num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver > Class Template Reference

Class of ESDIRK45c formula in [13]. More...

#include <num_collect/ode/runge_kutta/esdirk45_formula.h>

Inheritance diagram for num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >:

Collaboration diagram for num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >:

Public Types
using	base_type
	Type of base class.
using	this_type = esdirk45_formula<Problem, FormulaSolver>
	Type of this class.
Public Types inherited from num_collect::ode::runge_kutta::implicit_formula_base< Derived, Problem, FormulaSolver >
using	base_type = formula_base<Derived, Problem>
	Type of base class.
using	formula_solver_type = FormulaSolver
	Type of solver of formula.
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
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::runge_kutta::implicit_formula_base< Derived, Problem, FormulaSolver >
	implicit_formula_base (const problem_type &problem=problem_type())
	Constructor.
auto	formula_solver () -> formula_solver_type &
	Get solver of formula.
auto	formula_solver () const -> const formula_solver_type &
	Get solver of formula.
auto	logger () const noexcept -> const num_collect::logging::logger &
	Access to the logger.
auto	logger () noexcept -> num_collect::logging::logger &
	Access to the logger.
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 = 4
	Order of lesser coefficients of this formula.
static constexpr auto	log_tag
	Log tag.
static constexpr index_type	order = 5
	Order of this formula.
static constexpr index_type	stages = 6
	Number of stages of this formula.
Coefficients in Butcher array.
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.
static constexpr scalar_type	ad = coeff(1, 4)
static constexpr scalar_type	a21 = coeff(1, 4)
static constexpr scalar_type	a31 = coeff(1, 16)
static constexpr scalar_type	a32 = coeff(-1, 16)
static constexpr scalar_type	a41 = coeff(-7, 36)
static constexpr scalar_type	a42 = coeff(-4, 9)
static constexpr scalar_type	a43 = coeff(8, 9)
static constexpr scalar_type	a51 = coeff(-5, 48)
static constexpr scalar_type	a52 = coeff(-257, 768)
static constexpr scalar_type	a53 = coeff(5, 6)
static constexpr scalar_type	a54 = coeff(27, 256)
static constexpr scalar_type	a61 = coeff(1, 4)
static constexpr scalar_type	a62 = coeff(2, 3)
static constexpr scalar_type	a63 = coeff(-1, 3)
static constexpr scalar_type	a64 = coeff(1, 2)
static constexpr scalar_type	a65 = coeff(-1, 3)
static constexpr scalar_type	b2 = coeff(1, 2)
static constexpr scalar_type	b3 = coeff(1, 4)
static constexpr scalar_type	b4 = coeff(1, 2)
static constexpr scalar_type	b5 = coeff(3, 4)
static constexpr scalar_type	b6 = coeff(1)
static constexpr scalar_type	c1 = a61
static constexpr scalar_type	c2 = a62
static constexpr scalar_type	c3 = a63
static constexpr scalar_type	c4 = a64
static constexpr scalar_type	c5 = a65
static constexpr scalar_type	c6 = ad
static constexpr scalar_type	cw1 = coeff(7, 90)
static constexpr scalar_type	cw2 = coeff(3, 20)
static constexpr scalar_type	cw3 = coeff(16, 45)
static constexpr scalar_type	cw4 = coeff(-1, 60)
static constexpr scalar_type	cw5 = coeff(16, 45)
static constexpr scalar_type	cw6 = coeff(7, 90)
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 - cw6

Protected Member Functions
auto	formula_solver () -> formula_solver_type &
	Get solver of formula.
auto	formula_solver () const -> const formula_solver_type &
	Get solver of formula.
Protected Member Functions inherited from num_collect::ode::runge_kutta::implicit_formula_base< Derived, Problem, FormulaSolver >
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.

Private Attributes
Intermediate variables.
variable_type	k1_ {}
variable_type	k2_ {}
variable_type	k3_ {}
variable_type	k4_ {}
variable_type	k5_ {}
variable_type	k6_ {}
variable_type	z2_ {}
variable_type	z3_ {}
variable_type	z4_ {}
variable_type	z5_ {}
variable_type	z6_ {}

Additional Inherited Members
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::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>
class num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >

Class of ESDIRK45c formula in [13].

Template Parameters

Problem	Type of problem.
FormulaSolver	Type of solver of formula.

Definition at line 42 of file esdirk45_formula.h.

Member Typedef Documentation

base_type

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

using num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::base_type

Initial value:

 
        implicit_formula_base<esdirk45_formula<Problem, FormulaSolver>, Problem,
            FormulaSolver>

Type of base class.

