@Article{JCM-18-325, author = {Cao , Yang and Li , Qing-Yang}, title = {Multistep Discretization of Index 3 DAEs}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {3}, pages = {325--336}, abstract = {

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 hessenberg form. The convergence of these methods is proven under the condition that the multistep formula is strictly infinite stable. Numerical tests also confirm the results.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9046.html} }