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Some symbolic computing links to the NAG numeric library

Authors:

K. A. Broughan,

M. G. Richardson,

M. C. DewarAuthors Info & Claims

ACM SIGSAM Bulletin, Volume 25, Issue 3

Pages 28 - 37

https://doi.org/10.1145/122514.122518

Published: 01 July 1991 Publication History

Abstract

This article is a semi-popular account intended to help readers compare the three products, SENAC, InterCall and IRENA. Each of the three is in the genre specified in the title of this paper. This article is not a review, as the authors are too closely associated with individual products. For technical detail, see the references below, which, however, treat individual products and generally provide no comparisons.

References

[1]

Broughan, K. A. A symbolic numeric interface for the NAG library, Newsletter of the Numerical Algorithms Group, (August 1986), 16--24.

[2]

Broughan, K. A. Naglink - a working symbolic/numeric interface. In IFIP TC 2/W.G.2.5 Working Conference on Problem Solving Environments for Scientific Computing, B. Ford and F. Chatelin Eds. Elsevier, Amsterdam, (1987), 343--350.

[3]

Broughan, K. A. Interactive Access to subroutine libraries: an interlink for SENAC. In Proceedings of the International Conference on Compuational Techniques and Applications, CTAC-89, J. Horvath, Ed. Hemisphere, Washington, (1990).

[4]

Broughan, K. A. SENAC: A high level interface for the NAG library, ACM Transactions on Mathematical Software. (To appear, 1991).

Digital Library

[5]

Broughan, K. A. Symbolic numeric software system SENAC launched, NAG Newsletter. (To appear, 1991).

[6]

Broughan, K. A. and Shou, W. C. The Risch algorithm of Macsyma and of SENAC. SIGSAM Bulletin, (July 1989), 19--22.

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[7]

Davenport, J. H., Dewar, M. C. and Richardson, M. G. Symbolic and numeric computation: the example of IRENA. Proceedings of the Sartoga Springs Workshop, 1990 (To appear, 1991).

[8]

Dewar, M. C. IRENA - an integrated symbolic and numeric computation environment. In Proceedings ISSAC-89, Portland, U.S.A., July 1989. (Academic Press: 1990).

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[9]

Dewar, M. C. Interfacing algebraic and numeric computation. (University of Bath Ph.D. thesis: 1991).

Digital Library

[10]

Dewar, M. C. and Richardson, M. G. Reconciling symbolic and numeric computing in a practical setting. In Proceedings DISCO-90 - International Symposium on Design and Implementation of Symbolic Computation Systems, Miola, A. (ed.). Springer Lecture Notes in Computer Science, 429, pp. 195--204. (Springer: 1990).

[11]

Gates, B. L. GENTRAN: An automatic code generation facility for Reduce. ACM SIGSAM Bulletin, 19(3), 24--42. (August 1985).

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[12]

Gates, B. L. GENTRAN: A numerical code generation facility for Reduce. In Proceedings of SYMSAC 1986, pp. 94--99. (ACM: 1986).

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[13]

Gates, B. L. The GENTRAN User's Manual: REDUCE Version. (The RAND Corporation: 1987).

[14]

Kant, E., Daube, F., MacGregor, W. and Wald, J. MathCode: a code generation package for Mathematica. Report, Schlumberger Laboratory for Computer Science, Austin, Texas, U.S.A. (Draft: 23/9/1990).

[15]

Keady, G. The SENAC Mathematical Software from Waikato. New Zealand Mathematical Society Newsletter, 46 (1989a), 11--15.

[16]

Keady, G. The torsion problem in a lens: a case-study in symbolic-numeric computation using SENAC. University of Waikato Department of Mathematics and Statistics, Research Report No. 191, (1989b).

[17]

Keady, G. SENAC: more than symbolic computing. SIAM News, (July 1990), 22--23.

[18]

Keady, G. SENAC and other symbolic front-ends for subsequent numeric computation: nonlinear systems and optimisation case studies. Parts I to IV. University of Waikato Department of Mathematics and Statistics, Research Reports, (1991).

[19]

Khera, V. and Greenside, H. An interface for accessing external numeric libraries. Mathematica Journal, 1 (1990), 84--88.

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[20]

Punjani, M. and Broughan, K. A. SENAC - Computer Based Algebra and NAG, ULCC News 247, (1990), 12--15.

