ode_sl_ms_mod Module Reference

MULTISTEP SOLVERS FOR SEMILINEAR ODEs More...

Functions/Subroutines
logical function, public	check_ode_method_sl_ms (method)
	is 'method' a multi-step semilinear ODE solver ? More...
subroutine, public	memsize_ode_sl_ms (n_V, n_FY, method)
	required sizes to allocate memory More...
subroutine, public	set_solver_ode_sl_ms (slv, method)
	set the resolution solver More...
subroutine, public	create_ode_sl_ms_sol (sol, pb, method)
	create memory for the ode_solution structure 'sol' More...
subroutine, public	solve_ode_sl_ms (sol, pb, t0, T, dt, method, out, check_overflow, Kinv, kry)
	solve with constant time-step Case where pbN = 1 More...
subroutine	sl_ms_fbe (sol, ierr, dt, pb, KInv)
	FORWARD/BacWard Euler. More...
subroutine	sl_ms_fe (sol, ierr, dt, pb, KInv)
	FORWARD Euler. More...
subroutine	sl_ms_cnab2 (sol, ierr, dt, pb, KInv)
	CN/AB2. More...
subroutine	sl_ms_mcnab2 (sol, ierr, dt, pb, KInv)
	Modified-CN/AB2. More...
subroutine	sl_ms_bdfsbdf2 (sol, ierr, dt, pb, KInv)
	BDF2/SBDF2. More...
subroutine	sl_ms_bdfsbdf3 (sol, ierr, dt, pb, KInv)
	BDF3/SBDF3. More...
subroutine	sl_ms_bdfsbdf4 (sol, ierr, dt, pb, KInv)
	BDF4/SBDF4. More...
subroutine	sl_ms_bdfsbdf5 (sol, ierr, dt, pb, KInv)
	BDF5/SBDF5. More...

Variables
real(rp), parameter	c4_3 = 4._RP / 3._RP
real(rp), parameter	c2_3 = 2._RP / 3._RP
real(rp), parameter	c_3 = 1._RP / 3._RP
real(rp), parameter	c2_11 = 2._RP / 11._RP
real(rp), parameter	c6_11 = 6._RP / 11._RP
real(rp), parameter	c9_11 = 9._RP / 11._RP
real(rp), parameter	c18_11 = 18._RP / 11._RP
real(rp), parameter	c3_25 = 3._RP / 25._RP
real(rp), parameter	c12_25 = 12._RP / 25._RP
real(rp), parameter	c16_25 = 16._RP / 25._RP
real(rp), parameter	c36_25 = 36._RP / 25._RP
real(rp), parameter	c48_25 = 48._RP / 25._RP
real(rp), parameter	c72_25 = 72._RP / 25._RP
real(rp), parameter	c12_137 = 12._RP /137._RP
real(rp), parameter	c60_137 = 60._RP /137._RP
real(rp), parameter	c75_137 = 75._RP /137._RP
real(rp), parameter	c200_137 = 200._RP /137._RP
real(rp), parameter	c300_137 = 300._RP /137._RP
real(rp), parameter	c600_137 = 600._RP /137._RP

Detailed Description

MULTISTEP SOLVERS FOR SEMILINEAR ODEs

Multistep solvers for ODE_PB_SL, see ode_problem_mod detailed description.

Author

Charles Pierre

Function/Subroutine Documentation

check_ode_method_sl_ms()

logical function, public ode_sl_ms_mod::check_ode_method_sl_ms

(

integer, intent(in)

method

)

is 'method' a multi-step semilinear ODE solver ?

Definition at line 59 of file ode_SL_ms_mod.f90.

create_ode_sl_ms_sol()

subroutine, public ode_sl_ms_mod::create_ode_sl_ms_sol	(	type(ode_solution), intent(inout)	sol,
		type(ode_problem), intent(in)	pb,
		integer, intent(in)	method
	)

create memory for the ode_solution structure 'sol'

Definition at line 148 of file ode_SL_ms_mod.f90.

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memsize_ode_sl_ms()

subroutine, public ode_sl_ms_mod::memsize_ode_sl_ms	(	integer, intent(out)	n_V,
		integer, intent(out)	n_FY,
		integer, intent(in)	method
	)

required sizes to allocate memory

returns iY, iFY depending on the method

• n_V = required size for V
• n_FY = required size for AY, BY

Definition at line 82 of file ode_SL_ms_mod.f90.

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set_solver_ode_sl_ms()

subroutine, public ode_sl_ms_mod::set_solver_ode_sl_ms	(	procedure(ode_lin_solver), pointer	slv,
		integer, intent(in)	method
	)

set the resolution solver

Definition at line 116 of file ode_SL_ms_mod.f90.

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sl_ms_bdfsbdf2()

subroutine ode_sl_ms_mod::sl_ms_bdfsbdf2 ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

BDF2/SBDF2.

Definition at line 585 of file ode_SL_ms_mod.f90.

sl_ms_bdfsbdf3()

subroutine ode_sl_ms_mod::sl_ms_bdfsbdf3 ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

BDF3/SBDF3.

Definition at line 633 of file ode_SL_ms_mod.f90.

sl_ms_bdfsbdf4()

subroutine ode_sl_ms_mod::sl_ms_bdfsbdf4 ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

BDF4/SBDF4.

