Kreiss-Oliger type dissipation for the restricted full norm 4-3 operator.

git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/SummationByParts/trunk@57 f69c4107-0314-4c4f-9ad4-17e986b73f4a

3 files changed, 697 insertions, 0 deletions

diff --git a/src/Dissipation_4_3_min_err_coeff_alt.F90 b/src/Dissipation_4_3_min_err_coeff_alt.F90
new file mode 100644
index 0000000..4f103cd
--- /dev/null
+++ b/src/Dissipation_4_3_min_err_coeff_alt.F90
@@ -0,0 +1,690 @@
+! $Header$
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Functions.h"
+
+
+subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, &
+                                               delta, epsilon, dfl, rhs)
+
+  implicit none
+
+  DECLARE_CCTK_PARAMETERS
+  DECLARE_CCTK_FUNCTIONS
+
+  CCTK_INT, dimension(3), intent(in) ::  lsh, gsh, lbnd
+  CCTK_INT :: ni, nj, nk
+  CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(in) :: var
+  CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(inout) :: rhs
+  CCTK_INT, dimension(6), intent(in) :: bb
+  CCTK_INT, dimension(3), intent(in) :: gsize
+  CCTK_REAL, dimension(3), intent(in) :: delta
+  CCTK_REAL, intent(in) :: epsilon, dfl
+
+  CCTK_REAL :: zero = 0.0
+  integer, parameter :: wp = kind(zero)
+  integer :: i, j, k, center
+  CCTK_REAL, dimension(:,:), allocatable :: a, d, b, h, tmp
+  CCTK_REAL :: idel
+
+  CCTK_INT :: il, ir, jl, jr, kl, kr
+
+  ni = lsh(1); nj = lsh(2); nk = lsh(3)
+
+  allocate ( a(ni,ni), d(ni,ni), b(ni,ni), h(ni,ni), tmp(ni,ni) )
+  a = zero; d = zero; b = zero; h = zero; tmp = zero
+
+  call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1), lbnd(1), delta(1), dfl )
+
+  call set_hmatrix ( h, bb(1:2) )
+
+  if ( any ( bb(1:2) == 0 ) ) then
+
+    call set_dmatrix ( d, bb(1:2) )
+
+    a = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
+
+  else
+
+    if ( lsh(1) /= gsh(1) ) then
+      call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
+    end if
+
+    center = gsh(1) / 2
+    ir = center + max(3,gsize(1))
+
+    call set_dmatrix_half ( d(1:ir,1:ir), 1 )
+
+    tmp(1:ir,1:ir) = -transpose ( &
+                        matmul ( h(1:ir,1:ir), &
+                                 matmul ( &
+                                   transpose ( d(1:ir,1:ir) ), &
+                                    matmul ( b(1:ir,1:ir), &
+                                             d(1:ir,1:ir) ) ) ) )
+
+    a(1:ir,1:center) = tmp(1:ir,1:center)
+
+    il = center + 1 - max(3,gsize(1))
+    d = zero
+    call set_dmatrix_half ( d(il:ni,il:ni), 2 )
+    tmp(il:ni,il:ni) = -transpose ( &
+                          matmul ( h(il:ni,il:ni), &
+                                   matmul ( &
+                                     transpose ( d(il:ni,il:ni) ), &
+                                     matmul ( b(il:ni,il:ni), &
+                                              d(il:ni,il:ni) ) ) ) )
+
+    a(il:ni,center+1:ni) = tmp(il:ni,center+1:ni)
+
+  end if
+
+  idel = epsilon / ( 64 * delta(1) )
+
+  if ( bb(1) == 0 ) then
+
+    il = 1 + gsize(1)
+
+  else
+
+    rhs(1,:,:) = rhs(1,:,:) + &
+                 ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
