On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems
This paper is concerned with the construction of partitioned linearly implicit Runge-Kutta methods for stiff singularly perturbed problems as well as differential algebraic systems of index 1. The partitioned methods consist of an explicit Runge-Kutta method for the non-stiff subsystem and a linearly implicit method for the stiff subsystem. Order conditions are derived which allow the construction of methods with arbitrary global order. Some numerical examples illustrate these theoretical results.
partitioned linearly implicit Runge-Kutta methods
differential algebraic systems of index 1
scientific article; zbMATH DE number 4151759