Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/236869.237075acmconferencesArticle/Chapter ViewAbstractPublication PagesissacConference Proceedingsconference-collections
Article
Free access

MapleTensor: progress report on a new system for performing indicial and component tensor calculations using symbolic computation

Published: 01 October 1996 Publication History
First page of PDF

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]
AMAN, J. E., AND KARLHEDE, A. An algorithmic classification of geometries in general relativity. In Proceedings of the 1981 A CM symposium on Symbolic and Algebraic Computation (1981), p. 79.
[4]
BOGEN, R., AND PAVELLE, R. In Proceedings of the 1977 MA CSYMA User's Conference (NASA, Washington, 1977), p. 75,
[5]
BUDD, T. A. Classic Data Structures in C++. Addison Wesley, 1994.
[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]
CHAR, B. W., GEDDES, K. O., GONNET, G. H., LEONG, B. L., MONAGAN, M. B., AND WATT, S. M. Maple V, First Leaves: A Tutorial Introduction. Springer-Verlag, 1992.
[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).
[27]
STP.OUSTRUP, B. The C++ programming language. Addison-Wesley, 1991.

Cited By

View all
  • (2018)Computer algebra in gravity researchLiving Reviews in Relativity10.1007/s41114-018-0015-621:1Online publication date: 20-Aug-2018
  • (2011)ForewordJournal of Symbolic Computation10.1016/j.jsc.2010.08.00946:7(735-740)Online publication date: 1-Jul-2011
  • (1997)Application of genetic algorithms to the algebraic simplification of tensor polynomialsProceedings of the 1997 international symposium on Symbolic and algebraic computation10.1145/258726.258759(93-100)Online publication date: 1-Jul-1997

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
ISSAC '96: Proceedings of the 1996 international symposium on Symbolic and algebraic computation
October 1996
318 pages
ISBN:0897917960
DOI:10.1145/236869
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 1996

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Article

Conference

ISSAC96
Sponsor:

Acceptance Rates

ISSAC '96 Paper Acceptance Rate 41 of 121 submissions, 34%;
Overall Acceptance Rate 395 of 838 submissions, 47%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)71
  • Downloads (Last 6 weeks)7
Reflects downloads up to 30 Jan 2025

Other Metrics

Citations

Cited By

View all
  • (2018)Computer algebra in gravity researchLiving Reviews in Relativity10.1007/s41114-018-0015-621:1Online publication date: 20-Aug-2018
  • (2011)ForewordJournal of Symbolic Computation10.1016/j.jsc.2010.08.00946:7(735-740)Online publication date: 1-Jul-2011
  • (1997)Application of genetic algorithms to the algebraic simplification of tensor polynomialsProceedings of the 1997 international symposium on Symbolic and algebraic computation10.1145/258726.258759(93-100)Online publication date: 1-Jul-1997

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Login options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media