time scheme of ODEs, non-static(Class or Struct) version More...

Functions
template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictClassicRK4 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order classical Runge-Kutta Method (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictClassicRK4Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order classical Runge-Kutta Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictKuttaRK3 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Kutta Method (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictKuttaRK3Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Kutta Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictHeunRK3 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Heun Method (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictHeunRK3Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Heun Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictRalstonRK3 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Ralston Method (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictRalstonRK3Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Ralson Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictSSPRK3 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictSSPRK3Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (non-static version)self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictGenericRK3 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 3rd-order Generic (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictGenericRK3Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 3rd-order Generic Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictMidPointRK2 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order midpoint Runge-Kutta (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictMidPointRK2Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Midpoint Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictHeunRK2 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Heun Runge-Kutta (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictHeunRK2Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Heun Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictGenericRK2 (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 2nd-order generic Runge-Kutta (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictGenericRK2Self (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 2nd-order Generic Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictEuler (T_class *const c, const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit Euler (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictEulerSelf (T_class *const c, const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit Euler Method (non-static version) self. More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB2 (T_class *const c, const T_pfun pf, const T_y &y1, const T_y &y0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Adams-Bashforth (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB2ydy (T_class *const c, const T_pfun pf, T_y &y1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Adams-Bashforth (non-static version), input y^n and dy^{n-1}... More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictAB2ydySelf (T_class *const c, const T_pfun pf, T_y &y1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Adams-Bashforth (non-static version),self, input y^n and dy^{n-1}... More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB3 (T_class *const c, const T_pfun pf, const T_y &y2, const T_y &y1, const T_y &y0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Adams-Bashforth (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB3ydy (T_class *const c, const T_pfun pf, T_y &y2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Adams-Bashforth (non-static version), input y^n and dy^{n-1}... More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictAB3ydySelf (T_class *const c, const T_pfun pf, T_y &y2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Adams-Bashforth (non-static version),self, input y^n and dy^{n-1}... More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB4 (T_class *const c, const T_pfun pf, const T_y &y3, const T_y &y2, const T_y &y1, const T_y &y0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order Adams-Bashforth (non-static version) More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB4ydy (T_class *const c, const T_pfun pf, const T_y &y3, T_y &dy2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order Adams-Bashforth (non-static version), input y^n and dy^{n-1}... More...

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictAB4ydySelf (T_class *const c, const T_pfun pf, T_y &y3, T_y &dy2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order Adams-Bashforth (non-static version),self, input y^n and dy^{n-1}... More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictClassicRK4 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order classical Runge-Kutta Method (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictClassicRK4Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order classical Runge-Kutta Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictKuttaRK3 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Kutta Method (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictKuttaRK3Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Kutta Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictHeunRK3 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Heun Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictHeunRK3Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Ralston Method (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictRalstonRK3 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Ralson Method (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictRalstonRK3Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Ralson Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictSSPRK3 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictSSPRK3Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (static version)self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictGenericRK3 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 3rd-order Generic (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictGenericRK3Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 3rd-order Generic Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictMidPointRK2 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order midpoint Runge-Kutta (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictGenericRK3Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Midpoint Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictHeunRK2 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Heun Runge-Kutta (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictHeunRK2Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Heun Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictGenericRK2 (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 2nd-order generic Runge-Kutta (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictGenericRK2Self (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt, const T_real a=0.5)
	Explicit 2nd-order Generic Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictEuler (const T_pfun pf, const T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit Euler (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictEulerSelf (const T_pfun pf, T_y &y, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit Euler Method (static version) self. More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB2 (const T_pfun pf, const T_y &y1, const T_y &y0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Adams-Bashforth (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB2ydy (const T_pfun pf, T_y &y1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Adams-Bashforth (static version), input y^n and dy^{n-1}... More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictAB2ydySelf (const T_pfun pf, T_y &y1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 2nd-order Adams-Bashforth (static version),self, input y^n and dy^{n-1}... More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB3 (const T_pfun pf, const T_y &y2, const T_y &y1, const T_y &y0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Adams-Bashforth (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB3ydy (const T_pfun pf, T_y &y2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Adams-Bashforth (static version), input y^n and dy^{n-1}... More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictAB3ydySelf (const T_pfun pf, T_y &y2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 3rd-order Adams-Bashforth (static version),self, input y^n and dy^{n-1}... More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB4 (const T_pfun pf, const T_y &y3, const T_y &y2, const T_y &y1, const T_y &y0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order Adams-Bashforth (static version) More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y	ExplictAB4ydy (const T_pfun pf, const T_y &y3, T_y &dy2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order Adams-Bashforth (static version), input y^n and dy^{n-1}... More...

