Multistep Discretization of Index 3 DAEs

Multistep Discretization of Index 3 DAEs

Year:    2000

Author:    Yang Cao, Qing-Yang Li

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 3 : pp. 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.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9046

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 3 : pp. 325–336

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Multistep methods Adams method BDF DAEs Index 3.

Author Details

Yang Cao

Qing-Yang Li