Class of RODASP formula for Rosenbrock method. More...

#include <num_collect/ode/rosenbrock/rodasp_formula.h>

Inheritance diagram for num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >:

Collaboration diagram for num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >:

Public Types
using	base_type
	Type of base class.

using	equation_solver_type
	Type of class to solve equations in Rosenbrock methods.

Public Types inherited from num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >
using	base_type = formula_base<Derived, Problem>
	Type of base class.

using	equation_solver_type = EquationSolver
	Type of class to solve equations in Rosenbrock methods.

using	problem_type
	Type of problem.

using	scalar_type
	Type of scalars.

using	variable_type
	Type of variables.

Public Types inherited from num_collect::ode::formula_base< Derived, Problem >
using	problem_type = Problem
	Type of problem.

using	scalar_type = typename problem_type::scalar_type
	Type of scalars.

using	variable_type = typename problem_type::variable_type
	Type of variables.

Public Member Functions
	rodasp_formula (const problem_type &problem)
	Constructor.

auto	equation_solver () -> equation_solver_type &
	Access the solver of equations in Rosenbrock methods.

auto	equation_solver () const -> const equation_solver_type &
	Access the solver of equations in Rosenbrock methods.

void	step (scalar_type time, scalar_type step_size, const variable_type &current, variable_type &estimate)
	Compute the next variable.

void	step_embedded (scalar_type time, scalar_type step_size, const variable_type &current, variable_type &estimate, variable_type &error)
	Compute the next variable and weak estimate of it with embedded formula.

Public Member Functions inherited from num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >
	rosenbrock_formula_base (const problem_type &problem, const scalar_type &inverted_jacobian_coeff)
	Constructor.

auto	equation_solver () -> equation_solver_type &
	Access the solver of equations in Rosenbrock methods.

auto	equation_solver () const -> const equation_solver_type &
	Access the solver of equations in Rosenbrock methods.

auto	tolerances (const error_tolerances< variable_type > &val) -> Derived &
	Set the error tolerances.

Public Member Functions inherited from num_collect::ode::formula_base< Derived, Problem >
	formula_base (const problem_type &problem=problem_type())
	Constructor.

auto	problem () -> problem_type &
	Get the problem.

auto	problem () const -> const problem_type &
	Get the problem.

void	step (scalar_type time, scalar_type step_size, const variable_type &current, variable_type &estimate)
	Compute the next variable.

Static Public Attributes
static constexpr index_type	lesser_order = 3
	Order of lesser coefficients of this formula.

static constexpr auto	log_tag
	Log tag.

static constexpr index_type	order = 4
	Order of this formula.

static constexpr index_type	stages = 6
	Number of stages of this formula.

Coefficients in Rosenbrock method.
`a` is coefficients of intermidiate variables in calculation of intermidiate variables. `b` is coefficients of time in calculation of intermidiate variables. `c` is coefficients of intermidiate variables in calculation of estimates of next variables. `g` is coefficients of intermidiate variables in calculation of intermidiate variables.
static constexpr scalar_type	a21 = coeff(0.75)

static constexpr scalar_type	a31 = coeff(8.6120400814152190e-2)

static constexpr scalar_type	a32 = coeff(0.1238795991858478)

static constexpr scalar_type	a41 = coeff(0.7749345355073236)

static constexpr scalar_type	a42 = coeff(0.1492651549508680)

static constexpr scalar_type	a43 = coeff(-0.2941996904581916)

static constexpr scalar_type	a51 = coeff(5.308746682646142)

static constexpr scalar_type	a52 = coeff(1.330892140037269)

static constexpr scalar_type	a53 = coeff(-5.374137811655562)

static constexpr scalar_type	a54 = coeff(-0.2655010110278497)

static constexpr scalar_type	a61 = coeff(-1.764437648774483)

static constexpr scalar_type	a62 = coeff(-0.4747565572063027)

static constexpr scalar_type	a63 = coeff(2.369691846915802)

static constexpr scalar_type	a64 = coeff(0.6195023590649829)

static constexpr scalar_type	a65 = coeff(0.25)

static constexpr scalar_type	b1 = coeff(0)

