Date of Award
Doctor of Philosophy
Roger K. Alexander
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.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
James John Coyle
Coyle, James John, "The numerical solution of differential-algebraic systems using Runge Kutta methods of special type " (1989). Retrospective Theses and Dissertations. 9030.