Numerical experiments with Krylov integrators Original Research Article

We discuss the use of preconditioning in Krylov-W-methods. The preconditioning 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, especially for large dimensions. Furthermore, parallelism can easily be exploited in the preconditioning.