Definition at line 50 of file esdirk45_formula.h.

this_type

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

using num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::this_type = esdirk45_formula<Problem, FormulaSolver>

Type of this class.

Definition at line 47 of file esdirk45_formula.h.

Member Function Documentation

formula_solver() [1/2]

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

auto num_collect::ode::runge_kutta::implicit_formula_base< Derived, Problem, FormulaSolver >::formula_solver ( ) -> formula_solver_type&

inlinenodiscardprotected

Get solver of formula.

Returns

Solver of formula.

Definition at line 68 of file implicit_formula_base.h.

formula_solver() [2/2]

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

auto num_collect::ode::runge_kutta::implicit_formula_base< Derived, Problem, FormulaSolver >::formula_solver ( ) const -> const formula_solver_type&

inlinenodiscardprotected

Get solver of formula.

Returns

Solver of formula.

Definition at line 77 of file implicit_formula_base.h.

step()

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

void num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::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 140 of file esdirk45_formula.h.

step_embedded()

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

void num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::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 193 of file esdirk45_formula.h.

Member Data Documentation

a21

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a21 = coeff(1, 4)

staticconstexpr

Coefficient in Butcher array.

Definition at line 94 of file esdirk45_formula.h.

a31

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a31 = coeff(1, 16)

staticconstexpr

Coefficient in Butcher array.

Definition at line 95 of file esdirk45_formula.h.

a32

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a32 = coeff(-1, 16)

staticconstexpr

Coefficient in Butcher array.

Definition at line 96 of file esdirk45_formula.h.

a41

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a41 = coeff(-7, 36)

staticconstexpr

Coefficient in Butcher array.

Definition at line 97 of file esdirk45_formula.h.

a42

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a42 = coeff(-4, 9)

staticconstexpr

Coefficient in Butcher array.

Definition at line 98 of file esdirk45_formula.h.

a43

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a43 = coeff(8, 9)

staticconstexpr

Coefficient in Butcher array.

Definition at line 99 of file esdirk45_formula.h.

a51

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a51 = coeff(-5, 48)

staticconstexpr

Coefficient in Butcher array.

Definition at line 100 of file esdirk45_formula.h.

a52

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a52 = coeff(-257, 768)

staticconstexpr

Coefficient in Butcher array.

Definition at line 101 of file esdirk45_formula.h.

a53

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a53 = coeff(5, 6)

staticconstexpr

Coefficient in Butcher array.

Definition at line 102 of file esdirk45_formula.h.

a54

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a54 = coeff(27, 256)

staticconstexpr

Coefficient in Butcher array.

Definition at line 103 of file esdirk45_formula.h.

a61

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a61 = coeff(1, 4)

staticconstexpr

Coefficient in Butcher array.

Definition at line 104 of file esdirk45_formula.h.

a62

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a62 = coeff(2, 3)

staticconstexpr

Coefficient in Butcher array.

Definition at line 105 of file esdirk45_formula.h.

a63

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a63 = coeff(-1, 3)

staticconstexpr

Coefficient in Butcher array.

Definition at line 106 of file esdirk45_formula.h.

a64

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a64 = coeff(1, 2)

staticconstexpr

Coefficient in Butcher array.

Definition at line 107 of file esdirk45_formula.h.

a65

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::a65 = coeff(-1, 3)

staticconstexpr

Coefficient in Butcher array.

Definition at line 108 of file esdirk45_formula.h.

ad

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ad = coeff(1, 4)

staticconstexpr

Coefficient in Butcher array.

Definition at line 93 of file esdirk45_formula.h.

b2

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::b2 = coeff(1, 2)

staticconstexpr

Coefficient in Butcher array.

Definition at line 111 of file esdirk45_formula.h.

b3

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::b3 = coeff(1, 4)

staticconstexpr

Coefficient in Butcher array.

Definition at line 112 of file esdirk45_formula.h.

b4

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::b4 = coeff(1, 2)

staticconstexpr

Coefficient in Butcher array.

Definition at line 113 of file esdirk45_formula.h.

b5

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::b5 = coeff(3, 4)

staticconstexpr

Coefficient in Butcher array.

Definition at line 114 of file esdirk45_formula.h.

b6

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::b6 = coeff(1)

staticconstexpr

Coefficient in Butcher array.

Definition at line 115 of file esdirk45_formula.h.

c1

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::c1 = a61

staticconstexpr

Coefficient in Butcher array.

Definition at line 117 of file esdirk45_formula.h.

c2

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::c2 = a62

staticconstexpr

Coefficient in Butcher array.

Definition at line 118 of file esdirk45_formula.h.

c3

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::c3 = a63

staticconstexpr

Coefficient in Butcher array.