static constexpr scalar_type	b2 = a21

static constexpr scalar_type	b3 = a31 + a32

static constexpr scalar_type	b4 = a41 + a42 + a43

static constexpr scalar_type	b5 = a51 + a52 + a53 + a54

static constexpr scalar_type	b6 = a61 + a62 + a63 + a64 + a65

static constexpr scalar_type	g21 = coeff(-0.75)

static constexpr scalar_type	g31 = coeff(-0.1355124008141522)

static constexpr scalar_type	g32 = coeff(-0.1379915991858478)

static constexpr scalar_type	g41 = coeff(-1.2569840048950798)

static constexpr scalar_type	g42 = coeff(-0.2501447105064236)

static constexpr scalar_type	g43 = coeff(1.2209287154015032)

static constexpr scalar_type	g51 = coeff(-7.073184331420625)

static constexpr scalar_type	g52 = coeff(-1.805648697243572)

static constexpr scalar_type	g53 = coeff(7.7438296585713635)

static constexpr scalar_type	g54 = coeff(0.8850033700928326)

static constexpr scalar_type	g61 = coeff(1.6840692779853665)

static constexpr scalar_type	g62 = coeff(0.41826594361385516)

static constexpr scalar_type	g63 = coeff(-1.8814062168730028)

static constexpr scalar_type	g64 = coeff(-0.11378614758336392)

static constexpr scalar_type	g65 = coeff(-0.3571428571428569)

static constexpr scalar_type	g = coeff(0.25)

static constexpr scalar_type	g1 = g

static constexpr scalar_type	g2 = g21 + g

static constexpr scalar_type	g3 = g31 + g32 + g

static constexpr scalar_type	g4 = g41 + g42 + g43 + g

static constexpr scalar_type	g5 = g51 + g52 + g53 + g54 + g

static constexpr scalar_type	g6 = g61 + g62 + g63 + g64 + g65 + g

static constexpr scalar_type	c1 = coeff(-8.0368370789113464e-2)

static constexpr scalar_type	c2 = coeff(-5.6490613592447572e-2)

static constexpr scalar_type	c3 = coeff(0.4882856300427991)

static constexpr scalar_type	c4 = coeff(0.5057162114816189)

static constexpr scalar_type	c5 = coeff(-0.1071428571428569)

static constexpr scalar_type	c6 = coeff(0.25)

static constexpr scalar_type	cw1 = coeff(-1.764437648774483)

static constexpr scalar_type	cw2 = coeff(-0.4747565572063027)

static constexpr scalar_type	cw3 = coeff(2.369691846915802)

static constexpr scalar_type	cw4 = coeff(0.6195023590649829)

static constexpr scalar_type	cw5 = coeff(0.25)

static constexpr scalar_type	ce1 = c1 - cw1

static constexpr scalar_type	ce2 = c2 - cw2

static constexpr scalar_type	ce3 = c3 - cw3

static constexpr scalar_type	ce4 = c4 - cw4

static constexpr scalar_type	ce5 = c5 - cw5

static constexpr scalar_type	ce6 = c6

Private Attributes
variable_type	temp_rhs_ {}
	Temporary right-hand-side vector.

variable_type	temp_var_ {}
	Temporary variable.

Intermediate variables.
variable_type	k1_ {}

variable_type	k2_ {}

variable_type	k3_ {}

variable_type	k4_ {}

variable_type	k5_ {}

variable_type	k6_ {}

Additional Inherited Members
Protected Member Functions inherited from num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >
auto	derived () const noexcept -> const Derived &
	Access derived object.

auto	derived () noexcept -> Derived &
	Access derived object.

Protected Member Functions inherited from num_collect::ode::formula_base< Derived, Problem >
auto	derived () const noexcept -> const Derived &
	Access derived object.

auto	derived () noexcept -> Derived &
	Access derived object.

Static Protected Member Functions inherited from num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >
template<typename T >
static constexpr auto	coeff (T val) -> scalar_type
	Convert coefficients.

template<typename T1 , typename T2 >
static constexpr auto	coeff (T1 num, T2 den) -> scalar_type
	Create coefficients.

