TNL::Solvers::ODE::Methods::Fehlberg5< Value > Struct Template Reference

Fifth order Runge-Kutta-Fehlberg method with adaptive time step. More...

#include <TNL/Solvers/ODE/Methods/Fehlberg5.h>

Collaboration diagram for TNL::Solvers::ODE::Methods::Fehlberg5< Value >:

Public Types
using	ValueType = Value

Static Public Member Functions
static constexpr ValueType	getCoefficient (const std::size_t stage, const std::size_t i)
static constexpr ValueType	getErrorCoefficient (std::size_t i)
static constexpr std::size_t	getStages ()
static constexpr ValueType	getTimeCoefficient (std::size_t i)
static constexpr ValueType	getUpdateCoefficient (std::size_t i)
static constexpr bool	isAdaptive ()

Static Protected Attributes
static constexpr std::array< Value, Stages >	higher_order_update_coefficients { 16.0/135.0, 0.0, 6656.0/12825.0, 28561.0/56430.0, -9.0/50.0, 2.0/55.0 }
static constexpr std::array< std::array< Value, Stages >, Stages >	k_coefficients
static constexpr std::array< Value, Stages >	lower_order_update_coefficients { 25.0/216.0, 0.0, 1408.0/ 2565.0, 2197.0/ 4104.0, -1.0/5.0, 0.0 }
static constexpr std::size_t	Stages = 6
static constexpr std::array< Value, Stages >	time_coefficients { 0.0, 1.0/4.0, 3.0/8.0, 12.0/13.0, 1.0, 1.0/2.0 }

Detailed Description

template<typename Value = double>
struct TNL::Solvers::ODE::Methods::Fehlberg5< Value >

Fifth order Runge-Kutta-Fehlberg method with adaptive time step.

Template Parameters

Value

is arithmetic type used for computations.

Member Data Documentation

k_coefficients

template<typename Value = double>

std::array< std::array< Value, Stages>, Stages > TNL::Solvers::ODE::Methods::Fehlberg5< Value >::k_coefficients

staticconstexprprotected

Initial value:

{
      std::array< Value, Stages >{    0.0,            0.0,           0.0,            0.0,           0.0,        0.0 },
      std::array< Value, Stages >{    1.0/   4.0,     0.0,           0.0,            0.0,           0.0,        0.0 },
      std::array< Value, Stages >{    3.0/  32.0,     9.0/  32.0,    0.0,            0.0,           0.0,        0.0 },
      std::array< Value, Stages >{ 1932.0/2197.0, -7200.0/2197.0, 7296.0/2197.0,     0.0,           0.0,        0.0 },
      std::array< Value, Stages >{  439.0/ 216.0,    -8.0,        3680.0/ 513.0,  -845.0/4104.0,    0.0,        0.0 },
      std::array< Value, Stages >{   -8.0/  27.0,     2.0,        -3544.0/2565.0, 1859.0/4104.0,  -11.0/  40.0, 0.0 }
   }

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

• src/TNL/Solvers/ODE/Methods/Fehlberg5.h