NAV::ButcherTableau Namespace Reference

Functions
template<typename Y, typename Z, std::floating_point Scalar, size_t s, std::array< std::array< Scalar, s+1 >, s+1 > butcherTableau>
Y	RungeKuttaExplicit (const Y &y_n, const std::array< Z, s > &z, const Scalar &h, const auto &f, const auto &constParam, const Scalar &t_n)
	Calculates explicit Runge-Kutta methods. Order is defined by the Butcher tableau.

Variables
template<typename Scalar>
constexpr std::array< std::array< Scalar, 3 >, 3 >	Heun2
	Butcher tableau for Heun's method (2nd order) (explicit)
template<typename Scalar>
constexpr std::array< std::array< Scalar, 4 >, 4 >	Heun3
	Butcher tableau for Heun's method (3nd order) (explicit)
template<typename Scalar>
constexpr std::array< std::array< Scalar, 2 >, 2 >	RK1
	Butcher tableau for Runge-Kutta 1st order (explicit) / (Forward) Euler method.
template<typename Scalar>
constexpr std::array< std::array< Scalar, 3 >, 3 >	RK2
	Butcher tableau for Runge-Kutta 2nd order (explicit) / Explicit midpoint method.
template<typename Scalar>
constexpr std::array< std::array< Scalar, 4 >, 4 >	RK3
	Butcher tableau for Runge-Kutta 3rd order (explicit) / Simpson's rule.
template<typename Scalar>
constexpr std::array< std::array< Scalar, 5 >, 5 >	RK4
	Butcher tableau for Runge-Kutta 4th order (explicit)

Function Documentation

RungeKuttaExplicit()

template<typename Y, typename Z, std::floating_point Scalar, size_t s, std::array< std::array< Scalar, s+1 >, s+1 > butcherTableau>

Y NAV::ButcherTableau::RungeKuttaExplicit ( const Y & y_n, const std::array< Z, s > & z, const Scalar & h, const auto & f, const auto & constParam, const Scalar & t_n )

inline

Calculates explicit Runge-Kutta methods. Order is defined by the Butcher tableau.

Parameters

[in]	y_n	State vector at time t_n
[in]	z	Array of measurements, one for each evaluation point of the Runge Kutta
[in]	h	Integration step in [s]
[in]	f	Time derivative function
[in]	constParam	Constant parameters passed to each time derivative function call
[in]	t_n	Time t_n

Returns

State vector at time t_(n+1)

Definition at line 44 of file NumericalIntegration.hpp.

Variable Documentation

Heun2

template<typename Scalar>

std::array<std::array<Scalar, 3>, 3> NAV::ButcherTableau::Heun2

constexpr

Butcher tableau for Heun's method (2nd order) (explicit)

Definition at line 124 of file NumericalIntegration.hpp.

Heun3

template<typename Scalar>

std::array<std::array<Scalar, 4>, 4> NAV::ButcherTableau::Heun3

constexpr

Butcher tableau for Heun's method (3nd order) (explicit)

Definition at line 139 of file NumericalIntegration.hpp.

RK1

template<typename Scalar>

std::array<std::array<Scalar, 2>, 2> NAV::ButcherTableau::RK1

constexpr

Butcher tableau for Runge-Kutta 1st order (explicit) / (Forward) Euler method.

Definition at line 111 of file NumericalIntegration.hpp.

RK2

template<typename Scalar>

std::array<std::array<Scalar, 3>, 3> NAV::ButcherTableau::RK2

constexpr

Butcher tableau for Runge-Kutta 2nd order (explicit) / Explicit midpoint method.

Definition at line 117 of file NumericalIntegration.hpp.

RK3

template<typename Scalar>

std::array<std::array<Scalar, 4>, 4> NAV::ButcherTableau::RK3

constexpr

Butcher tableau for Runge-Kutta 3rd order (explicit) / Simpson's rule.

Definition at line 131 of file NumericalIntegration.hpp.

RK4

template<typename Scalar>

std::array<std::array<Scalar, 5>, 5> NAV::ButcherTableau::RK4

constexpr

Butcher tableau for Runge-Kutta 4th order (explicit)

Definition at line 147 of file NumericalIntegration.hpp.