+                   a(3,1) * var(3,:,:) + a(4,1) * var(4,:,:) ) * idel
+    rhs(2,:,:) = rhs(2,:,:) + &
+                 ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
+                   a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) + &
+                   a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + &
+                   a(7,2) * var(7,:,:) + a(8,2) * var(8,:,:) ) * idel
+    rhs(3,:,:) = rhs(3,:,:) + &
+                 ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + &
+                   a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + &
+                   a(5,3) * var(5,:,:) + a(6,3) * var(6,:,:) + &
+                   a(7,3) * var(7,:,:) + a(8,3) * var(8,:,:) ) * idel
+    rhs(4,:,:) = rhs(4,:,:) + &
+                 ( a(1,4) * var(1,:,:) + a(2,4) * var(2,:,:) + &
+                   a(3,4) * var(3,:,:) + a(4,4) * var(4,:,:) + &
+                   a(5,4) * var(5,:,:) + a(6,4) * var(6,:,:) + &
+                   a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) ) * idel
+    rhs(5,:,:) = rhs(5,:,:) + &
+                 ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + &
+                   a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + &
+                   a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + &
+                   a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) ) * idel
+
+    il = 6
+
+  end if
+
+  if ( bb(2) == 0 ) then
+
+    ir = ni - gsize(1)
+
+  else
+
+    rhs(ni-4,:,:) = rhs(ni-4,:,:) + &
+                    ( a(ni-7,ni-4) * var(ni-7,:,:) + &
+                      a(ni-6,ni-4) * var(ni-6,:,:) + &
+                      a(ni-5,ni-4) * var(ni-5,:,:) + &
+                      a(ni-4,ni-4) * var(ni-4,:,:) + &
+                      a(ni-3,ni-4) * var(ni-3,:,:) + &
+                      a(ni-2,ni-4) * var(ni-2,:,:) + &
+                      a(ni-1,ni-4) * var(ni-1,:,:) + &
+                      a(ni,ni-4) * var(ni,:,:) ) * idel
+    rhs(ni-3,:,:) = rhs(ni-3,:,:) + &
+                    ( a(ni-7,ni-3) * var(ni-7,:,:) + &
+                      a(ni-6,ni-3) * var(ni-6,:,:) + &
+                      a(ni-5,ni-3) * var(ni-5,:,:) + &
+                      a(ni-4,ni-3) * var(ni-4,:,:) + &
+                      a(ni-3,ni-3) * var(ni-3,:,:) + &
+                      a(ni-2,ni-3) * var(ni-2,:,:) + &
+                      a(ni-1,ni-3) * var(ni-1,:,:) + &
+                      a(ni,ni-3) * var(ni,:,:) ) * idel
+    rhs(ni-2,:,:) = rhs(ni-2,:,:) + &
+                    ( a(ni-7,ni-2) * var(ni-7,:,:) + &
+                      a(ni-6,ni-2) * var(ni-6,:,:) + &
+                      a(ni-5,ni-2) * var(ni-5,:,:) + &
+                      a(ni-4,ni-2) * var(ni-4,:,:) + &
+                      a(ni-3,ni-2) * var(ni-3,:,:) + &
+                      a(ni-2,ni-2) * var(ni-2,:,:) + &
+                      a(ni-1,ni-2) * var(ni-1,:,:) + &
+                      a(ni,ni-2) * var(ni,:,:) ) * idel
+    rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
+                    ( a(ni-7,ni-1) * var(ni-7,:,:) + &
+                      a(ni-6,ni-1) * var(ni-6,:,:) + &
