diff --git a/samples/advanced/pdegen/amg_d_genpde_mod.F90 b/samples/advanced/pdegen/amg_d_genpde_mod.F90
index d6acd01c..ec3affc5 100644
--- a/samples/advanced/pdegen/amg_d_genpde_mod.F90
+++ b/samples/advanced/pdegen/amg_d_genpde_mod.F90
@@ -93,6 +93,9 @@ contains
        & a1,a2,a3,b1,b2,b3,c,g,info,f,amold,vmold,partition, nrl,iv)
     use psb_base_mod
     use psb_util_mod
+#if defined(OPENMP)
+    use omp_lib
+#endif
     !
     !   Discretizes the partial differential equation
     !
@@ -128,7 +131,6 @@ contains
     type(psb_d_csc_sparse_mat)  :: acsc
     type(psb_d_coo_sparse_mat)  :: acoo
     type(psb_d_csr_sparse_mat)  :: acsr
-    real(psb_dpk_)           :: zt(nb),x,y,z,xph,xmh,yph,ymh,zph,zmh
     integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_
     integer(psb_lpk_) :: m,n,glob_row,nt
     integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
@@ -141,8 +143,7 @@ contains
     ! Process grid
     integer(psb_ipk_) :: np, iam
     integer(psb_ipk_) :: icoeff
-    integer(psb_lpk_), allocatable     :: irow(:),icol(:),myidx(:)
-    real(psb_dpk_), allocatable :: val(:)
+    integer(psb_lpk_), allocatable     :: myidx(:)
     ! deltah dimension of each grid cell
     ! deltat discretization time
     real(psb_dpk_)            :: deltah, sqdeltah, deltah2
@@ -368,119 +369,128 @@ contains
     call psb_barrier(ctxt)
     talc = psb_wtime()-t0
 
-    if (info /= psb_success_) then
-      info=psb_err_from_subroutine_
-      ch_err='allocation rout.'
-      call psb_errpush(info,name,a_err=ch_err)
-      goto 9999
-    end if
-
-    ! we build an auxiliary matrix consisting of one row at a
-    ! time; just a small matrix. might be extended to generate
-    ! a bunch of rows per call.
-    !
-    allocate(val(20*nb),irow(20*nb),&
-         &icol(20*nb),stat=info)
-    if (info /= psb_success_ ) then
-      info=psb_err_alloc_dealloc_
-      call psb_errpush(info,name)
-      goto 9999
-    endif
-
-
-    ! loop over rows belonging to current process in a block
-    ! distribution.
-
     call psb_barrier(ctxt)
     t1 = psb_wtime()
-    do ii=1, nlr,nb
-      ib = min(nb,nlr-ii+1)
-      icoeff = 1
-      do k=1,ib
-        i=ii+k-1
-        ! local matrix pointer
-        glob_row=myidx(i)
-        ! compute gridpoint coordinates
-        call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim)
-        ! x, y, z coordinates
-        x = (ix-1)*deltah
-        y = (iy-1)*deltah
-        z = (iz-1)*deltah
-        zt(k) = f_(x,y,z)
-        ! internal point: build discretization
-        !
-        !  term depending on   (x-1,y,z)
-        !
-        val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
-        if (ix == 1) then
-          zt(k) = g(dzero,y,z)*(-val(icoeff)) + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y-1,z)
-        val(icoeff)  = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
-        if (iy == 1) then
-          zt(k) = g(x,dzero,z)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y,z-1)
-        val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
-        if (iz == 1) then
-          zt(k) = g(x,y,dzero)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-
-        !  term depending on     (x,y,z)
-        val(icoeff)=(2*done)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
-             & + c(x,y,z)
-        call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
-        irow(icoeff) = glob_row
-        icoeff       = icoeff+1
-        !  term depending on     (x,y,z+1)
-        val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
-        if (iz == idim) then
-          zt(k) = g(x,y,done)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y+1,z)
-        val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
-        if (iy == idim) then
-          zt(k) = g(x,done,z)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x+1,y,z)
-        val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
-        if (ix==idim) then
-          zt(k) = g(done,y,z)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim)
+    !$omp parallel shared(deltah,myidx,a,desc_a)
+    !
+    block 
+      integer(psb_ipk_) :: i,j,k,ii,ib,icoeff, ix,iy,iz, ith,nth
+      integer(psb_lpk_) :: glob_row
+      integer(psb_lpk_), allocatable :: irow(:),icol(:)
+      real(psb_dpk_), allocatable :: val(:)
+      real(psb_dpk_)     :: x,y,z, zt(nb)
+#if defined(OPENMP)
+      nth = omp_get_num_threads()
+      ith = omp_get_thread_num()
+#else
+      nth = 1
+      ith = 0
+#endif
+      allocate(val(20*nb),irow(20*nb),&
+           &icol(20*nb),stat=info)
+      if (info /= psb_success_ ) then
+        info=psb_err_alloc_dealloc_
+        call psb_errpush(info,name)
+        !goto 9999
+      endif
+
+      !$omp  do schedule(dynamic)
+      !     
+      do ii=1, nlr, nb
+        if (info /= psb_success_) cycle
+        ib = min(nb,nlr-ii+1)
+        icoeff = 1
+        do k=1,ib
+          i=ii+k-1
+          ! local matrix pointer
+          glob_row=myidx(i)
+          ! compute gridpoint coordinates
+          call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim)
+          ! x, y, z coordinates
+          x = (ix-1)*deltah
+          y = (iy-1)*deltah
+          z = (iz-1)*deltah
+          zt(k) = f_(x,y,z)
+          ! internal point: build discretization
+          !
+          !  term depending on   (x-1,y,z)
+          !
+          val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
+          if (ix == 1) then
+            zt(k) = g(dzero,y,z)*(-val(icoeff)) + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y-1,z)
+          val(icoeff)  = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
+          if (iy == 1) then
+            zt(k) = g(x,dzero,z)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y,z-1)
+          val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
+          if (iz == 1) then
+            zt(k) = g(x,y,dzero)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+
+          !  term depending on     (x,y,z)
+          val(icoeff)=(2*done)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
+               & + c(x,y,z)
+          call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
           irow(icoeff) = glob_row
           icoeff       = icoeff+1
-        endif
+          !  term depending on     (x,y,z+1)
+          val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
+          if (iz == idim) then
+            zt(k) = g(x,y,done)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y+1,z)
+          val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
+          if (iy == idim) then
+            zt(k) = g(x,done,z)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x+1,y,z)
+          val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
+          if (ix==idim) then
+            zt(k) = g(done,y,z)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
 