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>
T_y &	ExplictAB4ydySelf (const T_pfun pf, T_y &y3, T_y &dy2, T_y &dy1, T_y &dy0, T_ext &ext, const T_real &t, const T_real &dt)
	Explicit 4th-order Adams-Bashforth (static version),self, input y^n and dy^{n-1}... More...

Variables
template<typename T >
concept	allowtype

template<typename T >
concept	realtype = std::is_floating_point<T>::value

template<typename T >
concept	classtype = std::is_class<T>::value

Detailed Description

time scheme of ODEs, non-static(Class or Struct) version

time scheme of ODEs, static version

the RK schemes can be found in: https://en.wikipedia.org/wiki/List_of_Runge%E2%80%93Kutta_methods#Generic_second-order_method
the AB schemes can be found in https://en.wikipedia.org/wiki/Linear_multistep_method

Function Documentation

◆ ExplictAB2() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB2	(	const T_pfun	pf,
		const T_y &	y1,
		const T_y &	y0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Adams-Bashforth (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y1	y^n const
y0	y^{n-1} const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB2() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB2	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y1,
		const T_y &	y0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Adams-Bashforth (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y1	y^n const
y0	y^{n-1} const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB2ydy() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB2ydy	(	const T_pfun	pf,
		T_y &	y1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Adams-Bashforth (static version), input y^n and dy^{n-1}...

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y1	y^n const
dy0	y^{n-1}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB2ydy() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB2ydy	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Adams-Bashforth (non-static version), input y^n and dy^{n-1}...

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y1	y^n const
dy0	y^{n-1}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB2ydySelf() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictAB2ydySelf	(	const T_pfun	pf,
		T_y &	y1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Adams-Bashforth (static version),self, input y^n and dy^{n-1}...

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y1	y^n, will be updated by y2 after calculating
dy0	y^{n-1}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB2ydySelf() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictAB2ydySelf	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Adams-Bashforth (non-static version),self, input y^n and dy^{n-1}...

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y1	y^n, will be updated by y2 after calculating
dy0	y^{n-1}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB3() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB3	(	const T_pfun	pf,
		const T_y &	y2,
		const T_y &	y1,
		const T_y &	y0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Adams-Bashforth (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y2	y^n const
y1	y^{n-1} const
y0	y^{n-2} const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB3() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB3	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y2,
		const T_y &	y1,
		const T_y &	y0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Adams-Bashforth (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y2	y^n const
y1	y^{n-1} const
y0	y^{n-2} const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB3ydy() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB3ydy	(	const T_pfun	pf,
		T_y &	y2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Adams-Bashforth (static version), input y^n and dy^{n-1}...

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y2	y^n const
dy1	y^{n-1}, will be updated by dy2 after calculating
dy0	y^{n-2}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB3ydy() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB3ydy	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Adams-Bashforth (non-static version), input y^n and dy^{n-1}...

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y2	y^n const
dy1	y^{n-1}, will be updated by dy2 after calculating
dy0	y^{n-2}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB3ydySelf() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictAB3ydySelf	(	const T_pfun	pf,
		T_y &	y2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Adams-Bashforth (static version),self, input y^n and dy^{n-1}...

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y2	y^n, will be updated by y3 after calculating
dy1	y^{n-1}, will be updated by dy2 after calculating
dy0	y^{n-2}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB3ydySelf() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictAB3ydySelf	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Adams-Bashforth (non-static version),self, input y^n and dy^{n-1}...

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y2	y^n, will be updated by y3 after calculating
dy1	y^{n-1}, will be updated by dy2 after calculating
dy0	y^{n-2}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB4() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB4	(	const T_pfun	pf,
		const T_y &	y3,
		const T_y &	y2,
		const T_y &	y1,
		const T_y &	y0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order Adams-Bashforth (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y3	y^n const
y2	y^{n-1} const
y1	y^{n-2} const
y0	y^{n-3} const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB4() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB4	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y3,
		const T_y &	y2,
		const T_y &	y1,
		const T_y &	y0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order Adams-Bashforth (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y3	y^n const
y2	y^{n-1} const
y1	y^{n-2} const
y0	y^{n-3} const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB4ydy() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB4ydy	(	const T_pfun	pf,
		const T_y &	y3,
		T_y &	dy2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order Adams-Bashforth (static version), input y^n and dy^{n-1}...