+                      a(ni-5,ni-1) * var(ni-5,:,:) + &
+                      a(ni-4,ni-1) * var(ni-4,:,:) + &
+                      a(ni-3,ni-1) * var(ni-3,:,:) + &
+                      a(ni-2,ni-1) * var(ni-2,:,:) + &
+                      a(ni-1,ni-1) * var(ni-1,:,:) + &
+                      a(ni,ni-1) * var(ni,:,:) ) * idel
+    rhs(ni,:,:)   = rhs(ni,:,:) + &
+                    ( a(ni-3,ni) * var(ni-3,:,:) + &
+                      a(ni-2,ni) * var(ni-2,:,:) + &
+                      a(ni-1,ni) * var(ni-1,:,:) + &
+                      a(ni,ni) * var(ni,:,:) ) * idel
+
+    ir = ni - 5
+
+  end if
+
+  do i = il, ir
+
+    rhs(i,:,:) = rhs(i,:,:) + &
+                   ( a(i-3,i) * var(i-3,:,:) + &
+                     a(i-2,i) * var(i-2,:,:) + &
+                     a(i-1,i) * var(i-1,:,:) + &
+                     a(i,i) * var(i,:,:) + &
+                     a(i+1,i) * var(i+1,:,:) + &
+                     a(i+2,i) * var(i+2,:,:) + &
+                     a(i+3,i) * var(i+3,:,:) ) * idel
+
+  end do
+
+  deallocate ( a, d, b, h, tmp )
+
+  allocate ( a(nj,nj), d(nj,nj), b(nj,nj), h(nj,nj), tmp(nj,nj) )
+  a = zero; d = zero; b = zero; h = zero;
+
+  call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2), lbnd(2), delta(2), dfl )
+  
+  call set_hmatrix ( h, bb(3:4) )
+
+  if ( any ( bb(3:4) == 0 ) ) then
+
+    call set_dmatrix ( d, bb(3:4) )
+
+    a = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
+
+  else
+
+    if ( lsh(2) /= gsh(2) ) then
+      call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
+    end if
+
+    center = gsh(2) / 2
+    jr = center + max(3,gsize(2))
+
+    call set_dmatrix_half ( d(1:jr,1:jr), 1 )
+
+    tmp(1:jr,1:jr) = -transpose ( &
+                        matmul ( h(1:jr,1:jr), &
+                                 matmul ( &
+                                   transpose ( d(1:jr,1:jr) ), &
+                                    matmul ( b(1:jr,1:jr), &
+                                             d(1:jr,1:jr) ) ) ) )
+
+    a(1:jr,1:center) = tmp(1:jr,1:center)
+
+    jl = center + 1 - max(3,gsize(2))
+    d = zero
+    call set_dmatrix_half ( d(jl:nj,jl:nj), 2 )
+    tmp(jl:nj,jl:nj) = -transpose ( &
+                          matmul ( h(jl:nj,jl:nj), &
+                                   matmul ( &
+                                     transpose ( d(jl:nj,jl:nj) ), &
+                                     matmul ( b(jl:nj,jl:nj), &
+                                              d(jl:nj,jl:nj) ) ) ) )
+
+    a(jl:nj,center+1:nj) = tmp(jl:nj,center+1:nj)
+
+  end if
+
+  idel = epsilon / ( 64 * delta(2) )
+ 
+
+  if ( bb(3) == 0 ) then
+
+    jl = 1 + gsize(2)
+
+  else
+
+    rhs(:,1,:) = rhs(:,1,:) + &
+                 ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
+                   a(3,1) * var(:,3,:) + a(4,1) * var(:,4,:) ) * idel
+    rhs(:,2,:) = rhs(:,2,:) + &
+                 ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
+                   a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) + &
+                   a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + &
