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Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs
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Source International Conference on Symbolic and Algebraic Computation archive
Papers from the international symposium on Symbolic and algebraic computation table of contents
Berkeley, California, United States
Pages: 63 - 68  
Year of Publication: 1992
ISBN:0-89791-489-9
Authors
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): 3,   Downloads (12 Months): 13,   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.

 
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L. V. Ovsiannikov, Group Analysis of Differential Equations (Academic Press, New York, 1982).
 
2
G. W. Bluman and S. Kumei, Symmetries and Differential Equations (Springer-Verlag, New York, 1989).
 
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F. Schwarz, Computing 34, 91 (1985).
 
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P. H. M. Kersten, Infinitesimal Symmetries: A Computational Approach, CWI Tracts 34 ( Centre for Mathematics and Computer Science, Amsterdam, the Netherlands, 1987).
 
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T. Wolf, Proc. EUROCAL 87, Lect. Notes in Comp. Sci. 378 (1989).
 
6
B. Champagne, W. Hereman and P. Wimernitz, Comp. Phys. Com. 66, 319 (1991).
 
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G. J. Reid, J. Phys. A: Math. Gen. 23, L853 (1990).
 
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G. J. Reid, Eur. J. of Appl. Math., 2(4), 293 (1991).
 
9
M. Janet, J. Math. 3, 65 (1920).
 
10
j.F. Pommaret, Equations aux dgrivdes partielles et thgorie des groupes (Institute National de Recherche en Informatique et en Automatique, Roquencourt, 1990).
 
11
E Schwarz, Physica llD, 243 (1984).
 
12
A. V. Bocharov and M. L. Bronstein, Acta Applicandae Mathematicae 16, 143 (1989).
 
13
E. V. Pankrat'ev, Acta Applicandae Mathematicae 16, 167 (1989).
 
14
V. L. Topunov, Acta Applicandae Mathematicae 16, 191 (1989).
 
15
E. Mansfield, Differential Grb'bner Bases, Ph.D Thesis (University of Sydney, 1991).
 
16
E Schwarz, An algorithm for determining lhe size of symmetry groups, submitted.
17
 
18
G. J. Reid, Eur. J. of Appl. Math., 2(4), 319 (1991).
 
19
D. W. Rand, P. Wintemitz and H. Zassenhaus, Lin. Alg. and its Applications, 109, 197 (1988).
 
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J. Rubin and P. Wintemitz, J. Math. Phys. 31 (9), (1990).
 
21
E. Cartan, Les syst~mes diffdrenliels extdrieurs el leurs applications gdomdtriques, (Paris, Hermann, 1945).


Collaborative Colleagues:
G. J. Reid: colleagues
I. G. Lisle: colleagues
A. Boulton: colleagues
A. D. Wittkopf: colleagues