Definition at line 689 of file ode_SL_ms_mod.f90.

sl_ms_bdfsbdf5()

subroutine ode_sl_ms_mod::sl_ms_bdfsbdf5 ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

BDF5/SBDF5.

Definition at line 748 of file ode_SL_ms_mod.f90.

sl_ms_cnab2()

subroutine ode_sl_ms_mod::sl_ms_cnab2 ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

CN/AB2.

Definition at line 466 of file ode_SL_ms_mod.f90.

sl_ms_fbe()

subroutine ode_sl_ms_mod::sl_ms_fbe ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

FORWARD/BacWard Euler.

Definition at line 397 of file ode_SL_ms_mod.f90.

sl_ms_fe()

subroutine ode_sl_ms_mod::sl_ms_fe ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

FORWARD Euler.

Definition at line 430 of file ode_SL_ms_mod.f90.

sl_ms_mcnab2()

subroutine ode_sl_ms_mod::sl_ms_mcnab2 ( type(ode_solution), intent(inout)  sol, logical, intent(out)  ierr, real(rp), intent(in)  dt, type(ode_problem), intent(in)  pb, procedure(linsystem_solver)  KInv  )

private

Modified-CN/AB2.

Definition at line 515 of file ode_SL_ms_mod.f90.

solve_ode_sl_ms()

subroutine, public ode_sl_ms_mod::solve_ode_sl_ms	(	type(ode_solution), intent(inout)	sol,
		type(ode_problem), intent(in)	pb,
		real(rp), intent(in)	t0,
		real(rp), intent(in)	T,
		real(rp), intent(in)	dt,
		integer, intent(in)	method,
		procedure(ode_output_proc)	out,
		logical, intent(in)	check_overflow,
		procedure(linsystem_solver), optional	Kinv,
		type(krylov), optional	kry
	)

solve with constant time-step Case where pbN = 1

Definition at line 173 of file ode_SL_ms_mod.f90.

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Variable Documentation

c12_137

real(rp), parameter ode_sl_ms_mod::c12_137 = 12._RP /137._RP

private

Definition at line 48 of file ode_SL_ms_mod.f90.

c12_25

real(rp), parameter ode_sl_ms_mod::c12_25 = 12._RP / 25._RP

private

Definition at line 43 of file ode_SL_ms_mod.f90.

c16_25

real(rp), parameter ode_sl_ms_mod::c16_25 = 16._RP / 25._RP

private

Definition at line 44 of file ode_SL_ms_mod.f90.

c18_11

real(rp), parameter ode_sl_ms_mod::c18_11 = 18._RP / 11._RP

private

Definition at line 41 of file ode_SL_ms_mod.f90.

c200_137

real(rp), parameter ode_sl_ms_mod::c200_137 = 200._RP /137._RP

private

Definition at line 51 of file ode_SL_ms_mod.f90.

c2_11

real(rp), parameter ode_sl_ms_mod::c2_11 = 2._RP / 11._RP

private

Definition at line 38 of file ode_SL_ms_mod.f90.

c2_3

real(rp), parameter ode_sl_ms_mod::c2_3 = 2._RP / 3._RP

private

Definition at line 36 of file ode_SL_ms_mod.f90.

c300_137

real(rp), parameter ode_sl_ms_mod::c300_137 = 300._RP /137._RP

private

Definition at line 52 of file ode_SL_ms_mod.f90.

c36_25

real(rp), parameter ode_sl_ms_mod::c36_25 = 36._RP / 25._RP

private

Definition at line 45 of file ode_SL_ms_mod.f90.

c3_25

real(rp), parameter ode_sl_ms_mod::c3_25 = 3._RP / 25._RP

private

Definition at line 42 of file ode_SL_ms_mod.f90.

c48_25

real(rp), parameter ode_sl_ms_mod::c48_25 = 48._RP / 25._RP

private

Definition at line 46 of file ode_SL_ms_mod.f90.

c4_3

real(rp), parameter ode_sl_ms_mod::c4_3 = 4._RP / 3._RP

private

Definition at line 35 of file ode_SL_ms_mod.f90.

c600_137

real(rp), parameter ode_sl_ms_mod::c600_137 = 600._RP /137._RP

private

Definition at line 53 of file ode_SL_ms_mod.f90.

c60_137

real(rp), parameter ode_sl_ms_mod::c60_137 = 60._RP /137._RP

private

Definition at line 49 of file ode_SL_ms_mod.f90.

c6_11

real(rp), parameter ode_sl_ms_mod::c6_11 = 6._RP / 11._RP

private

Definition at line 39 of file ode_SL_ms_mod.f90.

c72_25

real(rp), parameter ode_sl_ms_mod::c72_25 = 72._RP / 25._RP

private

Definition at line 47 of file ode_SL_ms_mod.f90.

c75_137

real(rp), parameter ode_sl_ms_mod::c75_137 = 75._RP /137._RP

private

Definition at line 50 of file ode_SL_ms_mod.f90.

c9_11

real(rp), parameter ode_sl_ms_mod::c9_11 = 9._RP / 11._RP

private

Definition at line 40 of file ode_SL_ms_mod.f90.

c_3

real(rp), parameter ode_sl_ms_mod::c_3 = 1._RP / 3._RP

private

Definition at line 37 of file ode_SL_ms_mod.f90.