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y3	y^n const
dy2	y^{n-1}, will be updated by dy3 after calculating
dy1	y^{n-2}, will be updated by dy2 after calculating
dy0	y^{n-3}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB4ydy() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictAB4ydy	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y3,
		T_y &	dy2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order Adams-Bashforth (non-static version), input y^n and dy^{n-1}...

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y3	y^n const
dy2	y^{n-1}, will be updated by dy3 after calculating
dy1	y^{n-2}, will be updated by dy2 after calculating
dy0	y^{n-3}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB4ydySelf() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictAB4ydySelf	(	const T_pfun	pf,
		T_y &	y3,
		T_y &	dy2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order Adams-Bashforth (static version),self, input y^n and dy^{n-1}...

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y3	y^n, will be updated by y4 after calculating
dy2	y^{n-1}, will be updated by dy3 after calculating
dy1	y^{n-2}, will be updated by dy2 after calculating
dy0	y^{n-3}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictAB4ydySelf() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictAB4ydySelf	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y3,
		T_y &	dy2,
		T_y &	dy1,
		T_y &	dy0,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order Adams-Bashforth (non-static version),self, input y^n and dy^{n-1}...

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y3	y^n, will be updated by y4 after calculating
dy2	y^{n-1}, will be updated by dy3 after calculating
dy1	y^{n-2}, will be updated by dy2 after calculating
dy0	y^{n-3}, will be updated by dy1 after calculating
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictClassicRK4() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictClassicRK4	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order classical Runge-Kutta Method (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictClassicRK4() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictClassicRK4	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order classical Runge-Kutta Method (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictClassicRK4Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictClassicRK4Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order classical Runge-Kutta Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1},

◆ ExplictClassicRK4Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictClassicRK4Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 4th-order classical Runge-Kutta Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1},

◆ ExplictEuler() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictEuler	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit Euler (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictEuler() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictEuler	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit Euler (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictEulerSelf() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictEulerSelf	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit Euler Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictEulerSelf() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictEulerSelf	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit Euler Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictGenericRK2() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictGenericRK2	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 2nd-order generic Runge-Kutta (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step
a	\neq 0, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK2() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictGenericRK2	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 2nd-order generic Runge-Kutta (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step
a	\neq 0, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK2Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictGenericRK2Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 2nd-order Generic Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step
a	\neq 0, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK2Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictGenericRK2Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 2nd-order Generic Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step
a	\neq 0, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK3() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictGenericRK3	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 3rd-order Generic (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step
a	\neq 0, 2/3,1, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK3() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictGenericRK3	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 3rd-order Generic (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step
a	\neq 0, 2/3,1, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK3Self() [1/3]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictGenericRK3Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Midpoint Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictGenericRK3Self() [2/3]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictGenericRK3Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 3rd-order Generic Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step
a	\neq 0, 2/3,1, default:0.5

Returns: T_y y^{n+1}

◆ ExplictGenericRK3Self() [3/3]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictGenericRK3Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt,
		const T_real	a = `0.5`
	)

Explicit 3rd-order Generic Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step
a	\neq 0, 2/3,1, default:0.5

Returns: T_y y^{n+1}

◆ ExplictHeunRK2() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictHeunRK2	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Heun Runge-Kutta (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK2() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictHeunRK2	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Heun Runge-Kutta (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK2Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictHeunRK2Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Heun Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK2Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictHeunRK2Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Heun Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK3() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictHeunRK3	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Heun Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK3() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictHeunRK3	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Heun Method (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK3Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictHeunRK3Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Ralston Method (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictHeunRK3Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictHeunRK3Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Heun Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictKuttaRK3() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictKuttaRK3	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Kutta Method (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictKuttaRK3() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictKuttaRK3	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Kutta Method (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictKuttaRK3Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictKuttaRK3Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Kutta Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictKuttaRK3Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictKuttaRK3Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Kutta Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictMidPointRK2() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictMidPointRK2	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order midpoint Runge-Kutta (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictMidPointRK2() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictMidPointRK2	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order midpoint Runge-Kutta (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictMidPointRK2Self()

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictMidPointRK2Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 2nd-order Midpoint Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictRalstonRK3() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictRalstonRK3	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Ralson Method (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictRalstonRK3() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictRalstonRK3	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Ralston Method (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictRalstonRK3Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictRalstonRK3Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Ralson Method (static version) self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictRalstonRK3Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictRalstonRK3Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Ralson Method (non-static version) self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwirted by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictSSPRK3() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictSSPRK3	(	const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (static version)

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictSSPRK3() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y ode::ExplictSSPRK3	(	T_class *const	c,
		const T_pfun	pf,
		const T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (non-static version)

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n const
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictSSPRK3Self() [1/2]

template<typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictSSPRK3Self	(	const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (static version)self.

