The numerical solution of differential-algebraic systems using Runge Kutta methods of special type

Date
1989
Authors
Coyle, James
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Authors
Research Projects
Organizational Units
Mathematics
Organizational Unit
Journal Issue
Series
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.

Description
Keywords
Mathematics
Citation
Source