+                   a(7,2) * var(:,7,:) + a(8,2) * var(:,8,:) ) * idel
+    rhs(:,3,:) = rhs(:,3,:) + &
+                 ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + &
+                   a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + &
+                   a(5,3) * var(:,5,:) + a(6,3) * var(:,6,:) + &
+                   a(7,3) * var(:,7,:) + a(8,3) * var(:,8,:) ) * idel
+    rhs(:,4,:) = rhs(:,4,:) + &
+                 ( a(1,4) * var(:,1,:) + a(2,4) * var(:,2,:) + &
+                   a(3,4) * var(:,3,:) + a(4,4) * var(:,4,:) + &
+                   a(5,4) * var(:,5,:) + a(6,4) * var(:,6,:) + &
+                   a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) ) * idel
+    rhs(:,5,:) = rhs(:,5,:) + &
+                 ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + &
+                   a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + &
+                   a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + &
+                   a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) ) * idel
+
+    jl = 6
+
+  end if
+
+  if ( bb(4) == 0 ) then
+
+    jr = nj - gsize(2)
+
+  else
+
+    rhs(:,nj-4,:) = rhs(:,nj-4,:) + &
+                    ( a(nj-7,nj-4) * var(:,nj-7,:) + &
+                      a(nj-6,nj-4) * var(:,nj-6,:) + &
+                      a(nj-5,nj-4) * var(:,nj-5,:) + &
+                      a(nj-4,nj-4) * var(:,nj-4,:) + &
+                      a(nj-3,nj-4) * var(:,nj-3,:) + &
+                      a(nj-2,nj-4) * var(:,nj-2,:) + &
+                      a(nj-1,nj-4) * var(:,nj-1,:) + &
+                      a(nj,nj-4) * var(:,nj,:) ) * idel
+    rhs(:,nj-3,:) = rhs(:,nj-3,:) + &
+                    ( a(nj-7,nj-3) * var(:,nj-7,:) + &
+                      a(nj-6,nj-3) * var(:,nj-6,:) + &
+                      a(nj-5,nj-3) * var(:,nj-5,:) + &
+                      a(nj-4,nj-3) * var(:,nj-4,:) + &
+                      a(nj-3,nj-3) * var(:,nj-3,:) + &
+                      a(nj-2,nj-3) * var(:,nj-2,:) + &
+                      a(nj-1,nj-3) * var(:,nj-1,:) + &
+                      a(nj,nj-3) * var(:,nj,:) ) * idel
+    rhs(:,nj-2,:) = rhs(:,nj-2,:) + &
+                    ( a(nj-7,nj-2) * var(:,nj-7,:) + &
+                      a(nj-6,nj-2) * var(:,nj-6,:) + &
+                      a(nj-5,nj-2) * var(:,nj-5,:) + &
+                      a(nj-4,nj-2) * var(:,nj-4,:) + &
+                      a(nj-3,nj-2) * var(:,nj-3,:) + &
+                      a(nj-2,nj-2) * var(:,nj-2,:) + &
+                      a(nj-1,nj-2) * var(:,nj-1,:) + &
+                      a(nj,nj-2) * var(:,nj,:) ) * idel
+    rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
+                    ( a(nj-7,nj-1) * var(:,nj-7,:) + &
+                      a(nj-6,nj-1) * var(:,nj-6,:) + &
+                      a(nj-5,nj-1) * var(:,nj-5,:) + &
+                      a(nj-4,nj-1) * var(:,nj-4,:) + &
+                      a(nj-3,nj-1) * var(:,nj-3,:) + &
+                      a(nj-2,nj-1) * var(:,nj-2,:) + &
+                      a(nj-1,nj-1) * var(:,nj-1,:) + &
+                      a(nj,nj-1) * var(:,nj,:) ) * idel