[21]

Richardson, M. G. The IRENA Project. NAG Newsletter 1 (1990).

[22]

Robb, T. D. InterCall Manual. (1991).

[23]

van Hulzen, J. A., Hulshof, B. J. A., Gates, B. L. and van Heerwaarden, M. C. A code optimization package for REDUCE. In Proceedings of ISSAC 1989, pp. 163--170. (ACM: 1989)

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Cited By

Calvert BKeady G(2009)Braess's paradox and power-law nonlinearities in networksThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics10.1017/S033427000000725635:01(1)Online publication date: 17-Feb-2009
https://doi.org/10.1017/S0334270000007256
Dupée BDavenport J(2005)An intelligent interface to numerical routinesDesign and Implementation of Symbolic Computation Systems10.1007/3-540-61697-7_26(252-262)Online publication date: 3-Jun-2005
https://doi.org/10.1007/3-540-61697-7_26
Clarkson M(2005)Intelligent user interfaces for symbolic and numeric computationArtificial Intelligence and Symbolic Mathematical Computing10.1007/3-540-57322-4_6(96-106)Online publication date: 31-May-2005
https://doi.org/10.1007/3-540-57322-4_6
Show More Cited By

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Some symbolic computing links to the NAG numeric library

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Information & Contributors

Information

Published In

cover image ACM SIGSAM Bulletin

ACM SIGSAM Bulletin Volume 25, Issue 3

July 1991

45 pages

ISSN:0163-5824

DOI:10.1145/122514

Editor:
Franz Winkler
Johannes Kepler Univ., Linz,, Austria

Issue’s Table of Contents

Copyright © 1991 Authors.

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 July 1991

Published in SIGSAM Volume 25, Issue 3

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Citations

Cited By

Calvert BKeady G(2009)Braess's paradox and power-law nonlinearities in networksThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics10.1017/S033427000000725635:01(1)Online publication date: 17-Feb-2009
https://doi.org/10.1017/S0334270000007256
Dupée BDavenport J(2005)An intelligent interface to numerical routinesDesign and Implementation of Symbolic Computation Systems10.1007/3-540-61697-7_26(252-262)Online publication date: 3-Jun-2005
https://doi.org/10.1007/3-540-61697-7_26
Clarkson M(2005)Intelligent user interfaces for symbolic and numeric computationArtificial Intelligence and Symbolic Mathematical Computing10.1007/3-540-57322-4_6(96-106)Online publication date: 31-May-2005
https://doi.org/10.1007/3-540-57322-4_6
Grabmeier JKaltofen EWeispfenning V(2003)Cited ReferencesComputer algebra handbook10.5555/940131.940137(493-622)Online publication date: 1-Jan-2003
https://dl.acm.org/doi/10.5555/940131.940137
Dupée BDavenport J(1999)An Automatic Symbolic-Numeric Taylor Series ODE SolverComputer Algebra in Scientific Computing CASC’9910.1007/978-3-642-60218-4_3(37-50)Online publication date: 1999
https://doi.org/10.1007/978-3-642-60218-4_3
Ioakimidis NAnastasselou E(1996)Annihilation of loading parameters in classical numerical methods with differential equationsComputers & Structures10.1016/0045-7949(95)00257-X59:2(265-271)Online publication date: Apr-1996
https://doi.org/10.1016/0045-7949(95)00257-X
Fateman RBroughan KWillcock DRettig D(1995)Fast floating-point processing in Common LispACM Transactions on Mathematical Software10.1145/200979.20098921:1(26-62)Online publication date: 1-Mar-1995
https://dl.acm.org/doi/10.1145/200979.200989
Keady GRichardson M(1993)An application of IRENA to systems of nonlinear equations arising in equilibrium flows in networks.Proceedings of the 1993 international symposium on Symbolic and algebraic computation10.1145/164081.164145(311-320)Online publication date: 1-Aug-1993
https://dl.acm.org/doi/10.1145/164081.164145
Ioakimidis N(1992)Application of mathematica to the direct semi-numerical solution of finite element problemsComputers & Structures10.1016/0045-7949(92)90043-Y45:5-6(833-839)Online publication date: Dec-1992
https://doi.org/10.1016/0045-7949(92)90043-Y

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