A Transformed implicit Runge-Kutta Method

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A Transformed implicit Runge-Kutta Method

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Journal of the ACM (JACM) archive
Volume 26 , Issue 4 (October 1979) table of contents

Pages: 731 - 738

Year of Publication: 1979

ISSN:0004-5411

Author

J. C. Butcher

Department of Mathematics, University of Auckland, Auckland, New Zealand

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 9, Downloads (12 Months): 38, Citation Count: 5

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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	BURRAGE, K. A special famdy of Runge-Kutta methods for solving surf differential equations. BIT 18 (1978), 22-41
	2	BUTCHER, J C On the implementation of tmphc~t Runge-Kutta methods BIT 16 (1976), 237-240
	3	FRANK, R, AND UEBERHUBER, C W. Iterated defect correctton for the effictent soluuon of staff systems of ordinary dlfferenUal equations BIT 17 (1977), 146-159
	4	NORSETT, S P Seml-exphclt Runge-Kutta methods Rep 6/74, Dept of Math, U ofTrondhe~m, Trondhe~m, Norway, 1974
	5	WOLFBRANDT, A A study of Rosenbrock processes with respect to order condmons and sttff stabd~ty Rep 77 01, Dept Comptr Sci, Chalmers Inst. of Technology, Goteborg, Sweden, 1977

CITED BY 5

	J. C. Butcher , J. R. Cash , M. T. Diamantakis, DESI methods for stiff initial-value problems, ACM Transactions on Mathematical Software (TOMS), v.22 n.4, p.401-422, Dec. 1996
	L. F. Shampine, Implementation of Rosenbrock Methods, ACM Transactions on Mathematical Software (TOMS), v.8 n.2, p.93-113, June 1982
	J. C. Butcher, Towards efficient implementation of singly-implicit methods, ACM Transactions on Mathematical Software (TOMS), v.14 n.1, p.68-75, March 1988
	Gopal K. Gupta , Ron Sacks-Davis , Peter E. Tescher, A review of recent developments in solving ODEs, ACM Computing Surveys (CSUR), v.17 n.1, p.5-47, March 1985
	J. C. Butcher , W. M. Wright, Applications of doubly companion matrices, Applied Numerical Mathematics, v.56 n.3, p.358-373, March 2006