examples, we also obtained similar gain between GMRES and TSIRM but those
examples are not scalable with many cores. In general, we had some problems
with more than $4,096$ cores.
-\item We have tested many iterative solvers available in PETSc. In fast, it is
+\item We have tested many iterative solvers available in PETSc. In fact, it is
possible to use most of them with TSIRM. From our point of view, the condition
to use a solver inside TSIRM is that the solver must have a restart
- feature. More precisely, the solver must support to be stoped and restarted
+ feature. More precisely, the solver must support to be stopped and restarted
without decrease its converge. That is why with GMRES we stop it when it is
- naturraly restarted (i.e. with $m$ the restart parameter). The Conjugate
+ naturally restarted (i.e. with $m$ the restart parameter). The Conjugate
Gradient (CG) and all its variants do not have ``restarted'' version in PETSc,
so they are not efficient. They will converge with TSIRM but not quickly
because if we compare a normal CG with a CG for which we stop it each 16
