Use of symbolic and numeric methods in an algorithm for the approximation of multivariate functions

Authors:
David K. Kahaner;Mark B. Wells
Affiliations:
-;-
Venue:
SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
Year:
1976

Citing 2
Cited 0

Programming with abstract data types

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A data type encapsulation scheme utilizing base language operators

Proceedings of the 1976 conference on Data : Abstraction, definition and structure

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Abstract

In this paper, we discuss aspects of a particular algorithm, namely that of finding an approximation to a real function of n variables, that uses both symbolic and numeric manipulations. Development of this algorithm was motivated in part by an actual application; it is being used in a study of the optimal design of a geothermal energy extraction plant [4]. Our experience here with the extensible language Madcap [6], in which the approximation algorithm was developed, certainly corroborates the importance of very high level, general-purpose languages for the design of involved algorithms.