+        end do
+        !write(0,*) ' Outer in_parallel ',omp_in_parallel()
+        call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
+        if(info /= psb_success_) cycle
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
+        if(info /= psb_success_) cycle
+        zt(:)=dzero
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
+        if(info /= psb_success_) cycle
       end do
-      call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
-      if(info /= psb_success_) exit
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
-      if(info /= psb_success_) exit
-      zt(:)=dzero
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
-      if(info /= psb_success_) exit
-    end do
+      !$omp end do
+
+      deallocate(val,irow,icol)
+    end block
+    !$omp end parallel
 
     tgen = psb_wtime()-t1
     if(info /= psb_success_) then
@@ -490,7 +500,6 @@ contains
       goto 9999
     end if
 
-    deallocate(val,irow,icol)
 
     call psb_barrier(ctxt)
     t1 = psb_wtime()
@@ -557,6 +566,9 @@ contains
        & a1,a2,b1,b2,c,g,info,f,amold,vmold,partition, nrl,iv)
     use psb_base_mod
     use psb_util_mod
+#if defined(OPENMP)
+    use omp_lib
+#endif
     !
     !   Discretizes the partial differential equation
     !
@@ -591,7 +603,6 @@ contains
     type(psb_d_csc_sparse_mat)  :: acsc
     type(psb_d_coo_sparse_mat)  :: acoo
     type(psb_d_csr_sparse_mat)  :: acsr
-    real(psb_dpk_)           :: zt(nb),x,y,z,xph,xmh,yph,ymh,zph,zmh
     integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_
     integer(psb_lpk_) :: m,n,glob_row,nt
     integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
@@ -604,8 +615,7 @@ contains
     ! Process grid
     integer(psb_ipk_) :: np, iam
     integer(psb_ipk_) :: icoeff
-    integer(psb_lpk_), allocatable     :: irow(:),icol(:),myidx(:)
-    real(psb_dpk_), allocatable :: val(:)
+    integer(psb_lpk_), allocatable     :: myidx(:)
     ! deltah dimension of each grid cell
     ! deltat discretization time
     real(psb_dpk_)            :: deltah, sqdeltah, deltah2, dd
@@ -791,7 +801,7 @@ contains
           !write(0,*) iam,' Check on neighbours: ',desc_a%get_p_adjcncy()
         end if
       end block
-      
+
     case default
       write(psb_err_unit,*) iam, 'Initialization error: should not get here'
       info = -1
@@ -816,93 +826,109 @@ contains
       goto 9999
     end if
 