+    rhs(:,nj,:)   = rhs(:,nj,:) + &
+                    ( a(nj-3,nj) * var(:,nj-3,:) + &
+                      a(nj-2,nj) * var(:,nj-2,:) + &
+                      a(nj-1,nj) * var(:,nj-1,:) + &
+                      a(nj,nj) * var(:,nj,:) ) * idel
+
+    jr = nj - 5
+
+  end if
+
+  do j = jl, jr
+
+    rhs(:,j,:) = rhs(:,j,:) + &
+                   ( a(j-3,j) * var(:,j-3,:) + &
+                     a(j-2,j) * var(:,j-2,:) + &
+                     a(j-1,j) * var(:,j-1,:) + &
+                     a(j,j) * var(:,j,:) + &
+                     a(j+1,j) * var(:,j+1,:) + &
+                     a(j+2,j) * var(:,j+2,:) + &
+                     a(j+3,j) * var(:,j+3,:) ) * idel
+
+  end do
+
+  deallocate ( a, d, b, h, tmp )
+
+  allocate ( a(nk,nk), d(nk,nk), b(nk,nk), h(nk,nk), tmp(nk,nk) )
+  a = zero; d = zero; b = zero; h = zero; tmp = zero
+
+  call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3), lbnd(3), delta(3), dfl )
+
+  call set_hmatrix ( h, bb(5:6) )
+
+  if ( any ( bb(5:6) == 0 ) ) then
+
+    call set_dmatrix ( d, bb(5:6) )
+
+    a = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) )
+
+  else
+
+    if ( lsh(3) /= gsh(3) ) then
+      call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' )
+    end if
+
+    center = gsh(3) / 2
+    kr = center + max(3,gsize(3))
+
+    call set_dmatrix_half ( d(1:kr,1:kr), 1 )
+
+    tmp(1:kr,1:kr) = -transpose ( &
+                        matmul ( h(1:kr,1:kr), &
+                                 matmul ( &
+                                   transpose ( d(1:kr,1:kr) ), &
+                                    matmul ( b(1:kr,1:kr), &
+                                             d(1:kr,1:kr) ) ) ) )
+
+    a(1:kr,1:center) = tmp(1:kr,1:center)
+
+    kl = center + 1 - max(3,gsize(3))
+    d = zero
+    call set_dmatrix_half ( d(kl:nk,kl:nk), 2 )
+    tmp(kl:nk,kl:nk) = -transpose ( &
+                          matmul ( h(kl:nk,kl:nk), &
+                                   matmul ( &
+                                     transpose ( d(kl:nk,kl:nk) ), &
+                                     matmul ( b(kl:nk,kl:nk), &
+                                              d(kl:nk,kl:nk) ) ) ) )
+
+    a(kl:nk,center+1:nk) = tmp(kl:nk,center+1:nk)
+
+  end if
+
+  idel = epsilon / ( 64 * delta(3) )
+
+  if ( bb(5) == 0 ) then
+
+    kl = 1 + gsize(3)
+
+  else
+
+    rhs(:,:,1) = rhs(:,:,1) + &
+                 ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
+                   a(3,1) * var(:,:,3) + a(4,1) * var(:,:,4) ) * idel
+    rhs(:,:,2) = rhs(:,:,2) + &
+                 ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
+                   a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) + &
+                   a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + &
+                   a(7,2) * var(:,:,7) + a(8,2) * var(:,:,8) ) * idel
+    rhs(:,:,3) = rhs(:,:,3) + &
+                 ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + &
+                   a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + &
+                   a(5,3) * var(:,:,5) + a(6,3) * var(:,:,6) + &
