Certification of algorithm 700 numerical tests of the SLEIGN software for Sturm-Liouville problems

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Certification of algorithm 700 numerical tests of the SLEIGN software for Sturm-Liouville problems

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 17 , Issue 4 (December 1991) table of contents

Pages: 481 - 490

Year of Publication: 1991

ISSN:0098-3500

Author

Marco Marletta

Computational and Applied Mathematics Group, Royal Military College of Science, Shrivenham, Swindon Wilts SN6 8LA, U.K.

Publisher

ACM New York, NY, USA

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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	BAILEY, P.B., GORDON, M K., AND SHAMPINE, L.F. Solving Sturm Liouville eigenvalue problems Sandia Laboratories Rep SAND76-0560, 1976.
	2	BROWN, B.M., KIRBY, V G., AND PRYCE, J.D. Numerical determination of the Titchmarsh-Weyl m-coefficient and its applications to HELP inequalities. In Proceedings of the Royal Society London A. 426, 870 (Nov. 1989), 167-188.
	3	ENRIGHT, W H., AND HULL, T. E Test results on imtial value methods for nonstiff ordinary differential equations. SIAM J. Numer. Anal. 13, 6 (Dec 1976), 944-961
	4	FULTOn, C. T, AND PRUESS, S. Mathematical software for Sturm-Liouville problems. NSF Final Report for Grants DMS88 and DMS88-00839.
	5	PRUESS, S Estimating the eigenvalues of Sturm-Liouvilte problems by approximating the differential equation. SIAM J Numer. Anal. 10, 1 (Mar. 1973), 55-68
	6	SHAMPINE, L.F. Diagnosing stliIness for rtunge-Kutta methods. Southern Methodist Umv. Math Rep. 88-8, 1988.
	7	SHAMPINE, L. F., AND GLADWELL, I. The next generation of Runge-Kutta codes. In Proceedings of the IMA Conference on Computatwnal Solution of O. D. E.'s (Imperial College, London, 1989), to be published by OUP
	8	PRYC~, J. D. The NAG Sturm-Liouville codes and some applications. NAG Newsl 3, 86 (Dec. 1986), 4-26.