-    ! we build an auxiliary matrix consisting of one row at a
-    ! time; just a small matrix. might be extended to generate
-    ! a bunch of rows per call.
-    !
-    allocate(val(20*nb),irow(20*nb),&
-         &icol(20*nb),stat=info)
-    if (info /= psb_success_ ) then
-      info=psb_err_alloc_dealloc_
-      call psb_errpush(info,name)
-      goto 9999
-    endif
-
-
-    ! loop over rows belonging to current process in a block
-    ! distribution.
-
     call psb_barrier(ctxt)
     t1 = psb_wtime()
-    do ii=1, nlr,nb
-      ib = min(nb,nlr-ii+1)
-      icoeff = 1
-      do k=1,ib
-        i=ii+k-1
-        ! local matrix pointer
-        glob_row=myidx(i)
-        ! compute gridpoint coordinates
-        call idx2ijk(ix,iy,glob_row,idim,idim)
-        ! x, y coordinates
-        x = (ix-1)*deltah
-        y = (iy-1)*deltah
-
-        zt(k) = f_(x,y)
-        ! internal point: build discretization
-        !
-        !  term depending on   (x-1,y)
-        !
-        val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
-        if (ix == 1) then
-          zt(k) = g(dzero,y)*(-val(icoeff)) + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix-1,iy,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y-1)
-        val(icoeff)  = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
-        if (iy == 1) then
-          zt(k) = g(x,dzero)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy-1,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-
-        !  term depending on     (x,y)
-        val(icoeff)=(2*done)*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
-        call ijk2idx(icol(icoeff),ix,iy,idim,idim)
-        irow(icoeff) = glob_row
-        icoeff       = icoeff+1
-        !  term depending on     (x,y+1)
-        val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
-        if (iy == idim) then
-          zt(k) = g(x,done)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy+1,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x+1,y)
-        val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
-        if (ix==idim) then
-          zt(k) = g(done,y)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix+1,iy,idim,idim)
+    !$omp parallel shared(deltah,myidx,a,desc_a)
+    !
+    block 
+      integer(psb_ipk_) :: i,j,k,ii,ib,icoeff, ix,iy,iz, ith,nth
+      integer(psb_lpk_) :: glob_row
+      integer(psb_lpk_), allocatable :: irow(:),icol(:)
+      real(psb_dpk_), allocatable :: val(:)
+      real(psb_dpk_)     :: x,y,z, zt(nb)
+#if defined(OPENMP)
+      nth = omp_get_num_threads()
+      ith = omp_get_thread_num()
+#else
+      nth = 1
+      ith = 0
+#endif
+      allocate(val(20*nb),irow(20*nb),&
+           &icol(20*nb),stat=info)
+      if (info /= psb_success_ ) then
+        info=psb_err_alloc_dealloc_
+        call psb_errpush(info,name)
+        !goto 9999
+      endif
+
+      ! loop over rows belonging to current process in a block
+      ! distribution.
+      !$omp  do schedule(dynamic)
+      !     
+      do ii=1, nlr,nb
+        ib = min(nb,nlr-ii+1)
+        icoeff = 1
+        do k=1,ib
+          i=ii+k-1
+          ! local matrix pointer
+          glob_row=myidx(i)
+          ! compute gridpoint coordinates
+          call idx2ijk(ix,iy,glob_row,idim,idim)
+          ! x, y coordinates
+          x = (ix-1)*deltah
+          y = (iy-1)*deltah
+
+          zt(k) = f_(x,y)
+          ! internal point: build discretization
+          !
+          !  term depending on   (x-1,y)
+          !
+          val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
+          if (ix == 1) then
+            zt(k) = g(dzero,y)*(-val(icoeff)) + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix-1,iy,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y-1)
+          val(icoeff)  = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
+          if (iy == 1) then
+            zt(k) = g(x,dzero)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy-1,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+
+          !  term depending on     (x,y)
+          val(icoeff)=(2*done)*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
+          call ijk2idx(icol(icoeff),ix,iy,idim,idim)
           irow(icoeff) = glob_row
           icoeff       = icoeff+1
-        endif
+          !  term depending on     (x,y+1)
+          val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
+          if (iy == idim) then
+            zt(k) = g(x,done)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy+1,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x+1,y)
+          val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
+          if (ix==idim) then
+            zt(k) = g(done,y)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix+1,iy,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
 
