Documentation

Arguments

:: AbstractVector v
=> (p -> v -> p)	Definition of vector addition.
-> (Time -> p -> Rate v)	Differential equation, representing velocity in terms of position at an absolute time.
-> p	Initial value.
-> Time	Starting time.
-> Time	Ending time.
-> p

Implementation of RK4 that time steps a system in which velocity is a function of absolute time and position.

Arguments

:: AbstractVector v
=> (p -> v -> p)	Definition of vector addition.
-> (Time -> p -> Rate v)	Differential equation, representing velocity in terms of position at an absolute time.
-> p	Initial value.
-> Time	Starting time.
-> Time	Ending time.
-> Integer	Number of time steps.
-> p

Implementation of RK4 that repeatedly time steps a system in which velocity is a function of absolute time and position.

Arguments

:: AbstractVector v
=> (p -> v -> p)	Definition of vector addition.
-> (Time -> p -> Rate v -> Acceleration v)	Differential equation, representing acceleration in terms of position and velocity at an absolute time.
-> (p, Rate v)	Initial value.
-> Time	Starting time.
-> Time	Ending time.
-> (p, Rate v)

Implementation of RK4 that time steps a system in which acceleration is a function of absolute time, position and velocity.

Arguments

:: AbstractVector v
=> (p -> v -> p)	Definition of vector addition.
-> (Time -> p -> Rate v -> Acceleration v)	Differential equation, representing acceleration in terms of position and velocity at an absolute time.
-> (p, Rate v)	Initial value.
-> Time	Starting time.
-> Time	Ending time.
-> Integer	Number of time steps.
-> (p, Rate v)

Implementation of RK4 that repeatedly time steps a system in which acceleration is a function of absolute time, position and velocity.