Template Parameters

T_pfun	type of pointer of function
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

pf	pointer of function
y	y^n, will be overwrited by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

◆ ExplictSSPRK3Self() [2/2]

template<classtype T_class, typename T_pfun , allowtype T_y, typename T_ext , realtype T_real>

T_y& ode::ExplictSSPRK3Self	(	T_class *const	c,
		const T_pfun	pf,
		T_y &	y,
		T_ext &	ext,
		const T_real &	t,
		const T_real &	dt
	)

Explicit 3rd-order Strong Stability Preserving Runge-Kutta (SSPRK3) (non-static version)self.

Template Parameters

T_class	class or structure
T_pfun	type of pointer of member function of class or strucutre
T_y	type of y^n
T_ext	type of extra parameters
T_real	type of real

Parameters

c	class
pf	pointer of member function of class or strucutre
y	y^n, will be overwrited by y^{n+1}
ext	extra parameters
t	time
dt	time step

Returns: T_y y^{n+1}

Variable Documentation

◆ allowtype

template<typename T >

concept ode::allowtype

Initial value:

= !requires(T a) 
    {
        a.resizeAndPreserve(0);
    }

◆ classtype

template<typename T >

concept ode::classtype = std::is_class<T>::value

◆ realtype

template<typename T >

concept ode::realtype = std::is_floating_point<T>::value

Functions

Variables

Detailed Description

Function Documentation

◆ ExplictAB2() [1/2]

◆ ExplictAB2() [2/2]

◆ ExplictAB2ydy() [1/2]

◆ ExplictAB2ydy() [2/2]

◆ ExplictAB2ydySelf() [1/2]

◆ ExplictAB2ydySelf() [2/2]

◆ ExplictAB3() [1/2]

◆ ExplictAB3() [2/2]

◆ ExplictAB3ydy() [1/2]

◆ ExplictAB3ydy() [2/2]

◆ ExplictAB3ydySelf() [1/2]

◆ ExplictAB3ydySelf() [2/2]

◆ ExplictAB4() [1/2]

◆ ExplictAB4() [2/2]

◆ ExplictAB4ydy() [1/2]

◆ ExplictAB4ydy() [2/2]

◆ ExplictAB4ydySelf() [1/2]

◆ ExplictAB4ydySelf() [2/2]

◆ ExplictClassicRK4() [1/2]

◆ ExplictClassicRK4() [2/2]

◆ ExplictClassicRK4Self() [1/2]

◆ ExplictClassicRK4Self() [2/2]

◆ ExplictEuler() [1/2]

◆ ExplictEuler() [2/2]

◆ ExplictEulerSelf() [1/2]

◆ ExplictEulerSelf() [2/2]

◆ ExplictGenericRK2() [1/2]

◆ ExplictGenericRK2() [2/2]

◆ ExplictGenericRK2Self() [1/2]

◆ ExplictGenericRK2Self() [2/2]

◆ ExplictGenericRK3() [1/2]

◆ ExplictGenericRK3() [2/2]

◆ ExplictGenericRK3Self() [1/3]

◆ ExplictGenericRK3Self() [2/3]

◆ ExplictGenericRK3Self() [3/3]

◆ ExplictHeunRK2() [1/2]

◆ ExplictHeunRK2() [2/2]

◆ ExplictHeunRK2Self() [1/2]

◆ ExplictHeunRK2Self() [2/2]

◆ ExplictHeunRK3() [1/2]

◆ ExplictHeunRK3() [2/2]

◆ ExplictHeunRK3Self() [1/2]

◆ ExplictHeunRK3Self() [2/2]

◆ ExplictKuttaRK3() [1/2]

◆ ExplictKuttaRK3() [2/2]

◆ ExplictKuttaRK3Self() [1/2]

◆ ExplictKuttaRK3Self() [2/2]

◆ ExplictMidPointRK2() [1/2]

◆ ExplictMidPointRK2() [2/2]

◆ ExplictMidPointRK2Self()

◆ ExplictRalstonRK3() [1/2]

◆ ExplictRalstonRK3() [2/2]

◆ ExplictRalstonRK3Self() [1/2]

◆ ExplictRalstonRK3Self() [2/2]

◆ ExplictSSPRK3() [1/2]

◆ ExplictSSPRK3() [2/2]

◆ ExplictSSPRK3Self() [1/2]

◆ ExplictSSPRK3Self() [2/2]

Variable Documentation

◆ allowtype

◆ classtype

◆ realtype