Abstract
There is at present a need and demand for problem solving environments which use current technology and ideas from artificial intelligence to provide a user with support and assistance in the use of mathematical software. After a general introduction we discuss, with particular reference to an expert system called NAXPERT, how artificial intelligence techniques may be able to make a contribution in this area.
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References
J. S. Bennet and R. S. Englemore. SACON — A knowledge-based consultant for structural analysis. 6th Joint International Conference on Artificial Intelligence. Tokyo, Japan, pp. 47–49, 1979.
R. P. Boisvert, S. E. Howe, and D. J. Kahaner. GAMS: A framework for the management of scientific software. ACM Trans. Math. Software, 11:313–356, 1985.
A. Bundy. The Computer Modelling of Mathematical Reasoning. Academic Press, London, 1983.
A. Bundy, L. Byrd, G. Luger, C. Mellish, R. Milne and M. Palmer. Mecho: A program to solve mechanics problems. Working Paper 50, Department of Artificial Intelligence, University of Edinburgh, 1979.
C. Chang and R. C. Lee. Symbolic Logic and Mechanical Theorem Proving. Academic Press, New York, 1973.
W. J. Cody. Observations on the mathematical software effort. In Sources and Development of Mathematical Software, W. E. Cowell, ed., Prentice-Hall, Englewood Cliffs, N.J., pp. 1–19, 1984.
J. Corones. SLADOC-“Expert” assistance for users of SLATEC routines. SIAM News, 21,No. 3:20–21, 1988.
W. R. Cowell. Sources and Development of Mathematical Software. Prentice-Hall, Englewood Cliffs, N.J., 1984.
R. Davis and D. B. Lenat. Knowledge-based Systems in Artificial Intelligence. McGraw-Hill, New York, 1982.
B. Ford and R. M. Iles. The what and why of problem solving environments for scientific computing. In Problem Solving Environments for Scientific Computing, B. Ford and F. Chatelin, eds., North-Holland, Amsterdam, pp. 3–18, 1987.
P. W. Gaffney, C.A. Addison, B. Andersen, S. Bjornestad, R. E. England, P. M. Hanson, R. Pickering and M. G. Thomason. NEXUS: Towards a problem solving environment (PSE) for scientific computing. ACM SIGNUM Newsletter 21, No. 3:13–24, 1986.
P. W. Gaffney, J. W. Wooten, K. A. Kessel and W. R. McKinney. NITPACK: An interactive tree package. ACM Trans. Math. Software, 9:395–417, 1983.
J. H. Gallier. Logic for Computer Science. Harper and Row, New York, 1986.
P. Hazel and M. R. O’Donohoe. Help Numerical: The Cambridge interactive documentation system for numerical methods. In Production and Assessment of Numerical Software, M. A. Hennell and L. M. Delves, eds., Academic Press, London, pp. 367–382, 1980.
M. A. Hennell, L. M. Delves (editors). Production and Assessment of Numerical Software, Academic Press, London, 1980.
E. A. Herman. Mathematica — A Review. Notices of the Amer. Math. Soc., 35:1334–1344, 1988.
P. Laug. Pilotage d’un code modulaire d’éléments finis par un système expert. Rapports de Recherche No. 658. Institut National de Recherche en Informatique et en Automatique, Domaine de Voluceau, Rocquencourt, 1987.
J. R. Rice (editor). Mathematical Software III. Academic Press, New York, 1977.
J. R. Rice (editor). Mathematical Aspects of Scientific Software. Springer, New York, 1988.
J. R. Rice and R. F. Boisvert. Solving Elliptic Problems Using ELLPACK. Springer, New York, 1985.
K. Schittkowski. EMP: An expert system for mathematical programming. Preprint, Mathematisches Institut, Universitat Bayreuth, 1987.
K. Schulze and C. W. Cryer. NAXPERT: A prototype expert system for numerical software. SIAM J. Sci. Stat. Comput., 9:503–515, 1988.
M. V. Wilkes, D. J. Wheeler and S. Gill. The Preparation of Programs for an Electronic Digital Computer, with special reference to the ED SAC and the use of a library of routines. Addison-Wesley, Cambridge, 1951. Reprinted by Tomash Publishers and The MIT Press, 1982.
S. Wolfram. Mathematica. Addison Wesley, Redwood City, Calif., 1988.
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© 1990 Chapman and Hall
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Cryer, C.W. (1990). Expert systems for numerical software. In: Mason, J.C., Cox, M.G. (eds) Scientific Software Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0841-3_15
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DOI: https://doi.org/10.1007/978-94-009-0841-3_15
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