We discuss the use of preconditioning in Krylov-W-methods. The precond
itioning is based on different operator splitting schemes for reaction
-diffusion problems. Comparison of various Krylov codes show that the
preconditioned version of ROWMAP works efficient and reliable, especia
lly for large dimensions. Furthermore, parallelism can easily be explo
ited in the preconditioning. (C) 1998 Published by Elsevier B.V. and I
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