An algorithm for complete enumeration of all factorizations of a linear ordinary differential operator

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An algorithm for complete enumeration of all factorizations of a linear ordinary differential operator

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1996 international symposium on Symbolic and algebraic computation table of contents

Zurich, Switzerland

Pages: 226 - 231

Year of Publication: 1996

ISBN:0-89791-796-0

Author

S. P. Tsarev

Department of Mathematics, Krasnoyarsk State Pedagogical University, Lebedevoi, 89, 660049, Krasnoyarsk, Russia

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

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Downloads (6 Weeks): 7, Downloads (12 Months): 24, Citation Count: 9

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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.

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CITED BY 9

	S. P. Tsarev, On factorization of nonlinear ordinary differential equations, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.159-164, July 28-31, 1999, Vancouver, British Columbia, Canada
	S. P. Tsarev, Symbolic manipulation of integrodifferential expressions and factorization of linear ordinary differential operators over transcendental extensions of a differential field, Proceedings of the 1997 international symposium on Symbolic and algebraic computation, p.310-315, July 21-23, 1997, Kihei, Maui, Hawaii, United States
	Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003
	A. Ronveaux, Factorization of the Heun's differential operator, Applied Mathematics and Computation, v.141 n.1, p.177-184, 20 August 2003
	Xiao-Shan Gao , Mingbo Zhang, Decomposition of differential polynomials with constant coefficients, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.175-182, July 04-07, 2004, Santander, Spain
	M. V. Sosnin, An Algorithm for Nonparametric Decomposition of Differential Polynomials, Programming and Computing Software, v.27 n.1, p.43-49, January-February 2001
	A. V. Purgin, Lattices of right divisors of linear ordinary differential operators, Programming and Computing Software, v.32 n.2, p.90-95, March 2006
	Markus Rosenkranz , Georg Regensburger, Solving and factoring boundary problems for linear ordinary differential equations in differential algebras, Journal of Symbolic Computation, v.43 n.8, p.515-544, August, 2008
	A. V. Purgin, Distributive lattices of right divisors of linear ordinary differential operators, Programming and Computing Software, v.35 n.2, p.98-104, March 2009