Symmetries of 2nd and 3rd order ODE's

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Symmetries of 2nd and 3rd order ODE's

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1995 international symposium on Symbolic and algebraic computation table of contents

Montreal, Quebec, Canada

Pages: 16 - 25

Year of Publication: 1995

ISBN:0-89791-699-9

Author

Fritz Schwarz

GMD, Institut SCAI, Postfach 1316, 53739 Sankt Augustin, Germany

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): 4, Downloads (12 Months): 13, Citation Count: 1

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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	S. Lie, Vorlesungen iiber continuierliche Gruppen, Teubner, Leipzig, 1883; reprinted by Chelsea Publishing Company, New York, 1971.
	2	P. Olver, Applications of Lie groups to Differential Equations, Graduate Texts in Mathematics, Springer, 1986.
	3	G. Bluman and S. Kumei, Symmetries and Differential Equations, Applied Mathematical Sciences 81, Springer, 1989.
	4	F. Schwarz, Symmetries of Differential Equations: From Sophus Lie to Computer Algebra, SIAM Review 30, 450-481 (1988).
	5	W. Hereman, Review of Symbolic Software .for the Computation of Lie Symmetries of Differential Equations, Euromath Bulletin 1, 45-79(1994).
	6	S. Lie, Klassifikation und Integration yon gewShnlichen Differentialgleichungen zwischen x, y, die eine Gruppe yon Transformationen gestatten. I, Mathematische Annalen 32, 213-253 (1888).
	7	F. Schwarz, An Algorithm .for Determining the Size of Symmetry Groups, Computing 49, 95-115(1992).
	8	G. Reid Algorithms for Reducing a System of PDE's to Standard Form, Euro. Jnl. of Applied Mathematics 2, 293-318(1991).
	9	E. Kamke, Differentialgteichungen, L5sungen und Lb'sungsmethoden I, Akademische Verlagsgesellschaft, Leipzig, 1967,
	10	F. Schwarz, Algorithmic Lie Theory, to appear.
	11	A. Tresse, Ddtermination des Invariants ponctuel de l'Equation diffdrentielle ordinaire du second ordre: y" = w(x, y, y'), Preisschriften der fiirstlich Jablonowski'schen Gesellschaft, Hirzel, Leipzig, 1896.