oeujoirauez

diff --git a/paper.tex b/paper.tex
index fdb9094cdd9602852140d458d985a4a6a05f0b00..3d4826c28743a994c1a568f126f9cb1920db8ba4 100644 (file)
--- a/paper.tex
+++ b/paper.tex
@@ -966,12 +966,12 @@ architecture are equiped with a dedicated high speed network.
 
 In  many situations, using  preconditioners is  essential in  order to  find the
 solution of a linear system.  There are many preconditioners available in PETSc.
 
 In  many situations, using  preconditioners is  essential in  order to  find the
 solution of a linear system.  There are many preconditioners available in PETSc.

-For parallel applications all  the preconditioners based on matrix factorization
+However, for parallel applications, all  the preconditioners based on matrix factorization

 are  not  available. In  our  experiments, we  have  tested  different kinds  of
 are  not  available. In  our  experiments, we  have  tested  different kinds  of

-preconditioners, however  as it is  not the subject  of this paper, we  will not
+preconditioners, but  as it is  not the subject  of this paper, we  will not

 present results with many preconditioners. In  practice, we have chosen to use a
 present results with many preconditioners. In  practice, we have chosen to use a

-multigrid (mg)  and successive  over-relaxation (sor). For  more details  on the
-preconditioner in PETSc please consult~\cite{petsc-web-page}.
+multigrid (mg)  and successive  over-relaxation (sor). For  further details  on the
+preconditioner in PETSc, reader is referred to~\cite{petsc-web-page}.

 
 
 
 
 
 


@@ -994,7 +994,7 @@ preconditioner in PETSc please consult~\cite{petsc-web-page}.
 \hline
 
 \end{tabular}
 \hline
 
 \end{tabular}

-\caption{Comparison of FGMRES and TSIRM with FGMRES for example ex15 of PETSc with two preconditioners (mg and sor) with 25,000 components per core on Juqueen ($\epsilon_{tsirm}=1e-3$, $max\_iter_{kryl}=30$, $s=12$, $max\_iter_{ls}=15$, $\epsilon_{ls}=1e-40$),  time is expressed in seconds.}
+\caption{Comparison of FGMRES and TSIRM with FGMRES for example ex15 of PETSc with two preconditioners (mg and sor) having 25,000 components per core on Juqueen ($\epsilon_{tsirm}=1e-3$, $max\_iter_{kryl}=30$, $s=12$, $max\_iter_{ls}=15$, $\epsilon_{ls}=1e-40$),  time is expressed in seconds.}

 \label{tab:03}
 \end{center}
 \end{table*}
 \label{tab:03}
 \end{center}
 \end{table*}