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

Fourth order Runge-Kutta-Merson method with adaptive step size. More...

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

Collaboration diagram for TNL::Solvers::ODE::Methods::KuttaMerson< 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 >	error_coefficients { 0.2/3.0, 0.0, -0.3, 0.8/3.0, -0.1/3.0 }
static constexpr std::array< std::array< Value, Stages >, Stages >	k_coefficients
static constexpr std::size_t	Stages = 5
static constexpr std::array< Value, Stages >	time_coefficients { 0.0, 1.0/3.0, 1.0/3.0, 0.5, 1.0 }
static constexpr std::array< Value, Stages >	update_coefficients { 1.0/6.0, 0.0, 0.0, 2.0/3.0, 1.0/6.0 }

Detailed Description

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

Fourth order Runge-Kutta-Merson method with adaptive step size.

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::KuttaMerson< Value >::k_coefficients

staticconstexprprotected

Initial value:

{
      std::array< Value, Stages >{     0.0,     0.0,   0.0, 0.0 },
      std::array< Value, Stages >{ 1.0/3.0,     0.0,   0.0, 0.0 },
      std::array< Value, Stages >{ 1.0/6.0, 1.0/6.0,   0.0, 0.0 },
      std::array< Value, Stages >{   0.125,     0.0, 0.375, 0.0 },
      std::array< Value, Stages >{     0.5,     0.0,  -1.5, 2.0 }
   }

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

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