"Pitar: A Preprocessor for Interval Taylor Arithmetic Applications" by Rajendra M. Ugale
 

Date of Award

5-1988

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

First Advisor

George F. Corliss

Second Advisor

Michael Slattery

Abstract

In order to solve ordinary differential equations and partial differential equations using interval Taylor arithmetic, we need to write a Fortran program that includes calls to interval Taylor operators (subroutines) instead of the traditional Fortran operators (functions). One way to accomplish this is by requiring that the user learn about the interval Taylor subroutines and then write a Fortran program that contains calls to these subroutines. Another way to accomplish this is by writing a preprocessor that will transform a traditional Fortran program into another Fortran program that contains calls to the interval Taylor subroutines. Since this is an automated process, it will be more efficient. Another advantage of this method is that the user does not have to learn about special interval Taylor arithmetic subroutines and about the interface to these routines.

Comments

An Essay Submitted to the Faculty of the Graduate School, Marquette University, in Partial Fulfillment of the Requirements for the Degree of Master of Science, Milwaukee, Wisconsin.

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