The symbolic computation of differential invariants of polynomial vector field systems using trees

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The symbolic computation of differential invariants of polynomial vector field systems using trees

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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: 26 - 31

Year of Publication: 1995

ISBN:0-89791-699-9

Authors

M. J. Doffou	Laboratory for Advanced Computing, University of Illinois at Chicago
R. L. Grossman	Laboratory for Advanced Computing, University of Illinois at Chicago

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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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	P. E. Crouch , R. L. Grossman, The explicit computation of integration algorithms and first integrals for ordinary differential equations with polynomial coefficients using trees, Papers from the international symposium on Symbolic and algebraic computation, p.89-94, July 27-29, 1992, Berkeley, California, United States [doi>10.1145/143242.143277]
	2	M. J. Doffou, "Computing Differential Invariants Using Trees," Ph.D. Thesis, University of Illinois at Chicago, in preparation.
	3	R. Grossman and R. G. Larson, "Hopf-algebraic structure of families of trees," J. Algebra Volume 126, 1989, 184-210.
	4	Robert Grossman , Richard G. Larson, Symbolic computation of derivations using labelled trees, Journal of Symbolic Computation, v.13 n.5, p.511-523, May 1992
	5	R. L. Grossman and R. G. Larson, "R/k-bialgebras of trees," submitted for publication.
	6	R. L. Grossman, "Differential Invariants and Trees," in preparation.
	7	G. B. Gurevich, Foundations of the Theory of Algebraic Invariants, GITTL, Mosow and Leningrad, 1948.
	8	David Hilbert , Reinhard C. Laubenbacher , Bernd Sturmfels, Theory of algebraic invariants, Cambridge University Press, New York, NY, 1994
	9	W. Nichols and B. Weisfeiler, Differential formal groups of J. F. Ritt, American Journal Mathematics, Volume 104, 1982, pp. 943-1003.
	10	S. A. Joni and G.-C. Rota, Coalgebras and bialgebras in combinatorics, Studies in Applied Mathematics, Volume 61, 1979, pp. 93-139; reprinted in "Umbral Calculus and Hopf Algebras," American Mathematical Society, Providence, 1982, pp. 1-47.
	11	K. S. Sibirsky, Introduction to the Algebraic Theory of Invariants of Differential Equations, Manchester University Press, Manchester, 1982.
	12	K. S. Sibirsky and V. D. Taku, Algebraic Invariants of Many-Dimensional Differential Systems, Differentisial- Nyje Uravnenija, Volume 12, pp. 281-291, 1988.
	13	Bernd Sturmfels, Algorithms in invariant theory, Springer-Verlag New York, Inc., New York, NY, 1993