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Volume 18, Issue 3
Multistep Discretization of Index 3 DAEs

Yang Cao & Qing-Yang Li

J. Comp. Math., 18 (2000), pp. 325-336.

Published online: 2000-06

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  • 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.  

  • Keywords

Multistep methods, Adams method, BDF, DAEs, Index 3.

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COPYRIGHT: © Global Science Press

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@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} }
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 -

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.  

Cao , Yang and Li , Qing-Yang. (2000). Multistep Discretization of Index 3 DAEs. Journal of Computational Mathematics. 18 (3). 325-336. doi:
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