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MapleTensor: progress report on a new system for performing indicial and component tensor calculations using symbolic computation
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Proceedings of the 1996 international symposium on Symbolic and algebraic computation table of contents
Zurich, Switzerland
Pages: 204 - 211  
Year of Publication: 1996
ISBN:0-89791-796-0
Authors
Masoud Kavian  Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
R. G. McLenaghan  Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
K. O. Geddes  Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
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): 21,   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
A. COLEY, C. C. D., AND TUPPER, B. A pair of computer algebra systems for general relativity, in Proceedings of Second Canadian Conference on General Relativity ~ Relativistic Astrophysics (1987), pp. 144,147.
 
2
AMAN, J. E., AND KARLHEDE, A. A computer-aided complete classification of geometries in general relativity. first results. Physics Letters A, 80 (1980), 229-231.
3
 
4
BOGEN, R., AND PAVELLE, R. In Proceedings of the 1977 MA CSYMA User's Conference (NASA, Washington, 1977), p. 75,
 
5
 
6
CARMINATI, J., AND MCLENAGHAN, m. G. Algebraic invariants of the riemann tensor in a four-dimensional lorentzian space. J. Math. Phys. 32, 11 (1991), 3135.
 
7
 
8
CHRISTENSEN, S., AND PARKER, L. Mathtensor: A system for doing tensor analysis by computer. Mathematical Journal, 1 (1990), 51.
 
9
CHU, K., FARELL, C. E., FEE, G. J., AND MCLE- NAGHAN, R. G~ General relativity calculations in maple. In Proceeding o/ the 6th Canadian Conference on General Relativity ~ Relatiwst~c Astrophysics (University of New Brunswick, 1995).
 
10
D'INVERNO, ~. A., AND RUSSELL-CLARK, m. A. Cornput. J., 17 (1971), 229.
 
11
EISENHART, L. P. Riemann~an Geometry. Princeton University Press, 1925.
 
12
ELLIS, G. F. R., ET AL. Cargese lectures in Physics. Gordon and Beach Science Publishers, 1973.
 
13
FLANDERS, H. Differential forms, with applications to the physical sczences. Academic Press, New York, 1963.
 
14
FalCK, I. Sheep user's guide. Tech. rep., University of Stockholm Institute of Theoretical Physics report, 1977.
 
15
HORNFELDT, L. Stensor reference manual, version 2.3. Tech. rep., Univ. of Stockholm, Dept. of Theor. Phys., 1988.
 
16
KAVIAN, M. Tensor computation on computer algebra systems. Master's thesis, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada, 1994.
 
17
KAVIAN, M., MCLENAGHAN, R. G., AND GEDDES, K. O. Mapletensor: A new system for performing indicial and component tensor calculations by computer. In Proceeding of the 7th Marcel Grossman Conference (Singapore, 1995), W. Scientific, Ed. in press.
 
18
KAVIAN, M., MCLENAGHAN, m. G., AND GEDDES, K. O. Mapletensor: A new system for performing indicial and component tensor calculations by computer. In Proceeding of the 6th Canadian Conference on General Relativity ~ Relativistic Astrophysics (University of New Brunswick, 1995).
 
19
KAVIAN, M., M:CLENAGHAN, R. G., AND GEDDES, K.O. Mapletensor: A new system for performing indicial and component tensor calculations by computer. In Proceeding of the 14th International Conference on General Relativity and Gravitatzon (Florence, Italy, 1995).
 
20
KLIONER, S. A. A mathematica package for tensorial calculations in astronomical applications of relativistic ~re~v~;y Jclxeor~e~. In P~o~eed~g of ~h~ I4~h Inta~at~o~al Conference on General Relativity and Grawtation (Florence, Italy, 1995).
 
21
KRAMER, D., STEPHANI, H., HERLT, E., AND MAC- CALLUM, M. Exact Solutions of Einstein's Field Equations. Cambridge University Press, Cambridge, 1980.
 
22
LAKE, K., ~~IUSGRAVE, P., AND POLLNEY, D. GRTensot II, Component Tensor Calculations for General Retatiwty. Queen's University, Dept. of Physics, 1994.
 
23
LANDAU, L. D. The classical theory offields. Pergamon Press, 1979.
 
24
LEE, J. M. A Mathematica Package for doing Tensor Calculations in Differential Geometry. Department of Mathematics, GN-50, University of Washington, Seattle, WA 98195, 1995.
 
25
MCLENAGHAN, a. G. On the validity of huygens' principle for second order partial differential equations with four independent variables, part i: Derivation of necessaxy conditions. Ann. inst. Henri Poincard, 20 (1974), 153-188.
 
26
SOLENG, H. H. The tensor algebra package CAR- TAN. In Proceeding of the 14th International Conference on General Relativity and Gravitation (Florence, Italy, 1995).
 
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Collaborative Colleagues:
Masoud Kavian: colleagues
R. G. McLenaghan: colleagues
K. O. Geddes: colleagues