On Order Reduction for Runge-kutta Methods Applied to Differential / Algebraic Systems and to Stiff Systems of Odes *

@inproceedings{BURRAGEtOnOR,
  title={On Order Reduction for Runge-kutta Methods Applied to Differential / Algebraic Systems and to Stiff Systems of Odes *},
  author={KEVIN BURRAGEt and Linda Petzold}
}
In this short note, the order reduction results of Petzold [SIAM J. Numer. Anal. 23(1986), pp. 837-852] for implicit Runge-Kutta methods, applied to index 1 differential/algebraic systems are extended to include a larger class of methods. The relationship between the order reduction results for differential/algebraic systems and recent results for stiff systems of ordinary differential equations is explained. 

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