Degree Type

Dissertation

Date of Award

1989

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Roger K. Alexander

Abstract

In this dissertation we are concerned with the solution of differential-algebraic equations using Runge Kutta methods whose coefficient matrices are singular. Not all such Runge Kutta methods are well defined when applied to differential-algebraic equations; however, Runge Kutta methods of special type are shown here to be well defined when applied to either constant coefficient or uniform index 1 differential-algebraic equations. We also derive conditions on the coefficients of such a method sufficient for any desired order.

DOI

https://doi.org/10.31274/rtd-180813-8968

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

James John Coyle

Language

en

Proquest ID

AAI9003509

File Format

application/pdf

File Size

95 pages

Included in

Mathematics Commons

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