Static Protected Member Functions inherited from num_collect::ode::formula_base< Derived, Problem >
template<typename T >
static constexpr auto	coeff (T val) -> scalar_type
	Convert coefficients.

template<typename T1 , typename T2 >
static constexpr auto	coeff (T1 num, T2 den) -> scalar_type
	Create coefficients.

Detailed Description

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>
class num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >

Class of RODASP formula for Rosenbrock method.

Note: For coefficients, I referred to [29].

Template Parameters

Problem	Type of problem.
EquationSolver	Type of class to solve equations in Rosenbrock methods.

Definition at line 45 of file rodasp_formula.h.

Member Typedef Documentation

◆ base_type

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

using num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::base_type

Initial value:

 
        rosenbrock_formula_base<rodasp_formula<Problem, EquationSolver>,
            Problem, EquationSolver>

Type of base class.

Definition at line 50 of file rodasp_formula.h.

◆ equation_solver_type

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

using num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >::equation_solver_type

Type of class to solve equations in Rosenbrock methods.

Definition at line 49 of file rosenbrock_formula_base.h.

Constructor & Destructor Documentation

◆ rodasp_formula()

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::rodasp_formula ( const problem_type & problem )

inlineexplicit

Constructor.

Parameters

[in] problem Problem.

Definition at line 170 of file rodasp_formula.h.

Member Function Documentation

◆ equation_solver() [1/2]

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

auto num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >::equation_solver ( ) -> equation_solver_type&

inlinenodiscard

Access the solver of equations in Rosenbrock methods.

Returns: Solver.

Definition at line 97 of file rosenbrock_formula_base.h.

◆ equation_solver() [2/2]

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

auto num_collect::ode::rosenbrock::rosenbrock_formula_base< Derived, Problem, EquationSolver >::equation_solver ( ) const -> const equation_solver_type&

inlinenodiscard

Access the solver of equations in Rosenbrock methods.

Returns: Solver.

Definition at line 88 of file rosenbrock_formula_base.h.

◆ step()

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

void num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::step	(	scalar_type	time,
		scalar_type	step_size,
		const variable_type &	current,
		variable_type &	estimate )

inline

Compute the next variable.

Parameters

[in]	time	Current time.
[in]	step_size	Step size.
[in]	current	Current variable.
[out]	estimate	Estimate of the next variable.

Definition at line 174 of file rodasp_formula.h.

◆ step_embedded()

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

void num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::step_embedded	(	scalar_type	time,
		scalar_type	step_size,
		const variable_type &	current,
		variable_type &	estimate,
		variable_type &	error )

inline

Compute the next variable and weak estimate of it with embedded formula.

Parameters

[in]	time	Current time.
[in]	step_size	Step size.
[in]	current	Current variable.
[out]	estimate	Estimate of the next variable.
[out]	error	Estimate of error.

Definition at line 190 of file rodasp_formula.h.

Member Data Documentation

◆ a21

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a21 = coeff(0.75)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 97 of file rodasp_formula.h.

◆ a31

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a31 = coeff(8.6120400814152190e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 98 of file rodasp_formula.h.

◆ a32

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a32 = coeff(0.1238795991858478)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 99 of file rodasp_formula.h.

◆ a41

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a41 = coeff(0.7749345355073236)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 100 of file rodasp_formula.h.

◆ a42

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a42 = coeff(0.1492651549508680)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 101 of file rodasp_formula.h.

◆ a43

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a43 = coeff(-0.2941996904581916)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 102 of file rodasp_formula.h.

◆ a51

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a51 = coeff(5.308746682646142)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 103 of file rodasp_formula.h.

◆ a52

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a52 = coeff(1.330892140037269)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 104 of file rodasp_formula.h.

◆ a53

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a53 = coeff(-5.374137811655562)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 105 of file rodasp_formula.h.

◆ a54

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a54 = coeff(-0.2655010110278497)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 106 of file rodasp_formula.h.

◆ a61

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a61 = coeff(-1.764437648774483)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 107 of file rodasp_formula.h.

◆ a62

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a62 = coeff(-0.4747565572063027)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 108 of file rodasp_formula.h.