+        end do
+        call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
+        if(info /= psb_success_) cycle
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
+        if(info /= psb_success_) cycle
+        zt(:)=dzero
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
+        if(info /= psb_success_) cycle
       end do
-      call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
-      if(info /= psb_success_) exit
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
-      if(info /= psb_success_) exit
-      zt(:)=dzero
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
-      if(info /= psb_success_) exit
-    end do
+      !$omp end do
+
+      deallocate(val,irow,icol)
+    end block
+    !$omp end parallel
 
     tgen = psb_wtime()-t1
     if(info /= psb_success_) then
@@ -912,8 +938,6 @@ contains
       goto 9999
     end if
 
-    deallocate(val,irow,icol)
-
     call psb_barrier(ctxt)
     t1 = psb_wtime()
     call psb_cdasb(desc_a,info)
diff --git a/samples/advanced/pdegen/amg_s_genpde_mod.F90 b/samples/advanced/pdegen/amg_s_genpde_mod.F90
index 7d32cf30..dfa79ab3 100644
--- a/samples/advanced/pdegen/amg_s_genpde_mod.F90
+++ b/samples/advanced/pdegen/amg_s_genpde_mod.F90
@@ -93,6 +93,9 @@ contains
        & a1,a2,a3,b1,b2,b3,c,g,info,f,amold,vmold,partition, nrl,iv)
     use psb_base_mod
     use psb_util_mod
+#if defined(OPENMP)
+    use omp_lib
+#endif
     !
     !   Discretizes the partial differential equation
     !
@@ -128,7 +131,6 @@ contains
     type(psb_s_csc_sparse_mat)  :: acsc
     type(psb_s_coo_sparse_mat)  :: acoo
     type(psb_s_csr_sparse_mat)  :: acsr
-    real(psb_spk_)           :: zt(nb),x,y,z,xph,xmh,yph,ymh,zph,zmh
     integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_
     integer(psb_lpk_) :: m,n,glob_row,nt
     integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
@@ -141,8 +143,7 @@ contains
     ! Process grid
     integer(psb_ipk_) :: np, iam
     integer(psb_ipk_) :: icoeff
-    integer(psb_lpk_), allocatable     :: irow(:),icol(:),myidx(:)
-    real(psb_spk_), allocatable :: val(:)
+    integer(psb_lpk_), allocatable     :: myidx(:)
     ! deltah dimension of each grid cell
     ! deltat discretization time
     real(psb_spk_)            :: deltah, sqdeltah, deltah2
@@ -368,119 +369,128 @@ contains
     call psb_barrier(ctxt)
     talc = psb_wtime()-t0
 
