Journal article
Convergence of Runge-Kutta methods for differential-algebraic systems of index 3
Applied numerical mathematics, Vol.17(2), pp.97-118
1995
DOI: 10.1016/0168-9274(95)00013-K
Abstract
This article deals with convergence results of stiffly accurate implicit Runge-Kutta methods when applied to differential-algebraic equations of index 3 in Hessenberg form. Under certain hypotheses global superconvergence is shown, proving a result conjectured by Hairer, Lubich and Roche. Numerical examples are provided which illustrate the theoretical results.
Details
- Title: Subtitle
- Convergence of Runge-Kutta methods for differential-algebraic systems of index 3
- Creators
- Laurent Jay - Department of Computer Science, University of Minnesota, 4-192 EE/CS Building, 200 Union Street, Minneapolis, MN 55455-0159, USA
- Resource Type
- Journal article
- Publication Details
- Applied numerical mathematics, Vol.17(2), pp.97-118
- DOI
- 10.1016/0168-9274(95)00013-K
- ISSN
- 0168-9274
- eISSN
- 1873-5460
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 1995
- Academic Unit
- Mathematics
- Record Identifier
- 9983985949102771
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