subroutine imk_integrate(this, lev, qSDC, fSDC, dt, fintSDC, flags)
class(pf_imk_t), intent(inout) :: this
class(pf_level_t), intent(in ) :: lev
class(pf_encap_t), intent(in ) :: qSDC(:), fSDC(:, :)
real(pfdp), intent(in ) :: dt
class(pf_encap_t), intent(inout) :: fintSDC(:)
integer, optional, intent(in) :: flags
integer :: j, m
do m = 1, lev%nnodes-1
call fintSDC(m)%setval(0.0_pfdp)
do j = 1, lev%nnodes
call fintSDC(m)%axpy(dt*lev%sdcmats%qmat(m,j), fSDC(j,1))
end do
end do
end subroutine imk_integrate