A stable realization of lower index DAE transfer methods

Abramov's transfer method for ordinary differential equations and DAEs is a stable method for the computation of the solution space of linear boundary value problems. It transfers linear boundary value problems into initial value problems and systems of linear algebraic equations. These algebraic equations determine the solution space. The transfer method is stable in the sense that small perturbations of the right-hand side of the resulting equations realize regular perturbations of the given problem. The computation of test examples shows that the transfer methods compute solutions in cases when other algorithms do not work. An idea of the application of the transfer to nonlinear problems is given.