+                   a(7,3) * var(:,:,7) + a(8,3) * var(:,:,8) ) * idel
+    rhs(:,:,4) = rhs(:,:,4) + &
+                 ( a(1,4) * var(:,:,1) + a(2,4) * var(:,:,2) + &
+                   a(3,4) * var(:,:,3) + a(4,4) * var(:,:,4) + &
+                   a(5,4) * var(:,:,5) + a(6,4) * var(:,:,6) + &
+                   a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) ) * idel
+    rhs(:,:,5) = rhs(:,:,5) + &
+                 ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + &
+                   a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + &
+                   a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + &
+                   a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) ) * idel
+
+    kl = 6
+
+  end if
+
+  if ( bb(6) == 0 ) then
+
+    kr = nk - gsize(3)
+
+  else
+
+    rhs(:,:,nk-4) = rhs(:,:,nk-4) + &
+                    ( a(nk-7,nk-4) * var(:,:,nk-7) + &
+                      a(nk-6,nk-4) * var(:,:,nk-6) + &
+                      a(nk-5,nk-4) * var(:,:,nk-5) + &
+                      a(nk-4,nk-4) * var(:,:,nk-4) + &
+                      a(nk-3,nk-4) * var(:,:,nk-3) + &
+                      a(nk-2,nk-4) * var(:,:,nk-2) + &
+                      a(nk-1,nk-4) * var(:,:,nk-1) + &
+                      a(nk,nk-4) * var(:,:,nk) ) * idel
+    rhs(:,:,nk-3) = rhs(:,:,nk-3) + &
+                    ( a(nk-7,nk-3) * var(:,:,nk-7) + &
+                      a(nk-6,nk-3) * var(:,:,nk-6) + &
+                      a(nk-5,nk-3) * var(:,:,nk-5) + &
+                      a(nk-4,nk-3) * var(:,:,nk-4) + &
+                      a(nk-3,nk-3) * var(:,:,nk-3) + &
+                      a(nk-2,nk-3) * var(:,:,nk-2) + &
+                      a(nk-1,nk-3) * var(:,:,nk-1) + &
+                      a(nk,nk-3) * var(:,:,nk) ) * idel
+    rhs(:,:,nk-2) = rhs(:,:,nk-2) + &
+                    ( a(nk-7,nk-2) * var(:,:,nk-7) + &
+                      a(nk-6,nk-2) * var(:,:,nk-6) + &
+                      a(nk-5,nk-2) * var(:,:,nk-5) + &
+                      a(nk-4,nk-2) * var(:,:,nk-4) + &
+                      a(nk-3,nk-2) * var(:,:,nk-3) + &
+                      a(nk-2,nk-2) * var(:,:,nk-2) + &
+                      a(nk-1,nk-2) * var(:,:,nk-1) + &
+                      a(nk,nk-2) * var(:,:,nk) ) * idel
+    rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
+                    ( a(nk-7,nk-1) * var(:,:,nk-7) + &
+                      a(nk-6,nk-1) * var(:,:,nk-6) + &
+                      a(nk-5,nk-1) * var(:,:,nk-5) + &
+                      a(nk-4,nk-1) * var(:,:,nk-4) + &
+                      a(nk-3,nk-1) * var(:,:,nk-3) + &
+                      a(nk-2,nk-1) * var(:,:,nk-2) + &
+                      a(nk-1,nk-1) * var(:,:,nk-1) + &
+                      a(nk,nk-1) * var(:,:,nk) ) * idel
+    rhs(:,:,nk)   = rhs(:,:,nk) + &
+                    ( a(nk-3,nk) * var(:,:,nk-3) + &
+                      a(nk-2,nk) * var(:,:,nk-2) + &
+                      a(nk-1,nk) * var(:,:,nk-1) + &
+                      a(nk,nk) * var(:,:,nk) ) * idel
+
+    kr = nk - 5
+
+  end if
+
+  do k = kl, kr
+
