A page from the OpenDepot.org service

Jump to the start of the main contents

Adams, A.A. (2001) Definite Integration of Parametric Rational Functions: Applying a DITLU. In: Symbolic Computation and Automated Reasoning. A. K. Peters, pp. 1-17. ISBN 1-56881-145-4

[img]
Preview
PDF
Download (86Kb) | Preview

    Abstract

    In [2] we presented a Definite Integral Table Lookup (the DITLU) for parametric functions, including a minimal prototype implementation demonstrating its capabilities. In this paper we present a possible application of a DITLU, which would extend its utility for a modest investment of effort. The naive algorithm for indefinite integration of rational functions (see e.g. [12, �2.10]) can be implemented for parametric rational functions. This involves splitting the rational function integrand using partial fractions. The resulting integrands all fall within a limited class which may be covered in a DITLU by a very small number of table entries. Extensions of this idea to less naive integration algorithms, and the number of table entries required to implement them, are also considered.

    Item Type: Book Section
    Subjects: Mathematical and Computer Sciences > Others in Mathematical and Computing Sciences > Mathematical and Computing Sciences not elsewhere classified
    Divisions: UNSPECIFIED
    Depositing User: Dr Andrew Adams
    Date Deposited: 23 Jul 2008 14:24
    Last Modified: 23 Aug 2010 14:26
    URI: http://opendepot.org/id/eprint/80

    Actions (login required)

    View Item