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

Fifth order Cash-Karp method with adaptive time step. More...

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

Collaboration diagram for TNL::Solvers::ODE::Methods::CashKarp< 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 { 37.0/378.0, 0.0, 250.0/621.0, 125.0/594.0, 0.0, 512.0/1771.0 }
static constexpr std::array< std::array< Value, Stages >, Stages >	k_coefficients
static constexpr std::array< Value, Stages >	lower_order_update_coefficients { 2825.0/27648.0, 0.0, 18575.0/48384.0, 13525.0/55296.0, 277.0/14336.0, 1.0/4.0 }
static constexpr std::size_t	Stages = 6
static constexpr std::array< Value, Stages >	time_coefficients { 0.0, 1.0/5.0, 3.0/10.0, 3.0/5.0, 1.0, 7.0/8.0 }

Detailed Description

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

Fifth order Cash-Karp 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::CashKarp< 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/    5.0,    0.0,        0.0,    0.0,     0.0,            0.0        },
      std::array< Value, Stages >{     3.0/   40.0,   9.0/ 40.0,   0.0,    0.0,     0.0,            0.0        },
      std::array< Value, Stages >{     3.0/   10.0,  -9.0/ 10.0,   6.0/    5.0,     0.0,            0.0        },
      std::array< Value, Stages >{   -11.0/   54.0,   5.0/  2.0, -70.0/   27.0,    35.0/    27.0,   0.0        },
      std::array< Value, Stages >{  1631.0/55296.0, 175.0/512.0, 575.0/13824.0, 44275.0/110592.0, 253.0/4096.0 }
   }

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

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