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

Third order Bogacki-Shampin method with adaptive time step. More...

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

Collaboration diagram for TNL::Solvers::ODE::Methods::BogackiShampin< 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 { 7.0/24.0, 1.0/4.0, 1.0/3.0, 1.0/8.0 }
static constexpr std::array< std::array< Value, Stages >, Stages >	k_coefficients
static constexpr std::array< Value, Stages >	lower_order_update_coefficients { 2.0/9.0, 1.0/3.0, 4.0/9.0, 0.0 }
static constexpr std::size_t	Stages = 4
static constexpr std::array< Value, Stages >	time_coefficients { 0.0, 1.0/2.0, 3.0/4.0, 1.0 }

Detailed Description

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

Third order Bogacki-Shampin 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::BogackiShampin< Value >::k_coefficients

staticconstexprprotected

Initial value:

{
      std::array< Value, Stages >{     0.0,     0.0, 0.0,     0.0 },
      std::array< Value, Stages >{ 1.0/2.0,     0.0, 0.0,     0.0 },
      std::array< Value, Stages >{     0.0, 3.0/4.0, 0.0,     0.0 },
      std::array< Value, Stages >{ 2.0/9.0, 1.0/3.0, 4.0/9.0, 0.0 }
   }

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

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