◆ a63

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a63 = coeff(2.369691846915802)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 109 of file rodasp_formula.h.

◆ a64

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a64 = coeff(0.6195023590649829)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 110 of file rodasp_formula.h.

◆ a65

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::a65 = coeff(0.25)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 111 of file rodasp_formula.h.

◆ b1

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::b1 = coeff(0)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 113 of file rodasp_formula.h.

◆ b2

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::b2 = a21

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 114 of file rodasp_formula.h.

◆ b3

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::b3 = a31 + a32

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 115 of file rodasp_formula.h.

◆ b4

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::b4 = a41 + a42 + a43

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 116 of file rodasp_formula.h.

◆ b5

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::b5 = a51 + a52 + a53 + a54

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 117 of file rodasp_formula.h.

◆ b6

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::b6 = a61 + a62 + a63 + a64 + a65

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 118 of file rodasp_formula.h.

◆ c1

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::c1 = coeff(-8.0368370789113464e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 144 of file rodasp_formula.h.

◆ c2

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::c2 = coeff(-5.6490613592447572e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 145 of file rodasp_formula.h.

◆ c3

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::c3 = coeff(0.4882856300427991)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 146 of file rodasp_formula.h.

◆ c4

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::c4 = coeff(0.5057162114816189)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 147 of file rodasp_formula.h.

◆ c5

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::c5 = coeff(-0.1071428571428569)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 148 of file rodasp_formula.h.

◆ c6

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::c6 = coeff(0.25)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 149 of file rodasp_formula.h.

◆ ce1

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::ce1 = c1 - cw1

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 157 of file rodasp_formula.h.

◆ ce2

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::ce2 = c2 - cw2

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 158 of file rodasp_formula.h.

◆ ce3

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::ce3 = c3 - cw3

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 159 of file rodasp_formula.h.

◆ ce4

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::ce4 = c4 - cw4

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 160 of file rodasp_formula.h.

◆ ce5

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::ce5 = c5 - cw5

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 161 of file rodasp_formula.h.

◆ ce6

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::ce6 = c6

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 162 of file rodasp_formula.h.

◆ cw1

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::cw1 = coeff(-1.764437648774483)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 151 of file rodasp_formula.h.

◆ cw2

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::cw2 = coeff(-0.4747565572063027)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 152 of file rodasp_formula.h.

◆ cw3

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::cw3 = coeff(2.369691846915802)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 153 of file rodasp_formula.h.

◆ cw4

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::cw4 = coeff(0.6195023590649829)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 154 of file rodasp_formula.h.

◆ cw5

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::cw5 = coeff(0.25)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 155 of file rodasp_formula.h.

◆ g

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g = coeff(0.25)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 135 of file rodasp_formula.h.

◆ g1

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g1 = g

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 137 of file rodasp_formula.h.

◆ g2

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g2 = g21 + g

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 138 of file rodasp_formula.h.

◆ g21

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g21 = coeff(-0.75)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 120 of file rodasp_formula.h.

◆ g3

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g3 = g31 + g32 + g

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 139 of file rodasp_formula.h.

◆ g31

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g31 = coeff(-0.1355124008141522)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 121 of file rodasp_formula.h.

◆ g32

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g32 = coeff(-0.1379915991858478)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 122 of file rodasp_formula.h.

◆ g4

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g4 = g41 + g42 + g43 + g

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 140 of file rodasp_formula.h.

◆ g41

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g41 = coeff(-1.2569840048950798)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 123 of file rodasp_formula.h.

◆ g42

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g42 = coeff(-0.2501447105064236)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 124 of file rodasp_formula.h.

◆ g43

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g43 = coeff(1.2209287154015032)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 125 of file rodasp_formula.h.

◆ g5

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g5 = g51 + g52 + g53 + g54 + g

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 141 of file rodasp_formula.h.

◆ g51

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g51 = coeff(-7.073184331420625)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 126 of file rodasp_formula.h.

◆ g52

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g52 = coeff(-1.805648697243572)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 127 of file rodasp_formula.h.

◆ g53

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g53 = coeff(7.7438296585713635)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 128 of file rodasp_formula.h.

