MULTISTEP DISCRETIZATION OF INDEX 3 DAES

In the past Index-3 DAEs were solved by BDF methods as multistep methods or implicit Runge-Kutta methods as one-step methods. But if the equations are nonstiff, not only BDF but other multistep methods may be applied. This paper considers four different types of multistep discretization of index 3 DAEs in hes- senberg form. The convergence of these methods is proven under the condition that the multistep formula is striculy infinite stable. numerical tests also confirm the results.