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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.
SystemA type that is a model of System
StateA type representing the state x of the ODE
DerivA type representing the derivative x' of the ODE
TimeA 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
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Name |
Expression |
Type |
Semantics |
|---|---|---|---|
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Calculate dx/dt := f(x,t) |
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Calculates f(x,t), the result is stored into dxdt |