Traum Namespace Reference

Traum - Integration and Solving Differential Equation in Time and Space, i.e. More...

Classes
class	AdaptiveRungeKutta
	Explicit Runge Kutta, defined via a butcher tableau. More...
struct	BTFehlberg45
	Butcher table for Fehlerberg4(5) method see Hairer, Norsett, Wanner, second edition 2000, page 176. More...
struct	BTMerson45
	Butcher table for Merson4(5) method see Hairer, Norsett, Wanner, second edition 2000, page 167. More...
struct	BTRk32
	Method of Griepentrog. More...
struct	BTRk38r
	Runge 3/8-Rule method. More...
struct	BTRk4
	THE Runge method. More...
class	ButcherTableau
	Template class specifying a butcher table: More...
class	dop853
	Runge-Kutta solver of order 8 with dense output. More...
struct	dop_vars
struct	DynamicArray
	A really simple array class that allows to set the size of the array at runtime (. More...
class	Euler
	A solver implementing the so called explicit Euler method, using constant stepsize: y_{n+1} = y_n + h * f(t_n,y_n) More...
class	IntegratePath853
class	IntegratePath853d
class	IntegratePath853f
class	IntegratePath853ld
	DOP853 for second order differential equations solved using long doubles. More...
struct	Integrator
	Abstract base class for integration over a certain real type, e.g. More...
struct	IntegratorBase
	Abstract base class for integrators. More...
struct	IntegratorImpl
struct	IntegratorImpl< double >
struct	IntegratorImpl< float >
struct	IntegratorImpl< long double >
class	Rk4
	A solver implementing the so called explicit RK4 method, using constant stepsize: y_{n+1} = y_n + h/6( k1 + 2k2 + 2k3 + k4) More...
struct	SecondOrderDiffEquationIP853
class	SecondOrderIntegrator853
class	SecondOrderIntegrator853< double >
class	SecondOrderIntegrator853< float >
class	SecondOrderIntegrator853< long double >
struct	VirtualSecondOrderDiffEquation
	Implementation of a differential equation of 2nd order for the dop853 solver. More...

Enumerations
enum	success_code {   StepOk = 0 , FirstStepOk = 1 , Finished = 2 , inputerror = -1 ,   nmax_too_small = -2 , step_size_becomes_too_small = -3 , problem_is_probably_stiff = -4 }
	Return codes of the integration routines. More...

Detailed Description

Traum - Integration and Solving Differential Equation in Time and Space, i.e.

in Zeit und Raum.

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Class Documentation

Traum::IntegratorImpl

struct Traum::IntegratorImpl

template<class RealType>
struct Traum::IntegratorImpl< RealType >

Enumeration Type Documentation

success_code

enum Traum::success_code

Return codes of the integration routines.

Enumerator
StepOk	Integration step performed, fine to continue.
FirstStepOk	Initial step performed, fine to continue.
Finished	Integration complete (end value reached)
inputerror	Some input parameters are wrong.
step_size_becomes_too_small	The step size becomes to small
problem_is_probably_stiff	The problem is probably stiff and can't be solved with DOP853.