restore all integrators, work on oscillation

src/lib/foodie.f90

@@ -75,6 +75,7 @@ module foodie
 use foodie_integrator_lmm_ssp_vss, only : integrator_lmm_ssp_vss
 use foodie_integrator_ms_runge_kutta_ssp, only : integrator_ms_runge_kutta_ssp
 use foodie_integrator_multistage_object, only : integrator_multistage_object
+use foodie_integrator_multistage_multistep_object, only : integrator_multistage_multistep_object
 use foodie_integrator_multistep_object, only : integrator_multistep_object
 use foodie_integrator_runge_kutta_emd, only : integrator_runge_kutta_emd
 use foodie_integrator_runge_kutta_low_storage, only : integrator_runge_kutta_ls
@@ -95,6 +96,7 @@ module foodie
 public :: integrand_object
 public :: integrator_object
 public :: integrator_multistage_object
+public :: integrator_multistage_multistep_object
 public :: integrator_multistep_object
 ! concrete objects
 public :: integrator_adams_bashforth
@@ -225,7 +227,7 @@ subroutine foodie_integrator_factory(scheme, integrator, stages, tolerance, nu,
     allocate(integrator_ms_runge_kutta_ssp :: integrator)
     select type(integrator)
     type is(integrator_ms_runge_kutta_ssp)
-      call integrator%initialize(scheme=scheme)
+      call integrator%initialize(scheme=scheme, iterations=iterations, autoupdate=autoupdate, U=U)
     endselect
   elseif (index(trim(adjustl(scheme)), trim(int_runge_kutta_emd%class_name())) > 0) then
     allocate(integrator_runge_kutta_emd :: integrator)

src/lib/foodie_integrator_adams_bashforth_moulton.f90

@@ -195,18 +195,18 @@ subroutine integrate(self, U, Dt, t)
 
   do s=1, self%steps
      self%predictor%previous(s) = self%previous(s)
+     self%predictor%t(s) = self%t(s)
+     self%predictor%Dt(s) = self%Dt(s)
   enddo
-  self%predictor%t(:) = self%t(1:self%steps)
-  self%predictor%Dt(:) = self%Dt(1:self%steps)
   do s=1, self%steps - 1
-     self%corrector%previous(s) = self%previous(s+1)
+     self%corrector%previous(s) = self%predictor%previous(s+1)
+     self%corrector%t(s) = self%predictor%t(s+1)
+     self%corrector%Dt(s) = self%predictor%Dt(s+1)
   enddo
-  self%corrector%t(:) = self%t(2:self%steps)
-  self%corrector%Dt(:) = self%Dt(2:self%steps)
   call self%predictor%integrate(U=U, Dt=Dt, t=t)
   call self%corrector%integrate(U=U, Dt=Dt, t=t)
   if (self%autoupdate) &
-     call self%update_previous(U=U, previous=self%previous(1:self%steps), Dt=Dt, t=t, previous_t=self%t(1:self%steps))
+     call self%update_previous(U=U, previous=self%previous, Dt=Dt, t=t, previous_t=self%t)
   endsubroutine integrate
 
   subroutine integrate_fast(self, U, Dt, t)
@@ -290,7 +290,7 @@ subroutine initialize(self, scheme, iterations, autoupdate, U, stop_on_fail)
     call self%predictor%initialize(scheme=schemes_ab(scheme_number_), U=U, autoupdate=.false.)
     call self%corrector%initialize(scheme=schemes_am(scheme_number_), U=U, iterations=self%iterations, autoupdate=.false.)
     self%steps = self%predictor%steps_number()
-    self%registers = self%steps + 1
+    self%registers = self%steps
     if (present(U)) call self%allocate_integrand_members(U=U)
   else
     call self%trigger_error(error=ERROR_UNSUPPORTED_SCHEME,                                   &