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System

Description

The System concept models the algorithmic implementation of the rhs. of the ODE x' = f(x,t). The only requirement for this concept is that it should be callable with a specific parameter syntax (see below). A System is typically implemented as a function or a functor. Systems fulfilling this concept are required by all Runge-Kutta steppers as well as the Bulirsch-Stoer steppers. However, symplectic and implicit steppers work with other system concepts, see Symplectic System and Implicit System.

Notation

System

A type that is a model of System

State

A type representing the state x of the ODE

Deriv

A type representing the derivative x' of the ODE

Time

A type representing the time

sys

An object of type System

x

Object of type State

dxdt

Object of type Deriv

t

Object of type Time

Valid expressions

Name

Expression

Type

Semantics

Calculate dx/dt := f(x,t)

sys( x , dxdt , t )

void

Calculates f(x,t), the result is stored into dxdt


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