-    if (info /= psb_success_) then
-      info=psb_err_from_subroutine_
-      ch_err='allocation rout.'
-      call psb_errpush(info,name,a_err=ch_err)
-      goto 9999
-    end if
-
-    ! we build an auxiliary matrix consisting of one row at a
-    ! time; just a small matrix. might be extended to generate
-    ! a bunch of rows per call.
-    !
-    allocate(val(20*nb),irow(20*nb),&
-         &icol(20*nb),stat=info)
-    if (info /= psb_success_ ) then
-      info=psb_err_alloc_dealloc_
-      call psb_errpush(info,name)
-      goto 9999
-    endif
-
-
-    ! loop over rows belonging to current process in a block
-    ! distribution.
-
     call psb_barrier(ctxt)
     t1 = psb_wtime()
-    do ii=1, nlr,nb
-      ib = min(nb,nlr-ii+1)
-      icoeff = 1
-      do k=1,ib
-        i=ii+k-1
-        ! local matrix pointer
-        glob_row=myidx(i)
-        ! compute gridpoint coordinates
-        call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim)
-        ! x, y, z coordinates
-        x = (ix-1)*deltah
-        y = (iy-1)*deltah
-        z = (iz-1)*deltah
-        zt(k) = f_(x,y,z)
-        ! internal point: build discretization
-        !
-        !  term depending on   (x-1,y,z)
-        !
-        val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
-        if (ix == 1) then
-          zt(k) = g(szero,y,z)*(-val(icoeff)) + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y-1,z)
-        val(icoeff)  = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
-        if (iy == 1) then
-          zt(k) = g(x,szero,z)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y,z-1)
-        val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
-        if (iz == 1) then
-          zt(k) = g(x,y,szero)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-
-        !  term depending on     (x,y,z)
-        val(icoeff)=(2*sone)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
-             & + c(x,y,z)
-        call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
-        irow(icoeff) = glob_row
-        icoeff       = icoeff+1
-        !  term depending on     (x,y,z+1)
-        val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
-        if (iz == idim) then
-          zt(k) = g(x,y,sone)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y+1,z)
-        val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
-        if (iy == idim) then
-          zt(k) = g(x,sone,z)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x+1,y,z)
-        val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
-        if (ix==idim) then
-          zt(k) = g(sone,y,z)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim)
+    !$omp parallel shared(deltah,myidx,a,desc_a)
+    !
+    block 
+      integer(psb_ipk_) :: i,j,k,ii,ib,icoeff, ix,iy,iz, ith,nth
+      integer(psb_lpk_) :: glob_row
+      integer(psb_lpk_), allocatable :: irow(:),icol(:)
+      real(psb_spk_), allocatable :: val(:)
+      real(psb_spk_)     :: x,y,z, zt(nb)
+#if defined(OPENMP)
+      nth = omp_get_num_threads()
+      ith = omp_get_thread_num()
+#else
+      nth = 1
+      ith = 0
+#endif
+      allocate(val(20*nb),irow(20*nb),&
+           &icol(20*nb),stat=info)
+      if (info /= psb_success_ ) then
+        info=psb_err_alloc_dealloc_
+        call psb_errpush(info,name)
+        !goto 9999
+      endif
+
+      !$omp  do schedule(dynamic)
+      !     
+      do ii=1, nlr, nb
+        if (info /= psb_success_) cycle
+        ib = min(nb,nlr-ii+1)
+        icoeff = 1
+        do k=1,ib
+          i=ii+k-1
+          ! local matrix pointer
+          glob_row=myidx(i)
+          ! compute gridpoint coordinates
+          call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim)
+          ! x, y, z coordinates
+          x = (ix-1)*deltah
+          y = (iy-1)*deltah
+          z = (iz-1)*deltah
+          zt(k) = f_(x,y,z)
+          ! internal point: build discretization
+          !
+          !  term depending on   (x-1,y,z)
+          !
+          val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2
+          if (ix == 1) then
+            zt(k) = g(szero,y,z)*(-val(icoeff)) + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y-1,z)
+          val(icoeff)  = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2
+          if (iy == 1) then
+            zt(k) = g(x,szero,z)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y,z-1)
+          val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2
+          if (iz == 1) then
+            zt(k) = g(x,y,szero)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+
+          !  term depending on     (x,y,z)
+          val(icoeff)=(2*sone)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah &
+               & + c(x,y,z)
+          call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim)
           irow(icoeff) = glob_row
           icoeff       = icoeff+1
-        endif
+          !  term depending on     (x,y,z+1)
+          val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2
+          if (iz == idim) then
+            zt(k) = g(x,y,sone)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y+1,z)
+          val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2
+          if (iy == idim) then
+            zt(k) = g(x,sone,z)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x+1,y,z)
+          val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2
+          if (ix==idim) then
+            zt(k) = g(sone,y,z)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
 
