Journal article
Solution of Index 2 Implicit Differential-Algebraic Equations by Lobatto Runge-Kutta Methods
Bit Numerical Mathematics, Vol.43(1), pp.93-106
03/2003
DOI: 10.1023/A:1023696822355
Abstract
We consider the numerical solution of systems of index 2 implicit differential-algebraic equations (DAEs) by a class of super partitioned additive Runge–Kutta (SPARK) methods. The families of Lobatto IIIA-B-C-C*-D methods are included. We show super-convergence of optimal order 2s−2 for the s-stage Lobatto families provided the constraints are treated in a particular way which strongly relies on specific properties of the SPARK coefficients. Moreover, reversibility properties of the flow can still be preserved provided certain SPARK coefficients are symmetric.
Details
- Title: Subtitle
- Solution of Index 2 Implicit Differential-Algebraic Equations by Lobatto Runge-Kutta Methods
- Creators
- L Jay - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Bit Numerical Mathematics, Vol.43(1), pp.93-106
- DOI
- 10.1023/A:1023696822355
- ISSN
- 0006-3835
- eISSN
- 1572-9125
- Publisher
- Kluwer Academic Publishers
- Language
- English
- Date published
- 03/2003
- Academic Unit
- Mathematics
- Record Identifier
- 9984240762002771
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