On the structure of errors for Radau IA methods applied to index-2 DAEs Original Research Article

In this contribution, we focus on the structure of local and global errors for Radau IA methods applied to index-2 problems. We show in particular that if the last step of integration is done with the Radau IIA method, the final approximation is then of order 2s − 2. This result is also interpreted in terms of effective order and possible implications for Gauss methods are sketched.