As multi-implicit Runge-Kutta methods (i.e. methods having real and distinct eigenvalues) are suitable for parallel implementation, the construction of such stiffly accurate methods is discussed. The constructed methods are either B-stable or have high stage order. Implementational issues such as parallel error estimators are also discussed and numerical examples from a parallel implementation will be presented.

MINISIMPOSIUM SESSION: 4. Parallel methods for ODEs