document: Post-projected Runge-Kutta methods for index-2 differential-algebraic equations A new projection technique for Runge-Kutta methods applied to index-2 differential-algebraic equations is presented in which the numerical approximation is projected only as part of the output process . It is shown that for methods that are strictly stable at infinity , the order of convergence is unaffected compared to standard projected methods . Gauss methods , for which this technique is of special interest when some symmetry is to be preserved , are studied in more detail
doc_bio_tags: O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: numerical approximation order of convergence projected methods
abstractive_keyphrases: post-projected runge-kutta methods index-2 differential-algebraic equations