# On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems

@article{Strehmel1990OnEB, title={On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems}, author={K. Strehmel and R. Weiner and I. Dannehl}, journal={BIT}, year={1990}, volume={30}, pages={358-375} }

This paper studies partitioned linearly implicit Runge-Kutta methods as applied to approximate the smooth solution of a perturbed problem with stepsizes larger than the stiffness parameterε. Conditions are supplied for construction of methods of arbitrary order. The local and global error are analyzed and the limiting caseε → 0 considered yielding a partitioned linearly implicit Runge-Kutta method for differential-algebraic equations of index one. Finally, some numerical experiments demonstrate… Expand

#### 15 Citations

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