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 |