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

#include "ode_constraints.hpp"

Include dependency graph for timescheme_nonstatic.hpp:

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

Functions
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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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. More...

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) More...

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}... More...

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}... More...

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) More...

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}... More...

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}... More...

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) More...

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}... More...

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}... More...

Detailed Description

time scheme of ODEs, non-static(Class or Struct) 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
Author
Zhiwen Cui

Version
0.0.0.1

Date
2022.4.2

Namespaces

Functions

Detailed Description