rungekutta.hh File Reference

#include "vector.hh"
#include "newton.hh"

Go to the source code of this file.

Classes
class	hdnum::ImplicitRungeKuttaStepProblem< M >
	Nonlinear problem we need to solve to do one step of an implicit Runge Kutta method. More...
class	hdnum::RungeKutta< M, S >
	classical Runge-Kutta method (order n with n stages) More...

Functions
template<class M , class S >
void	hdnum::ordertest (const M &model, S solver, typename M::number_type T, typename M::number_type h_0, int l)
	Test convergence order of an ODE solver applied to a model problem.

Detailed Description

@general Runge-Kutta solver

Function Documentation

ordertest()

template<class M , class S >

void hdnum::ordertest	(	const M &	model,
		S	solver,
		typename M::number_type	T,
		typename M::number_type	h_0,
		int	l )

Test convergence order of an ODE solver applied to a model problem.

Template Parameters

M	Type of model
S	Type of ODE solver

Parameters

model	Model problem
solver	ODE solver
T	Solve to time T
dt	Roughest time step size
l	Number of different time step sizes dt, dt/2, dt/4, ...