num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver > Class Template Reference

Class of RODASPR formula [23] for Rosenbrock method. More...

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

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

Collaboration diagram for num_collect::ode::rosenbrock::rodaspr_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
	rodaspr_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(7.5162877593868457e-2)
static constexpr scalar_type	a32 = coeff(2.4837122406131545e-2)
static constexpr scalar_type	a41 = coeff(1.6532708886396510)
static constexpr scalar_type	a42 = coeff(0.21545706385445562)
static constexpr scalar_type	a43 = coeff(-1.3157488872766792)
static constexpr scalar_type	a51 = coeff(19.385003738039885)
static constexpr scalar_type	a52 = coeff(1.2007117225835324)
static constexpr scalar_type	a53 = coeff(-19.337924059522791)
static constexpr scalar_type	a54 = coeff(-0.24779140110062559)
static constexpr scalar_type	a61 = coeff(-7.3844531665375115)
static constexpr scalar_type	a62 = coeff(-0.30593419030174646)
static constexpr scalar_type	a63 = coeff(7.8622074209377981)
static constexpr scalar_type	a64 = coeff(0.57817993590145966)
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(-8.8644359075349941e-2)
static constexpr scalar_type	g32 = coeff(-2.8688974257983398e-2)
static constexpr scalar_type	g41 = coeff(-4.8470034585330284)
static constexpr scalar_type	g42 = coeff(-0.31583244269672095)
static constexpr scalar_type	g43 = coeff(4.9536568360123221)
static constexpr scalar_type	g51 = coeff(-26.769456904577400)
static constexpr scalar_type	g52 = coeff(-1.5066459128852787)
static constexpr scalar_type	g53 = coeff(27.200131480460591)
static constexpr scalar_type	g54 = coeff(0.82597133700208525)
static constexpr scalar_type	g61 = coeff(6.5876206496361416)
static constexpr scalar_type	g62 = coeff(0.36807059172993878)
static constexpr scalar_type	g63 = coeff(-6.7423520694658121)
static constexpr scalar_type	g64 = coeff(-0.10619631475741095)
static constexpr scalar_type	g65 = coeff(-0.35714285714285715)
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(-0.79683251690137014)
static constexpr scalar_type	c2 = coeff(6.2136401428192344e-02)
static constexpr scalar_type	c3 = coeff(1.1198553514719862)
static constexpr scalar_type	c4 = coeff(0.47198362114404874)
static constexpr scalar_type	c5 = coeff(-0.10714285714285714)
static constexpr scalar_type	c6 = coeff(0.25)
static constexpr scalar_type	cw1 = coeff(-7.3844531665375115)
static constexpr scalar_type	cw2 = coeff(-0.30593419030174646)
static constexpr scalar_type	cw3 = coeff(7.8622074209377981)
static constexpr scalar_type	cw4 = coeff(0.57817993590145966)
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::rodaspr_formula< Problem, EquationSolver >

Class of RODASPR formula [23] for Rosenbrock method.

Template Parameters

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

Definition at line 43 of file rodaspr_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::rodaspr_formula< Problem, EquationSolver >::base_type

Initial value:

 
        rosenbrock_formula_base<rodaspr_formula<Problem, EquationSolver>,
            Problem, EquationSolver>

Type of base class.

Definition at line 48 of file rodaspr_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

rodaspr_formula()

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

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

inlineexplicit

Constructor.

Parameters

[in]

problem

Problem.

Definition at line 168 of file rodaspr_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::rodaspr_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 172 of file rodaspr_formula.h.

step_embedded()

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

void num_collect::ode::rosenbrock::rodaspr_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 188 of file rodaspr_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::rodaspr_formula< Problem, EquationSolver >::a21 = coeff(0.75)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 95 of file rodaspr_formula.h.

a31

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a31 = coeff(7.5162877593868457e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 96 of file rodaspr_formula.h.

a32

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a32 = coeff(2.4837122406131545e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 97 of file rodaspr_formula.h.

a41

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a41 = coeff(1.6532708886396510)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 98 of file rodaspr_formula.h.

a42

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a42 = coeff(0.21545706385445562)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 99 of file rodaspr_formula.h.

a43

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a43 = coeff(-1.3157488872766792)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 100 of file rodaspr_formula.h.

a51

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a51 = coeff(19.385003738039885)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 101 of file rodaspr_formula.h.

a52

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a52 = coeff(1.2007117225835324)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 102 of file rodaspr_formula.h.

a53

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a53 = coeff(-19.337924059522791)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 103 of file rodaspr_formula.h.

a54

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a54 = coeff(-0.24779140110062559)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 104 of file rodaspr_formula.h.

a61

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a61 = coeff(-7.3844531665375115)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 105 of file rodaspr_formula.h.

a62

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a62 = coeff(-0.30593419030174646)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 106 of file rodaspr_formula.h.

a63

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a63 = coeff(7.8622074209377981)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 107 of file rodaspr_formula.h.

a64

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::a64 = coeff(0.57817993590145966)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 108 of file rodaspr_formula.h.

a65

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 109 of file rodaspr_formula.h.

b1

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 111 of file rodaspr_formula.h.

b2

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 112 of file rodaspr_formula.h.

b3

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 113 of file rodaspr_formula.h.

