On the Consistency of Arnoldi‐Based Krylov Methods for Conservation Laws

Conservation and consistency are fundamental properties of discretizations systems hyperbolic conservation laws. Re- cently, these concepts have been extended to the realm iterative methods by defining locally conservative flux consistent iterations. In this note, current status such is summarized. particular, it has shown that Krylov subspace conservative, but they not consistent. Here, we approach problem quantifying inconsistency methods. introduce a time retardation factor into linear It thusfar unknown how compute precise value factor. This issue resolved herein for Arnoldi-based