@Article{JCM-18-3, author = {Yang, Cao and Qing-Yang, Li}, 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/2000-JCM-9046}, url = {https://global-sci.com/article/85557/multistep-discretization-of-index-3-daes} }