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The Second Order System concept models the algorithmic implementation of the rhs for steppers requirering the second order derivative, hence the r.h.s. of the ODE x'' = f(x,x',t). The only requirement for this concept is that it should be callable with a specific parameter syntax (see below). A Second Order System is typically implemented as a function or a functor. Systems fulfilling this concept are required by the Velocity Verlet method.
SystemA type that is a model of Second Order System
SpaceA type representing the state x of the ODE
VelocityA type representing the derivative x' of the ODE
AccelerationA type representing the second order derivative x'' of the ODE
TimeA type representing the time
sys
An object of type System
x
Object of type Space
v
Object of type Velocity
a
Object of type Acceleration
t
Object of type Time
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Name |
Expression |
Type |
Semantics |
|---|---|---|---|
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Calculate x'' := f(x,x',t) |
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Calculates f(x,x',t), the result is stored into a. |