Error Stepper

This concepts specifies the interface an error stepper has to fulfill to be used within a ControlledErrorStepper.

An error stepper following this Error Stepper concept is capable of doing one step of the solution x(t) of an ODE with step-size dt to obtain x(t+dt) and also computing an error estimate /x_err/ of the result. Error Steppers can be Runge Kutta steppers, symplectic steppers as well as implicit steppers. Based on the stepper type, the ODE is defined as System, Symplectic System, Simple Symplectic System or Implicit System.

Notation

ErrorStepper: A type that is a model of Error Stepper
State: A type representing the state x of the ODE
Error: A type representing the error calculated by the stepper, usually same as State
Time: A type representing the time t of the ODE
stepper: An object of type ErrorStepper
x: Object of type State
xerr: Object of type Error
t, dt: Objects of type Time
sys: An object defining the ODE, should be a model of either System, Symplectic System, Simple Symplectic System or Implicit System.

Valid Expressions

Name	Expression	Type	Semantics
Do step	`stepper.do_step( sys , x , t , dt , xerr )`	`void`	Performs one step of step size `dt` with error estimation. The newly obtained state is written in-place to `x` and the estimated error to `xerr`.
Do step with reference	`stepper.do_step( boost::ref(sys) , x , t , dt , xerr )`	`void`	Performs one step of step size `dt`. The newly obtained state is written in-place to `x` and the estimated error to `xerr`.

Models

runge_kutta_cash_karp54
runge_kutta_dopri5
runge_kutta_fehlberg78

Error Stepper

Description

Notation

Valid Expressions

Models