◆ g54

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g54 = coeff(0.8850033700928326)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 129 of file rodasp_formula.h.

◆ g6

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g6 = g61 + g62 + g63 + g64 + g65 + g

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 142 of file rodasp_formula.h.

◆ g61

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g61 = coeff(1.6840692779853665)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 130 of file rodasp_formula.h.

◆ g62

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g62 = coeff(0.41826594361385516)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 131 of file rodasp_formula.h.

◆ g63

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g63 = coeff(-1.8814062168730028)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 132 of file rodasp_formula.h.

◆ g64

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g64 = coeff(-0.11378614758336392)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 133 of file rodasp_formula.h.

◆ g65

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

scalar_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::g65 = coeff(-0.3571428571428569)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 134 of file rodasp_formula.h.

◆ k1_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::k1_ {}

private

Intermediate variable.

Definition at line 274 of file rodasp_formula.h.

◆ k2_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::k2_ {}

private

Intermediate variable.

Definition at line 275 of file rodasp_formula.h.

◆ k3_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::k3_ {}

private

Intermediate variable.

Definition at line 276 of file rodasp_formula.h.

◆ k4_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::k4_ {}

private

Intermediate variable.

Definition at line 277 of file rodasp_formula.h.

◆ k5_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::k5_ {}

private

Intermediate variable.

Definition at line 278 of file rodasp_formula.h.

◆ k6_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::k6_ {}

private

Intermediate variable.

Definition at line 279 of file rodasp_formula.h.

◆ lesser_order

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

index_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::lesser_order = 3

staticconstexpr

Order of lesser coefficients of this formula.

Warning: Exact information has not been found.

Definition at line 78 of file rodasp_formula.h.

◆ log_tag

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

auto num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::log_tag

staticconstexpr

Initial value:

=

logging::log_tag_view("num_collect::ode::rosenbrock::rodasp_formula")

Log tag.

Definition at line 81 of file rodasp_formula.h.

◆ order

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

index_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::order = 4

staticconstexpr

Order of this formula.

Definition at line 71 of file rodasp_formula.h.

◆ stages

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

index_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::stages = 6

staticconstexpr

Number of stages of this formula.

Definition at line 68 of file rodasp_formula.h.

◆ temp_rhs_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::temp_rhs_ {}

private

Temporary right-hand-side vector.

Definition at line 286 of file rodasp_formula.h.

◆ temp_var_

template<concepts::problem Problem, concepts::rosenbrock_equation_solver EquationSolver = default_rosenbrock_equation_solver_t<Problem>>

variable_type num_collect::ode::rosenbrock::rodasp_formula< Problem, EquationSolver >::temp_var_ {}

private

Temporary variable.

Definition at line 283 of file rodasp_formula.h.

The documentation for this class was generated from the following file:

include/num_collect/ode/rosenbrock/rodasp_formula.h

Public Types

Public Member Functions

Static Public Attributes

Private Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ base_type

◆ equation_solver_type

Constructor & Destructor Documentation

◆ rodasp_formula()

Member Function Documentation

◆ equation_solver() [1/2]

◆ equation_solver() [2/2]

◆ step()

◆ step_embedded()

Member Data Documentation

◆ a21

◆ a31

◆ a32

◆ a41

◆ a42

◆ a43

◆ a51

◆ a52

◆ a53

◆ a54

◆ a61

◆ a62

◆ a63

◆ a64

◆ a65

◆ b1

◆ b2

◆ b3

◆ b4

◆ b5

◆ b6

◆ c1

◆ c2

◆ c3

◆ c4

◆ c5

◆ c6

◆ ce1

◆ ce2

◆ ce3

◆ ce4

◆ ce5

◆ ce6

◆ cw1

◆ cw2

◆ cw3

◆ cw4

◆ cw5

◆ g

◆ g1

◆ g2

◆ g21

◆ g3

◆ g31

◆ g32

◆ g4

◆ g41

◆ g42

◆ g43

◆ g5

◆ g51

◆ g52

◆ g53

◆ g54

◆ g6

◆ g61

◆ g62

◆ g63

◆ g64

◆ g65

◆ k1_

◆ k2_

◆ k3_