Several methods have been used by some authors to solve DAEs, the methods range from multistep methods such as BDF and EBDF methods to one-step methods such as Runge-Kutta methods. In this talk, we present Multistep Runge-Kutta methods (MRKs) which are the extension of our previous works on ODEs. We discuss fixed stepsize MRKs and Variable Coefficient MRKs. The methods treat the DAEs as problems of the form M y' = f(x). We implement the MRKs in parallel iteration technique. The talk is concluded by presentation of some numerical tests.

MINISIMPOSIUM SESSION: 13. Numerical methods for DAEs