document: Design , analysis and testing of some parallel two-step W-methods for stiff systems Parallel two-step W-methods are linearly-implicit integration methods where the s stage values can be computed in parallel . We construct methods of stage order q = s and order p = s with favourable stability properties . Generalizations for the concepts of A - and L-stability are proposed and conditions for stiff accuracy are given . Numerical comparisons on a shared memory computer show the efficiency of the methods , especially in combination with Krylov-techniques for large stiff systems
doc_bio_tags: O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O B O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O B I I
extractive_keyphrases: large stiff systems stage order stability shared memory computer
abstractive_keyphrases: parallel two-step w-methods linearly-implicit integration methods differential equations convergence analysis krylov-techniques