

Pages: 46 - 75

Year of Publication: 1981

ISSN:0098-3500

Authors

F. N. Fritsch	Lawrence Livermore Laboratory, Mathematics and Statistics Section, P.O. Box 808 (L-300), Livermore, CA
D. K. Kahaner	U.S. Department of Commerce, National Bureau of Standards, Scientific Computing Division, Division 713, Washington, DC
J. N. Lyness	Argonne National Laboratory, Applied Mathematics Division, 9700 South Cass Avenue, Argonne, IL

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ACM New York, NY, USA

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Downloads (6 Weeks): 7, Downloads (12 Months): 44, Citation Count: 1

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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	DAVIS, P.J., AND RABINOWITZ, P Methods of Numemcal Integratmn. Academic Press, New York, 1975, p. 243.
	2	George E. Forsythe , Michael A. Malcolm , Cleve B. Moler, Computer Methods for Mathematical Computations, Prentice Hall Professional Technical Reference, 1977
	3	KAHANER, D K. Comparison of numerical quadrature formulas. In MathematicalSoftware, J.R. Rice, Ed., Academic Press, New York, 1971, pp. 229-259.
	4	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]
	5	LYNESS, J N. The effect of inadequate convergence criteria in automatm routines. Computer J. 12 (1969), 279-281
	6	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]
	7	LYNsss, J N. An interface problem in numerical software. In Proc. 6th Manitoba Conf. Nurnerwal Mathematws. Utflltas Mathematma Pub. Inc., University of Manitoba, Winnipeg, Canada, 1977, pp. 251-263.
	8	J. N. Lyness , J. J. Kaganove, Comments on the Nature of Automatic Quadrature Routines, ACM Transactions on Mathematical Software (TOMS), v.2 n.1, p.65-81, March 1976 [doi>10.1145/355666.355671]
	9	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 [doi>10.1145/355637.355640]
	10	PIESSENS, R. An algorithm for automatic integratmn Angew Inf. 15 (1973), 399-403.
	11	John R. Rice, A Metalgorithm for Adaptive Quadrature, Journal of the ACM (JACM), v.22 n.1, p.61-82, Jan. 1975 [doi>10.1145/321864.321870]
	12	Lawrence F. Shampine , Richard C. Allen, Numerical Computing: An Introduction, Harcourt Brace College Publishers, 1973