+        end do
+        !write(0,*) ' Outer in_parallel ',omp_in_parallel()
+        call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
+        if(info /= psb_success_) cycle
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
+        if(info /= psb_success_) cycle
+        zt(:)=szero
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
+        if(info /= psb_success_) cycle
       end do
-      call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
-      if(info /= psb_success_) exit
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
-      if(info /= psb_success_) exit
-      zt(:)=szero
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
-      if(info /= psb_success_) exit
-    end do
+      !$omp end do
+
+      deallocate(val,irow,icol)
+    end block
+    !$omp end parallel
 
     tgen = psb_wtime()-t1
     if(info /= psb_success_) then
@@ -490,7 +500,6 @@ contains
       goto 9999
     end if
 
-    deallocate(val,irow,icol)
 
     call psb_barrier(ctxt)
     t1 = psb_wtime()
@@ -557,6 +566,9 @@ contains
        & a1,a2,b1,b2,c,g,info,f,amold,vmold,partition, nrl,iv)
     use psb_base_mod
     use psb_util_mod
+#if defined(OPENMP)
+    use omp_lib
+#endif
     !
     !   Discretizes the partial differential equation
     !
@@ -591,7 +603,6 @@ contains
     type(psb_s_csc_sparse_mat)  :: acsc
     type(psb_s_coo_sparse_mat)  :: acoo
     type(psb_s_csr_sparse_mat)  :: acsr
-    real(psb_spk_)           :: zt(nb),x,y,z,xph,xmh,yph,ymh,zph,zmh
     integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_
     integer(psb_lpk_) :: m,n,glob_row,nt
     integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner
@@ -604,8 +615,7 @@ contains
     ! Process grid
     integer(psb_ipk_) :: np, iam
     integer(psb_ipk_) :: icoeff
-    integer(psb_lpk_), allocatable     :: irow(:),icol(:),myidx(:)
-    real(psb_spk_), allocatable :: val(:)
+    integer(psb_lpk_), allocatable     :: myidx(:)
     ! deltah dimension of each grid cell
     ! deltat discretization time
     real(psb_spk_)            :: deltah, sqdeltah, deltah2, dd
@@ -791,7 +801,7 @@ contains
           !write(0,*) iam,' Check on neighbours: ',desc_a%get_p_adjcncy()
         end if
       end block
-      
+
     case default
       write(psb_err_unit,*) iam, 'Initialization error: should not get here'
       info = -1
@@ -816,93 +826,109 @@ contains
       goto 9999
     end if
 