+    rhs(:,:,k) = rhs(:,:,k) + &
+                   ( a(k-3,k) * var(:,:,k-3) + &
+                     a(k-2,k) * var(:,:,k-2) + &
+                     a(k-1,k) * var(:,:,k-1) + &
+                     a(k,k) * var(:,:,k) + &
+                     a(k+1,k) * var(:,:,k+1) + &
+                     a(k+2,k) * var(:,:,k+2) + &
+                     a(k+3,k) * var(:,:,k+3) ) * idel
+
+  end do
+
+  deallocate ( a, d, b, h, tmp )
+
+contains
+
+  subroutine set_dmatrix ( d, bb )
+
+    implicit none
+
+    CCTK_REAL, dimension(:,:), intent(out) :: d
+    CCTK_INT, dimension(2), intent(in) :: bb
+    CCTK_INT :: n
+    CCTK_REAL, dimension(4), save :: ac = (/ -1.0_wp, 3.0_wp, -3.0_wp, 1.0_wp /)
+    CCTK_INT :: i
+
+    n = size(d,1)
+
+    if ( any(bb /= 0) ) then
+
+      if ( bb(1) /= 0 ) then
+
+        d(1,1:4) = ac
+        d(2,1:4) = ac
+
+        do i = 3, n-1
+          d(i,i-2:i+1) = ac
+        end do
+
+        d(n,n-2:n) = ac(1:3)
+
+      else
+
+        d(1,1:3) = ac(2:4)
+
+        do i = 2, n-2
+          d(i,i-1:i+2) = ac
+        end do
+
+        d(n-1,n-3:n) = ac
+        d(n,n-3:n) = ac
+
+      end if
+
+    else
+
+      d(1,1:2) = ac(3:4)
+      d(2,1:3) = ac(2:4)
+
+      do i = 3, n-1
+        d(i,i-2:i+1) = ac
+      end do
+
+      d(n,n-2:n) = ac(1:3)
+
+    end if
+
+  end subroutine set_dmatrix
+
+
+  subroutine set_dmatrix_half ( d, part )
+
+    implicit none
+
+    CCTK_REAL, dimension(:,:), intent(out) :: d
+    CCTK_INT, intent(in) :: part
+    CCTK_INT :: n
+    CCTK_REAL, dimension(4), save :: ac = (/ -1.0_wp, 3.0_wp, -3.0_wp, 1.0_wp /)
+    CCTK_INT :: i
+
+    n = size(d,1)
+
+    if ( part == 1 ) then
+
+      d(1,1:4) = ac
+      d(2,1:4) = ac
+
+      do i = 3, n-1
+        d(i,i-2:i+1) = ac
+      end do
+
+      d(n,n-2:n) = ac(1:3)
+
+    else if ( part == 2 ) then
+
+      d(1,1:3) = ac(2:4)
+
+      do i = 2, n-2
+        d(i,i-1:i+2) = ac
+      end do
+
+      d(n-1,n-3:n) = ac
+      d(n,n-3:n) = ac
+
+    end if
+
+  end subroutine set_dmatrix_half
+
+
+  subroutine set_bmatrix ( b, bb, lsh, gsh, lbnd, h, dfl )
+
+    implicit none
+
+    CCTK_REAL, dimension(:,:), intent(out) :: b
+    CCTK_INT, dimension(2), intent(in) :: bb
+    CCTK_INT, intent(in) :: lsh, gsh, lbnd
+    CCTK_REAL, intent(in) :: h, dfl
+    CCTK_INT :: n, nwt
+    CCTK_INT :: i
+    CCTK_REAL :: xp, xmax
+
+    CCTK_REAL :: zero = 0.0
+    integer, parameter :: wp = kind(zero)
+
+    n = size(b,1)
+    xp = ( gsh - 1 ) * dfl - 1
+
+    do i = 1, n
+      b(i,i) = bf ( real(i+lbnd-1,wp), xp, real(gsh-1,wp), h )
+    end do
+
+  end subroutine set_bmatrix
+    
+
+  subroutine set_hmatrix ( h, bb )
+
+    implicit none
+
+    CCTK_REAL, dimension(:,:), intent(out) :: h
+    CCTK_INT, dimension(2), intent(in) :: bb
+    CCTK_INT :: n, i
+
+    CCTK_REAL :: zero = 0.0
+    integer, parameter :: wp = kind(zero)
+
+    n = size(h,1)
+
+    do i = 1, n
+      h(i,i) = 1.0_wp
+    end do
+
+    if ( bb(1) /= 0 ) then
+      h(1:5,1:5) = sigma ( )
+    end if
+
+    if ( bb(2) /= 0 ) then
+      h(n:n-4:-1,n:n-4:-1) = sigma ( )
+    end if
+
+  end subroutine set_hmatrix
