Runge Kutta Methods for
Differential-Algebraic Equations (DAEs)
This programme is focussed on the application of Implicit Runge-Kutta methods for the DAEs arising from the
spatial discretization of some evolution equations. Although, a good amount of
literature is devoted to the analysis of IRK methods for the system of ODEs
resulting from the finite element or finite difference discretization of time
dependent PDEs, but there is hardly any result pertaining to the present
programme. Therefore, an attempt has been made in the Thesis of Dr. Manickam to
analyze and discuss higher order IRK schemes (ref. [28], [36] in the list of
publications).