-    ! we build an auxiliary matrix consisting of one row at a
-    ! time; just a small matrix. might be extended to generate
-    ! a bunch of rows per call.
-    !
-    allocate(val(20*nb),irow(20*nb),&
-         &icol(20*nb),stat=info)
-    if (info /= psb_success_ ) then
-      info=psb_err_alloc_dealloc_
-      call psb_errpush(info,name)
-      goto 9999
-    endif
-
-
-    ! loop over rows belonging to current process in a block
-    ! distribution.
-
     call psb_barrier(ctxt)
     t1 = psb_wtime()
-    do ii=1, nlr,nb
-      ib = min(nb,nlr-ii+1)
-      icoeff = 1
-      do k=1,ib
-        i=ii+k-1
-        ! local matrix pointer
-        glob_row=myidx(i)
-        ! compute gridpoint coordinates
-        call idx2ijk(ix,iy,glob_row,idim,idim)
-        ! x, y coordinates
-        x = (ix-1)*deltah
-        y = (iy-1)*deltah
-
-        zt(k) = f_(x,y)
-        ! internal point: build discretization
-        !
-        !  term depending on   (x-1,y)
-        !
-        val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
-        if (ix == 1) then
-          zt(k) = g(szero,y)*(-val(icoeff)) + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix-1,iy,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x,y-1)
-        val(icoeff)  = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
-        if (iy == 1) then
-          zt(k) = g(x,szero)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy-1,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-
-        !  term depending on     (x,y)
-        val(icoeff)=(2*sone)*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
-        call ijk2idx(icol(icoeff),ix,iy,idim,idim)
-        irow(icoeff) = glob_row
-        icoeff       = icoeff+1
-        !  term depending on     (x,y+1)
-        val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
-        if (iy == idim) then
-          zt(k) = g(x,sone)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix,iy+1,idim,idim)
-          irow(icoeff) = glob_row
-          icoeff       = icoeff+1
-        endif
-        !  term depending on     (x+1,y)
-        val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
-        if (ix==idim) then
-          zt(k) = g(sone,y)*(-val(icoeff))   + zt(k)
-        else
-          call ijk2idx(icol(icoeff),ix+1,iy,idim,idim)
+    !$omp parallel shared(deltah,myidx,a,desc_a)
+    !
+    block 
+      integer(psb_ipk_) :: i,j,k,ii,ib,icoeff, ix,iy,iz, ith,nth
+      integer(psb_lpk_) :: glob_row
+      integer(psb_lpk_), allocatable :: irow(:),icol(:)
+      real(psb_spk_), allocatable :: val(:)
+      real(psb_spk_)     :: x,y,z, zt(nb)
+#if defined(OPENMP)
+      nth = omp_get_num_threads()
+      ith = omp_get_thread_num()
+#else
+      nth = 1
+      ith = 0
+#endif
+      allocate(val(20*nb),irow(20*nb),&
+           &icol(20*nb),stat=info)
+      if (info /= psb_success_ ) then
+        info=psb_err_alloc_dealloc_
+        call psb_errpush(info,name)
+        !goto 9999
+      endif
+
+      ! loop over rows belonging to current process in a block
+      ! distribution.
+      !$omp  do schedule(dynamic)
+      !     
+      do ii=1, nlr,nb
+        ib = min(nb,nlr-ii+1)
+        icoeff = 1
+        do k=1,ib
+          i=ii+k-1
+          ! local matrix pointer
+          glob_row=myidx(i)
+          ! compute gridpoint coordinates
+          call idx2ijk(ix,iy,glob_row,idim,idim)
+          ! x, y coordinates
+          x = (ix-1)*deltah
+          y = (iy-1)*deltah
+
+          zt(k) = f_(x,y)
+          ! internal point: build discretization
+          !
+          !  term depending on   (x-1,y)
+          !
+          val(icoeff) = -a1(x,y)/sqdeltah-b1(x,y)/deltah2
+          if (ix == 1) then
+            zt(k) = g(szero,y)*(-val(icoeff)) + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix-1,iy,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x,y-1)
+          val(icoeff)  = -a2(x,y)/sqdeltah-b2(x,y)/deltah2
+          if (iy == 1) then
+            zt(k) = g(x,szero)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy-1,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+
+          !  term depending on     (x,y)
+          val(icoeff)=(2*sone)*(a1(x,y) + a2(x,y))/sqdeltah + c(x,y)
+          call ijk2idx(icol(icoeff),ix,iy,idim,idim)
           irow(icoeff) = glob_row
           icoeff       = icoeff+1
-        endif
+          !  term depending on     (x,y+1)
+          val(icoeff)=-a2(x,y)/sqdeltah+b2(x,y)/deltah2
+          if (iy == idim) then
+            zt(k) = g(x,sone)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix,iy+1,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
+          !  term depending on     (x+1,y)
+          val(icoeff)=-a1(x,y)/sqdeltah+b1(x,y)/deltah2
+          if (ix==idim) then
+            zt(k) = g(sone,y)*(-val(icoeff))   + zt(k)
+          else
+            call ijk2idx(icol(icoeff),ix+1,iy,idim,idim)
+            irow(icoeff) = glob_row
+            icoeff       = icoeff+1
+          endif
 
+        end do
+        call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
+        if(info /= psb_success_) cycle
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
+        if(info /= psb_success_) cycle
+        zt(:)=szero
+        call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
+        if(info /= psb_success_) cycle
       end do
-      call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info)
-      if(info /= psb_success_) exit
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info)
-      if(info /= psb_success_) exit
-      zt(:)=szero
-      call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
-      if(info /= psb_success_) exit
-    end do
+      !$omp end do
+
+      deallocate(val,irow,icol)
+    end block
+    !$omp end parallel
 
     tgen = psb_wtime()-t1
     if(info /= psb_success_) then
@@ -912,8 +938,6 @@ contains
       goto 9999
     end if
 
-    deallocate(val,irow,icol)
-
     call psb_barrier(ctxt)
     t1 = psb_wtime()
     call psb_cdasb(desc_a,info)