+    
+  function bf ( x, xp, xmax, h )
+
+    implicit none
+
+    CCTK_REAL :: bf
+    CCTK_REAL, intent(in) :: x, xp, xmax, h
+
+    CCTK_REAL :: zero = 0.0
+    integer, parameter :: wp = kind(zero)
+
+    if ( x < xp ) then
+      bf = ( 1.0_wp - h ) / xp * x + h
+    else if ( x > xmax - xp ) then
+      bf = ( h - 1.0_wp ) / xp * ( x + xp - xmax ) + 1
+    else
+      bf = 1.0_wp
+    end if
+
+  end function bf
+
+  function sigma ( )
+
+    implicit none
+
+    CCTK_REAL, dimension(5,5) :: sigma
+
+    CCTK_REAL :: zero = 0.0
+    integer, parameter :: wp = kind(zero)
+
+    sigma(1,1) = 4.186595370392226897362216859769846226369_wp
+    sigma(2,1) = 0_wp
+    sigma(3,1) = 0_wp
+    sigma(4,1) = 0_wp
+    sigma(5,1) = 0_wp
+    sigma(1,2) = 0_wp
+    sigma(2,2) = 0.6725191921225620731888714836983116420871_wp
+    sigma(3,2) = 0.3613418181134949259370502966736306984367_wp
+    sigma(4,2) = -0.2021316117293899791481674539631879662707_wp
+    sigma(5,2) = 0.03455320708729270824077678274955265350304_wp
+    sigma(1,3) = 0_wp
+    sigma(2,3) = 0.3613418181134949259370502966736306984367_wp
+    sigma(3,3) = 0.7206133711630147057720442098623847362950_wp
+    sigma(4,3) = 0.1376472340546569368321616389764958792591_wp
+    sigma(5,3) = -0.04136405531324488624637892257286207044784_wp
+    sigma(1,4) = 0_wp
+    sigma(2,4) = -0.2021316117293899791481674539631879662707_wp
+    sigma(3,4) = 0.1376472340546569368321616389764958792591_wp
+    sigma(4,4) = 0.9578653607931026822074133441449909689509_wp
+    sigma(5,4) = 0.02069353627247161734563597102894256809696_wp
+    sigma(1,5) = 0_wp
+    sigma(2,5) = 0.03455320708729270824077678274955265350304_wp
+    sigma(3,5) = -0.04136405531324488624637892257286207044784_wp
+    sigma(4,5) = 0.02069353627247161734563597102894256809696_wp
+    sigma(5,5) = 0.9908272703370861473007798925906968380654_wp
+
+  end function sigma
+
+end subroutine dissipation_4_3_alt
diff --git a/src/dissipation.c b/src/dissipation.c
index 9c8a8a9..cc93b33 100644
--- a/src/dissipation.c
+++ b/src/dissipation.c
@@ -233,9 +233,15 @@ apply (int const varindex, char const * const optstring, void * const arg)
   } else {
     switch(order) {
     case 4: {
+      if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) {
       CCTK_FNAME(dissipation_4_3_opt)
         (varptr, cctk_lsh, cctk_gsh, cctk_lbnd,
                             bbox, gsize, dx, &epsdis, &diss_fraction, rhsptr);
+      } else {
+      CCTK_FNAME(dissipation_4_3_alt)
+        (varptr, cctk_lsh, cctk_gsh, cctk_lbnd,
+                            bbox, gsize, dx, &epsdis, &diss_fraction, rhsptr);
+      }
       break;
     }
     case 6: {
diff --git a/src/make.code.defn b/src/make.code.defn
index 50857c5..44c5741 100644
--- a/src/make.code.defn
+++ b/src/make.code.defn
@@ -27,6 +27,7 @@ SRCS =  call_derivs.c \
         Dissipation_8_4.F90 \
         Dissipation_8_4_alt.F90 \
         Dissipation_4_3_min_err_coeff.F90 \
+        Dissipation_4_3_min_err_coeff_alt.F90 \
         Dissipation_6_5_min_err_coeff.F90 \
         Dissipation_6_5_min_err_coeff_alt.F90 \
         get_coeffs.c \