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Abstraction in Numerical Methods

Author(s)
Halfant, Matthew; Sussman, Gerald Jay
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Abstract
We illustrate how the liberal use of high-order procedural abstractions and infinite streams helps us to express some of the vocabulary and methods of numerical analysis. We develop a software toolbox encapsulating the technique of Richardson extrapolation, and we apply these tools to the problems of numerical integration and differentiation. By separating the idea of Richardson extrapolation from its use in particular circumstances, we indicate how numerical programs can be written that exhibit the structure of the ideas from which they are formed.
Date issued
1987-10-01
URI
http://hdl.handle.net/1721.1/6060
Other identifiers
AIM-997
Series/Report no.
AIM-997
Keywords
SCHEME, abstraction, programming methodology, Richardsonsextrapolation, LISP

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