Algorithm 687: a decision tree for the numerical solution of initial value ordinary differential equations

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Algorithm 687: a decision tree for the numerical solution of initial value ordinary differential equations

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 17 , Issue 1 (March 1991) table of contents

Pages: 1 - 10

Year of Publication: 1991

ISSN:0098-3500

Authors

C. A. Addison	Michelsen Institute, Bergen
W. H. Enright	Univ. of Toronto, Toronto, Ontario, Canada
P. W. Gaffney	Bergen Scientific Centre, IBM
I. Gladwell	Univ. of Manchester, Manchester, UK
P. M. Hanson	Michelsen Institute, Bergen

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 1, Downloads (12 Months): 25, Citation Count: 6

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appendices and supplements references cited by index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

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decision tree for initial value ode
Gams: i1

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	ADDISON, C. A., ENRIGHT, W. H., GAFFNEY, P. W, GLADWELL, I., AND HANSON, P M. A decision tree for the numerical solution of initial value ordinary differential equations. Chr. Michelsen Institute~ Computer Science Rep. 86/3, revised version.
	2	ADDISON, C. A., ENRIGHT, W. H., GAFFNEY, P. W., GLADWELL, I.. AND HANSON, P. M A decision tree for the numerical solution of boundary value ordinary differential equations. SMU Math. Rep. 89/10.
	3	R. W. Brankin , I. Gladwell , J. R. Dormand , P. J. Prince , W. L. Seward, Algorithm 670: a Runge-Kutta-Nyström code, ACM Transactions on Mathematical Software (TOMS), v.15 n.1, p.31-40, March 1989 [doi>10.1145/62038.69650]
	4	Wayne R. Cowell, Sources and development of mathematical software, Prentice-Hall, Inc., Upper Saddle River, NJ, 1984
	5	DORMAND, J. R., EL-MIKKAWY, M E. A, AND PRINCE, P J. Families of Runge-Kutta- NystrSm formulae. IMA J. Numer. Anal. 7 (1987), 235-250
	6	FINE, J.M. Low order Runge-Kutta-NystrSm methods with interpolants. Univ. of Toronto, Dept. of Computer Sci Tech. Rep. 183/85, 1985.
	7	P. W. Gaffney , C. A. Addison , B. Andersen , S. Bjørnestad , R. E. England , P. M. Hanson , R. Pickering , M. G. Thomason, NEXUS: towards a problem solving environment (PSE) for scientific computing, ACM SIGNUM Newsletter, v.21 n.3, p.13-24, July 1986 [doi>10.1145/1057958.1057961]
	8	P. W. Gaffney , J. W. Wooter , K. A. Kessel , W. R. McKinney, NITPACK: An Interactive Tree Package, ACM Transactions on Mathematical Software (TOMS), v.9 n.4, p.395-417, Dec. 1983 [doi>10.1145/356056.356058]
	9	P. W. Gaffney , J. Wooten and K. A. Kessel and W. R. McKinney, Algorithm 606: NITPACK: An Interactive Tree Package, ACM Transactions on Mathematical Software (TOMS), v.9 n.4, p.418-426, Dec. 1983 [doi>10.1145/356056.356059]
	10	HALL, G , AND WATT, J. M., EDS.. Modern Numerical Methods for Ordinary Differentml Equattons. Clarendon Press, Oxford, 1976.
	11	HAmER, E., NORSETT, S P., AND WANNER, G Solving Ordinary Dzfferential Equations I Springer-Verlag, Berlin, 1987
	12	SHAMPONE, L.F. Type-insensitive ODE codes based on implicit A-stable formulas. Math Comput. 36 (1981), 499-510.

CITED BY 6

	Michael Lucks , Ian Gladwell, Automated selection of mathematical software, ACM Transactions on Mathematical Software (TOMS), v.18 n.1, p.11-34, March 1992
	M. S. Kamel , W. H. Enright , K. S. Ma, ODEXPERT: an expert system to select numerical solvers for initial value ODE systems, ACM Transactions on Mathematical Software (TOMS), v.19 n.1, p.44-62, March 1993
	Naren Ramakrishnan , Raúl E. Valdés-Pérez, Note on generalization in experimental algorithmics, ACM Transactions on Mathematical Software (TOMS), v.26 n.4, p.568-580, Dec. 2000
	Naren Ramakrishnan , Calvin J. Ribbens, Mining and visualizing recommendation spaces for elliptic PDEs with continuous attributes, ACM Transactions on Mathematical Software (TOMS), v.26 n.2, p.254-273, June 2000
	Naren Ramakrishnan , Calvin J. Ribbens, Mining and visualizing recommendation spaces for PDE solvers: the continuous attributes case, Computational science, mathematics and software, Purdue University Press, West Lafayette, IN, 2002
	Peter Bunus, A Simulation and Decision Framework for Selection of Numerical Solvers in, Proceedings of the 39th annual Symposium on Simulation, p.178-187, April 02-06, 2006