b4

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 114 of file rodaspr_formula.h.

b5

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 115 of file rodaspr_formula.h.

b6

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 116 of file rodaspr_formula.h.

c1

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::c1 = coeff(-0.79683251690137014)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 142 of file rodaspr_formula.h.

c2

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::c2 = coeff(6.2136401428192344e-02)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 143 of file rodaspr_formula.h.

c3

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::c3 = coeff(1.1198553514719862)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 144 of file rodaspr_formula.h.

c4

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::c4 = coeff(0.47198362114404874)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 145 of file rodaspr_formula.h.

c5

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::c5 = coeff(-0.10714285714285714)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 146 of file rodaspr_formula.h.

c6

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 147 of file rodaspr_formula.h.

ce1

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 155 of file rodaspr_formula.h.

ce2

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 156 of file rodaspr_formula.h.

ce3

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 157 of file rodaspr_formula.h.

ce4

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 158 of file rodaspr_formula.h.

ce5

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 159 of file rodaspr_formula.h.

ce6

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 160 of file rodaspr_formula.h.

cw1

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::cw1 = coeff(-7.3844531665375115)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 149 of file rodaspr_formula.h.

cw2

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::cw2 = coeff(-0.30593419030174646)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 150 of file rodaspr_formula.h.

cw3

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::cw3 = coeff(7.8622074209377981)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 151 of file rodaspr_formula.h.

cw4

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::cw4 = coeff(0.57817993590145966)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 152 of file rodaspr_formula.h.

cw5

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 153 of file rodaspr_formula.h.

g

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 133 of file rodaspr_formula.h.

g1

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 135 of file rodaspr_formula.h.

g2

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 136 of file rodaspr_formula.h.

g21

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 118 of file rodaspr_formula.h.

g3

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 137 of file rodaspr_formula.h.

g31

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g31 = coeff(-8.8644359075349941e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 119 of file rodaspr_formula.h.

g32

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g32 = coeff(-2.8688974257983398e-2)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 120 of file rodaspr_formula.h.

g4

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 138 of file rodaspr_formula.h.

g41

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g41 = coeff(-4.8470034585330284)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 121 of file rodaspr_formula.h.

g42

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g42 = coeff(-0.31583244269672095)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 122 of file rodaspr_formula.h.

g43

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g43 = coeff(4.9536568360123221)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 123 of file rodaspr_formula.h.

g5

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 139 of file rodaspr_formula.h.

g51

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g51 = coeff(-26.769456904577400)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 124 of file rodaspr_formula.h.

g52

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g52 = coeff(-1.5066459128852787)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 125 of file rodaspr_formula.h.

g53

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g53 = coeff(27.200131480460591)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 126 of file rodaspr_formula.h.

g54

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g54 = coeff(0.82597133700208525)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 127 of file rodaspr_formula.h.

g6

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

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

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 140 of file rodaspr_formula.h.

g61

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g61 = coeff(6.5876206496361416)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 128 of file rodaspr_formula.h.

g62

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g62 = coeff(0.36807059172993878)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 129 of file rodaspr_formula.h.

g63

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g63 = coeff(-6.7423520694658121)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 130 of file rodaspr_formula.h.

g64

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g64 = coeff(-0.10619631475741095)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 131 of file rodaspr_formula.h.

g65

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

scalar_type num_collect::ode::rosenbrock::rodaspr_formula< Problem, EquationSolver >::g65 = coeff(-0.35714285714285715)

staticconstexpr

Coefficient in Rosenbrock method.

Definition at line 132 of file rodaspr_formula.h.

k1_

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

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

private

Intermediate variable.

Definition at line 272 of file rodaspr_formula.h.

k2_

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

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

private

Intermediate variable.

Definition at line 273 of file rodaspr_formula.h.

k3_

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

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

private

Intermediate variable.

Definition at line 274 of file rodaspr_formula.h.

k4_

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

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

private

Intermediate variable.

Definition at line 275 of file rodaspr_formula.h.

k5_

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

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

private

Intermediate variable.

Definition at line 276 of file rodaspr_formula.h.

k6_

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

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

private

Intermediate variable.

Definition at line 277 of file rodaspr_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::rodaspr_formula< Problem, EquationSolver >::lesser_order = 3

staticconstexpr

Order of lesser coefficients of this formula.

Warning

Exact information has not been found.

Definition at line 76 of file rodaspr_formula.h.

log_tag

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

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

staticconstexpr

Initial value:

=
        logging::log_tag_view("num_collect::ode::rosenbrock::rodaspr_formula")

Log tag.

Definition at line 79 of file rodaspr_formula.h.

order

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

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

staticconstexpr

Order of this formula.

Definition at line 69 of file rodaspr_formula.h.

stages

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

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

staticconstexpr

Number of stages of this formula.

Definition at line 66 of file rodaspr_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::rodaspr_formula< Problem, EquationSolver >::temp_rhs_ {}

private

Temporary right-hand-side vector.

Definition at line 284 of file rodaspr_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::rodaspr_formula< Problem, EquationSolver >::temp_var_ {}

private

Temporary variable.

Definition at line 281 of file rodaspr_formula.h.

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

• include/num_collect/ode/rosenbrock/rodaspr_formula.h