Definition at line 119 of file esdirk45_formula.h.

c4

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::c4 = a64

staticconstexpr

Coefficient in Butcher array.

Definition at line 120 of file esdirk45_formula.h.

c5

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::c5 = a65

staticconstexpr

Coefficient in Butcher array.

Definition at line 121 of file esdirk45_formula.h.

c6

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::c6 = ad

staticconstexpr

Coefficient in Butcher array.

Definition at line 122 of file esdirk45_formula.h.

ce1

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ce1 = c1 - cw1

staticconstexpr

Coefficient in Butcher array.

Definition at line 131 of file esdirk45_formula.h.

ce2

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ce2 = c2 - cw2

staticconstexpr

Coefficient in Butcher array.

Definition at line 132 of file esdirk45_formula.h.

ce3

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ce3 = c3 - cw3

staticconstexpr

Coefficient in Butcher array.

Definition at line 133 of file esdirk45_formula.h.

ce4

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ce4 = c4 - cw4

staticconstexpr

Coefficient in Butcher array.

Definition at line 134 of file esdirk45_formula.h.

ce5

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ce5 = c5 - cw5

staticconstexpr

Coefficient in Butcher array.

Definition at line 135 of file esdirk45_formula.h.

ce6

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::ce6 = c6 - cw6

staticconstexpr

Coefficient in Butcher array.

Definition at line 136 of file esdirk45_formula.h.

cw1

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::cw1 = coeff(7, 90)

staticconstexpr

Coefficient in Butcher array.

Definition at line 124 of file esdirk45_formula.h.

cw2

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::cw2 = coeff(3, 20)

staticconstexpr

Coefficient in Butcher array.

Definition at line 125 of file esdirk45_formula.h.

cw3

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::cw3 = coeff(16, 45)

staticconstexpr

Coefficient in Butcher array.

Definition at line 126 of file esdirk45_formula.h.

cw4

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::cw4 = coeff(-1, 60)

staticconstexpr

Coefficient in Butcher array.

Definition at line 127 of file esdirk45_formula.h.

cw5

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::cw5 = coeff(16, 45)

staticconstexpr

Coefficient in Butcher array.

Definition at line 128 of file esdirk45_formula.h.

cw6

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

scalar_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::cw6 = coeff(7, 90)

staticconstexpr

Coefficient in Butcher array.

Definition at line 129 of file esdirk45_formula.h.

k1_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::k1_ {}

private

Intermediate variable.

Definition at line 210 of file esdirk45_formula.h.

k2_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::k2_ {}

private

Intermediate variable.

Definition at line 211 of file esdirk45_formula.h.

k3_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::k3_ {}

private

Intermediate variable.

Definition at line 212 of file esdirk45_formula.h.

k4_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::k4_ {}

private

Intermediate variable.

Definition at line 213 of file esdirk45_formula.h.

k5_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::k5_ {}

private

Intermediate variable.

Definition at line 214 of file esdirk45_formula.h.

k6_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::k6_ {}

private

Intermediate variable.

Definition at line 215 of file esdirk45_formula.h.

lesser_order

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

index_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::lesser_order = 4

staticconstexpr

Order of lesser coefficients of this formula.

Definition at line 76 of file esdirk45_formula.h.

log_tag

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

auto num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::log_tag

staticconstexpr

Initial value:

= logging::log_tag_view(
        "num_collect::ode::runge_kutta::esdirk45_formula")

Log tag.

Definition at line 79 of file esdirk45_formula.h.

order

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

index_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::order = 5

staticconstexpr

Order of this formula.

Definition at line 73 of file esdirk45_formula.h.

stages

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

index_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::stages = 6

staticconstexpr

Number of stages of this formula.

Definition at line 70 of file esdirk45_formula.h.

z2_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::z2_ {}

private

Intermediate variable.

Definition at line 216 of file esdirk45_formula.h.

z3_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::z3_ {}

private

Intermediate variable.

Definition at line 217 of file esdirk45_formula.h.

z4_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::z4_ {}

private

Intermediate variable.

Definition at line 218 of file esdirk45_formula.h.

z5_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::z5_ {}

private

Intermediate variable.

Definition at line 219 of file esdirk45_formula.h.

z6_

template<concepts::problem Problem, concepts::update_equation_solver FormulaSolver = inexact_newton_update_equation_solver<Problem>>

variable_type num_collect::ode::runge_kutta::esdirk45_formula< Problem, FormulaSolver >::z6_ {}

private

Intermediate variable.

Definition at line 220 of file esdirk45_formula.h.

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

• include/num_collect/ode/runge_kutta/esdirk45_formula.h