TY - JOUR
T1 - Multistep Discretization of Index 3 DAEs
AU - Cao , Yang
AU - Li , Qing-Yang
JO - Journal of Computational Mathematics
VL - 3
SP - 325
EP - 336
PY - 2000
DA - 2000/06
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9046.html
KW - Multistep methods,  Adams method, BDF, DAEs, Index 3.
AB - <p style="text-align: justify;">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. &nbsp;</p>