Janet bases of 2nd order ordinary differential equations

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Janet bases of 2nd order ordinary differential equations

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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: 179 - 188

Year of Publication: 1996

ISBN:0-89791-796-0

Author

Fritz Schwarz

GMD, Institut SCAI, 53754 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

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 10, Citation Count: 2

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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	C. GRISSOM, G. THOMSON, G. W. Linearization of second order ordinary differential equations via cartan's equivalence method. Journal of Differential Equatwns 77 (1989), 1-15.
	2	F. M. MAHOMED, P. G. L. Symmetry lie algebras of nth order ordinary differential equations. Journal of Mathematical Analysis and Applications 151 (1990), 80-107.
	3	J. KRAUSE, L. M. I~,quations diff@rentielles lin@aires d'ordre n > 2 ayant une alg@bre de lie de symetrie de dimension n+4. C. R. Acad. Sc~. Paris 30"2' (1988), 905-910.
	4	KAMKE, E. Differentialgle~chungen: LSsungsmethoden und Ld'sungen. Akademische Verlagsgesellschaft, Leipzig, 1967.
	5	LIE, S. Vorlesungen iiber continuierliche Gruppen. Teubner, Leipzig, 1883. reprinted by Chelsea Publishing Company 1971.
	6	SCHWARZ, F. Algorithmic lie theory for solving ordinary differential equaytions, to appear.
	7	F. Schwarz, On 3rd order ordinary differential equations with maximal symmetry group, Computing, v.57 n.3, p.273-280, 1996 [doi>10.1007/BF02247410]
	8	SCHWARZ, F. Aa algorithm for determining the size of symmetry groups. Computing ~9 (1992), 95-115.
	9	Fritz Schwarz, Symmetries of 2nd and 3rd order ODE's, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.16-25, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220349]
	10	S.LIE. Klassifikation und integration von gewShnlichen differentialgleichungen zwischen x, y, die eine gruppe von transformationen gestatten. Arch. for Math. VIII (1883), 371-458. see also Gesammelte Abhandlungen, vol. V, Teubner, Leipzig, page 362-427.

CITED BY 2

	Gregory J. Reid , Allan D. Wittkopf, Determination of maximal symmetry groups of classes of differential equations, Proceedings of the 2000 international symposium on Symbolic and algebraic computation, p.272-280, July 2000, St. Andrews, Scotland
	Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003