This concepts specifies the interface a simple stepper has to fullfill to be used within the integrate functions.
The basic stepper concept. A basic stepper following this Stepper concept is able to perform a single step of the solution x(t) of an ODE to obtain x(t+dt) using a given step size dt. Basic steppers can be Runge Kutta steppers, symplectic steppers as well as implicit steppers. Depending on the actual stepper, the ODE is defined as System, Symplectic System, Simple Symplectic System or Implicit System. Note that all error steppers are also basic steppers.
StepperA type that is a model of Stepper
StateA type representing the state x of the ODE
TimeA type representing the time t of the ODE
stepper
An object of type Stepper
x
Object of type State
t, dt
Objects of type Time
sysAn object defining the ODE. Depending on the Stepper this might be a model of System, Symplectic System, Simple Symplectic System or Implicit System
|
Name |
Expression |
Type |
Semantics |
|---|---|---|---|
|
Do step |
|
|
Performs one step of step size |
|
Do step with reference |
|
|
Performs one step of step size |