Solving linear ordinary differential equations over C (x, e∫ f(x)dx)

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Solving linear ordinary differential equations over C (x, e^{∫ f(x)dx})

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1999 international symposium on Symbolic and algebraic computation table of contents

Vancouver, British Columbia, Canada

Pages: 173 - 179

Year of Publication: 1999

ISBN:1-58113-073-2

Authors

Manuel Bronstein	INRJA, Projet CAPÉ, 2004 Route des Lucioles, BP 93, F-06902 Sophia Antipolis, Cedex
Anne Fredet	Laboratoire, GAGE, Ecole Polytechnique, F-91128 Palaiseau, Cedex

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 30, Citation Count: 3

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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	Sergei A. Abramov , Manuel Bronstein , Marko Petkovšek, On polynomial solutions of linear operator equations, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.290-296, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220384]
	2	S. A. Abramov , K. Yu. Kvansenko, Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients, Proceedings of the 1991 international symposium on Symbolic and algebraic computation, p.267-270, July 15-17, 1991, Bonn, West Germany [doi>10.1145/120694.120735]
	3	Manuel Bronstein, On solutions of linear ordinary differential equations in their coefficient field, Journal of Symbolic Computation, v.13 n.4, p.413-439, April 1992 [doi>10.1016/S0747-7171(08)80106-X]
	4	Manuel Bronstein, Symbolic integration I: transcendental functions, Springer-Verlag New York, Inc., New York, NY, 1997
	5	Manuel Bronstein , Thom Mulders , Jacques-Arthur Weil, On symmetric powers of differential operators, Proceedings of the 1997 international symposium on Symbolic and algebraic computation, p.156-163, July 21-23, 1997, Kihei, Maui, Hawaii, United States [doi>10.1145/258726.258771]
	6	J. H. Davenport , M. F. Singer, Elementary and Liouvillian solutions of linear differential equations, Journal of Symbolic Computation, v.2 n.3, p.237-260, Sept. 1986 [doi>10.1016/S0747-7171(86)80026-8]
	7	Keith O. Geddes , Stephen R. Czapor , George Labahn, Algorithms for computer algebra, Kluwer Academic Publishers, Norwell, MA, 1992
	8	Jerald J. Kovacic, An algorithm for solving second order linear homogeneous differential equations, Journal of Symbolic Computation, v.2 n.1, p.3-43, March 1986 [doi>10.1006/jsco.1998.0266]
	9	Michael F. Singer, Liouvillian solutions of linear differential equations with Liouvillian coefficients, Journal of Symbolic Computation, v.11 n.3, p.251-273, March 1991 [doi>10.1016/S0747-7171(08)80048-X]
	10	Felix Ulmer , Jacques-Arthur Weil, Note on Kovacic's algorithm, Journal of Symbolic Computation, v.22 n.2, p.179-200, August 1996 [doi>10.1006/jsco.1996.0047]

CITED BY 3

	Anne Fredet, Linear differential equations, iterative logarithms and orderings on monomial differential extensions, Proceedings of the 2000 international symposium on Symbolic and algebraic computation, p.121-128, July 2000, St. Andrews, Scotland
	Ruyong Feng , Xiao-shan Gao, Rational general solutions of algebraic ordinary differential equations, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.155-162, July 04-07, 2004, Santander, Spain
	M. van Hoeij , J.-A. Weil, Solving second order linear differential equations with Klein's theorem, Proceedings of the 2005 international symposium on Symbolic and algebraic computation, p.340-347, July 24-27, 2005, Beijing, China