Numerical integration methods
In order to integrate the previous equation, we will use numerical integration
methods. These methods are splitted into two categories:
-
Explicit Integrations
These methods are based on Taylor expansion of the previous equation
: Euler (1st order), Mid-point
(2nd order), Runge-Kutta (4th order).
They are relatively easy to implement but are submitted to instability.
-
Implicit Integrations
These methods reformulate the previous equation into a system
of equations. These methods are very stable but difficult
to implement.
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